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motikmotik
3 years ago
9

yoy are choosing between two health clubs. Club A offers membership fir a fee if $21 plus a monthly fee of $26. club B offers me

mbership for a fee of $42 plus a monthly fee of $19. After how many months will the total cost of each health club be the same?
Mathematics
1 answer:
suter [353]3 years ago
5 0
<span>3 months Let's express the amount of money spent on club A as a function of the number of months A = 21 + 26m And do the same thing for club B B = 42 + 19m We now want to set the 2 expressions equal to each other. 21 + 26m = 42 + 19m And solve for m. First subtract 21 from both sides 26m = 21 + 19m Now subtract 19m from both sides 7m = 21 And divide both sides by 7 m = 3 Therefore after three months, the total cost for each health club will be the same.</span>
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A coffee business sells a pound of coffee for $ 9.75. Monthly expenses are $ 4,500 plus $ 4.25 for every pound of coffee sold. a
hram777 [196]

Answer:

a. IT = 9.75 * X

b. GT = 4500 + 4.25 * X

c. G = 9.75 * X - 4500 - 4.25 * X

Step-by-step explanation:

With the data of the statement we can get a function. Let X be the number of pounds sold.

to. Monthly income

IT = 9.75 * X

b. Monthly expenses

GT = 4500 + 4.25 * X

c. Monthly Earnings (Monthly Income - Monthly Expenses)

G = 9.75 * X - (4500 + 4.25 * X)

G = 9.75 * X - 4500 - 4.25 * X

4 0
3 years ago
State the practical meaning of the slope and y-intercept for the situation described. The cost, in dollars, of retaining the ser
Anuta_ua [19.1K]
The practical meaning of the slope and y - intercept of the linear equation, C = 48x + 18 is that 48x is the variable cost depending on the number of hours and 18 is the fixed cost or the overhead change. Hence, the answer to the question above is letter A. 
6 0
3 years ago
Read 2 more answers
If two students from this college are selected at random, what is the probability that they are both males?
igor_vitrenko [27]

Answer:

P(A_1 and A_2) = P(A_1) *P(A_2)= 0.3*0.3 =0.09

Step-by-step explanation:

Assuming this problem :"Only 30% of the students in a certain liberal arts college are males. If two students from this college are selected at random, what is the probability that they are both males?"

Previous concepts

An independent event is an "event that has no connection to another event's chances of happening ". For this case we can assume that if one person is male and if we select another one the probability that this one would be male or female is totally indepedent from the first selection.

When we have two independent events let's say A and B and we want to find the probability that both events occurs at the same time we can use the following formula:

P(A and B) = P(A)*P(B)

Solution to the problem

We can define some notation:

A_1 first person selected is a male

A_2 second person selected is male

On this case we want the probability that both would be males. And we can express this like this on math terms:

P(A_1 and A_2)

For this case we can assume that the two events are independent. And in order to find the probability for two events independents events we just need to multiply the probabilities of each one like this:

P(A_1 and A_2) = P(A_1) *P(A_2)= 0.3*0.3 =0.09

5 0
3 years ago
Dingane has \$8.00$8.00dollar sign, 8, point, 00, and exactly 30\%30%30, percent of that money is from 555‑cent coins. How many
Ipatiy [6.2K]
<span>If Dingane has $8.00, and thirty percent of that money is from five cent coins, then 8 x 0.3 = $2.40 of Dingane's money is made of five cent coins. In this case the number of five cent coins is the number of cents divided by five: 240/5 = 48. Therefore, Dingane has forty-eight five-cent coins.</span>
6 0
3 years ago
Is the expression x3•x3•x3 equivalent to x3•3•3? Why or why not? Explain your reasoning.
devlian [24]

no they are different

if Base are equal power are added

like wise in first expressions power are added

but in second expressions cube of three is written as x to the power.

so they are not equal

3 0
3 years ago
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