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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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How do you find the slope intercept form for Y=10-(4x+8)
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3 0
3 years ago
Given:SW is diameter of circleR<br><br> m\overarc ST = 30\degree<br><br> Prove: RTW = 15\degree
Ostrovityanka [42]

Check the picture below.

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2 years ago
A. Does the relationship of weeks passed and total number of followers represent a linear function? (0.5 points) B. What is the
vodomira [7]

The terms "linear function" in mathematics apply to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

a) Yes it does, because the graph of their relationship is a Straight line

b) Independent variables are variables whose variation does not depend on another. Number of works does not depend on followers. Therefore, it is independent

C)number of followers depend on the number of locks passing. It is dependent.

D) Slope = (Y₂- Y₁)/(x₂-x₁) = (100-82)/ (3-0) =  18/3 = 6

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1 year ago
Some body can help me with a geometric mean maze
Mars2501 [29]

Answer:

See explanation

Step-by-step explanation:

Theorem 1: The length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the hypotenuse.

Theorem 2: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.

1. Start point: By the 1st theorem,

x^2=25\cdot (49-25)=25\cdot 24=5^2\cdot 2^2\cdot 6\Rightarrow x=5\cdot 2\cdot \sqrt{6}=10\sqrt{6}.

2. South-East point from the Start: By the 2nd theorem,

x^2=40\cdot (40+5)=4\cdot 5\cdot 2\cdot 9\cdot 5\Rightarrow x=2\cdot 5\cdot 3\cdot \sqrt{2}=30\sqrt{2}.

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5. West point from the previous: By the 2nd theorem,

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6. North point from the previous: By the 1st theorem,

x^2=48\cdot 6=6\cdot 4\cdot 2\cdot 6\Rightarrow x=6\cdot 2\cdot \sqrt{2}=12\sqrt{2}.

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x^2=12.5\cdot (12.5+13.5)=12.5\cdot 26=25\cdot 13\Rightarrow x=5\sqrt{13}.

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11. East point from the previous: By the 2nd theorem,

20^2=32\cdot (32-x)\Rightarrow 32-x=12.5,\ x=19.5.

12. South-east point from the previous: By the 2nd theorem,

18^2=x\cdot 21.6\Rightarrow x=15.

13. North point=The end.

6 0
3 years ago
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