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vladimir1956 [14]
3 years ago
12

Working Two Jobs. Maggie has a job working in an office for $10 an hour and another job driving a tractor

Mathematics
1 answer:
kicyunya [14]3 years ago
5 0

Answer:

x*$10 + y*$16 = $480

Step-by-step explanation:

The question seems incomplete, and after a search online I've found a lot of similar questions with similar numbers, so I really can not be sure of which one is the complete question.

I suppose that we want to get a linear equation that describes the given situation:

Let's define two variables:

x = number of hours that Maggie works in the office (for $10 each)

y = number of hours that Maggie works driving a tractor (for $16 each).

Then the total amount of money that Maggie gets is:

x*$10 + y*$16

Now we know that she earns $480 per week, then we know that:

x*$10 + y*$16 = $480

This is a linear equation we wanted to get, where (just to be complete) we need to add the restrictions:

x ≥ 0

y ≥ 0

(this means that she can not work a negative number of hours).

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In triangle PQR, segments QS and RT are medians. If PT = 3x - 1, PS = 4x - 2, and
MrMuchimi

The length of SR is 10 inches ⇒ answer B

Step-by-step explanation:

The median of a triangle is the segment drawn from one vertex to

the mid-point of the opposite side to this vertex

In Δ PQR

1. QS is a median

2. RT is a median

We need to find the length of SR

∵ QS is a median in Δ PQR

∵ PR is the opposite side to vertex Q

∴ S is the mid-point PR

∴ PS = SR

∵ PS = 4x - 2

∵ SR = 2x + 4

∴ 4x - 2 = 2x + 4

- Subtract 2x from both sides

∴ 2x - 2 = 4

- Add 2 to both sides

∴ 2x = 6

- Divide both sides by 2

∴ x = 3

Substitute the value of x in the expression of SR

∵ SR = 2x + 4

∵ x = 3

∴ SR = 2(3) + 4

∴ SR = 6 + 4

∴ SR = 10 inches

The length of SR is 10 inches

Learn more:

You can learn more about triangles in brainly.com/question/3358617

#LearnwithBrainly

8 0
3 years ago
Factor each expression<br><br> 24x +8y<br><br><br> HELP ASAP <br> WRONG ANSWERS REPORTED
STatiana [176]
I think your answer would be 3(3x+y)
6 0
3 years ago
Can we eliminate all fat people from the earth? they're useless individuals. ​
Mumz [18]

Answer:

No

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Triangle F G E is shown. Angle F E G is a right angle. The length of hypotenuse F G is 18.6 inches and the length of F E is 12 i
Delicious77 [7]

Answer:

Measure of ∠FGE is 40.2°.

Step-by-step explanation:

Refer to the attachment.

Consider ΔFGE. Given that ∠FEG = 90° and ∠FGE is x°.

To find the value of ∠FGE use trigonometric ratios.

Use sine ratio to find the value of ∠FGE.

\sin \theta=\dfrac{opposite\:side}{hypotenuse\:side}

Rewriting it in terms of x° as follows,

\sin x=\dfrac{opposite\:side}{hypotenuse\:side}

Now find the opposite and hypotenuse side of the angle ∠FGE.

So opposite side of ∠FGE is FE and hypotenuse side of ∠FGE is FG.

Substituting the values,

\sin x=\dfrac{FE}{FG}

Given that length of FE is 12 inch and FG is 18.6 inch.

Substituting the value,

\sin x=\dfrac{12}{18.6}

To find the value of x, taking inverse sin.

x=\arcsin \left(\dfrac{12}{18.6}\right)

Calculating the value,

x=40.17

Rounding to nearest tenth the value of angle is 40.2

Therefore measure of ∠FGE is 40.2° .

8 0
3 years ago
How many solutions does 2x+2=x+x+2 have
Korolek [52]

Answer:

The system has infinite solutions

Step-by-step explanation:

IF we re arrange the terms, we will find the following identity:

0=0

Meaning that any variable you find will not affect the equation 0=0,

7 0
3 years ago
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