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2 years ago

Express the volume of the box as apolynomial in the variable x

Mathematics

1 answer:

Whitepunk [10]2 years ago

7 0

The volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)

<h3>How to determine the volume?</h3>

The complete question is added as an attachment

From the attached image, we have:

Length = 12 - 2x

Width = 7 - 2x

Height = x

The volume is calculated as:

Volume = Length * Width * Height

Substitute the known values in the above equation

Volume = (12 - 2x) * (7 - 2x) * x

This gives

Volume = x(12 - 2x)(7 - 2x)

Hence, the volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)

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2) Brian purchased pens for 75 cents each and pencils for 40 cents each he bought total of 22 writing utensils for $11.95. How m

d1i1m1o1n [39]

Answer:

13 pencils.

Step-by-step explanation:

Let x be the pens and y be the pencils

Given:

Brian purchased pens for 75 cents each and pencils for 40 cents each he bought total of 22 writing utensils for $11.95.

Total pens and pencils is 22

So, $x+y=22$ ----------------(1)

And he bought all utensils for $11.95. and each pen for 75 cents and pencils for 40 cents.

$0.75x+0.40y=11.95$ ------------(2)

solve equation 1 and equation 2 for x and y.

From equation 1.

$x+y=22$

$y=22-x$ ----------------(3)

put y value in equation 2.

$0.75x+0.4(22-x)=11.95$

$0.75x+0.4\times 22-0.4x=11.95$

$0.75x+8.8-0.4x=11.95$

$0.75x-0.4x=11.95-8.8$

$0.35x=3.15$

$x=\frac{3.15}{0.35}$

$x=9$

Now substitute x value in equation 3.

$y=22-9$

$y=13$

So, he buy 13 pencils.

5 0

3 years ago

5. What’s the answer to this question ASAP

tatiyna

Answer:

D is the correct answer

(hope this helps)

8 0

3 years ago

3w-13w= -20???????????

Akimi4 [234]

3w-13w=-20

Combine like terms

-10w=-20

divide both sides by -10

w=2

5 0

3 years ago

How many natural numbers from 78 to 24?

I am Lyosha [343]

54 numbers is the answer

3 0

3 years ago

Tanzania [10]

Answer:

$45.50

Step-by-step explanation:

1. $65.00 ÷ 100 = 0.65

2. 0.65 x 30 = $19.50

3. $65.00 - $19.50 = $45.50

4 0

2 years ago