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3 years ago

Elena needs to find a table that will fit three cube-shaped cases, each containing a frog.

Mathematics

1 answer:

NikAS [45]3 years ago

5 0

Answer:You could not use a table with a top that is 2 1/2 feet long and 1 1/2 feet wide

Step-by-step explanation:

The complete question is

Elena needs to find a table that will fit three cube-shaped cases, each containing a frog.If the volume of each case is 1,000 cubic inches, could she use a table with a top that measures 2 1/2 feet long and 1 1/2 feet wide?Explain

step 1

Find the length side of the cube-shaped case

we know that

The volume of the cube is equal to

where

b is the length side of the cube

we have

substitute

solve for b

step 2

Convert feet to inches

we have

step 3

Compare the dimensions of the table with the dimensions of the cube-shaped case

30 > 10

The length of the table is greater than the length side of the cube

18> 10

The width of the table is greater than the length side of the cube

therefore

You could not use a table with a top that is 2 1/2 feet long and 1 1/2 feet wide

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Step-by-step explanation:

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$-5+\frac{7y}{2}=8\\\\\mathrm{Multiply\:both\:sides\:by\:}2\\-5\cdot \:2+\frac{7y}{2}\cdot \:2=8\cdot \:2\\-10+7y=16\\y=\frac{26}{7}\\$

$\mathrm{For\:}x=\frac{10-5y}{4}\\\mathrm{Subsititute\:}y=\frac{26}{7}\\x=\frac{10-5\cdot \frac{26}{7}}{4}\\\\$

$x=-\frac{15}{7}\\$

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