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Alex17521 [72]
3 years ago
14

In a writing competition, the first place winner receives ½ of the prize money. the second runner up receives ¼ of what the winn

er won. what was the total amount of prize money distributed if the winner receives $6,000?
Mathematics
1 answer:
DiKsa [7]3 years ago
3 0

The first thing we must do for this case is to define a variable.

We have then:

x: total amount of money

We now write the equation that models the problem.

For the winner we have:

\frac{1}{2}x = 6000

x = 2(6000)

x = 12000

Then, for the second place we have:

 \frac{1}{4}(6000) = 1500

Answer:

if the winner receives $6,000 the total amount of prize money distributed is: $12,000:

First place: $6,000

Second place: $1,500

Note: There is still money

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Step-by-step explanation:

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A particular automatic sprinkler system has two different types of activation devices for each 3 sprinkler head. One type has a
zmey [24]

Answer:

There is an 85% probability that the sprinkler head will be activated.

Step-by-step explanation:

We have these following probabilities:

50% of the first sprinkler being triggered

90% of the first sprinkler being reliable

50% of the second sprinkler being triggered

80% of the second sprinkler being reliable.

What is the probability that the sprinkler head will be activated?

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P_{2} is the probability of the second sprinkler being triggered and activated. So:

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6 0
3 years ago
1/4c= __pints please help me this is really hard
Studentka2010 [4]

Answer:

0.125.

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Step-by-step explanation:


4 0
3 years ago
3. Given the following similar triangles. Find the values of variables and label all the unknown angles
astraxan [27]

Answer:

The answer to your question is x = 6 and y = 9

Step-by-step explanation:

Data

AB = x                     DF = 18

BC = 5                     FE = 15

AC = 3                     DE = y

Process

1.- Find y

Use proportions to find it

                 DE/FE = AC/BC

Substitution

                 y/15 = 3/5

Solve for y

                  y = 15(3/5)

                  y = 45/5

                  y = 9

2.- Find x

                AB/DF = BC/FE

Substitution

                x/18 = 5/15

Solve for x

                x = 18(5/15)

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