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tiny-mole [99]
3 years ago
7

Jill had a certain amount of money. she spent 15$ downloading new songs. she has 2/5 of the original amount left. how much money

did she have originally?
Mathematics
1 answer:
Lostsunrise [7]3 years ago
5 0
Let's call the original amount of money x.

We know that she has 2/5 of the original amount left, and that this is equal to $15.

Therefore, 2/5(x) = 15, and x = $37.50.
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The lesser of the two solutions to x(x + 4) = 21 is:
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Answer:

Lesser is -7

Step-by-step explanation:

x(x+4) = 21

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A drawer contains quarters and nickels. There are 200 total coins valuing $30.00. Think about a system of equations that can be
Margaret [11]

Answer:

100

Step-by-step explanation:

Let n and q represent the numbers of nickels and quarters, respectively. A suitable system of equations is ...

  n + q = 200 . . . . . . there are 200 coins in the drawer

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For mixture problems like this, it is often a good idea to substitute for the variable representing the contributor of lower value. That is, we want to write an expression for n that we can use for substitution.

Using the first equation to solve for n, ...

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Substituting this into the second equation gives ...

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  q = 100 . . . . . . . . . . . . . . . . divide by 20

  n = 200 -q = 100 . . . . . . . . the number of nickels, as we want

_____

<em>Comment on the solution</em>

We solved for q, then had to do an extra step to find the value of n that the problem asks for. Had we written q = 200-n and used that for substitution, we would have ended with the equation -20n = -2000. This would give the answer for n directly (with no additional steps required).

Sometimes working with negative numbers is uncomfortable or results in errors, so we chose to use the solution method that would avoid negative numbers.

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<em>Comment on the problem statement</em>

We are told about coins in a <u>drawer</u>, and we are asked about coins in a <u>jar</u>. There is not enough information to answer the question asked. We have had to assume that both refer to the same quantity of coins—an assumption that is not supported by anything in the problem statement.

8 0
3 years ago
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Answer:

Erik's average speed exceeds the speed limit by 6.91 miles per hour.

Step-by-step explanation:

Let suppose that Erik travels at constant speed. Hence, the speed (v), measured in miles per hour, is determined by following equation of motion:

v = \frac{s}{t} (1)

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t - Time, measured in hours.

Please notice that a hour equals 60 minutes. If we know that s = 19.2\,mi and t = 0.267\,h, then the speed of Erik is:

v = \frac{19.2\,mi}{0.267\,h}

v = 71.910\,\frac{mi}{h}

Which is 6.91 miles per hour above the speed limit.

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