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Firdavs [7]
4 years ago
11

A rectangular prism has a length of 2 1/2 centimeters, a width of 2 1/2 centimeters, and a height of 5 centimeters. Justin has a

storage container for the prism that has a volume of 35 cubic centimeters.
What is the difference between the volume of the prism and the volume of the storage container?



Enter your answer in the box as a simplified mixed number or a decimal.


cm³
Mathematics
2 answers:
satela [25.4K]4 years ago
8 0
V = 31.25 cm³  burn my nose hairs
defon4 years ago
4 0
Answer:

l = 2.5 cm
w = 2.5 cm
h = 5 cm
d = 6.12372 cm
S = 62.5 cm2
V = 31.25 cm³ 

35 cm³- 31.25 cm³ = <span>3.75 cm</span>³  <- Answer
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Lily goes car shopping and finds two cars. The first one burns fossil fuel, gasoline, that sells for $18,000. It will cost $100
Anna007 [38]

Answer:

Cost to buy and run the first car for 5 years=$24000

Cost to buy and run the second car for 5 years=$26000

I think we should buy the first car, because It is cheaper to buy and maintain

Step-by-step explanation:

first car:

Cost $18000 to buy

Cost $100 to maintain each month

5years =5 x 12=60months

Cost to maintain for 60months=100x60=$6000

First car cost to buy and run over the 5 year period=18000+6000=$24000

Second car:

It cost $22400 to buy

Cost $60 to maintain each month

5years=60months

Cost to maintain for 60months is 60 x 60=$3600

Cost to buy and run over the second car for 5years is 22400+3600=$26000

4 0
4 years ago
May someone help please fast! Thanks!
spin [16.1K]

Answer:

10m

Step-by-step explanation:

We can set up an equation to solve this.

\frac{20}{25} =\frac{8}{x}

This equation can be created since we are given two similar sides of both triangles.

Now, cross multiply and simplify to solve for x.

20x=200\\x=10

The answer is sensible, and if you put 10 into the same equation from earlier, you will see that it is accurate.

Therefore, the value of x is 10m.

4 0
4 years ago
I think I have the correct answers but will anyone try to solve these questions so I can see if we got the same answer.
Andre45 [30]

Because you seem to have an understanding of the material, I will write my math, but no explanations for my work. Comment on this answer for an explanation, or if I did something wrong.

1. Find the length of the South side of the field.

(5x+2)+(x^2-9)+(x^2-7x+12)\\5x+2+x^2-9+x^2-7x+12\\2x^2+5x+2-9-7x+12\\2x^2-2x+2-9+12\\2x^2-2x+5

2.Find the perimeter of the pumpkin field.

2(5x+2)+2(5x-2)\\(5x+2)+(5x+2)+(5x-2)+(5x-2)\\20x+4-4\\20x

3. Find the perimeter of the whole field.

2(4x+5x-2)+2(5x+2+x^2-9+x^2-7x+12)\\2(9x-2)+2(2x^2-2x-5)\\18x-4+4x^2-4x+10\\4x^2+14x+6

4. If x=30ft, what is the total perimeter?

P=4x^2+14x+6\\P=4(30)^2+14(30)+6\\P=4(900)+420+6\\P=1026ft

Random Tangent:

If you want to involve y in finding these answers for whatever reason, your math is going to get messy. Here's what I tried before I realized you could multiply each side by 2 to get the total perimeter:

xy+1+x+6=4x+5x-2\\xy-8x=-9\\x(y-8)=-9\\y-8=-\frac{9}{x}\\y=-\frac{9}{x}+8

Now the other side. This one's even worse.

xy-1+6x+x=5x+2+x^2-9+x^2-7x+12\\xy+9x-2x^2=5\\x(y+9+2x)=5\\2x+9+y=\frac{5}{x}\\y=\frac{5}{x}-2x-9

At this point, was realizing I wasn't going about the problem correctly, but did one last try by setting y=y. At this point in the equation, I simply had to stop, both due to complexity and technological problems.

\frac{5}{x}-2x-9=-\frac{9}{x}+8\\\frac{14}{x}=2x+17\\ 14=2x^2+17x\\0=2x^2+17x-13\\

I could possibly continue to solve, but I don't see a point. It was clear that this was NOT the right path to take finding the perimeter. It was here I realized that I could just multiply the two sides without y in them by 2 and--without as much difficulty--reach the correct answer.

6 0
3 years ago
Whats 1/3 of 7 as a fraction
Sveta_85 [38]
Hey there!
Whenever we see the keyword "of", we know that it's multiplication.
Therefore, we're <em>multiplying</em> 1/3 and 7/1.
That gives us 7/3 by multiplying the numerators and denominators.
Hope this helps!
5 0
4 years ago
HELP PLS, IT’S FOR A TEST!
solniwko [45]

Answer:

Its scale/actual, good luck on the test

4 0
4 years ago
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