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Sergeu [11.5K]
3 years ago
12

6. The ABC Book Club charges a $40 monthly fee, plus $2 per book read in that month. The Easy Book Club charges a $35 monthly fe

e, plus $3 per book read in that month. For each club, how many books must be read in 1 month for the total charges from each club to be equal?
Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
5 0

The expression for the cost of the ABC Book Club is 2<em>x </em>+ 40.  The expression for the cost of the Easy Book Club is 3<em>x</em> + 35.  To find when the total charge for both book clubs is equal, the two expressions must equal each other. (<em>x </em>= the number of books read)

2<em>x </em>+ 40 = 3<em>x</em> + 35

Subtract 35 from both sides.

2<em>x </em>+ 5 = 3x

Subtract 2<em>x </em>from both sides.

5 = <em>x</em>

So, the total charge for each club is equal when 5 books are read.

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Kim is 5 years older than her brother Jack. If the sum of their ages is 21, find each of their ages.
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Answer:

  • Kim is 13
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Step-by-step explanation:

Let k represent Kim's age. Then Jack's age is k-5 and the total of their ages is ...

  k + (k -5) = 21

  2k = 26 . . . . . . . add 5, collect terms

  k = 13 . . . . . . . . . divide by 2; Kim's age

  k -5 = 8 . . . . . . . Jack's age

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2 years ago
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Answer:

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Step-by-step explanation:

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First, find the reciprocal of the second number: 1/3

To find the reciprocal, flip the numerator (top number) and denominator (bottom number)

1/3-->3/1

Now, multiply 2/5 and 3/1

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3 years ago
Production times are evenly distributed between 8 and 15.8 minutes and production times are never outside of this interval. What
dezoksy [38]

Answer:

29.49% probability that a production time is between 9.7 and 12 minutes

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X between c and d, in which d is greater than c, is given by the following formula.

P(c \leq X \leq d) = \frac{d - c}{b-a}

Production times are evenly distributed between 8 and 15.8 minutes and production times are never outside of this interval.

This means that a = 8, b = 15.8

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So

P(c \leq X \leq d) = \frac{d - c}{b-a}

P(9.7 \leq X \leq 12) = \frac{12 - 9.7}{15.8 - 8} = 0.2949

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3 years ago
The fifth grade students at East street decided to host a fundraiser for red ribbon week they planed to buy 240 inches of red ri
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Answer:

(Amount for 1 inch of red ribbon) x (240) = total cost

Step-by-step explanation:

8 0
2 years ago
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