Answer: -3√3
Step-by-step explanation: Factor out the square roots from each term
2√54 -> 6√6
√27 -> 3√3
3√24 -> 6√6
The equation becomes 6√6 - 3√3 - 6√6
By combining like terms we can eliminate 6√6
This leaves us with -3√3 as the simplified solution
Answer:
-3√3
Step-by-step explanation:
do the hcf method to get all the values outside
hcf of 54= 2, 3, 3, 3
hcf of 27 = 3, 3, 3
hcf of 24 = 2,2,3,3
2✓2×3×3×3 - √3,3,3 - 3√2,2,3,3
take out the common factor and multiply it with the value we have outside leave it if it doesnt have a number
2×3√2×3 - 3✓3 -3×2×3
6√6 - 3√3 - 3×2×3
6×3 - 3√3 - 3×2×3
18-18 - 3✓3
-3√3
b) Express of 8000 cm³ of milk as a percentage of 16 litres of milk
Answer:
50%
Step-by-step explanation:
16 litres = (16 x 1000) cm^3
= 16000 cm^3
Hence,
Percentage = 8000/16000 x 100%
= 1/2 x 100%
= 50%
an ore is 1 1/2% pure silver. how much ore is needed to obtain 30 kilograms of silver?
Proportionately, the quantity of ore required to obtain 30 kilograms of silver is 2,000 kilograms.
What is proportion?Proportion refers to two or more ratios equated to each other.
We can use decimals, fractions, or percentages to show the proportional value of one quantity or variable to another.
The quantity of ore that can produce 30 kilograms of silver, based on the given proportion, can be obtained by equating the ratio to the required silver quantity.
The percentage of ore that is pure silver = 1¹/₂% = (0.015)
The quantity of silver needed = 30 kilograms
The quantity of ore that can produce 30 kilograms of silver = 2,000 kilograms (30/0.015)
1¹/₂% = 30 kg
100% = 2,000 kg (30/1¹/₂%)
Thus, given the ratio or proportion of pure silver to ore, the quantity of ore needed to obtain 30 kilograms of silver is 2,000 kilograms.
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A shipping container will be used to transport several 150-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 27500 kilograms. Other shipments weighing 8700 kilograms have already been loaded into the container. Use the drop-down menu below to write an inequality representing cc, the total number of 150-kilogram crates that can be loaded into the shipping container.
Answer:
Below
Step-by-step explanation:
(27500 - 8700) >= 150 x where x is the number of 150 kg containers
Easy Cooking is a cooking supply company. Last year, the company sold 32,010 ovens. This year, they sold 30% fewer ovens than that. How many ovens did they sell this year?
Answer:
9,603 ovens
Step-by-step explanation:
Given:
Last year ---> 32,010 ovens
This year ---> 30% of last year
Question:
How many ovens did they sell this year?
Work:
To find out how many ovens they sold this year, all of you have to do is just multiply 30% by 32,010, the amount of ovens they sold last year
32,010 * 0.3 = 9,603
Solution:
Easy Cooking sold 9,603 ovens this year.
Hope this helped! :D
Help desperatlu6(5x-3)
[tex]6(5x-3)[/tex]
Distribute:
[tex](6)(5x)+(6)(-3)[/tex]
[tex]=\fbox{30x - 18}[/tex]
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{6(5x - 3)}[/tex]
[tex]\text{DISTRIBUTE 6 WITHIN the PARENTHESES}[/tex]
[tex]\mathsf{= 6(5x) + 6(-3)}[/tex]
[tex]\mathsf{= 30x - 18}[/tex]
[tex]\huge\text{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{\mathsf{30x - 18}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Benjamin and Felix are 35 miles apart. At 3:00pm they start jogging towards each other. Benjamin jogs at a pace of 16 minutes per mile. Felix jogs at a pace of 10 minutes per mile. how many miles will Benjamin jog in 45 minutes
Using division operation, since Benjamin jogs at a pace of 16 minutes per mile, in 45 minutes he will jog 2.8 miles.
What is the division operation?The division operation is one of the basic mathematical operations, including addition, subtraction, and multiplication.
The division operation involves dividing the dividend (the numerator) by the divisor (the denominator) to obtain the quotient (the result).
The distance between Benjamin and Felix = 35 miles
Benjamin's jogging pace or speed = 16 minutes per mile
Felix's jogging pace or speed = 10 minutes per mile
The number of miles that Benjamin can jog in 45 minutes = Time/Speed
= 2.8125 miles (45/16)
Thus, Benjamin will jog 2.8 miles in 45 minutes.
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A rectangular tennis court has a length of 24 m and a width of 11m what is the length of the diagonal court explain how you worked out your answer
The length of the diagonal of the rectangular tennis court is given as follows:
26.4 meters.
How to obtain the length of the diagonal?The tennis court is rectangular, meaning that the diagonal is the hypotenuse of a right triangle, in which the sides are the length and the width.
Applying the Pythagorean Theorem, the diagonal length can be obtained as follows:
d² = 24² + 11²
d² = 697
[tex]d = \sqrt{697}[/tex]
d = 26.4 m.
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Ellie brought 2 packs of hot dogs , 3 lbs of hamburger, and 2 lbs. of potato salad. How much did she spend?
Ellie spend of $37.8 for 2 packs of hot dogs , 3 lbs of hamburger, and 2 lbs. of potato salad
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The amount is not given for each hot dog, hamburger and potatos.
But Ellie brought 2 packs of hot dogs ,
3 lbs of hamburger, and
2 lbs. of potato salad
Let us consider each hot dog is $6
Hamburger is $5.6 and potatoes is $4.5
Total amount is 2(6)+3(5.6)+2(4.5)
12+16.8+9
$37.8
Hence, Ellie spend of $37.8 for 2 packs of hot dogs , 3 lbs of hamburger, and 2 lbs. of potato salad
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Which of the following has kinetic energy?
O A. Food
O.B. Motion
OC. Gravity
OD. Light
Answer:
light
Step-by-step explanation:
it has kinetic energy
Answer:
Step-by-step explanation: Kinetic energy is made because of movement. So Motion would be the correct answer
PLEASE HELP
Find the value of x
-10
11
-6
8
Answer:
8
Step-by-step explanation:
Since it's an equilateral triangle, as you can tell from the red lines, m∠2 = 60. You can substitute to get:
⇒ 60 = 6x + 12
Subtract 12 from both sides
⇒ 48 = 6x
Divide by 6
⇒ x = 8
Therefore, the answer is 8.
2. What does William need to do to win his master's tournament? *
Your answer
This is for a knights tale brit langaues
In order to win his master's tournament, William needs to make the most of his strengths and use the strategies that best suit his playing style.
What is mathematics?Mathematics is the study of numbers, shapes, and patterns. It is a universal language that helps us to understand and describe the world around us. Math is used to solve problems and to make predictions. It is used to analyze data and to make decisions. Math is a powerful tool that allows us to communicate ideas and to make sense of the world. Math helps us to understand the physical laws that govern the universe and to make sense of our ever-changing world.
First and foremost, he needs to focus on improving his technical skills. He should practice using a variety of shots and playing on different surfaces. This will give him the confidence and control he needs to succeed.
William should also develop a strategy for each match. This should include analyzing his opponent’s playing style and strengths, understanding the court conditions, and setting a specific set of goals for each game. He should also practice mental conditioning to help him stay focused and be able to handle the pressure.
Finally, William should take care of his physical health. This includes getting enough sleep, eating healthy, and exercising regularly. He should also make sure he is properly hydrated and fueled during the tournament.
By taking the necessary steps and making the most of his strengths, William can put himself in a good position to win the tournament. With hard work and dedication, he can make his dream a reality.
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In order to win his master's tournament, William needs to make the most of his strengths and use the strategies that best suit his playing style.
What is mathematics?Mathematics is the study of numbers, shapes, and patterns. It is a universal language that helps us to understand and describe the world around us. Math is used to solve problems and to make predictions. It is used to analyze data and to make decisions. Math is a powerful tool that allows us to communicate ideas and to make sense of the world. Math helps us to understand the physical laws that govern the universe and to make sense of our ever-changing world.
First and foremost, he needs to focus on improving his technical skills. He should practice using a variety of shots and playing on different surfaces. This will give him the confidence and control he needs to succeed.
William should also develop a strategy for each match. This should include analyzing his opponent’s playing style and strengths, understanding the court conditions, and setting a specific set of goals for each game. He should also practice mental conditioning to help him stay focused and be able to handle the pressure.
Finally, William should take care of his physical health. This includes getting enough sleep, eating healthy, and exercising regularly. He should also make sure he is properly hydrated and fueled during the tournament.
By taking the necessary steps and making the most of his strengths, William can put himself in a good position to win the tournament. With hard work and dedication, he can make his dream a reality.
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There was a sample of 700 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 9.4% each year.
Let t be the number of years since the start of the study. Let y be the mass of the sample in milligrams.
Write an exponential function showing the relationship between y and t.
The exponential function can be written as y = 700e^-0.094t.
What is the exponential function?We know that the term function would have to do with a mathematical rule that we can use to be able to obtain specific values. Now we have to know that there was a sample of 700 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 9.4% each year.
We can use;
N = Noe^-rt
N = amount at time t
No = Amount at the beginning
r = decay rate
t = time taken
Thus we have; y = 700e^-0.094t
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Rick melted a cube and made a cone with it. The amount of melted liquid left after making the cone was 49 cm. . If 6/7 of the melted liquid was used in making the cone, find the side of the initial cube.
pls, quickly no much time is there...
The side of the initial cube is 42 cm.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Rick melted a cube and made a cone with it.
The amount of melted liquid left after making the cone was 49 cm
6/7 of the melted liquid was used in making the cone
We need to find the side of the initial cube.
Cube =a³
Le us the whole liquid be 1.
6/7 of the melted liquid was used in making the cone
1/6/7=7/6 is the left out liquid after making cone.
7/6x=49
x=42 cm
Hence, the side of the initial cube is 42 cm.
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Find the value of each variable for each circle. Show your work
For a circle you have 60 and 80, what is the value of each variable a and b
The values of the variables in the circles are
Circle 1: a = 34 degreesCircle 2: a = 58 degrees, b = 90 degrees and c = 61 degreesHow to determine the values of the variables in the circles?From the question, we have the following parameters that can be used in our computation:
Circles and missing angles (see attachment for the figures)
Circle 1
To determine the unknown variable (a), we make use of the following theorem
The angle subtended by an arc at the circumference is twice the angle subtended at the circumference
Mathematically, this means that
a = 2 * 17 degrees
Evaluate the product
a = 34 degrees
Circle 2
To determine the unknown variable (a), we make use of the following theorem
The angle at the circumference in a semicircle is 90 degrees.
Mathematically, this means that
b = 90 degrees
Also, we have
a + 122 degrees = 180 degrees
Evaluate
a = 58 degrees
Using the theorem in (a), we have
b + a/2 + c = 180
This gives
90 + 58/2 + c = 180
Evaluate the like terms
c = 61 degrees
Hence, the angle c is 61 degrees
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Write the word sentence as an equation. Then solve the equation
84 is 99 fewer than a number c.
A line has a slope of 3/8 and passes through the point (15.2,-7)
The equation of the line in point-slope form is???
ANSWERS↓↓
Considering the definition of a line, the correct answer is option A: the equation of the line in point-slope form is y + 7= 3/8(x- 15.2)
Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.The point-slope form of an equation of a line is written as y-y₁=m(x-x₁)
where:
m is the slope.(x₁, y₁) are the coordinates of the point.Equation of a line in this caseIn this case, you know:
A line has a slope of 3/8.The line passes through the point (15.2,-7).The point-slope form of the line is written as:
y- (-7)= 3/8(x- 15.2)
y + 7= 3/8(x- 15.2)
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how long would it take me to binge a show with 27 episodes if every episode is 23 minutes long?
Answer:
10 hrs 35 min
Step-by-step explanation:
ohh yeahh which show tell me in comment lol
btw it would take u total
621 minutes to complete the show
which meaning 10 hrs and 35 min
and if you touch the grass then it would take few hours more
Write an equation in slope-intercept form for the line perpendicular to y = -2x + 5 and containing the point (8,-3)
slope-intercept form of an equation for the line perpendicular to y = -2x + 5 is
y = 1/2x -7
What is perpendicular line?
The straight line that makes 90 degrees angle with a given line is called the perpendicular to the first line. The indicator of a line perpendicular to other line is the slope that is negative reciprocal to each other.
What is the equation of line perpendicular to the given line?
we know the slope intercept form of an equation of line is y = mx + b
m is the slope of line and b is the y intercept.
given, equation of a line, y = -2x+5
the slope m = -2 and y intercept, b = 5
we need to write an equation in slope-intercept form that perpendicular to the above line and containing the point (8, -3)
The required line of equation will have a slope equal to the negative reciprocal of the given slope.
hence, the slope will be m = 1/2
the equation of straight line will be y = 1/2x + b
as the line passes through the points (8, -3)
so, -3 = 1/2 × 8 + b
b = -7
y intercept of the new equation = -7
the new equation of line is y = 1/2x -7
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An odometer show that a car has traveled 40,000 miles by January 1, 2020. The car travels 16,000 miles each year. Write an equation that represents the number y of miles on the car’s odometer x years after 2020.
y = __
The equation will be [tex]y=40000+16000*x[/tex]
How do you resolve a two-variable equation?Solve one of the equations for a particular variable. After that, insert that into the other equation and find the variable there. To find the value for the other variable, enter that value into either equation.
Two variables are used in what kind of equation?Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.
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How do I solve this system of equations using the elimination method.(I don't just want the answer, I want an explanation on how to get the answer.)
y=3x+13
2x=y-9
Answer:
y=3x+13
2x=y-9
Step-by-step explanation:
i need to know :(
Answer:
Step-by-step explanation:
Substitute 1 in 2 and solve for x.
2x=y-9
2x=3x+13-9
2x = 3x+4
-x = 4
x = -4
Then use equation 1 to solve for x.
y = 3x+13
y = -12+13
y= 1
help me with this question please
Answer:
[tex] \sf \: d) \: 82[/tex]
Step-by-step explanation:
Given information,
→ d = 10
→ u = 7
→ e = 3.2
The expression is,
→ d(e + 5)
Let's evaluate the expression,
→ d(e + 5)
→ 10(3.2 + 5)
→ 10 × 8.2
→ 82
Hence, option (d) is correct.
Answer:
Option D) 82
Step-by-step explanation:
Given ,
d = 10
u = 7
e = 3.2
To Find : [tex]d(e+5)[/tex]
Applying the values in the equations we get
[tex]10(3.2+5)\\[/tex] Applying Distributive property
[tex]32+50 = 82[/tex]
Hence , Option D) is the answer
Patty made a scale drawing of a park using a scale of in.=45ft. The table below shows the side lengths in her drawing. Jamie uses Patty's drawing to make a different scale of 2 in.= 35ft. Which value is one of the side lengths o Jamie's drawing?
Answer: A scale is a ratio of the size of the representation (such as a drawing) to the size of the real-world object being represented. In this case, Patty's drawing uses a scale of 1 inch = 45 feet, and Jamie's drawing uses a scale of 2 inches = 35 feet.
In order to find the side length of Jamie's drawing of one of the side length we need to use a proportion:
Jamie's side length / Patty's side length = Jamie's scale / Patty's scale
So if we know one of the side length of Patty's drawing we can find the side length of Jamie's drawing. Let's assume that the side length of Patty's drawing is x
x / Jamie's side length = 45 / 35
So we can isolate Jamie's side length by multiplying both sides by Jamie's scale of 35ft/2 inches
Jamie's side length = (x*35)/45
This is the length of one side length in Jamie's drawing using the scale of 2 inches = 35 feet. If you don't have the length of one side in patty's drawing you can't find the side length of Jamie's drawing.
Step-by-step explanation:
The product of 12 and k is 84. Solve for k.
Answer:
the k is 7
Step-by-step explanation:
12×2=24
12×3=36
12×4=48
12×5=60
12×6=72
12×7=84
Answer:
k = 7
Step-by-step explanation:
The product of 12 and k is 84 [tex]\rightarrow 12k=84[/tex].
[tex]12k = 84 \\ k = \dfrac{84}{12} \\ \boxed{k = 7}[/tex]
Use the graphs of f and g to graph h(x)=(f+g)(x). (Graph segments with closed endpoints).
The required graph of the function of h(x) is shown, where h(x) = |x| + |x + 2|.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
In the graph, functions f and g are absolute functions,
f = |x|
g = |x + 2|
So,
h(x) = f + g
Now substitue the functions,
h(x) = |x| + |x + 2|
Thus, the required graph of the function of h(x) is shown.
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Choose the expression that is equivalent to fraction with 7 raised to the negative tenth power in the numerator and 7 raised to the fourth power times seven raised to the zero power in the denominator.
negative 1 divided by 7 raised to the fourteenth power
−714
1 divided by 7 raised to the fourteenth power
714
Step-by-step explanation:
note that 7⁰ is always 1.
[tex] \frac{ {7}^{ - 10} }{ {7}^{4} } \\ \\ \frac{1}{ {7}^{14} } \\ \\ {7}^{ - 14} [/tex]
the answer is shown above
Answer:
Last option, [tex]\frac{1}{7^{14} }[/tex]
Step-by-step explanation:
[tex]\frac{7^{-10} }{(7^{4} )(7^{0} )}[/tex]=>[tex]\frac{7^{-10} }{7^{4+0}}[/tex]=>[tex]\frac{7^{-10} }{7^{4}}[/tex]=>[tex]7^{-10-4}[/tex]=>[tex]7^{-14}[/tex]=>[tex]\frac{1}{7^{14} }[/tex]
What is the reciprocal of 1 4/13
Answer:
[tex]\frac{13}{17}[/tex]
Step-by-step explanation:
just a tip use math-way in the future it's always been great
Hope this helps!
Which expression is equivalent to (ab6)4?
a4b24
ab24
a5b10
ab28
Answer:
a^4b^24
Step-by-step explanation:
We know, (xy)^n = x^ny^n. So,
(ab^6)^4 = a^4b^(6×4)
= a^4b^24
help please with this assignment
Answer:
13
Step-by-step explanation:
Cuz the factor of y is angle to the 115° is to the Y value
What is the value of X in the triangle below?
Answer:
x=29
Step-by-step explanation:
(2x-2)+(x+5)+90= 180 (sum of angles in a triangle)
2x-2+x+5=90
3x+3=90
3x=87
x=29
Find the first five multiples of the number write a multiple equation to show their multiple
The first five multiples of 5 is 5, 10, 15, 20, 15 and the multiple equation is
5×1, 5×2, 5×3, 5×4, 5×5.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Find the first five multiples of the number.
Let, The number be 5.
Therefore, The first five multiples of 5 is,
5, 10, 15, 20, 25.
And, the multiple equation is,
5×1, 5×2, 5×3, 5×4, 5×5.
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