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3 years ago

If 1/8 cup of popcorn makes 6 quarts, how many quarts will 3/8 cup make?

Mathematics

1 answer:

Goshia [24]3 years ago

8 0

Answer:

18 quarts, 3 x 6 is 18.

Step-by-step explanation:

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2 1/7+3/7(3X-5) =-4

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3 years ago

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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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3 years ago

The formula for calculating the volume of a cone is solve this formula for h

elixir [45]

Answer:

$V = \frac{1}{3} \pi {r}^{2} h \\$

multiply either sides by 3:

$3 \times V = ( \frac{1}{3} \pi {r}^{2} h) \times 3 \\ \\ 3V = \pi {r}^{2} h$

divide either sides by πr² :

${ \boxed{ \boxed{h = \frac{3V}{\pi {r}^{2} } }}} \\$

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2 years ago

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What is the answer for "a boat travels 4 miles in 4 hours (with a constant speed). how far can it travel in 2 hours (with the sa

ElenaW [278]

4 miles in 4 hrs.....4/4 =1...thats 1 mile per hr

for 2 hrs.....at 1 mile per hr = 2 miles <==

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3 years ago

An isosceles triangle is such that each of the base angles is twice the vertical angle. find the angles of the triangle

frosja888 [35]

Answer:

2x + 2x + x =180
x = 36 degree

Step-by-step explanation:

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2 years ago