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shepuryov [24]
3 years ago
9

You are choosing between two plans at a health club. Plan A offers an initial membership fee of $75. And you pay $15 per month.

Plan B offers an initial membership fee of $20 and you pay $26 a month. How many months are the two clubs the same price?
Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
6 0

Answer:

5 months

Step-by-step explanation:

Let the number of months equalising both plans fee = x

Plan A total fee = 75 + 15x , Plan B total fee = 20 + 26x

Equalise both: 75+15x = 20+26x ; 75-20 = 26x-15x ; 55 = 11x ; x = 55 / 11

x = 5  

Proof : 75 + 15 (5) = 20 + 26 (5) ; LHS 150 = RHS 150

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4 years ago
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the top of the Washington Monument is shaped like a rectangular pyramid. the pyramid top has an approximate width and length of
AveGali [126]

The volume of a rectangular pyramid

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V=\frac{\text{WLH}}{3}

We have to assume the pyramid given in the question has a square shape of length and width of L=34.5 feet and W = 34.5 feet, and a height of H=55 feet, thus the volume is:

V=\frac{\text{34.5}\cdot34.5\cdot55}{3}=21,821.25ft^3

Correct choice: A

6 0
1 year ago
Mr. Thompson got some money for his birthday He spent 1/5 of it on dog treats. Then, he divided the remainder among his 3 favori
kumpel [21]

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he spent 20 percent (1/5) of the money on dog treats, and the remaining 80 percent (4/5) went to 3 different charities. If $60 dollars were given to each charity, that means a total of $180 dollars was given to charity. if 4/5 of the money is equal to $180, we can divide 180 by 4 to get $45 dollars. this means that 1/5 of the birthday money would be equal to $45 dollars. so to find 5/5, or 100% of the money, simply multiply $45 by the denominator, 5, to get the answer. the total birthday money received was $225 dollars, and $45 dollars of that was used for dog treats.

8 0
4 years ago
An element with a mass 310 grams decays by 5.7% per minute. How much of the element is remaining after 9 minutes, to the nearest
balu736 [363]

Mass of an element = 310 grams

Percentage of the element that will decay in a minute = 5.7%

Quantity of the element that will decay in one minute :

=  \frac{5.7 \times 310}{100}

=  \frac{1767}{100}

= \tt17.67 \: grams

Thus, 17.67 grams of the element will decay every minute.

Quantity of element that will decay after nine minutes :

= 17.67 \times 9

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Thus, 159.03 grams of the element will decay after 9 minutes.

Quantity of element that will remain after 9 minutes :

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We can round off 150.97 to 151.00.

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6 0
3 years ago
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Answer:

unless I am mistaken r=7

Step-by-step explanation:

you subtract 10 from each side and boom done

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