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2 years ago

What is the unit rate of $10 for 8 cans of soup?

Mathematics

1 answer:

NARA [144]2 years ago

3 0

Answer:

Step-by-step explanation:

= 1.25 1 per can

Showing Work

This is a fraction equal to

10 1 ÷ 8 can

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 8

10 1 ÷ 8

8 can ÷ 8

1.25 1

1 can

1.25 1

can

= 1.25 1 per can

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The length of a rectangle is the width minus 8 units. The area of the rectangle is 9 units. What is the length, in units, of the

frez [133]

Length of rectangle is 1 unit

<u>Solution: </u>

Given that

Length of a rectangle is width minus 8 units.

Area of rectangle = 9 square units

Need to calculate the length of rectangle.

Let us assume width of rectangle = x

As Length is width minus 8,

Length of the rectangle = x – 8

$\text{ Area of rectangle }=\text{ width of rectangle }\times \text{ Length of the rectangle }$

$\text{ Area of rectangle }= x\times (x-8)$

$\text { Area of rectangle }=\left(x^{2}-8 x\right)$

As given that area of rectangle = 9 square units

$\begin{array}{l}{\Rightarrow x^{2}-8 x=9} \\\\ {\Rightarrow x^{2}-8 x-9=0}\end{array}$

On solving above quadratic equation for x, we get

$\begin{array}{l}{\Rightarrow x^{2}-9 x+x-9=0} \\\\ {\Rightarrow x(x-9)+1(x-9)=0} \\\\ {\Rightarrow (x-9)(x+1)=0}\end{array}$

When $x-9 =9, x = 9$

When $x + 1 = 0, x = -1$

As width cannot be negative, so considering x = 9

$\text{ Length of rectangle }= x-8 = 9-8 = 1 \text{ unit }$

Hence, Length of rectangle is 1 unit.

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2 years ago

If you spin the spinner 90 times,<br> how many times should the<br> number 3 be selected?

prohojiy [21]

Answer:

Step-by-step explanation:

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3 years ago

Solve the following: 4x-1/2 = x+7

MArishka [77]

Answer:

x = 2.5

Step-by-step explanation:

4x-1/2 = x+7

4x-x = 7+0.5

3x = 7.5

x = 2.5

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1 year ago

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HACTEHA [7]

Answer:

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2 years ago

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kolbaska11 [484]

Answer:

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Step-by-step explanation:

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