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alexandr402 [8]
3 years ago
10

A game store charges a monthly membership fee of $7.50, but then the charge to rent a game is only $1.00. Another store has no m

embership fee, but that store charges $2.00 to rent a game. How many games need to be rented each month for the total fees to be the same from either store?
Mathematics
1 answer:
Eduardwww [97]3 years ago
6 0

Answer:

6 games.

Step-by-step explanation:

Given that,

Monthly membership fee of store 1 is $7.5, but then the charge to rent a game is only $1.00

Another store has no membership fee, but that store charges $2.00 to rent a game.

Let there be n games needed to be rented each month for the total fees to be the same from either store.

Cost of first store = $7.50+$1.00n

Cost of another store = $2.00

If cost equals,

$7.50+$1.00n=$2

n=5.5 \approx 6

Hence, 6 games needed to be rented each month.

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Percy said that any real number for k would cause the system of equations to have no solution. Explain the error in Percy’s stat
MatroZZZ [7]

Answer:

Except k=7, any real number for k would cause the system of equations to have no solution.

Step-by-step explanation:

In general a system of equations can be represented as ax+by=c and dx+ey=f. In order this system of equations to have NO SOLUTIONS a/d=b/a≠c/f. In our example a=6, b=4, c=14, d=3, e=2 and f=k. To apply the formula above, 6/3=4/2≠14/k. Hence k≠7. It can be concluded that except k=7, any real number for k would cause the system of equations to have no solutions.

Just for information, if k=7 the system will have infinitely many solutions.

5 0
3 years ago
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3h - j when h = 8 and j = 11<br> plzzz help
AURORKA [14]

Answer:

13

Step-by-step explanation:

3h - j

3(8) - 11

24 - 11

13

8 0
3 years ago
How are the solutions to the inequality -3x&gt;18 different from the solutions to -3x&gt;18 ?
Novay_Z [31]

Answer:

x < -6

Step-by-step explanation:

 -3x > 18

Divide both sides by -3

-3x/-3 < 18/-3

Note : in inequalities when both sides are divided by negative or minus, the inequality sign changes.

Therefore

x < -6

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3 0
3 years ago
Event v occurs 28% of the time on Tuesdays.
vampirchik [111]

Answer:

68%

Step-by-step explanation:

Probability of occurrence of Event v = P(v) = 28% = 0.28

Probability of occurrence of both Events v and Event w together = P(v and w) = 19% = 0.19

We have to find what is the probability  that event w occurs with event v given that event v  occurs on a Tuesday. This is a conditional probability. In other words we have to find what is the probability of event w given that event v occurs of Tuesday. i.e we have to find P(w|v)

The formula to calculate this conditional probability is:

P(w|v) = \frac{P(v \cap w)}{P(v)}

Using the given values, we get:

P(w|v) = \frac{0.19}{0.28}\\\\ P(w|v) = 0.68\\\\ P(w|v) = 68\%

Therefore, the probability that even w will occur with event v given that event v occurs on Tuesday is 68%

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3 years ago
The Jackson's dinner cost $125. They left $21.25 as a tip. What was the percentage of the tip? Please explain and help me! THANK
fiasKO [112]

Answer:

17%

Step-by-step explanation:

to find the percentage of something, you have to fill out the following formula:

x/100 = 21.25/125. Basically that is saying that some percent out of 100 is equal to 21.25 out of 125. To solve that, you have to cross multiply:

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then you have to divide, to single out x:

the answer is 17

so it is 17%

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