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3 years ago

5

R 2- 12r - 28 = 0

lt="r 2- 12r - 28 = 0" align="absmiddle" class="latex-formula">

1 answer:

Neko [114]3 years ago

5 0

Answer:

Step-by-step explanation:

r² - 12r - 28 = 0

r² - (14 - 2)r - 28 = 0

r² - 14r + 2r - 28 = 0

r ( r - 14 ) + 2 ( r - 14 ) = 0

( r - 14) ( r + 2 ) = 0

Either

r - 14 = 0

r = 14

or

r + 2 = 0

r = -2

therefore r = - 2 or 14

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Use the clues to write a number that has digits 3,5,7,9. The 3 has a value 10 times the 3 in 843, the 9 has a value 100 times th

andrey2020 [161]

Answer:

7935

Step-by-step explanation:

The required number consists of digits 3,5,7,9.

3 in 843 appears in the units place. In the required number 3 has a value which is ten times that in 843. So in the required number 3 appears in the tens place.

9 in 34629 appears in the units place. In the required number 9 has a value which is hundred times that in 34629. So in the required number 9 appears in the hundreds place.

7 in 4782 appears in the hundreds place. In the required number 7 has a value which is ten times that in 4782. So in the required number 7 appears in the thousands place.

5 is in the remaining place.

So the required number is 7935

3 0

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

Drupady [299]

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

Read 2 more answers

If inflation from last year to this year was 2% and a pair of designer jeans sold for $75 last year, what would you expect to pa

tamaranim1 [39]

Answer:

$76.5

Step-by-step explanation:

We have been given that inflation from last year to this year was 2% and a pair of designer jeans sold for $75 last year. We are asked to find the price of pair of designer jeans this year.

An inflation of 2% will increase the price of pair of jeans by 2%, so price of pair of jeans this year would be $75 plus 2% of $75.

$\text{Price of pair of jeans this year}=\$75+\$75\times\frac{2}{100}$

$\text{Price of pair of jeans this year}=\$75+\$75\times0.02$

$\text{Price of pair of jeans this year}=\$75+\$1.5$

$\text{Price of pair of jeans this year}=\$76.5$

Therefore, the price of pair of jeans would be $76.5 this year.

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3 years ago

What is the GCF of 55 and 24

KIM [24]

Answer:

1 is the GCF of 55 and 24

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3 years ago

Write the word sentence as an inequality. Then solve the inequality.

ss7ja [257]

Answer:

x/7<-3

x<-21

Step-by-step explanation:

x/7<-3

multiply the seven to get rid of x denominator

x<-21

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3 years ago