MATHEMATICS HIGH SCHOOL

The Ross family and the Russell family each used their sprinklers last summer. The water output rate for the Ross family's sprinkler was 35L per hour. The water output rate for the Russell family's sprinkler was 30L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 1725L. How long was each sprinkler used?

Answers

Answer 1
Answer:

Answer:

Ross = 15 hours

Russel = 40 hours

Step-by-step explanation:

Let Ross have used their sprinklers for x hours

Let Russell  have used their sprinklers for y hours

Together they used 55 hours

x+y = 55 hours

The output of Ross is 35 liters per hour and Russell is 30 liters per hour for a total of 1725

35x + 30y = 1725

Multiply the first equation by -30

-30(x+y=55)

-30x -30y = -1650

Add this to the second equation to eliminate y

-30x -30y = -1650

35x + 30y = 1725

-----------------------------

5x =75

Divide each side by 5

x = 15

Now find y

x+y = 55

y = 55-15

y = 40

Related Questions

All rectangles are _____. A. rhombuses B. quadrilaterals C. parallelograms D. squares
What is the lateral surface area of a cube with side length 9 cm?
Explain how to do this please ​
Sailor ran 3/4 mile in 9 minutes express her speed as a unit rate, in miles per hour
15. (a) Work out the value of 25-3

A book shows an enlarged photo of a carpenter bee. A carpenter bee is about 6×10^-3 m long. The photo is 13.5 cm long. About how many times as long as a carpenter bee is the photo?

Answers

 A ratio compares values. A ratio says how much of one thing there is compared to another thing. We do as follows:

length of photo/ length of a carpenter bee = ratio of the two
13.5 / 6x10^-3 = 2250

Therefore, the photo is 2250 longer than the carpenter bee.

2. The height of one solid limestone square pyramid is 24 m. A similar solid limestone square pyramid has a height of 30 m. The volume of the larger pyramid is 16,000 m3. Determine each of the following, showing all your work and reasoning. The ratio of the area of the base of the smaller pyramid to the larger pyramid (c) Ratio of the volume of the smaller pyramid to the larger (d) The volume of the smaller pyramidPlease help...LOTS OF POINTS

Answers

If you change the ratio ( doesn't affect V) , The pyramid will still be the same because when the ratio is change , moved , or becomes the independent  variable nothing ever in a situation like this will change or alter in the experiment.

so i believe that the answer is C.) Smaller.

I really hope that this helps

  
i think it is c because it says that the is larger but its not the volume its the ratio so change the ratio to a volume and the volume is still bigger than the ratio given 

Hopes this helps

A piece of ribbon that is 8 and 1/3 yards long will be cut into 5 equal pieces to make bows. How much ribbon will be used foe each bow?

Answers

Answer:

yes

Step-by-step explanation:

Answer: 1 2/3 yards for each bow

Step-by-step explanation:

8 1/3 divided by 5 = 25/3 * 1/5 = 5/3

If m∠3 = 54°, find the measure of each missing angle.

Answers

Uisbg multiple line and angle theorems, the values of each of the 14 angles are given.

Using the geometry theorems :

1.)

∠2 is a right angle = 90°

2.)

∠1 + ∠2 + ∠3 = 180° (sum of angle on a straight line)

90 + ∠1 + 54° = 180°

∠1 = (180 - 144) = 36°

(∠2 and ∠5) ; (∠3 and ∠6) ; (∠1 and ∠4) are vertically opposite ;

Hence,

∠4 = 36°

∠5 = 90°

∠6 = 54°

∠3 = ∠8 = 54° (corresponding angles)

∠9 + ∠8 = 180° (sum of angle on a straight line)

∠9 = (180 - 54) =126°

∠7 = ∠9 = 126° (vertically opposite angles)

∠8 = ∠10 = 54° (vertically opposite angles)

∠4 = ∠13 = 36° (corresponding angles )

∠12 + ∠13 = 180° (sum of angle on a straight line)

∠12 = (180 - 36) =126°

∠11 = ∠13 = 36° (vertically opposite angles)

∠12 = ∠14 = 126° (vertically opposite angles)

Learn more about angles :brainly.com/question/18868430?referrer=searchResults

Final answer:

To find the measure of the missing angles, use the fact that the sum of angles in a triangle is 180 degrees. Substitute the given value and solve for the missing angles. The measure of each missing angle is 126 degrees.

Explanation:

To find the measure of the missing angle, we can use the fact that the sum of angles in a triangle is 180 degrees. Since we know that m∠3 = 54°, and angles 1 and 2 are adjacent angles, we can use the equation:

m∠1 + m∠2 + m∠3 = 180

Substituting the given value for m∠3, we get:

m∠1 + m∠2 + 54 = 180

Now we can solve for the missing angles by rearranging the equation:

m∠1 + m∠2 = 180 - 54

m∠1 + m∠2 = 126

So, the measure of each missing angle is 126 degrees.

Learn more about Triangles here:

brainly.com/question/29083884

#SPJ3

Water coming out from a fountain is modeled by the function f(x)= -x^2+5x+4 where f(x) represents the height, in feet, of the water from the fountain at different times x, in seconds. What does the average rate of change of f(x) from x=3 to x=5 represent?A. The water falls down with an average speed of 3 ft./s from three seconds to five seconds.
B. The water falls down with an average speed of 5 ft./s from three seconds to five seconds.
C. The water travels an average distance of 3 feet from 3 seconds to 5 seconds.
D. The water travels an average distance of 5 feet from 3 seconds to 5 seconds.

Answers

Hello,

Answer A
(6 ft in 2s)

Factor completely 5a2 + b.
Prime
a(5a + b)
b(5a2)
ab(5a + 1)

Answers

\sf {5a^2+b~is~\boxed{\bf{prime}}}

It is prime because it has no common factors in 5a^2 and b.

The answer is A.

Answer:

Option A: Prime

Step-by-step explanation:
Other Questions
the environmental protection agency has determined that safe drinking water should contain no more than 1.3 milligrams per liter (mg/l) of copper, on average. to test water from a new source, you collect water in small bottles at each of 30 randomly selected locations. the mean copper content of your bottles is 1.36 mg/l and the standard deviation is 0.18 mg/l. you perform a test of
Which angle is adjacent to ZCGD?BGсDE
Select the correct answer.What can be inferred from the passage?A. Miranda will ask Mr. Giuffreda for an extension.B. Miranda will no longer be Mrs. Brody's assistant.C. Miranda usually does a lot better in English class.D. Miranda did not finish her book report on time.
7. Find the circumference of a circle if the area is 300 square centimeters. A. 84.74 cmB. 9.77 cmC. 56.25 cmD. 61.38 cm