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asambeis [7]
3 years ago
9

What is the volume of a rectangular Prism if it is scaled down by a factor of 1/10? Original volume is 135.

Mathematics
1 answer:
Snezhnost [94]3 years ago
6 0

Answer:

V=0.135\ units^3

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to teh scale factor elevated o the cube

Let

z ----> the scale factor

x ----> the volume of the dilated prism

y ----> the volume of the original prism

z^3=\frac{x}{y}

we have

z=\frac{1}{10}

y=135\ units^3

substitute

(\frac{1}{10})^3=\frac{x}{135}

solve for x

(\frac{1}{1,000})=\frac{x}{135}

x=135/1,000=0.135\ units^3

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Steve travels 2 times as fast as Jill. Traveling in opposite directions, they are 120 miles apart after 2.5 hours. Find their ra
Tcecarenko [31]

let's recall that d = rt, distance = rate * time.

we know that Steve is twice as fast as Jill, so say if Jill has a speed or rate of "r", then Steve is traveling at 2r fast, now we know they both in opposite directions have covered a total of 120 miles, so if Jill covered "d" miles then Steve covered 120 -d, check the picture below.

\begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Jill&d&r&2.5\\ Steve&120-d&2r&2.5 \end{array}~\hfill \begin{cases} d=2.5r\\[2em] 120-d=5r \end{cases} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{120-2.5r=5r\implies 120=7.5r}\implies \cfrac{120}{7.5}=r\implies \stackrel{Jill's}{16=r}~\hfill \stackrel{Steve's}{32}

6 0
2 years ago
PLEASE HELP WILL GIVE BRAINLIEST ANSWER IF CORRECT
Fofino [41]
Unit rate = 36

---------------------------------
8 0
3 years ago
There’s also D <br><br> D: 4m on top and 4m on the side
Wewaii [24]

B hope this helped have a nice day! =D

Oh yes 4x5 is another answer so yep god I forgot that sorry!

4 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP Which of the following is not a possible value of x?
scoundrel [369]
A is not a possible value.

B-D make more sense than A.
5 0
4 years ago
Read 2 more answers
Apple tarts sell for 3 for$5.00. How much will 8 tarts cost?
MAXImum [283]

Answer:

<h2>$13.30</h2>

Step-by-step explanation:

Step one:

given

We are told that 3 apples seels for $5

let us first find the selling price of 1 apple

an apple = 5/3

=$1.6

Required

Step two:

The selling price of 8 apples

if 1 apple sells for $1.6

then 8 apples will sell for

=8*1.6

=$13.30

8 0
3 years ago
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