MATHEMATICS HIGH SCHOOL

Box A has a volume of 32 cubic meters. Box B is similar to box A. To create Box B, Box A's dimensions were tripled. What is the volume of Box B?864 m3
288 m3
96 m3
32 m3

Answers

Answer 1
Answer:

The volume of Box B is 864m^3, when the volume of box A is 32 cubic meters and the volume of box B is three times the volume of box A.

We have given that,

Box A has a volume of 32 cubic meters.

Box B is similar to box A.

To create Box B, Box A's dimensions were tripled.

We have to determine the volume of Box B.

What is the ratio?

Ratio is the analytical tool that helps in determining the proportion of one variable over the another. It helps in taking decisions such as business decisions, construction decision, and many more.

Computation:

ratio =side of B/side if k is the ratio =sideof B/side of A=3

The area is multiplied by:

k²=9Volume by k^3=27

Or

27*32=864 (m^3)

The volume of Box B is 864m^3, when the dimension of box B is triple the dimension of box A.

Therefore, option A. is correct.

To learn more about the ratio visit:

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Answer 2
Answer: Hello,

if k is the ratio =side of B/side of A=3
Area is multilpy by k²=9
Volume by k^3=27
Or 27*32=864 (m^3)

Answer A

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The volume of a cube depends on the length of its sides. This can be written in function notation as v(s). What is the best interpretation of v(3) = 27?A. A cube with a volume of 3 cubic feet has side lengths of 27 feet.
B. A cube with side lengths of 3 feet has a volume of 27 cubic feet.
C. 3 sides of the cube have a total length of 27 feet.
D. 3 of these cubes will have a total volume of 27 cubic feet.

Answers

we know that

The volume of a cube is equal to

V(s)=s^(3)

where

s is the length side of the cube

In this problem we have

s= 3\ ft

The volume is equal to

V(3)=3^(3)=27\ ft^(3)

therefore

the answer is the option B

A cube with side lengths of 3 feet has a volume of 27 cubic feet
I think the correct answer from the choices listed above is option B. The best interpretation of the function given as v(3) = 27 would be a cube with side lengths of 3 feet has a volume of 27 cubic feet. Hope this answers the question. Have a nice day.

which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x) − 11? (5 points) the graph of y = f(x) will shift up 11 units. the graph of y = f(x) will shift right 11 units. the graph of y = f(x) will shift left 11 units. the graph of y = f(x) will shift down 11 units.

Answers

the graph of y = f(x) will shift down 11 units.

Answer:

Step-by-step explanation:

Alright, lets get started.

When we add or subtract any thing from the function f(x), that is called vertical shift.

The vertical shift means graph will move up or down.

When something is added, the graph of f(x) goes up means vertical shift up.

When something is subtracted, the graph of f(x) goes down, means vertical shift down.

So, when 11 is subtracted from f(x), it means, the graph of f(x) will shift 11 units down.   :  Answer

Hope it will help :)

How do you solve 8a+a-3=6a-2a-3 step by step

Answers

8a + a - 3 = 6a - 2a - 3

1. Add the a's on both sides:

9a - 3 = 4a - 3

2. Shift 4a to the left and -3 to the right of the equals sign (this changes their signs):

9a - 4a = -3 + 3

3. Simplify:

5a = 0

So a = 0

Applying simple mathematical operations, after isolating 'a' we get the solution o =f the given expression is a = 0.

Using operations like addition, subtraction, multiplication, and division, a mathematical expression is defined as a group of numerical variables and functions.

The given expression is

8a+a-3=6a-2a-3


To solve this equation:

Simplify the like terms,

9a-3 = 4a-3

Add 3 on both sides,

9a = 4a

Isolate a by subtracting 4a on both sides,

5a = 0

Dividing both sides by 5 we get,

a = 0.

Hence,

The solution of the given expression a = 0.

To learn more about the mathematical expression visit:

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David received $50 dollars for working at his father’s store. He spent $20 dollars at the movies, and $10 dollars buying comic books. After buying $5 worth of candy, he saved the rest. What is the ratio of the amount of money David spent to the amount that David saved?

Answers

Total amount of money received by David for working at his father's store = $50
Amount of money spent by David at the movies = $20
Amount of money spent by David buying comics books = $10
Amount of money spent by David buying candy = $5
Then
Total amount spent by David = (20 + 10 + 5) dollars
                                               = 35 dollars
Amount of money saved by David = (50 - 35 ) dollars
                                                       = 15 dollars
So
The ratio of the amount of money David
spent to the amount of money David saved = 35:15
                                                                      = 7:3
So the ratio of the amount of money David spent to the amount of money David saved is 7:3

Choose the three fractions that are less than 4/8 A) 1/2 B) 1/4 C) 5/8 D) 1/3 E) 1/8 F) 3/4

Answers

Answer:

B. 1/4  

D. 1/3  

E. 1/8

Step-by-step explanation:

4/8 can be represented as 1/2 or a half, therefore, find fractions that are less than half of the denominator.

Doing so will leave you with B, D, and E.

B.

Half of 4/4 is 2/4, 1/4 is less

D.

Half of 3/3 is 1.5/3, 1/3 is less

E.

Half of 8/8 is 4/8, 1/8 is less

The point (5, -1) is a solution of the equation: y = 2x − 11 question 28 options: true false

Answers

True
This is because on replacing for x=5;
y=2x-11
y=2(5)-11
y=10-11
y=-1
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