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
vlada-n [284]
3 years ago
7

james' daily wage was $5 more than Davis's. Although James worked 3 days less than David, they earned $180 each. Find the number

of days James worked.
Mathematics
1 answer:
zalisa [80]3 years ago
8 0

Answer: 9 days

Step-by-step explanation:

Let x represent James' daily wage

James' daily wage was $5 more than Davis's. It means that Davis's daily wage will be $(x-5)

Let y represent number of days that James worked. James worked 3 days less than David. It means that the number of days that Davis worked would be (y + 3) days

they earned $180 each. Total amount of money earned by either of of them is the product of wage and the number of days worked.

Since James earned $180, then

180 = xy - - - - - - - - 1

Since Davis also earned $180, then

180 = (x - 5)(y + 3)

xy +3x -5y -15 = 180 - - - - - - - - 2

Substituting xy = 180 into equation 2

It becomes

180 + 3x - 5y -15 = 180

3x - 5y = 180 - 180 + 15

3x - 5y = 15 - - - - - - -3

From equation 1, x = 180/y

Substituting x = 180/y into equation 3, it becomes

3 × 180/y - 5y = 15

540 - 5y^2 = 15y

5y^2 + 15y -540 = 0

Dividing through by 5

y^2 + 3y -108 = 0

y^2 + 12y - 9y -108 = 0

y(y + 12) - 9(y + 12) = 0

y + 12 = 0 or y - 9 = 0

y = -12 or y = 9

Since the number of days cannot be negative, then,

Number of days that James worked will be 9 days

You might be interested in
How do I do this problem??
Crank
Expanding 8x^3, we multiply 8*8 and x^3 by x^3 to get 64x^6. Since we know that the cube root of 64 is 4, we can separate that. Next, since you add exponents while multiplying, 6/3 is the exponent for the cube root of x^6=x^2. Therefore, your answer is 4x^2
5 0
3 years ago
The ordered pairs show (height in inches, men’s shoe size). (70, 9.5) (67, 8) (69, 9) (72, 11.5) (68, 7.5) (60, 6) (71, 11) Use
erma4kov [3.2K]

Answer: A

Step-by-step explanation:

I just answered this question on edg

4 1
3 years ago
Read 2 more answers
3x^3-24x^2 factor completley
svetoff [14.1K]
3x^3-24x^2=> this is the expression, find what they have in common: 3 and x^2
3x^2(x-8)=> so we took out 3x^2

I hope this helps you:)!
7 0
3 years ago
Read 2 more answers
Can someone pls help
Cloud [144]

Answer:

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Angle b and Angle g are known as alternate ___________ angles.
Afina-wow [57]
Alternate exterior angles because the are OUTSIDE of the parallel lines
4 0
3 years ago
Read 2 more answers
Other questions:
  • Sarah has an older sister and a younger sister. Her older sister is one year more than twice Sarah's age. Sarah younger sister i
    8·1 answer
  • If you flip a fair coin 4 times, what is the probability that you will get exactly 2 tails
    5·1 answer
  • What ia the area of a quadrilateral
    10·2 answers
  • The sum of a number and two times a smaller number is 62. Three times the bigger number exceeds the smaller number by 116. The b
    7·1 answer
  • A brick is in the shape of a rectangular prism with a length of 6 inches, a width of 3 inches, and a height of 5.5 inches. The b
    10·1 answer
  • Your middle school is having a carnival. Admission into the carnival is $8, and each game inside the carnival costs $0.50.
    14·1 answer
  • Can someone help I’m stuck
    9·2 answers
  • Simplify the expression<br><br><br> 2(6x + 3)
    12·1 answer
  • How is the answer 100.48 ?? Someone explain I'm confused
    11·1 answer
  • Is the relationship linear, exponential, or neither?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!