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3 years ago

5x+6y= 32 12-4x=8 substitution

Mathematics

1 answer:

PIT_PIT [208]3 years ago

4 0

Answer:

x = 4, y = 2

Step-by-step explanation:

5x + 6y = 32

6y = 32 - 5x

12y - 4x = 8

2(32 - 5x) - 4x = 8

64 - 10x - 4x = 8

56 = 14x

x = 4

6y = 32 - 5(4) = 12

6y = 12

y = 2

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Item 6 Your friend earns $10.50 per hour. This is 125% of her hourly wage last year. How much did your friend earn per hour last

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3 years ago

Beau's recipe for granola bars calls for 3 1/2 cups of oatmeal. He only has a 1/6 cup scoop. How many scoops of oatmeal will he

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There will be $\boxed{\bf 21}$ scoops of oatmeal to complete the recipe.

Further explanation:

Given that Beau’s recipe of granola bars contains $3\frac{1}{2}$ cups of oatmeal.

Beau’s has only $\frac{1}{6}$ cup scoop.

Our aim is to find the number of scoops of oatmeal Beau’s needed to complete the recipe for granola bars.

Total cups of oatmeal are $3\frac{1}{2}$ .

First we have to convert the total cups of oat meal to proper fraction.

$\begin{aligned}\text{Cups of oatmeal for the recipe}&=\dfrac{(3\cdot 2)+1}{2}\\&=\dfrac{6+1}{2}\\&=\dfrac{7}{2}\end{aligned}$

There is only $\frac{1}{6}$ cup scoop.

Since there are $\frac{7}{2}$ cups of oatmeal and $\frac{1}{6}$ cup scoop, therefore, number of scoops required to complete the meal are calculated as follows:

$\begin{aligned}\text{Number of scoops required}&=\dfrac{\frac{7}{2}}{\frac{1}{6}}\\&=\dfrac{7}{2}\cdot 6\\&=7\cdot 3\\&=21\end{aligned}$

The total number of scoops is obtained in whole number; therefore, this is our final answer.

Therefore, $\boxed{\bf 21}$ scoops of oatmeal are needed by Beau’s to complete the recipe of granola bars.

Learn more:

1. Learn more about simplified form brainly.com/question/1602237

2. Learn more about equations brainly.com/question/1473992

3. Learn more about fractions brainly.com/question/1648978

4. Learn more about composite function brainly.com/question/2723982

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Fractions

Keywords: Beau’s, recipe, granola, bars, cups, oatmeal, scoop, 3 1/2 ,1/6 cup scoop, complete, cups of oatmeal, fractions, whole number.

7 0

3 years ago

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