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
const2013 [10]
3 years ago
9

The Chang family and the Davis family each used their sprinklers last summer. The water output rate for the Chang family's sprin

kler was 15 L per hour. The water output rate for the Davis family's sprinkler was 40 L per hour. The families used their sprinklers for a combined total of 60 hours, resulting in a total water output of 1775 L. How long was each sprinkler used?
Mathematics
1 answer:
denis-greek [22]3 years ago
4 0

Answer:

The Chang family = 25 hours, The Davis  family = 35 hours

Step-by-step explanation:

The given information is as follow

The Chang family = 15L/h

The Davis family = 40L/h

Total time for both sprinklers = 60 hours

Total water output = 1775 L

From this information we can derive a set of simultaneous equations to help us find our answer.

We need to find the following information

The time for the Chang family, taken as t1

The time for the Davis family, taken as t2

From this we derive the following set of equations

1) t1 + t2 = 60 hours ----- <em>(This is derived from the total time for both sprinklers)</em>

2) 15(t1) + 40(t2) = 1775 ---- <em>(This is derived from total water output based on time for each sprinkler)</em>

<em />

Solving these simultaneously we get following equation

t1 = 60 - t2 - <em>equation 1</em>

15(t1) + 40(t2) = 1775 - <em>equation 2</em>

15 (60 - t2) + 40(t2) = 1775 - <em>equation 3 (combining equation 1 & equation 2)</em>

       900 - 15(t2) + 40(t2) = 1775   -------- solving the equation 3

            25(t2) = 1775 - 900

                 <u>t2 = 35</u>

                 <u>t1 = 25</u>

You might be interested in
teds age is now four less than twice the age of his brother. The sum of their age is 50. what will be their ages three years fro
AnnyKZ [126]

Answer:

Sorrry i don't know about it

4 0
3 years ago
What is the value of X?
zhenek [66]
Tough sorry wish I could help u can’t too hard but I think it is equivalent to the other triangle so I think it’s 31? I THINK
7 0
3 years ago
Read 2 more answers
If the polygon is translated 4 units down and 5 units right, what will the coordinates of the new image be? Use prime notation i
steposvetlana [31]

Using prime notation, the new coordinates after translation are;

<em>New coordinates;</em>

A': (-1, 1)

B': (-1, -2)  

C': (3, -2)

D': (3, 2)

  • From the attached image, we can see that the coordinates are;

A(-6, 5)

B(-6, 2)

C(-2, 2)

D(-2, 6)

  • Translating the polygon down by x units means the value of the y-coordinates will reduce by 4.
  • In a similar fashion, translation 5 units to the right means that the x-coordinates would increase by 5.

  • Applying these translation numbers to our coordinates, we will now have;

        A(-6 + 5, 5 - 4)

        B(-6 + 5, 2 - 4)

        C(-2 + 5, 2 - 4)

        D(-2 + 5, 6 - 4)

Simplifying each of them gives us the new coordinates as;

A: (-1, 1)

B: (-1, -2)  

C: (3, -2)

D: (3, 2)

Read more at; brainly.com/question/4726090

7 0
2 years ago
80 dollars for 16 tickets written as a unit rate, what is it?
shepuryov [24]

Answer:

5 dollars a ticket. Divide 80/16 to get tour answer.

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Is 9.4 rational or irrational :p, please help
densk [106]

Answer:

i think its rational.  

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Can someone answer this question, and give me the work?
    12·1 answer
  • What is the solution to the equation below? Round to two decimal places. 2*in x=6.8
    7·1 answer
  • What do two plus two equal
    7·2 answers
  • 4. Compare the function f(x) = –x^2 – 4x + 3 with the function g(x), graphed here. Which function has a greater absolute maximum
    15·1 answer
  • Write the missing numbers to show equivalent fractions for some common numbers used as benchmarks
    6·2 answers
  • 1.2.2 <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B2%20%2B%20%20%5Csqrt%7B3%7D%20%7D%20" id="TexFormula1" title=" \
    7·1 answer
  • AB has endpoints A(-9, 14) and B(21,5). Find the coordinates of midpoint M.
    9·1 answer
  • If JL = 5x + 2. find JL.
    9·2 answers
  • Simplify your answer and write it as a proper fraction,improper fraction,or interger
    9·1 answer
  • The results of a color spinner experiment are shown in the table. Consider the experimental probability of the spinner landing o
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!