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timama [110]
2 years ago
5

The Jenkins family and the Moore family each used their sprinklers last summer. The water output rate for the Jenkins family's s

prinkler was per hour. The water output rate for the Moore family's sprinkler was per hour. The families used their sprinklers for a combined total of hours, resulting in a total water output of . How long was each sprinkler used?
Advanced Placement (AP)
1 answer:
Reptile [31]2 years ago
3 0

How long was each sprinkler used is 30 hours.

<h3>How long was each sprinkler used </h3>

Let x represent  how long each sprinkler was used

Hence:

40(x)+15(55-x)=1575

40x+825-15x=1575

Collect like terms

40x+-15x=1575-825

25x=750

Divide both side by 25x

x=750/25

x=30 hours

Therefore the Jenkins used the sprinklers for 30 hours while Green's used it  for 25.

The complete question is:

The Jenkins family and the Moore family each used their sprinklers last summer. The water output rate for the Jenkins family's sprinkler was 40l per hour. The water output rate for the Moore family's sprinkler was per 15l hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total water output 1575 of . How long was each sprinkler used?

Learn more about  how long was each sprinkler used here:brainly.com/question/13921631

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Huge help needed ! im lost and need an explanation to the correct answer.
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Answer:

m<MON = 100°

Explanation:

Given:

Area of shaded sector LOM = 2π cm²

NL = 6 cm

Required:

m<MON

Solution:

m<MON = 180° - m<LOM (angles in a straight line)

We don't know m<LOM. Therefore, let's find m<LOM.

Area of a sector = θ/360 × πr²

Area of sector LOM = 2π cm²

r = 3 cm

θ = m<LOM = ?

Plug in the values

2π = m<LOM/360 × π × 3²

2π = m<LOM/360 × 9π

2π = m<LOM × 9π/360

2π = m<LOM × π/40

Multiply both sides by 40

2π × 40 = m<LOM × π

80π = m<LOM × π

Divide both sides by π

80π/π = m<LOM

80 = m<LOM

m<LOM = 80°

✔️m<MON = 180° - m<LOM (angles in a straight line)

Substitute

m<MON = 180° - 80°

m<MON = 100°

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A microgenetic is much focused in time, providing multiple data sets in a short time to examine rapid evolution of a subject.

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