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lions [1.4K]
3 years ago
7

A shipping company is loading cube shaped crates into a larger cube shaped container the smaller cubes have side lengths 21/2 fe

et,and the larger shipping container has side lengths of 10 feet. How many crates will fit in the largest shipping container?Explain your reasoning
Mathematics
1 answer:
zheka24 [161]3 years ago
7 0

Answer:

64 crates

Step-by-step explanation:

Smaller Cube Side Length = 2 1/2 feet, or, 2.5 feet

Larger Container (Cube) Side Length = 10 feet

We find volume of larger container and find volume of small crates. We divide the large volume by volume of each crate. This will give us number of crates we can fit.

Volume of Cube = x^3

Where x is the side length of the cube

Now,

Small Crate Volume = (2.5)^3 = 15.625 cubic feet

Large Container Volume = 10^3 = 1000 cubic feet

Number of crates that would fit = 1000/15.625 = 64

So, 64 crates will fit in the largest shipping container

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Answer:

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Step-by-step explanation:

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(x^2+3x-7)(2x-5) write in standard form
Gnoma [55]
Hi there!
The question is asking us to simplify the expression (x² + 3x - 7)(2x - 5) and write the answer in standard form. Here is how you do that - 
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7 0
3 years ago
What is the future value of $1,600 in 17 years assuming an interest rate of 10 percent compounded semiannually?
Naddika [18.5K]
Let
F--------------------> future value
P--------------------> present value 
r --------------------> interest rate per year
m ------------------ > number of compounding periods per year
t -------------------->  time in years. 
we know that
P=$1,600
<span>t=17 years
m=2
r=10%------> 0.10

F=P(1+i)</span><span>^n
</span><span>where
i=r/m   ---------> 0.10/2=0.05
and
n=m*t------------> 2*17=34

</span>F=1600*(1+0.05)^34=8405.36
<span>
the answer is $</span>8405.36<span>

</span>
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You can use Desmos to graph any equation:

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