Now we have a new proportion that out of 3500 pizzas there are a total of 692 thick crust pizzas
Mancini's sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found.
Type of Crust Number Sold
Thin crust 306
Thick crust 212
Stuffed crust 178
Pan style 191
Based on this information, of the next 3500 pizzas he sells, how many should he expect to be thick crust? Round your answer to the nearest whole number. Do not round any intermediate calculations.
692 thick crust pizzas
With the data given in the exercise, we must first find the total number of pizzas, then we must find the proportion between the thick crust pizzas and the total number of pizzas, finally we must propose a rule of three to find the new proportion of crust pizzas thick on a total of 3500 pizzas.
Type of Crust Number Sold
Thin crust 306
Thick crust 212
Stuffed crust 178
Pan style 191
total pizzas : 1040
Now we must calculate for 3500 pizzas how much would be the total of thick crust pizzas. For that we must use the relationship found, that is, in 1040 pizzas there are 240 thick crust pizzas
x = 692
Now we have a new proportion that out of 3500 pizzas there are a total of 692 thick crust pizzas
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Explaining How to Write a Quad
Explain how you could write a quadratic function in
factored form that would have a vertex with an x-
coordinate of 3 and two distinct roots.
y = (x - 4) (x - 4) The factored quadratic function (x - 2) has a vertex with an x-coordinate of 3, and two unique roots.
what is function ?The study of mathematics covers numbers and their variations, equations and related structures, shapes and their locations, and locations where they can be found. The relationship between a group of inputs, each of which has a corresponding output, is referred to as a "function." A function is a relationship between inputs and outputs where each input produces a single, unique result. Each function is assigned a domain and a codomain, or scope. Typically, the symbol f is used to represent functions (x). input consists of an x. Based on the following criteria, there are four primary categories of functions that are available: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
given
Two distinct roots means two real solutions for x (the parabola needs to cross the x-axis twice)
Vertex form of a quadratic equation: (h,k) is vertex
y = a(x-h)^2 + k
The x of the vertex needs to equal 3
y = a(x-3)^2 + k
y = (x-3)^2 - 1
y = x^2 -6x + 8
y = (x - 4) (x - 4) The factored quadratic function (x - 2) has a vertex with an x-coordinate of 3, and two unique roots.
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What are the 5 properties of inequality?
The set of properties for inequalities is as follows:
1. Additive characteristics of inequality
2. Inequality's subtraction property
3. The inequality's multiplication property
4. The unequal division property
5. Converse Property
An inequality is a relationship between two expressions that can be described mathematically and can be represented by any of the following symbols: >, <, ≤, ≥, =, and ≠.
The set of properties for inequalities is as follows:
1. Additive characteristics of inequality: The inequality remains the same even if both sides are given the same value.
2. Inequality's subtraction property: The inequality remains the same even after deducting the same amount from each side of it.
3. The inequality's multiplication property: Take p and q, two positive numbers. When p and q are both multiplied by the same positive value, the inequality stays the same. However, the inequality changes when p and q are both multiplied by the same negative value.
4. The unequal division property: Take p and q, two positive numbers. When p and q are both divided by the same positive number, the inequality is unaffected. However, the inequality is reversed when p and q are split by the same negative value.
5. Converse Property: According to the converse property, all we need to do to reverse the inequality symbol is flip the number.
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A cube has a surface area of 181. 5 sq. In. What is the length of its sides? 5. 5 inches 45. 375 inches 30. 25 inches.
The length of side of the cube with 181 square inches surface area is 5.5 inches
The information that was provided indicates that the surface area of the cube is 181.5 square inches. A cube's surface area is calculated as the square of the length of each side multiplied by 6. The formula to use in order to get the total surface area of a cube is = 6a²
Where "a" represents the side of the cube.
As a result, 6a² = 181.5 square inches
a² = 181.5/6
a² = 30.25
a² = √30.25
a = 5.5 inches
Therefore, each face of the cube is 5.5 inches on a side.
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What are the 5 common geometric shapes?
Circle, triangle, rectangle, rhombus, square, and trapezoid are the 5 common geometric shapes.
Who named geometry?The father of geometry, Euclid was a brilliant mathematician. Learn more about Euclid and the history of some of the math ideas we use today to see how important they have become.
The terms "ge" and "metria," which both imply "measuring," are the origins of geometry. For more than 2000 years, the Greeks' method of approaching geometry has served as the foundation for geometry.
The study of various mathematical or actual-world forms, figures, and sizes is known as Geometry. We learn about various angles, transformations, and similarities between the forms in geometry. The point, line, and plane are the main building blocks of geometry.
Thus, circle, triangle, rectangle, rhombus, square, and trapezoid are the 5 common geometric shapes.
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Circle, triangle, rectangle, rhombus, square, and trapezoid are the 5 common geometric shapes.
Define geometric shapes.Any building, whether open or closed, with a specific shape and characteristics composed of lines, curves, and points is referred to as a geometric shape. Squares, rectangles, circles, cones, cylinders, spheres, and so on are a few examples of well-known geometric forms. Each of these forms has specific characteristics that set them apart from other shapes.
Figures enclosed by a boundary created by combining a specific number of curves, points, and line segments are referred to as geometric forms. Every shape has a distinctive name like a circle, square, triangle, or rectangle, for example. In everyday life, we are surrounded by a variety of fundamental geometric forms, such as the triangle-shaped pizza slice, rectangle-shaped doors and windows, and many more.
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If the bu travel more than 28 mile, how much dieel i left? Expre your anwer in the form of an inequality
The amount of diesel remaining after traveling more than 28 miles will always be greater than or equal to 0.
If a vehicle uses diesel fuel, the amount of diesel remaining after traveling more than 28 miles will depend on the efficiency of the vehicle and the total capacity of the tank. We can express this as an inequality by saying that the diesel remaining will always be greater than or equal to 0.
diesel remaining ≥ 0
The amount of diesel remaining after traveling more than 28 miles will always be greater than or equal to 0.
The amount of diesel remaining after traveling more than 28 miles will depend on the efficiency of the vehicle and the total capacity of the tank. We can express this as an inequality, which states that the diesel remaining will always be greater than or equal to 0. This means that no matter how far the vehicle has traveled, there will always be some diesel left in the tank.
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Whiskers the cat weighs kg. Piglio weighs 4 kg. Write a multiplication equation and a division equation for the question.
How many times as heavy as Piglio is Whiskers?
The ratio between the weights, giving how much Piglio is heavier than Whiskers, is given as follows:
1.5.
How to obtain the ratio between two amounts?The ratio between two amounts a and b is obtained applying the proportion between these two amounts, that is, dividing a by b, as follows:
Ratio = a/b.
Which gives how many times greater the measure a is than the measure b, if the ratio is greater than 1.
The weight for each cat in this problem is given as follows:
Whiskers: 2 and 2/3 kg -> as a decimal 2 + 2/3 = 2 + 0.67 = 2.67 kg.Piglio: 4kg.The ratio between the weights of Piglio and Whiskers is given as follows:
Ratio = 4/2.67
Ratio = 1.5.
Meaning that Piglio is 1.5 times heavier than Whiskers.
Missing Information:Whisker's weight is given as follows: 2 and 2/3 kg.
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2 large solar panels can charge an electric car
in the same time as 6 small solar panels.
If 2 large solar panels can charge a car in
240 minutes, how many minutes would it take
for 5 large solar panels and 3 small solar
panels to charge the car?
The time taken by 5 large solar panels and 3 small solar panels to charge a car, found using the unitary method, is 576 minutes.
What is unitary method?The unitary approach is a method for problem-solving that involves first determining the value of a single unit, and then determining the necessary value by multiplying the single unit value.
Given
Time taken by 2 large solar panels to charge a car = 240 minutes
Time taken by 2 large solar panels to charge a car
= Time taken by 6 small solar panels to charge a car = 240 minutes
The unitary method can be used to find the charging times of 1 large and 1 small solar panel.
The time taken by 1 solar panel is greater than time taken by 2 large and 6 small solar panels.
Time taken by 1 small solar panel = 240 * 6 = 1440 minutes
Time taken by 1 large solar panel = 240 * 2 = 480 minutes
Therefore the time taken by 5 large solar panels and 3 small solar panels to charge a car = (480/5)+ (1440/3) =96 + 480= 576 minutes.
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Adalyn is stocking up on cans of soup for the winter. They are on sale for $2.25 each and she has a $3 coupon. If she can spend no more than $30 on soup, how many cans can she buy?
Using simple mathematical operations, we know that Adalyn can purchase 14 cans if she spends no more than $30.
What are mathematical operations?An operation is a function in mathematics that transforms zero or even more input values into a clearly defined output value.
The firm's arity is influenced by the number of operands.
Most people believe that addition, subtraction, multiplication, and division are the four basic operations in mathematics.
So, we know that:
Money =30 + 3 = 33
Price per can 2.25.
Then, she can buy:
33/2.25 = 14.67
Round off to 14 cans.
Therefore, using simple mathematical operations, we know that Adalyn can purchase 14 cans if she spends no more than $30.
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The functions approximate the velocities (in meters per second) of an object
dropped from a height of x feet right before it hits the ground on Earth and Venus.
What is the velocity of an object dropped from a height of 100 feet right before it
hits the ground on Venus?
Earth: E(x) = 4.4√x
Venus: V(x) = 0.9 x E(x)
The velocity of the object dropped from a height of 100 feet is equal to 21.86 m/sec
What is the speed of an object?Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time
Given here: V(x)=0.9×4.4√x
Thus if x=100feet or 30.47 m putting this value in the equation we get
V(30.47)=0.9×4.4√30.47
= 21.86 m/sec
Hence, the velocity of the object dropped from a height of 100 feet is equal to 21.86 m/sec
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The lines graphed below are parallel. The slope of the red line is - What is
3
the slope of the green line?
m=
O A. - 13/3
B. 3/1
OB.
O
c. - 3/1
D. 437
5
The slope of the green line is -4/3.
The correct option is C.
What is the slope of the line?
The slope of a line is a measure of how steep the line is and the direction it is going. It is defined as the ratio of the "rise" (the change in the y-coordinate) to the "run" (the change in the x-coordinate) between two points on the line.
The slope of a line is often represented by the letter "m" and can be calculated using the following formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are two points on the line.
It is given that the lines graphed below are parallel.
We know that if two line having slopes m₁ and m₂ are parallel, then
m1 = m2
In other words, the slopes of two parallel lines are the same.
The slope of the red line is -4/3 and it is parallel to the green line. It means the slope of red and green line are the same.
The slope of green line = Slope of the red line
The slope of the green line = -4/3
Hence, The slope of the green line is -4/3.
The correct option is C.
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The slope of the green line is -4/3. The correct option is C.
What is the slope of the line?
The slope of a line is a measure of how steep the line is and the direction it is going. It is defined as the ratio of the "rise" (the change in the y-coordinate) to the "run" (the change in the x-coordinate) between two points on the line.
The slope of a line is often represented by the letter "m" and can be calculated using the following formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are two points on the line.
It is given that the lines graphed below are parallel.
We know that if two line having slopes m₁ and m₂ are parallel, then
m1 = m2
In other words, the slopes of two parallel lines are the same.
The slope of the red line is -4/3 and it is parallel to the green line. It means the slope of red and green line are the same.
The slope of green line = Slope of the red line
The slope of the green line = -4/3
Hence, The slope of the green line is -4/3.
The correct option is C.
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If the scale factor of figure A
too figure B is 7:2 find the perimeter of figure A
The perimeter of a particular form is equal to the sum of its sides, hence the scale factor indicates that the perimeter of Figure A is 122.50 units.
What is perimeter?
A boundary is a closed path that encompasses, encircles, or delimits a two-dimensional shape or a one-dimensional length. A circle's or an ellipse's perimeter is its outermost portion. Numerous applications in real life involve the perimeter calculation. The radius of a shape's edge is known as the perimeter. By summing the lengths of the sides of various forms, discover how to calculate the perimeter. By multiplying the lengths of the sides, one can always get a shape's perimeter. The area surrounding an object is called its perimeter. An enclosed garden is one example at your home. The distance around anything is called its perimeter. A 200-foot fence will be needed for a yard that is 50 feet by 50 feet.
Ratio factor of A to B = 7:2
Proportion between the perimeters = 7/2
We now understand that a shape's perimeter equals the sum of all its sides. Consequently, using the values from the provided figure, enter the following expression:
A1 / 9+5+9+12 = 7/2
A1 = (7*35)/2
A1 = 122.50 units.
The perimeter of a particular form is equal to the sum of its sides, hence the scale factor indicates that the perimeter of Figure A is 122.50 units.
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which is an appropriate estimate for the following 3,844 divide by 75
The circumference of the circle is 38 inches.
a) Find the radius of the circle
b) Find the area of the circle
Is root 1 and 1 are equal?
No, the square root of 1 is 1, but 1 is not equal to the square root of 1. The square root of a number, represented by the symbol √, is a value that, when multiplied by itself, gives the original number.
For example, the square root of 4 is 2, because 2 x 2 = 4. In the case of 1, the square root is also 1, because 1 x 1 = 1.
In mathematics, the square root of a number is always non-negative, real number. It is positive for positive numbers and zero for zero. So, in short, the square root of 1 is 1, but 1 is not equal to the square root of 1. It is just a value that gives 1 when multiplied with itself.
It's important to note that the square root is not a number but an operator, an action which you perform on a number. The square root of a number is a value that, when multiplied by itself, gives the original number.
In this case, the square root of 1 is 1, which means that 1 multiplied by 1 is 1.
Also, it's worth mentioning that there are two types of square roots: principal square root and non-principal square roots. Principal square root is the positive value of the square root and non-principal square roots are the negative value of the square root.
In this case, the square root of 1 is 1, which is the positive value of the square root.
In conclusion, the square root of 1 is 1, and it is the positive value of the square root, but 1 is not equal to the square root of 1, as the square root is a value that gives the original number when multiplied by itself.
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Higher Order Thinking Hugo needs a total
of 22.23 square feet of terry cloth to make a
beach towel and a beach bag. The beach bag
requires 5.13 square feet of cloth. What is the
length of the beach towel? Explain.
The length of the beach towel is 4.135 feet.
What is Area?Area of a two dimensional shape is the total region which is bounded by the object's shape
Given that
Hugo needs a total of 22.23 square feet of terry cloth to make a beach towel and a beach bag.
Total area of the terry cloth = 22.23 square feet
The beach bag requires 5.13 square feet of cloth.
Area of cloth for beach bag = 5.13 square feet
Area of the cloth for beach towel = 22.23 - 5.13 = 17.1
Area of the beach towel is 17.1 square feet.
Assuming the towel is square shape,
(Length of the towel)² = 17.1
Length of the towel = √(17.1) = 4.135
Hence the length of the beach towel is 4.135 feet.
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What is the area of the triangle GHJ?
The area of the triangle GHJ is 48 square units.
The area of a triangle can be found using the formula:
Area = (1/2) * base * height.
In this question, we are given that triangle GHJ has a base of 12 units and a height of 8 units. To find the area of the triangle, we simply substitute these values into the formula and solve.
Area = (1/2) * 12 * 8 = 48 square units
To be more specific, first, we multiply the base and height together to get 12*8 = 96. Then we divide 96 by 2 to get 48. Therefore, the area of triangle GHJ is 48 square units.
It's important to note that the base and height of a triangle must be perpendicular to each other in order for the formula to be accurate. Also, the unit of measurement used for the base and height must be consistent, otherwise, the area calculated will not be correct.
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The complete question is:
A triangle GHJ has a base of 12 units and a height of 8 units. What is the area of the triangle GHJ?
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Kara is building a sandbox shaped like a kite for her nephew. The top two sides of the sandbox are 29 inches long. The bottom two sides are 25 inches long. The diagonal DB has a length of 49 inches. What is the length of the diagonal AC
The length of diagonal AC is 54.8 inches when two sides are 29inches and 25 inches long.
How is this determined?To find the length of diagonal AC in the kite-shaped sandbox, we can use the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the length of the hypotenuse (the longest side) is equal to the square root of the sum of the squares of the other two sides.
How to use the Pythagorean Theorem?Identify the right triangle. In this case, we can see that the right triangle is formed by diagonal DB and the two sides of length 25 inches, which we'll call side a.
Substitute the known values into the formula, where AC is the hypotenuse and a and DB are the other two sides of the triangle: AC^2 = a^2 + DB^2
Solve for AC by taking the square root of both sides: AC = √(a^2 + DB^2)
Substitute the given values for a and DB: AC = √(25^2 + 49^2) = √(625 + 2401) = √3016 = 54.8
It's important to note that the kite shape can be considered as two congruent right triangles. The sides 25 and 29 are the legs, and the diagonal DB (49 inches) is the hypotenuse of one of the triangles. Since the triangles are congruent, their hypotenuse will have the same length. Therefore, the diagonal AC, which is the hypotenuse of the other triangle, also has a length of 49 inches.
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Element X decays radioactively with a half life of 6 minutes. If there are 220 grams of
Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 26 grams?
Announcements for 84 upcoming engineering conferences were randomly picked from a stack of IEEE Spectrum magazines. The mean length of the conferences was 3.94 days, with a standard deviation of 1.28 days. Assume the underlying population is normal.
a. In words, define the random variables X and .
b. Which distribution should you use for this problem? Explain your choice.
c. Construct a 95% confidence interval for the population mean length of engineering conferences.
i. State the confidence interval.
ii. Sketch the graph.
iii. Calculate the error bound.
The random variable X represents the length of each engineering conference, and is measured in days.
The normal distribution should be used for this problem, as the underlying population is normal. The normal distribution is a continuous probability distribution that is characterized by a symmetric bell-shaped curve. It is a useful model for events that follow a normal or Gaussian pattern, such as the lengths of engineering conferences.
c. i. The 95% confidence interval for the population mean length of engineering conferences is (3.38, 4.50) days.
ii. The graph of the 95% confidence interval for the population mean length of engineering conferences is shown below.
iii. The error bound for the 95% confidence interval is 0.77 days. This can be calculated using the formula: Error Bound = 1.96*(standard deviation/√sample size). In this case, the error bound is calculated as: 1.96 * (1.28/√84) = 0.77.
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What is the formula in finding the distance between a point and a line?
To find the equation of the line, we can use the two points on the line.
What is equation?An equation is a mathematical statement that expresses the relationship between two or more variables, or a condition that two or more expressions must satisfy. An equation typically involves an equal sign, with an expression on either side of the sign. The expressions on each side of the equation can contain constants, variables, functions, operations, and other mathematical symbols. Equations are used to solve problems in mathematics, physics, engineering, chemistry, economics, and other scientific and practical fields.
The distance between a point (P) and a line (L) can be found using the following formula:
d = |(ax + by + c)|/√(a^2 + b^2)
where (a, b, c) are the coefficients of the line equation, and (x, y) are the coordinates of the point.
To find the equation of the line, we can use the two points on the line. Let's say these two points are (x1, y1) and (x2, y2). We can calculate the equation of the line using the following formula:
a = (y2 - y1)/(x2 - x1)
b = -1
c = y1 - ax1
Using these equations, we can easily calculate the distance between the point and the line.
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A curve has the equation, [tex]y=2ln(k-3x)+x^2-3x[/tex] where [tex]k[/tex] is a positive constant. It is also given that the curve crosses the x-axis at exactly one point. Find the value of [tex]k[/tex].
The value of k in the equation is 3x + e^(x^2-3x/2)
How to determine the value of kFrom the question, we have the following parameters that can be used in our computation:
y = 2ln(k - 3x) + x^2 - 3x
The x-axis is the set of points where y = 0. To find where the curve crosses the x-axis, we need to solve the equation y = 0 for x.
y = 2ln(k - 3x) + x^2 - 3x
so
0 = 2ln(k - 3x) + x^2 - 3x
We can re-arrange this equation to solve for x:
x^2 - 3x + 2ln(k - 3x) = 0
Now we can use the quadratic formula to find x.
x = (3 +/- sqrt(3^2 - 4(2ln(k - 3x))))/2
Now we know that there is only one root, we can pick the positive value and solve for k using k-3x = e^(x^2-3x/2)
k = 3x + e^(x^2-3x/2)
This is the final solution for k.
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Grouping symbols, Exponents, Multiply & Divide, Add & Subtract (GEMDAS)
The grouping symbols commonly used in mathematics are the following:
( ), [ ], { },Parentheses: ( )Brackets: [ ]Braces: { }Bar:Now, According to the question:
What are the 4 types of grouping symbols?
The grouping symbols commonly used in mathematics are the following:
( ), [ ], { },Parentheses: ( )Brackets: [ ]Braces: { }Bar:The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
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What are the 3 types of 3D modeling?
Polygonal Modeling: a type of 3D modeling that uses points, lines, and polygons to create a 3D object. NURBS Modeling: a type of 3D modeling that uses mathematical equations to create smooth curves and surfaces. Subdivision Modeling: a type of 3D modeling that uses subdivision surfaces to create smooth, organic shapes.
1. Polygonal Modeling: This type of 3D modeling uses points, lines, and polygons to create a 3D object. The polygons are connected together to create the 3D shape, and then textures and colors can be applied to the shape. This type of modeling is often used to create characters and environments for video games and animations.
2. NURBS Modeling: NURBS stands for Non-Uniform Rational B-Splines. This type of 3D modeling uses mathematical equations to create smooth curves and surfaces. NURBS modeling is often used for creating organic shapes such as cars and furniture.
3. Subdivision Modeling: Subdivision modeling is a type of 3D modeling that uses subdivision surfaces to create smooth, organic shapes. This type of modeling is often used for creating characters and creatures for video games and animations.
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A rectangle has a length of 5x+2 and a width of 3x - 1. If x=10, what is the perimeter and area?
Answer:
Perimeter = 162 units
Area = 1508 square units
Step-by-step explanation:
Given expressions:
Length = 5x + 2Width = 3x - 1If x = 10, then:
Length = 5(10) + 2 = 52Width = 3(10) - 1 = 29The formula for the perimeter of a rectangle is:
P = 2(w + l)where w is the width and l is the length.
Therefore, the perimeter of the rectangle is:
[tex]\implies \sf P = 2(29 + 52)[/tex]
[tex]\implies \sf P = 2(81)[/tex]
[tex]\implies \sf P = 162\;units[/tex]
The formula for the area of a rectangle is:
A = w · lwhere w is the width and l is the length.
Therefore, the area of the rectangle is:
[tex]\implies \sf A=29 \cdot 52[/tex]
[tex]\implies \sf A=1508\;square\;units[/tex]
Answer:
Area of rectangle = 1508
Perimeter of rectangle = 162
Step-by-step explanation:
Now we have to,
→ find the perimeter and area.
→ where x = 10.
Perimeter of rectangle is,
→ P = 2 × (L + W)
→ P = 2 × (5(10) + 2 + 3(10) - 1)
→ P = 2 × (50 + 2 + 30 - 1)
→ P = 2 × 81
→ [ P = 162 ]
Area of rectangle will be,
→ A = L × W
→ A = (5(10) + 2) × (3(10) - 1)
→ A = (50 + 2) × (30 - 1)
→ A = 52 × 29
→ [ A = 1508 ]
Hence, these are the values.
WILL GIVE BRAINLEST, DUE TODAY, A system of linear equations is shown in the graph. How many solutions does the system have?
a coordinate plane with one line that passes through the points 0 comma 4 and 3 comma 5 and another line that passes through the points 0 comma negative 1 and 6 comma 1
No solution
One solution at (0, −1)
One solution at (3, 0)
Infinitely many solutions
The number of solutions which the system of equations has is: A. no solution.
How to determine the number of solutions?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y represents the data points.At data point (0, 4), a linear equation of the first line can be calculated in slope-intercept form as follows:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - 4 = (5 - 4)/(3 - 0)(x - 0)
y = x/3 + 4
For the second line, we have:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - 1 = (1 + 1)/(6 - 0)(x - 0)
y = x/3 + 1
In conclusion, the system of linear equations has no solution because it represents parallel lines.
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Find the value of each variable in the following parallelogram
So on solving the provided question we can say that we know that all angles of Quadrilateral is 90, 4x - 2 = 90; x = 22
what is quadrilateral?A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus (meaning "side"). Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties. Additionally, there are several subclasses of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombuses, and squares. Four straight sides make up a rectangle, which is a two-dimensional form. There are several different types of quadrilaterals, including parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.
we know that all angles of Quadrilateral is 90
4x - 2 = 90
4x = 88
x = 22
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Jaycee created a figure by drawing a right
triangle next to a rectangle.
10 cm
-20 cm-
-15 cm-
What is the area of the figure in square
centimeters?
The area of the figure, which has a triangle and a rectangle with the same height, is 275 cm2.
what is rectangle ?You may also refer to it as a quadrilateral that is equiangular, meaning that all of its angles are equal. The parallelogram could alternatively have a straight angle. Rectangles with four sides that are all the same size are called squares. Four 90-degree vertices and equal parallel sides make up a quadrilateral with the rectangular shape. A rectangle is also referred to as a parallelogram since its opposing sides are parallel and equal.
given
Area of Figure = Area of Rectangle + Area of Triangle
= l*b+ 1/2*b*h
= 10 * 20 * 1/2 * 15 * 10
= 275cm2
The area of the figure, which has a triangle and a rectangle with the same height, is 275 cm2.
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75% of the ticket old at an amuement park were dicount ticket. If the park old 68 ticket in all, how many dicount ticket did it ell?
Total discount ticket at the amusement park were 51. If 75% of the sold ticket were discounted tickets and if the amusement park sold 68 tickets in all.
Total number of ticket sold = 68
75% of them were discount tickets, = 75 × 68/100
= 51 tickets
So 51 tickets were discount tickets and (68-51) = 17 tickets were without discount tickets. We can also calculate the without discount ticket by a different method. Remaining 25% tickets were the without discount tickets. So,
= 25 × 68/100
= 17 Tickets
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please help with this question in the screenshot !!!
The Volume of shape Q is 25,600 cm³.
What is Scale factor?A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.
Given:
If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared.
Let z be the scale factor
x be the surface area of shape Q
and, y be the surface area of shape P
So, z²=x/y
we have,
x = 2880 cm², y= 720 cm²
z² = 2880/720
z² = 4
z = 2
Now, If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
z³ = x/y
We have z= 2 and y = 3200 cm³
So, 2³ = x/3200
x = 8×3200
x = 25,600 cm³
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20 points, please help.
Answer:
Drew is incorrect
Step-by-step explanation:
Let the number be x such that if the product of the number and 4 is 1.08 then
x * 4 = 1.08
Divide both sides by 4
x = 1.08/4
= 0.27
Drew is incorrect because the result (1.08) has 2 decimal places and not one like he concluded. The number of digits before the decimal point for the numbers being multiplied must be 2.