9514 1404 393
Answer:
2310
Step-by-step explanation:
Assuming "this particular sale" totals 33000 in its entirety, the commission is ...
20% × 33000 = 6600
The amount of that going to the savings account is ...
35% × 6600 = 2310
The amount invested is 2310.
Which of the following is an equation(a) 2x +3 + 5(b) 2x + 3< 5(c) 2x + 3 35(d) 2x + 3 = 5
Answer:
2x+3=5
Step-by-step explanation:
2x+3=5 us the only one with an equals to sign
an equation always have an equals to
The upfront cost of a Porsche is 64K. At the end of 12 Years, the car is worth only $4000, Write a linear equation to represent the value of the car in terms of the year.
The linear equation to represent the value of the car in terms of the year will be c = 64000 - 5000y
How to illustrate the equation?An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.
In this situation, the upfront cost of a Porsche is 64K and at the end of 12 Years, the car is worth only $4000.
The difference in amount will be:
= $64000 - $4000
= $60000
Number of years = 12
Amount in depreciation per year = $60000 / 12
= $5000 per year
The linear equation to represent the value of the car in terms of the year will be:
c = 64000 - 5000y
where c = value
y = number of years
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Mr Dunn drives 640 m from work at a speed of 4.8m/s mrs. dunn  drives 810 m from work at speed of 5.4m/s they both leave work at the same time how many minutes later is it before the second person gets home
It is a 7th grade question btw easy
The value of q, based on the equation given, can be found to be - 1 / 6
How to find q?To find q, you need to collect like terms on the correct side of the equation to be able to solve for q.
When given the equation,
1 / 2 = q + 2 / 3
You collect like terms to be:
q = 1 / 2 - 2 / 3
q = ( 3 - 4 ) / 6
q = - 1 / 6
In conclusion, the value of q is - 1 / 6.
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]What is the first step in solving the quadratic equation -5x2+8=133?
taking the square root of both sides of the equation
subtracting 8 from both sides of the equation
squaring both sides of the equation
adding 8 to both sides of the equation
The first step in solving the quadratic equation is subtracting 8 from both sides.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
5x² + 8 = 133
Subtract 8 into both sides.
5x² = 133 - 8
5x² = 125
Divide both sides by 5.
x² = 125/5
x² = 25
x = √25
x = 5
Thus,
The root of the equation is 5.
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I really need help on this!
The constraint to make the statement true is -A< -B: Option C
What is constraint?A Constraint is a situation when an individual is limited or restricted to carry out an activity. It can also be seen as strictness or inhibition in relation to a variable
In most organizations, project managers are faced with constraints when they want to carry out an activity. Most of these constraints are external and out of the project manager's control.
Based on that if A<B, then - A < -B and this makes the constraint true.
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HELP PLS WHATS THE VALUE
Applying the triangle sum theorem, the value of x in the triangle is: C. 36.
What is the Triangle Sum Theorem?The Triangle Sum Theorem states that the sum of the measures of the interior angles of a triangle is 180 degrees. This theorem applies to all triangles, regardless of their shape or size.
The theorem can be proven using the fact that the sum of the measures of the interior angles of any polygon with n sides is (n-2)x180. Since a triangle has three sides, the sum of its interior angles is 180 degrees.
Therefore:
2x + 2x + x = 180
Combine like terms
5x = 180
Divide both sides by 5
5x/5 = 180/5
x = 36
The value of x is: C. 36.
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Question 3 1Points Hector paid $2.70 for a package of cheddar cheese slices. There are 18 slices in the package. What is the unit price of the cheddar cheese?
the unit price of the cheddar cheese is $0.15.
What is division?Division is the process of splitting a number or an amount into equal parts.
here, we have,
Hector paid $2.70 for a package of cheddar cheese slices.
There are 18 slices in the package.
i.e. the unit price of the cheddar cheese = $2.70/18
=$0.15
hence, the unit price of the cheddar cheese is $0.15.
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Evaluate the expression 9x for x = 2
The value of expression 9x for x= 2 is 18.
what are expressions?
Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.
e.g. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.
Now,
Given expression = 9x
For x=2
Value of expression=9*2
=18
Hence,
After evaluating 9x for x=2 value will be 18.
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How many rules are there in algebra?
Answer: There is only 5 rules in algebra.
Step-by-step explanation:
How to find gradient
The difference between the y coordinates and the difference between the x coordinates then divide them
What is a gradient in math?Gradient is a differential operator used in mathematics to transform a three-dimensional vector-valued function into a vector whose three elements are the partial derivatives of the function with respect to its three variables. The gradient sign is ∇
As a result, f = ifx + jfy + kfz, where fx, fy, and fz are the first partial derivatives of f and I j, and k are the unit vectors of the vector space, is the gradient of a function, also known as grad f or f. f is the direction of the heat-flow vector in a temperature field, where f is a temperature field in physics that indicates the temperature at every point in a space.
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Given MO=NP PROVE MN=OP
1. MO = NP (Given)
2. MO = MN + NO (Segment Add)
NP = NO + OP (Segment Add)
3. MN + NO = NO + OP (Transitive / Substitution)
4. MN = OP (Subtraction POE)
I am trying to find the second, fourth, and eleventh terms of the sequence for A(n)=-9+(n-1)(3)
By evaluating the formula for the sequence, we will get the terms:
A(2) = -6A(4) = 0A(11) = 21How to find the terms in the sequence?Here we want to find the second, fourth, and eleventh terms in the sequence:
A(n) = -9 + (n - 1)*3
n defines the "number" of the term in the sequence.
So to get the second term, we need to use n = 2, we will get.
A(2) = -9 + (2 - 1)*3
A(2) = -9 + 3 = -6
The fourth term is what we get if we evaluate in n = 4, then:
A(4) = -9 + (4 - 1)*3
A(4) = -9 + 9 = 0
And the eleventh term is what we get when we use n = 11, we will get:
A(11) = -9 + (11 - 1)*3
A(11) = -9 + 30 = 21
These are the 3 terms of the sequence that we wanted to find.
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Casey was at the surface of a swimming pool and recorded the following two measurements, in feet, on a number line:
-8, which represents the depth of water in the swimming of pool
+7, which represents the height of the slide at the pool
Part A: What does 0 represent in this situation? (3 points)
Part B: Describe the height the slide in relation to 0 in the situation. (3 points)
Part C: Casey held pole the swimming pool. The bottom of the pole was at a depth of 2 feet. How should Casey mark the level of the bottom of the pole
number line? Explain how you determined this. (4 points)
The pole was at a depth of 2 feet = - 2
What is height and distance ?
height can be defined as the the measurement in vertical direction where as the distance can be defined as the measurement in horizontal direction.
Given :
Casey was at the surface of a swimming pool and recorded the following two measurements,
in feet, on a number line: −8, which represents the depth of water in the swimming pool +7,
which represents the height of the slide at the pool
To Find, What does 0 represent in this situation?
Describe the height of the slide in relation to 0 in the situation
Casey held a pole in the swimming pool. The bottom of the pole was at a depth of 2 feet. How should Casey mark the level of the bottom of the pole on the number line
0 represent in this situation - Top surface of Swimming pool - Surface matching with ground
height of the slide in relation to 0 in the situation = 7 feet
pole was at a depth of 2 feet = - 2
Hence, The pole was at a depth of 2 feet = - 2
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Rhind Rhind Papyrus Problem 27
A quantity ,and its ⅕ added together becomes 21. What is the quantity
which means : x + x ⅕ = 21
Answer:x=35/2 or 17.5
Step-by-step explanation:
x + .2x = 21
1.2x = 21
1.2x/1.2 = 21/1.2
x = 17.5
answer a i just did it
Step-by-step explanation:
Classifying Right triangles
Therefore , the solution of the given problem of triangle comes out to be √3 ,√4,√5 advance to acute triangle category as they have small angle less than 90 degree.
What is the triangle?Given that it has three sides and three vertices, a triangle qualifies as a polygon. It is a fundamental geometric figure. Triangle ABC is the term used to refer to a triangle containing the vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are discovered. Triangles are polygons because they have three sides and three corners. The points where the three sides of the triangle converge are referred to as the triangle's corners. Three triangle angles are multiplied to yield 180 degrees.
Here:
Given :
=> 4 ,4√3,8
=> 0.5 , 1.3 , 1.2
=> 1.8 ,√6 ,0.8
=> √3 ,√4,√5
These can be advance to acute triangle category as they have small angle less than 90 degree.
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Every month, the library holds a book sale. All books are $1.50. Choose the statement below that is true. A The price of a book depends on what kind of books you buy. B The kind of book you buy depends on the price. C The total cost of your books depends on how many books you buy. D The number of books you buy depends on the total cost.
The only true statement among the options given is C, The total cost of your books depends on how many books you buy.
What is the direct proportion?
Direct proportion, also known as direct variation, is a relationship between two variables in which the ratio of the variables is always constant. This means that if one variable increases, the other variable will also increase, and if one variable decreases, the other variable will also decrease.
According to the information given, all books are $1.50 each, so the price does not depend on what kind of book you buy. The statement A is false.
Also, the kind of book you buy does not depend on the price, so statement B is false.
The number of books you buy does depend on the total cost, so statement C is true.
Therefore, the only true statement among the options given is C, The total cost of your books depends on how many books you buy.
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Jean’s highest bowling score last season was 237 out of 300. What percent is Jean’s high score?
Answer:
79%
Step-by-step explanation:
imma human calculator and no one can stop me
Is it possible to draw a triangle the length of whose sides are 2.5 cm 4.2 cm 8 cm?
Yes, it is possible to draw a triangle the length of whose sides are 2.5 cm 4.2 cm 8 cm.
The possibility to draw a triangle from mentioned three sides can be checked through SSS or side-side-side rule of triangle. It states that sum of any two sides should be greater than third side of the triangle. Assuming 2.5 cm to be side a, 4.2 and 8 cm to be side b and c respectively.
Side a + side b > side c
2.5 + 4.2 > 8
Add the values
6.7 not greater than 8
Side b + side c > side a
4.2 + 8 > 2
Add the values
12.2 > 2.5
side c + side a > side b
8 + 2.5 > 4.2
Add the values
10.5 > 4.2
As we see, that two cases show sum to be greater than third side. Thus, triangle can be drawn.
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What is dilated by a factor of 3?
Factor of scale (Dilation) Factor of scale (Dilation) How much larger or smaller the image will be depends on the scale factor in the dilation of a mathematical entity (compared to the original object).
What does it mean to be "dilated by a factor"?Factor of scale (Dilation) Factor of scale (Dilation) How much larger or smaller the image will be depends on the scale factor in the dilation of a mathematical entity (compared to the original object). An expansion takes place when the scale factor's absolute value is higher than one.The most important thing to remember is that the dilation value influences the distance between two places.A is initially one unit below P and two units to P's left, just like in the first example (dilation by a factor of three). Since 1 + 3 = 3, the dilated point, A', should be three units below P. Since 2*3 = 6, A' ought to be six units to the left of P.To learn more about dilation refer to:
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I don’t know how to do this (geometry)
Answer: The value of x = 7
Step-by-step explanation:
In the figure consider the parallelogram is a ABCD parallelogram
A parallelogram is a two-dimensional shape.
It has four sides, in which two pairs of sides are parallel.
Also, the parallel sides are equal in length.
If the length of the parallel sides is not equal in measurement, then the shape is not a parallelogram.
Similarly, the opposite interior angles of a parallelogram should always be equal. Otherwise, it is not a parallelogram.
AB = 3x+5
CD = 5x-9
where AB || CD and AD || BC
Also, AB = CD and AD = BC
then 3x+5 = 5x-9
when simplify the equation,
5x = 3x+5+9
5x = 3x+14
then
5x-3x = 14
2x = 14
x = 14÷2
x = 7
then the value of x = 7
when substituting value of x in equations
AB = 3x+5 = 21+5 = 26
CD = 5x-9 = 35-9 = 26
AB = CD
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please helppppp need this by tonighttt
Pleaseee
Answer:
A. The domain should be all reals.
B. The range is y≤1 if the function is |x-2|+1.
C. It's a function.
If you get this wrong then my bad
Daniel and Elizabeth had to choose between making a 600-mile round trip by car or plane. Round-trip airfare was $260 for each of them and would take 2 hours. Round-trip cab fare to the airport would add $15. Driving their car would take 2 days each way and would add the cost of gas, food, and lodging. Elizabeth estimated that the whole trip would need $60 for gas, their combined food bill of $25 per day (4 days) , and that a room to share would be $48 for each night of the 4 total nights they would stay in a motel. Find the average cost per passenger-mile of driving.
The average cost per passenger - mile of driving is $0.503 per mile.
What is Average Cost?Average cost is calculated by dividing the total cost by the total output quantity.
There are two options for Daniel and Elizabeth, either by driving car or by plane.
We have to calculate the average cost per passenger - mile of driving in car.
Cost of gas = $60
Food bill for a day for two of them = $25
Food bill for a day for one = 25 / 2 = $12.5
Food bill for one passenger for 4 days = $12.5 × 4 = $50
Cost of room for 1 night = $48
Cost of room for 4 nights = $192
Total cost for 1 passenger = $60 + $50 + $192 = $302
Average cost per passenger - mile of driving = 302 / 600 = $0.503 per mile.
Hence the average cost per mile per passenger is $0.503 per mile.
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The equation for the volume of a cylinder is
V = r²h. The positive value of r, in terms of h
π
and V, is
V
Υπη
1) r=
2)
r=√√√Vah
3) r=2Vлh
V
4) r= 2π
R's positive value is [tex]\sqrt{\frac{v}{\pi h} }[/tex] V =r²h in terms of h is the formula used to calculate the volume of a cylinder.
what is volume ?The object's capacity is another name for it. The basic formula for volume is length, width, and height, as opposed to the basic formula for the area of a rectangular shape, which is length, breadth, and height. No matter how you refer to the various dimensions, the calculation remains the same. For instance, you can use "depth" instead of "height." The capacity of an object is expressed in terms of volume. A cup's capacity is said to be 100 ml, for instance, if it can hold 100 ml of water in its brim. The quantity of space a three-dimensional item takes up can also be referred to as volume.
given
Cylinder(volume )'s is equal to = [tex]\pi r^{2}h[/tex]
where r = radius, h = height, and v = volume of the cylinder
⇒ [tex]r^{2} = \frac{v}{\pi h}[/tex]
⇒ ±r = [tex]\sqrt{\frac{v}{\pi h} }[/tex]
The problem states that only the positive value of r is necessary.
So, r = [tex]\sqrt{\frac{v}{\pi h} }[/tex]
R's positive value is [tex]\sqrt{\frac{v}{\pi h} }[/tex] V =r²h in terms of h is the formula used to calculate the volume of a cylinder.
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How do I dilate a shape on a grid using a scale factor of 1 2?
Every coordinate point of the original triangle has its scale factor doubled by one-half if the scale factor is one. multiply by half after dilation with a scale factor of two.
How do you dilate by scale factor?We locate the dilation's center point and measure the distances between it and other points on the preimage and the image in order to get the scale factor for the dilation. As correctly stated by Math Bits Notebook, the scale factor is determined by the ratio of these distances.Keep in mind that each coordinate must be multiplied by the scale factor in order to enlarge an object in the coordinate plane. The mapping will be (x, y) (1.5 x, 1.5 y) with this dilation. The original is represented by the blue quadrilateral in the graph above, while the dilatation is shown by the red picture. Connect the image's vertices to the centre of dilation by drawing straight lines.To learn more about multiply refer to:
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Every coordinate point of the original triangle has its scale factor doubled by one-half if the scale factor is one. multiply by half after dilation with a scale factor of two.
How do you dilate by scale factor?We locate the dilation's center point and measure the distances between it and other points on the preimage and the image in order to get the scale factor for the dilation. As correctly stated by Math Bits Notebook, the scale factor is determined by the ratio of these distances.
Keep in mind that each coordinate must be multiplied by the scale factor in order to enlarge an object in the coordinate plane. The mapping will be (x, y) (1.5 x, 1.5 y) with this dilation. The original is represented by the blue quadrilateral in the graph above, while the dilatation is shown by the red picture. Connect the image's vertices to the center of dilation by drawing straight lines.
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What is the importance of roots of polynomial equation?
So on solving the provided question we can say that the importance of roots of polynomial equation because as the roots are the core of it. it helps in forming of that polynomial
what are polynomials?A mathematical expression made up of coefficients and uncertainty that only makes use of additions, subtractions, multiplications, and positive integer powers of variables is known as a polynomial. The formula x2 4x + 7 denotes a single indeterminate x polynomial. An expression in mathematics known as a polynomial is made up of variables (also known as indeterminates) and coefficients that may be added, subtracted, multiplied, and raised to negative integer powers of non-variables. An algebraic statement with variables and coefficients is called a polynomial. An expression can only contain the operations addition, subtraction, multiplication, and non-negative integer exponents. Polynomials are the name for these expressions.
here,
the importance of roots of polynomial equation because as the roots are the core of it. it helps in forming of that polynomial
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Write the letter of each answer
For which data set below would the median be the best representation of the typical value or behavior of the data set.
Group of answer choices
Religious affiliation
Ages of college students
Weights
Sale prices for homes
The median would be the best representation of the typical value or behavior of the data set for "Ages of college students".
What is median?The median is the value in the center of a data collection, which means that 50% of the data points have a value less than or equal to the median, and 50% of the data points have a value greater than or equal to the median. The statistical median is the number in the midpoint of a series of numbers. To get the median, sort the numbers by size; the number in the center is the median. The term median is derived from the Latin word medius, which also meaning middle. A number in the center of a list is known as the median in mathematics.
Here,
The median would be the best depiction of the data set's usual value or behavior for "Ages of college students".
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In January, Jamie pays $2.00 for a tube of toothpaste. When she buys the same brand and size of toothpaste in February, she pays $2.25. What is the percent of increase in the price of the toothpaste from January to February? Round to the nearest tenth of a percent.
Answer:
12.5%
Step-by-step explanation:
0.125 * 2 = .25
2+.25 =2.25
I don’t understand someone please help 20 points!
Answer:
Step-by-step explanation:
y = kx
proportionality constant = k = y/x
A. k = y/x = 7/2 = 3.5 (you can plug in any x,y pair from the table and will get the same answer, 3.5)
B. k = y/x = 12/3 = 4 (you can choose any point on the line)
C. k = y/x = 2.75 (same as the slope of the line)
D. k = y/x = earnings/games = 65/5 = 13
E. k = y/x = 12/3 = 4 (you can plug in any x,y pair from the table and will get the same answer, 4)