1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ira Lisetskai [31]
3 years ago
14

(SHOW WORK NEED IT BY TONIGHT! )Write a system of equations to describe the situation below, solve using substitution, and fill

in the blanks.
Nick, a caterer, is investing some money in equipment and employees to help grow his business. Recently he spent $47 on equipment and hired a server who makes $15 per hour. Nick is hoping to make up these expense at the next job that is scheduled, which pays a base of $54 in addition to $14 per hour that the server works. In theory, this event could pay enough to cancel out Nick's expenditures. How much would the job pay? How long would the job have to be?



The expenditures and pay would both be $_ if the job lasted for _ hours.
Mathematics
1 answer:
earnstyle [38]3 years ago
8 0

Let X = the number of hours the server works.

The equation for the amount Nick spends is 15x + 47

The next job pays 14x + 54

Set the equations to equal and solve for x:

15x + 47 = 14x +54

Subtract 14x from both sides:

X + 47 = 54

Subtract 47 from both sides:

X = 7

Now replace x with 7 in the second equation:

14x + 54 = 14(7) + 54 = 98 +54 = 152

The job would pay $152 and be 7 hours long.

You might be interested in
PLEASE HELP!!!
rosijanka [135]

Answer:

Area of the other polygon = 4 in.²

Step-by-step explanation:

Area of the bigger polygon : Area of the smaller polygon = square of the side length of the bigger polygon : square of the corresponding side length of the smaller polygon

Let "x" represent the area of the smaller polygon

Thus, we have:

100/x = 20²/4²

100/x = 400/16

100/x = 25

Cross multiply

25x = 100

Divide both sides by 25

25x/25 = 100/25

x = 4

Area of the other polygon = 4 in.²

8 0
3 years ago
Find the measure of CDE. The measure of CDE equals a certain # of degrees.
vredina [299]

2x-13+3x-8+2x-3+2x-7+3x-1+2x+11+2x+9= (7-2)×180

16x-12=(7-2)×180

(7-2)×180 Work this out on a calculator

And then that answer=16x-12

Then you solve by adding 12 both sides and dividing by 16 both sides to get what x is.

7 0
3 years ago
You have 60.00 in your wallet and you want to buy some new cds. if the cd's are 11.00 each, what number of cd's x can you buy?wr
Dvinal [7]
You have $60.00.
Each CD (x) is $11.00.

11x ≤ 60
The number of CDs multiplied by the cost (11) has to be less than or equal to 60. 
x ≤ 5.45

You can only buy 5 CDs.
3 0
3 years ago
A measuring wheel is used to calculate the length of a path. The diameter of the wheel is 8 inches. If the wheel rotates 15 time
Oksi-84 [34.3K]
To fint the length first one must find circumference to do that we use the formula D*Pi (diameter times Pi. Diameter = 8 Pi is the constant of 3.1415
so. 8*3.1415 = appox 25.1327. cow that we have  circumference we should multiply by the amount of times the wheel rotates (15)
so. 15*251327 = appox 376.9911in now convert to feet. 12 in = 1 foot so divide by 12
so 376.9911 / 12 = about 31.4
round down to 31 feet
8 0
2 years ago
Multiply the polynomials(8x^2+6x+8)(6x-5)
HACTEHA [7]

Answer:

As i multiplied the answer i got is

48x^3-4x^2+18x-40

4 0
3 years ago
Other questions:
  • the cosine of an angle is the ratio of the length of the leg_______that angle to the length of the _________.?help please
    11·1 answer
  • An airliner carries 100 passengers and has doors with a height of 76 in. Heights of men are normally distributed with a mean of
    14·1 answer
  • A tree casts a shadow of 26 meters when the angle of elevation of the sun is 24°. find the height of the tree to the nearest me
    5·1 answer
  • Convert 86 degrees Fahrenheit to degrees Celsius?
    7·1 answer
  • Lynn wants to predict how much fuel her car will use based on its speed. She drove her car 100\,\text{km}100km100, start text, k
    15·2 answers
  • A highway connecting cities A and B is 600 miles long. At 7:00 AM, a delivery truck
    12·1 answer
  • Use the order of operations to simplify -5 + 3(7.2 - 3.2)
    13·1 answer
  • Average U.S. income is usually reported as
    7·1 answer
  • Please help ASAP will mark Brainlyist
    12·1 answer
  • A circle on the coordinate plane has a diameter
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!