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scZoUnD [109]
3 years ago
14

The butler family and Clark family each used their sprinklers last summer. The butler family's sprinklers was used for 40 hours.

The Clark family's sprinkler was used for 30 hours. There was a combined total output of 2200L of water. What was the water output rate for each sprinkler if the sum of the two rates was 60l per hour?
Mathematics
1 answer:
sergiy2304 [10]3 years ago
5 0

Answer: the sprinkling rate of the butler family's sprinkler is 40L per hour

the sprinkling rate of the Clark family's sprinkler is 20L per hour

Step-by-step explanation:

Let x represent the sprinkling rate of the butler family's sprinkler.

Let y represent the sprinkling rate of the Clark family's sprinkler.

The butler family's sprinklers was used for 40 hours. The Clark family's sprinkler was used for 30 hours. There was a combined total output of 2200L of water. This means that

40x + 30y = 2200 - - - - - - - - - - -1

if the sum of the two rates was 60l per hour, it means that

x + y = 60

Substituting x = 60 - y into equation 1, it becomes

40(60 - y) + 30y = 2200

2400 - 40y + 30y = 2200

- 40y + 30y = 2200 - 2400

- 10y = - 200

y = - 200/ - 10

y = 20

Substituting y = 20 into x = 60 - y, it becomes

x = 60 - 20 = 40

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Step-by-step explanation:

−4x+5−13x+39=180

Step 1: Simplify both sides of the equation.

−4x+5−13x+39=180

−4x+5+−13x+39=180

(−4x+−13x)+(5+39)=180(Combine Like Terms)

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Step 2: Subtract 44 from both sides.

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Step 3: Divide both sides by -17.−17x

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2 years ago
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Montano1993 [528]

The volume and surface area of the pyramid will be 392 / 3 cubic units and 189 square units. Then the correct option is A.

The complete question is attached below.

<h3>What is the volume and surface area of the pyramid? </h3>

Suppose the base of the pyramid has length = L units, width = W units, slant height = K units, and the height of the pyramid is of H units.

Then the volume of the pyramid will be

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SA = 189 square units

Then the correct option is A.

More about the volume and surface area of the pyramid link is given below.

brainly.com/question/23302816

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