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
Vaselesa [24]
3 years ago
8

In one month, Juan worked 5 more hours than Carlito. Sara worked 3 times as many hours as Juan. Altogether they worked 80 hours

Mathematics
2 answers:
tamaranim1 [39]3 years ago
3 0

Answer:

The answer to your question is  a) C + J + S = 80

                                                     b) C = J + 5

                                                      c) S = 45 hours

Step-by-step explanation:

a) To represent the number of hours that they work together, just add the variables and equal them to 80.

            Carlito  +  Juan  +  Sara  = 80

               C + J + S = 80                                 Equation l

b) Juan worked 5 hours more than Carlito

              Juan = Carlito + 5

                  J = C  + 5                                     Equation ll

c) Hours worked by Sara

                  S = 3J                                          Equation lll

                  C = J - 5

Substitute equation ll and lll in equation l to find J

                J - 5 + J + 3J = 80

                5J = 80 - 5

                5J = 75

                  J = 75/5

                  J = 15

-Find S

                S = 3(15)

                S = 45 hours

mezya [45]3 years ago
3 0

Answer:

Step-by-step explanation:

Let C represent the number of hours that Carlito worked.

Let J represent the number of hours that Juan worked.

Let S represent the number of hours that Sara worked.

1) The equation that would represent the fact that altogether they worked 80 hours is

C + J + S = 80

2) The equation that would represent the fact that Juan worked 5 more hours than Carlito is

J = C + 5

3) Sara worked 3 times as many hours as Juan. It means that

S = 3J

Substituting J = C + 5 into S = 3J, it becomes

S = 3(C + 5)

S = 3C + 15

Substituting S = 3C + 15 and

J = C + 5 into C + J + S = 80, it becomes

C + C + 5 + 3C + 15 = 80

C + C + 3C + 5 + 15 = 80

5C + 20 = 80

5C = 80 - 20

5C = 60

C = 60/5

C = 12

S = 3C + 15 = 3 × 12 + 15

S = 51 hours

Sara worked for 51 hours

You might be interested in
87.5% of what number is 49?
kozerog [31]
Answer=56

87.5%*y=49
.875y=49
____   ___
.875    .875
divide both sides by .875
y=56


7 0
3 years ago
What is an<br> equation of the line that passes through the points (-3,8) and (4,1)?
GuDViN [60]

Answer: y= -1x + 5

Step-by-step explanation:

(-3,8) ( 4,1)

8-1= 7

-3-4 = -7

7/-7 = -1  so the slope is -1   so we will use the formula y=mx+b to find the y-intercept

8= -1(-3) + b

8= 3 + b

-3   -3

b= 5  so the y intercept is 5 now we will write the equation like this y= -1x + 5

6 0
3 years ago
On Friday nights the local diner serves three main entrees, each with a choice of vegetable. The entrees are beef, chicken, and
Vlad [161]
C. chicken, spinach

(1 entree and 1 vegetable)
5 0
3 years ago
Solve for x,<br> m-3x=2x+p
just olya [345]
<span>m-3x=2x+p
m-x=p (- 2x on both sides)
-x=p-m (- m on both sides)
answer: x=-p+m (divide -1 on both side)

</span>
5 0
3 years ago
The stock market dropped 220 points on Monday. It lost another 48 points on Tuesday, and on Wednesday, it gained 96 points. What
Leona [35]

Answer: 48 points gained in those 3 days.

Subtract 220 with 48, then add 96. Last step would be subtracting 220 with the amount they have now in those 3 days to find how much points the stock market gained in those 3 days.

Subtract 220-48.It‘ll be 172.

Add 172 with 96. 172+96=268.

Subtract 268 with how much points the stock market had 3 days ago. 268-220. So it would be about 48 points gained.

7 0
3 years ago
Other questions:
  • Jodi favorite clothes include 4 t-shirts, three pairs of jeans, and 2 pairs of sandals. How may days in a row can she wear a dif
    14·2 answers
  • PLEASE HELP ITS A LOT OF POINTS I NEED HELL WITH 1-11
    10·1 answer
  • A person is standing \(40\) ft from a light post and can see the top of the light at a \(35^\circ\) angle of elevation. The pers
    9·1 answer
  • Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees
    13·1 answer
  • Find the derivative of f(y)=9tan(y)-\sqrt{y}/4-10/y^5\sqrt{y}[/tex]
    10·1 answer
  • Answer this question
    11·1 answer
  • I will give u 40 points , this is due by 9 am so please
    5·1 answer
  • Irina has 6 tubs yogurt. She wants to scoop it all into bowls. Each bowls holds 1/4 tub of yogurt. Which division equation can b
    8·2 answers
  • martin reads 19 pages of a novel in 12 minutes. complete the proportion and use it to find x, the number of pages he reads in 42
    6·1 answer
  • The Wellbuilt Company produces two types of wood chippers, economy and deluxe. The deluxe model requires 3 hours to assemble and
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!