2 years ago

Rewrite as a unit rate.

Mathematics

1 answer:

EastWind [94]2 years ago

5 0

Answer:

rewrite what as the unit rate?

Step-by-step explanation:

What is the question

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Devon made a box with length x+1, width x+3, and height x-3. What is the volume of Devon's box as a function of x?

erica [24]

Answer:

(a)

$V=x^3+x^2-9x-9$

(b)

$x=10$

(c)

$x=\frac{7}{2}$

Step-by-step explanation:

we are given

length is x+1

$L=x+1$

width is x+3

$W=x+3$

height is x-3

$H=x-3$

(a)

we can use volume formula

$V=L\times W\times H$

now, we can plug it

$V=(x+1)\times (x+3)\times (x-3)$

now, we can simplify it

$V=x^3+x^2-9x-9$

(b)

we are given volume =1001

so, we can set V=1001

and then we can solve for x

$V=x^3+x^2-9x-9=1001$

now, we can factor it

$\left(x-10\right)\left(x^2+11x+101\right)=0$

$x-10=0$

$x=10$

(b)

we are given volume

so, we can set

$V=14\frac{5}{8}=\frac{14\times 8+5}{8}$

$V=\frac{117}{8}$

and then we can solve for x

$V=x^3+x^2-9x-9=\frac{117}{8}$

now, we can factor it

$8x^3+8x^2-72x-189=0$

$\left(2x-7\right)\left(4x^2+18x+27\right)=0$

$2x-7=0$

$x=\frac{7}{2}$

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3 years ago

How does the value of the digit 2 in the number 32,000 compare with the value of the digit 2 in the number 26,000?

julsineya [31]

Answer:

the second value is ten times higher then the refference one

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3 years ago

A softball backstop that is 10 feet high casts an 8-foot shadow at the same time a light pole casts a 20-foot shadow. The height

Sedbober [7]

I'm just getting points

Step-by-step explanation:

just getting points

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2 years ago

If the quotient is 12 and the dividend is 288 what is the divisor

Ilia_Sergeevich [38]

X - the divisor

288 : x = 12 ⇒ x = 288 : 12 ⇒ x = 24

Answer: the divisor is 24.

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2 years ago

Which of the following sets include all rational numbers?

kicyunya [14]

It's the Second one and the third one

Step-by-step explanation:

Pie is irrational so you can easily cross it off and it leads to to the second one and the third one

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3 years ago