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Margarita [4]
3 years ago
13

The Garcia family and the Lee family each used their sprinklers last summer. The Garcia family's sprinkler was used for 40  hour

s. The Lee family's sprinkler was used for 20  hours. There was a combined total output of 2000L  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:
slega [8]3 years ago
7 0

Answer:

Lee= 20 L per hour.

Garcia = 40L per hour

Step-by-step explanation:

This formula is:

40x + 20y = 2000L

with if being known that x + y = 60.

In this x is the rate for Garcia and y is the rate for Lee.

You can also say that x = 60 - y, which you can fill in.

40 * (60-y) + 20y = 2000

2400 - 40y + 20y = 2000

-20y = -400

y = 20 L per hour.

So x = 60 - 20 = 40L per hour

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Find the missing term (x^12)^5 x (x^-2)^9 x what =(x^40)^5
Annette [7]

Answer:

x^{158}

Step-by-step explanation:

We are given,

(x^{12} )^{5} \times (x^{-2} )^{9} \times y = (x^{40} )^{5}.

It is required to find the value of y.

Now, on simplifying above equation, we get,

x^{60} \times x^{-18} \times y = x^{200}

i.e. x^{42} \times y = x^{200}

i.e. y = x^{200} \times x^{-42}

i.e. y = x^{158}

Hence, the missing term is x^{158}.

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3 years ago
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If f is a function that f(f(x)) = 2x² + 1, which is the value of f(f(f(f(3)))? Please help!
Sloan [31]

f(f(3))=2\cdot3^2+1=19\\f(f(f(f(3))))=2\cdot19^2+1=723

5 0
3 years ago
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Jlenok [28]

Answer:

19 degrees

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You know the sum of the interior angles of a triangle is 180 degrees.

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By solving for x, you get the answer:

123 + 3x = 180

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Instructions: Match each equations with correct type of event.
Mazyrski [523]

The question is incomplete. Below you will find the missing contents.

The correct match of events with order are,

  • P(A)P(B|A) - Dependent event
  • P(A)+P(B) - Mutually exclusive events
  • P(A and B)/P(A) - Conditional events
  • P(A) . P(B) - Independent Events
  • P(A)+P(B) -P(A and B) - not Mutually exclusive events.

When two events A and B are independent then,

P(A and B)=P(A).P(B)

when A and B are dependent events then,

P(A and B) = P(A) . P(B|A)

When two events A and B are mutually exclusive events then,

P(A and B)=0

So, P(A or B) = P(A) + P(B) - P(A and B) = P(A) + P(B)

P(A) + P(B) = P(A or B)

When events are not mutually exclusive then the general relation is,

P(A or B) = P(A) + P(B) - P(A and B)

If the probability of the event B conditioned by A is given by,

\mathrm{P(B|A)=\frac{P(A~and~B)}{P(A)}}

Hence the correct match are -

  • \mathrm{P(A)P(B|A)\rightarrow} Dependent event
  • \mathrm{P(A)+P(B)}\rightarrow Mutually exclusive events
  • \mathrm{\frac{P(A ~and ~B)}{P(A)}\rightarrow} Conditional events
  • \mathrm{P(A) . P(B)\rightarrow} Independent Events
  • \mathrm{P(A)+P(B) -P(A ~and ~B)\rightarrow} not Mutually exclusive events.

Learn more about Probability of Events here -

brainly.com/question/79654680

#SPJ10

5 0
1 year ago
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