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Gelneren [198K]
3 years ago
6

Jordan and Jake each work during the summer. Jordan earns $9 per hour at her job. Jordan also gets a $10 weekly allowance. Jorda

n displayed her earnings in a table.
Hours: 0 1 2 3 4 5 6 7 8

Earnings: 10 19 28 37 46 55 64 73 82

Jake earns $6.50 per hour at his job. Jake also gets a $15 weekly allowance. Jake displayed his earnings in a graph. How many hours will it take for Jordan and Jake to earn the same amount of money?
I am desperate!!!
Mathematics
1 answer:
Arlecino [84]3 years ago
8 0
0 hours-
Jordan: 10
Jake: 15

1-
19
21.50

2-
28
28

They will have made the same amount of money after they have completed 2 hours of work each.

--------------------------

Another easy way to find the answer is to put the two into expressions and combine into an equation:

Jordan: 9x+10
Jake: 6.5x+15

Put into one equation:
9x+10=6.5x+15

Solve:

9x+10=6.5x+15

Step 1) Subtract 6.5x from both sides:

2.5x+10=15

Step 2) Subtract 10 from both sides:

2.5x=5

Step 3) Divide by 2.5 on both sides:

x=2

Step 4) Your answer:

You get the same 2 (hours)

If you need the value (Like how much money they made) then just plug in your x value to both expressions.

9x+10=
18+10=
28

6.5x+15=
13+15=
28
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Answer:

f_x(x,y,z)=4\sin (y-z)

f_x(x,y,z)=4x\cos (y-z)

f_z(x,y,z)=-4x\cos (y-z)

Step-by-step explanation:

The given function is

f(x,y,z)=4x\sin (y-z)

We need to find first partial derivatives of the function.

Differentiate partially w.r.t. x and y, z are constants.

f_x(x,y,z)=4(1)\sin (y-z)

f_x(x,y,z)=4\sin (y-z)

Differentiate partially w.r.t. y and x, z are constants.

f_y(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial y}(y-z)

f_y(x,y,z)=4x\cos (y-z)

Differentiate partially w.r.t. z and x, y are constants.

f_z(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial z}(y-z)

f_z(x,y,z)=4x\cos (y-z)(-1)

f_z(x,y,z)=-4x\cos (y-z)

Therefore, the first partial derivatives of the function are f_x(x,y,z)=4\sin (y-z), f_x(x,y,z)=4x\cos (y-z)\text{ and }f_z(x,y,z)=-4x\cos (y-z).

4 0
3 years ago
Multiples that are shared by two or more numbers are_______
Elanso [62]

Answer:

it is called Common Multiples

3 0
3 years ago
Read 2 more answers
Help me from 6-9 (geometry)
elena55 [62]

Answer:

6) Two angles are called supplementary when their measures add up to 180 degrees. For example, two right angles are supplementary angles.

7) When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.

8) you have to plot the points on the graph and draw a line and label it with L at one point and M at another point.

9) x = 20

m < A = 65

m < B = 25

Step-by-step explanation:

9)

3x + 5 + 2x - 15 = 90

3x + 2x + 5 - 15 = 90

5x - 10 = 90

5x - 10 + 10 = 90 + 10

5x = 100

5 / 5x = 100 / 5

x = 20

A = 3x + 5

A = 3(20) + 5

A = 60 + 5

A = 65

B = 2x - 15

B = 2(20) - 15

B = 40 - 15

B = 25

8 0
3 years ago
Two friends are reading the same book. Amy can read 3 pages per minute, and she has already read 9 pages. Sam, who has a reading
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Sam:  (2 pages/min)(x min)  + 47 pages

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At a resting pulse rate of 75 beats per minute, the human heart typically pumps about 73 mL of blood per beat. Blood has a densi
Kaylis [27]

Answer:

There is approximately 5.475 liters of blood in the body.

Step-by-step explanation:

At a resting pulse rate of 75 beats per minute, the human heart typically pumps about 73 ml of blood per beat.

73 ml in liters = 73\times0.001=0.073 liters

Now, 75 beats/min x  0.073 liters/beat  = 5.475 liters/min

And 5.475 liters/min x 1 min/body = 5.475 liters/body

Hence, there is approximately 5.475 liters of blood in the body.

7 0
3 years ago
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