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MArishka [77]
3 years ago
6

Solve the system of equations by substituting 15x+31y=−3 x=−y+3 ​

Mathematics
2 answers:
alekssr [168]3 years ago
6 0

Answer:

x=6   y=-3

Step-by-step explanation:

Angelina_Jolie [31]3 years ago
4 0

Answer:

x=6

y=-3

Step-by-step explanation:

Substitute (-y + 3) for x in the first equation:

15(-y+3)+31y=-3

Expand:

45-15y+31y=-3

Simplify:

45+16y=-3

Subtact 45 from both sides:

16y=-48

Divide both sides by 16:

y=-3

Substitute -3 for y in either equation:

x=-(-3)+3

x=6

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A company has $6582 to give out in bonuses. An amount is to be given out equally to each of the 32 employees.
expeople1 [14]

A) His estimate is incorrect, since he has increased a figure to the amount that each employee would receive.

B) Rounded to the nearest dollar, each employee would receive $ 209.

Since a company has $ 6582 to give out in bonuses, and an amount is to be given out equally to each of the 32 employees, and A) a manager, Jake reasoned that since 32 goes into 64 twice, each employee will get about $ 2000 , to determine if his estimate is correct, and B) determine how much will each employee receive, rounded to the nearest whole dollar, the following calculations must be performed:

A)

  • 2000 x 32 = 64000
  • 200 x 32 = 6400

Therefore, his estimate is incorrect, since he has increased a figure to the amount that each employee would receive.

B)

  • 6582/32 = X
  • 208.68 = X

Therefore, rounded to the nearest dollar, each employee would receive $ 209.

Learn more about maths in brainly.com/question/8865479

4 0
2 years ago
The height of a desk is 11 inches shorter than the height of a chair. The height of the chair is 41 inches.
defon

Answer:

equation: y=41-11

answer: the desk is 30 inches.

Step-by-step explanation:

So if the desk is 11 inches SHORTER than the chair, and the height of the chair is 41 inches, all you need to do is subtract 11 from 41, which will give you a total of 30 inches.

Hope this helps!

8 0
3 years ago
Read 2 more answers
You deposit $400 in an account earning 2% interest compounded annually. How much will you have in the account in 20 years?
iVinArrow [24]

Answer:

Approximately $594.38

Step-by-step explanation:

Use the formula: y = a(1 + r)^t
a is the initial amount
r is the percent of interest in decimal form
t is the time in years
y is the money after t years

Substitute the values given in the problem into the equation:
400(1+0.02)^20
Use a calculator or solve manually
Around 594.38

6 0
2 years ago
A line passes through the point (4,1) and has a slope of 5/4
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Y=5/4x-4
5/4 is the slope but to pass through the point it needs to cross the y axis at -4

8 0
2 years ago
During the election for class president,
Y_Kistochka [10]

Answer:

100

Step-by-step explanation:

.6*500=300, .4*500=200

300-200=100

5 0
3 years ago
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