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
TEA [102]
2 years ago
13

the morgan famili and the alexander family each ised their sprinkles last summer. the water output was 20. l per hour. The water

output rate for the Alexander family ‘s sprinkler was 40 L per hour. The families used their sprinklers for a combined total of 50 hours, resulting in total water output of 1400 L. How long was each sprinkler used?
Mathematics
1 answer:
erik [133]2 years ago
5 0

Answer:

number of hours  Alexander family ‘s sprinkler work = 20

number of hours  Morgan family ‘s sprinkler work = 30

Step-by-step explanation:

Given in the question,

water output rate for the Alexander family ‘s sprinkler = 40 L  

water output rate for the Morgan family ‘s sprinkler = 20 L

Suppose, number of hours  Alexander family ‘s sprinkler work = x

Suppose, number of hours  Morgan family ‘s sprinkler work = y

Equation1

x + y = 50

Equation 2

40x + 20y = 1400

x = 50 - y

Put this value of x in equation 2

40(50-y) + 20y = 1400

2000 - 40y + 20y = 1400

-20y = 1400 - 2000

-20y = -600

y = 30

Put this value of y in equation 1 to get the value of x

x + 30 = 50

x = 50 - 30

x = 20

 

You might be interested in
If 2k - 3 = 9 (k+7)-3 then k is ????
m_a_m_a [10]

Answer:

k= -9

Step-by-step explanation:

2k-3=9k+63-3     [expand the 9(k+7) first]

2k-9k=63-3+3     [put the like terms together]

-7k=63                 [do the simple math]

k= 63 ÷ by -7

k=-9  

4 0
2 years ago
Read 2 more answers
Please help me ive been stuck on this question for days! Thank you
Zielflug [23.3K]
Okay, so this is basically telling you that there is no solution. You don't have to worry about there being one. You just have to justify (or explain) why there isn't one.

Basically, neither y or x is equal to anything. You couldn't make x equal to a value in y because x and y are both together in the equation and equal to numbers. 

We can always move a factor to the other side. So,

x-2y= -8

Add 2y to the other side.

x= -8+2y

Now, plug in -8+2y as x.

3(-8+2y)- 6y=-12

-24+6y-6y= -12

The 6y's cancel out. So, we can't figure out what y is.

-24=-12 <- no y.

These two lines are 
parallel. They have direct proportion in each other. That is why there is no solution because the lines never cross. Parallel lines do not cross. 

I hope this helps! 
~kaikers


6 0
3 years ago
The annual snowfall in city A is 58.7 inches. This is 12.5 inches more than six times the snowfall in city B. Find the annual sn
Lelechka [254]
The annual snowfall for city B is 7.7 inches. 
Since it is 12.5 inches more: 58.7 - 12.5 = 46.2
Since 46.2 is 6 times that of city B: 46.2 / 6 = 7.7


3 0
2 years ago
Read 2 more answers
Jika sin x = p, dengan x tumpul, maka cos(x + 60) =​
Novay_Z [31]

Menjawab:

[(√1-p²) -3√p] / 2

Penjelasan langkah demi langkah:

Dari identitas trigonometri, pemuaiannya benar:

Cos (A + B) = cosAcosB-sinAsinB

Menerapkan ini dalam memperluas cos (x + 60).

cos (x + 60) = cosxcos60 - sinxsin60

Jika sinx = p = berlawanan / sisi miring

opp = p, hyp = 1

adj² = 1²-p²

adj = √1-p²

Cos (x) = adj / hyp = √1-p² / 1

Cos (x) = √1-p²

Cos60 = 1/2 dan sin60 = √3 / 2

Mengganti nilai-nilai ini ke dalam rumus

cos (x + 60) = cosxcos60 - sinxsin60

cos (x + 60) = √1-p² (1/2) - p (√3 / 2)

cos (x + 60) = (√1-p²) / 2 - √3p / 2

Temukan KPK tersebut

cos (x + 60) = [(√1-p²) -3√p] / 2

Oleh karena itu cos (x + 60) = [(√1-p²) -3√p] / 2

5 0
3 years ago
Adam is n years old . Mary Beth is 3n + 4 years old . If Adam is 9 years old, how old is Mary Beth?
Rzqust [24]

Answer: Brailiest plz?

31

Step-by-step explanation:

(3)(9)+4=31

7 0
3 years ago
Other questions:
  • Ryan is making small meat loaves. Eaclh small meat loaf uses 3/4 of meat. How much meat does Ryan need to make 8 small meat loav
    7·1 answer
  • may runs 10/4 miles everyday after school. Beth says that she runs farther than May every day because she runs 5/2 miles everyda
    8·1 answer
  • Solve the problem.
    14·1 answer
  • Someone please help it’s dueee today!
    7·1 answer
  • kennedy has 12 apples. together, she and Ariana have 42 apples. which diagram best represents the situation where A is the amoun
    9·1 answer
  • What is the linear equation that has slope of 5 and pass through the point (-1, -3)?
    10·1 answer
  • How many groups of 13 inch are in 34 inch?
    8·1 answer
  • 33. A labourer is engaged for 20 days on the condition that he will receive 120 for each day he
    12·1 answer
  • A vector in standard position has its terminal point at (–10, –4). What is the approximate direction angle of the vector?
    10·2 answers
  • The macro policy choices made by one nation seldom, if ever, affect the economies of that nation's trading partners because inte
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!