All categories

4 years ago

Solve the following equation for a: -g + 3/4a = y

Mathematics

1 answer:

matrenka [14]4 years ago

4 0

9514 1404 393

Answer:

a = (4/3)(y+g)

Step-by-step explanation:

Isolate 'a' term, then multiply by the reciprocal of its coefficient.

$-g+\dfrac{3}{4}a=y\qquad\text{given}\\\\\dfrac{3}{4}a=y+g\qquad\text{add $g$}\\\\\boxed{a=\dfrac{4(y+g)}{3}}\qquad\text{multiply by $4/3$}$

You might be interested in

A jar contains 16 black balls,13 blue balls and 2 red balls in a bag. A ball is drawn in random. Find the probability of drawing

Artemon [7]

Answer:

black: 16/31 blue: 13/31 red 2/31

4 0

3 years ago

Read 2 more answers

Triangle LMN has side lengths of 32 inches, 16 inches, and 40 inches. Is triangle LMN a right triangle? Justify your answer

madreJ [45]

Answer:

Yes

Step-by-step explanation:

If you use the Pythagorean theorem you will see that it is indeed a right triangle.

8 0

3 years ago

Read 2 more answers

You only have $20 to spend on dinner. In addition to the cost of the meal you must pay a 5% sales tax and leave a 15% tip What i

den301095 [7]

16$ is the most expensive item you can buy.

4 0

3 years ago

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that

salantis [7]

Answer:

50+8c

Step-by-step explanation:

Basically meaning 50 plus how ever many miles.

6 0

3 years ago

The National Sporting Goods Association (NSGA) conducted a survey of the ages of people that purchased athletic footwear in 2009

Sauron [17]

The sample deviation of a distribution is the square root of the variance

The average age of the distribution is 37.26
The sample standard deviation is 21.27

<h3>How to calculate the average age</h3>

Using a midpoint of 10 for the first class, and 75 for the last, we have the following frequency distribution:

<u>Age Percentage</u>

10 20

15.5 5

21 10

29.5 13

39.5 15

54.5 25

75 12

The average age is then calculated as:

$E(x) = \sum x * P(x)$

So, we have:

$E(x) =10 * 20\% + 15.5* 5\% + 21 * 10\% + 29.5*13\% + 39.5*15\% + 54.5 * 25\% + 75 *12\%$

$E(x) =37.26$

Hence, the average age of the distribution is 37.26

<h3>How to calculate the sample standard deviation</h3>

This is calculated using:

$\sigma = \sqrt{E(x^2) - E(x)^2}$

Where:

$E(x^2) =10^2 * 20\% + 15.5^2* 5\% + 21^2 * 10\% + 29.5^2*13\% + 39.5^2*15\% + 54.5^2 * 25\% + 75^2 *12\%$

Evaluate the products

$E(x^2) =1840.845$

The equation becomes

$\sigma = \sqrt{1840.845- 37.26^2}$

$\sigma = 21.27$

Hence, the sample standard deviation is 21.27

Read more about average and sample standard deviation at:

brainly.com/question/15858152

4 0

2 years ago