MATHEMATICS MIDDLE SCHOOL

Two rectangular prisms have the same volume. The area of the base of the blueprism is 2 square units. The area of the base of the red prism is one third that
of the blue prism. Which statement is true?

a)The height of the red prism is one-third the height of the blue prism.
b)The height of the red prism is the same as the height of the blue prism.
c)The height of the red prism is six times the height of the blue prism.
d)The height of the red prism is three times the height of the blue prism.

Answers

Answer 1

Answer:

Answer:

d) the height of red prism is three times the height of the blue prism.

Step-by-step explanation:

i) the volume of a rectangular prism is given by area of base $*$ height.

ii) volume of the blue prism is = (base of blue prism) $*$ (height of blue prism)

iii) volume of red prism is = (base of red prism) $*$ ( height of the red prism)

= $(1)/(3)$ $*$ ( base of blue prism) $\height$ $*$ ( height of red prism)

iv) it is also given that

volume of blue prism = volume of red prism

⇒ (base of blue prism) $*$ (height of blue prism) = (base of red prism) $*$ (height of red prism)

⇒(base of blue prism) $*$ (height of blue prism) = $(1)/(3)$ $*$ ( base of blue prism) $*$ (height of red prism)

⇒ (height of blue prism) = $(1)/(3)$ $*$ (height of red prism)

∴ height of red prism = 3 $*$ height of blue prism

Therefore the correct option is

d) the height of red prism is three times the height of the blue prism.

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Defenition of exponent

Answers

An exponent is a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression (e.g. 3 in 23 = 2 × 2 × 2).

In other words, an exponent represents how many times you multiply (or divide) a value by itself.

Answer:

The definition of an exponent is..

Step-by-step explanation:

A quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression (e.g. 3 in 23 = 2 × 2 × 2).

Hope this helped >,<

The equation d=3t represents the relationship between the distance (d) in inches that a snail is from a certain rock and the time (t ) in minutes. How far will the snail be from the rock after 9 minutes?

Answers

Answer:

d=27

Step-by-step explanation:

d=3t, and t=time, and time=9 so d=3(9), so d=3*9, 3*9=27, so d=27.

There are 34 adults and children13 on tour how much money will the group save by visiting the main deck of the observation tower instead of the top deckexplain your answer

tower main deck adult $25
tower main deck child $19
top deck all $32

Answers

You would save 407 dollars by getting the kids at 19 a piece and the adults at 25 a piece instead of paying the 32 dollars for each person

What is 1/7 to 1/14 as a unit rate

Answers

1/7in=1/14min is what I think.

What is 34-34

(A) 0

(B) 90

(C) 7

(D) 12

Answers

Answer:

Step-by-step explanation:

Answer/Step-by-step explanation:

34 - 34= 0

It basically undoes what is being done and gets rid of its worth.

20 POINTS FOR ANYONE TO ANSWER CORRECTLY
PLEASE HELP!!!!

Answers

Lets solve this step by step.A is not a positive because (-9)*8=-72.B if positive because -12*(-3)=36. A negative times a negative is a positive.C is also a positive because (-2/5)*(-4) is a positive.D is not a positive because like A, one is negative and the other number is positive. A negative times a positive is a negative.I hope it helped!

We need to solve this by looking at each answer choice.

A. $- (w)/(9)=8$

To solve for w, we need to multiply by -9 on both sides.

So, $-(w)/(9) * -9 = 8 * -9\n\nw = -72$

This is not a positive solution. So eliminate A.

B. $(-12) = (y)/((-3))$

To solve for y, we need to multiply by -3 on both sides.

So, $(-12) * (-3) = (y)/((-3)) * (-3)\n\ny = 36$

This is a positive solution. This is one of our answers.

C. $[tex]-4* (-5)/(2)= -(2)/(5)z* -(5)/(2)\n\nz = 10$ [/tex]

We need to multiply by -5/2 on both sides to solve for z.

This is a positive solution. This is one of our answers.

D. $(1)/(7)x = -2$

We need to multiply by 7 on both sides to solve for x.

So, $(1)/(7) x * 7 = -2 * 7\n\nx = -14$

This is a negative solution. So this is not the answer.

So your final answer is B and C.

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