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lapo4ka [179]
3 years ago
10

A collection of nickels, dimes, and quarters consist of 18 18 coins with a total of $ 2.05 $2.05. if the number of dimes is equa

l to the number of nickels, find the number of each type of coins.
Mathematics
1 answer:
ladessa [460]3 years ago
6 0
The first thing we must do for this case is to define variables.
 We have then:
 x = the number of nickels
 y = the number of dimes
 z = the number of quarters
 We write the system of equations:
 0.05x + 0.1y + 0.25z = 2.05
 x + y + z = 18
 x = y
 Solving the system we have:
 x = 7
 y = 7
 z = 4
 Answer:
 
nickels = 7
 
dimes = 7
 
quarters = 4
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Nina can type 124 words in 4 minutes.at this rate how many words can nina type in an hour
Ludmilka [50]

Answer:

<em>1,860</em>

Step-by-step explanation:

FIRST:

we divide 124 by 4 because in 4 minutes he can type 124 words, and we need to figure out how many he can type in a minute.

124 divided by 4 is 31. (they can type 31 wpm)

NEXT: now we know they can type 31 wpm, we need to multiply that number by 60 because there are 60 minutes in an hour.

31 x 60 = 1,860

therefore, they can type 1860 words per hour

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3 years ago
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Mashcka [7]

Answer:

This means that the coach should have the team going for the 2 point shot. There is a 36% probability of making the 2 point shot and winning overtime.

Step-by-step explanation:

We have these following probabilities:

A 60% probability of tying the game on a 2 point shot. In this case, the game goes to overtime, in which the team has a 60% probability of winning.

A 30% probability of making the 3 point shot and winning.

What should the coach do, go for the 2 point shot or the 3 point shot?

In which case the team has a higher probability of winning?

The team has:

A 60% probability of tying the game on a 2 point shot. In this case, the game goes to overtime, in which the team has a 60% probability of winning. So, going for the 2 point shot, the team has a 0.6*0.6 = 0.36 = 36% probability of winning.

Going for the 3 point shot, the team has a 30% probability of winning.

This means that the coach should have the team going for the 2 point shot. There is a 36% probability of making the 2 point shot and winning overtime.

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erastova [34]

Answer:

This should be parallel.

Step-by-step explanation:

Two lines are said to be parallel only if their slope matches. They are said to be perpendicular only if the slopes are negative reciprocals.

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2y-6=3x+4 turns into 2y=3x+10 after adding 6 and into y=3/2x+5 after dividing the equation by 2. The slope for this equation is 3/2.

8y=12x+8 must be divided by 8 to be in slope intercept form. This equation becomes y=3/2x+1. Here the slope is also 3/2.

The slopes for each equation match making these lines parallel.

4 0
3 years ago
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Answer:
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Brooke is reading a 379-page book. She has already read 54 pages, and she can read 28 pages in an hour. If h represents the numb
Dafna1 [17]

Answer:

28x + 54 = 379 is what I came up with, though it would help to see the choises you have to select from if there are any.

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3 years ago
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