MATHEMATICS
HIGH SCHOOL

Answer: W = 120 + 5(h - 30).

So, if he works 35 hours, he will earn:

120 + 5(35 - 30) = 120 + 5(5) = 120 + 25 = $145.

If he works 42 hours, he will earn:

120 + 5(42 - 30) = 120 + 5(12) = 120 + 60 = $180.

So, if he works 35 hours, he will earn:

120 + 5(35 - 30) = 120 + 5(5) = 120 + 25 = $145.

If he works 42 hours, he will earn:

120 + 5(42 - 30) = 120 + 5(12) = 120 + 60 = $180.

MIDDLE SCHOOL

When Katie was visiting her grandpas farm she saw the farm only raised hands and pigs. Katie counted 32 heads and 100 feet in the backyard. How many hands and pigs were there in the backyard

There were 14 hens and 18 pigs in the backyard

Step-by-step explanation:

Katie was visiting her grandpas farm

- She saw only hens and pigs
- Katie counted 32 heads and 100 feet in the backyard

We need to find how many hens and pigs in the backyard

Assume that there are x hens and y pigs in the backyard

∵ There are x hens and y pigs in the backyard

∵ There are 32 heads

∴ x + y = 32 ⇒ (1)

∵ Each hen has 2 feet

∵ Each pig has 4 feet

∵ There are 100 feet

∴ 2x + 4y = 100 ⇒ (2)

Let us solve the system of equations to find how many hens and pigs

Multiply equation (1) by -2 to eliminate x

∴ -2x - 2y = -64 ⇒ (3)

- Add equations (2) and (3)

∴ 2y = 36

- Divide both side by 2

∴ y = 18

Substitute the value of y in equation (1) to find the value of x

∵ x + 18 = 32

- Subtract 18 from both sides

∴ x = 14

There were 14 hens and 18 pigs in the backyard

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#learnwithBrainly

MIDDLE SCHOOL

Which value of y makes the equation true?

y – 6.3 = –2.2

y =

If 6.3 is added to both sides, y=8.5

MIDDLE SCHOOL

Gina wrote the number 43,628. Then she used the same digits to write a new number. In the new number, she moved the digit 6 one place to the left. Which is the value of 6 in Gina's new number?

It's in the same place as the 3, so the value will be 6,000.

HIGH SCHOOL

Use the quadratic function to predict y if x equals 7. y = 2x2 − 3x + 3

Solution:

We have been ask to predict the value of y.

we are given that

To find the value of y , substitute the value of x in the given quadratic

Hence the value of y=80

Y=-14 OR Y will equal negative 14