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3 years ago

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Community Gym charges a $60 membership fee and a $70 monthly fee. Workout Gym charges a $170 membership fee and a $60 monthly fe

e. After how many months will the total amount of money paid to both gyms be the same? What will the amount be?

1 answer:

natima [27]3 years ago

4 0

Answer:

11 months, $830

Step-by-step explanation:

$60 + 70x = 170 + 60x$

$70x + 60x = 170 - 60$

$10x = 110$

$x = 11$

$60 + 70x = 60 + 70 \times 11$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 60 + 770$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\green{= 830}}$

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3 years ago

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3 years ago

1. Find the product. Simplify. 13/14 of 10/9. A. 15/42 B. 5/21 C. 2/7 D. 5/6 2. Andy has 5 pots, and each pot can hold 3/8 pound

Rufina [12.5K]

1) Resultant fraction: $\frac{65}{63}$

2) Total soil: $1\frac{7}{8}$ pounds

3) Result of the product: $\frac{35}{2}$

Step-by-step explanation:

1)

In this problem, we want to find the product between the two fractions

$\frac{13}{14}$

and

$\frac{10}{9}$

In order to find this product, we have to multiply the numerators of each fraction and the denominators of each fraction. We get:

$\frac{13}{14}\cdot \frac{10}{9}=\frac{13\cdot 10}{14\cdot 9}=\frac{130}{126}$

Now we simplify, dividing both numerator and denominator by 2:

$\frac{130/2}{126/2}=\frac{65}{63}$

And the fraction cannot be further simplified.

2)

Here we have:

n = 5 (number of pots that Andy has)

$s=\frac{3}{8}$ (amount of soil (in pounds) that each pot can contain)

In order to find the amount of soil that Andy needs to fill all the pots, we have to multiply the number of pots (n) by the amount of soil that each pot can contain (s).

If we do so, we find:

$t=n \cdot s = 5 \cdot \frac{3}{8}=\frac{5\cdot 3}{8}=\frac{15}{8}$

Which can be rewritten as a mixed fraction as:

$\frac{15}{8}=\frac{8+7}{8}=\frac{8}{8}+\frac{7}{8}=1\frac{7}{8}$

3)

Here we want to find the result of the following product:

$4\frac{2}{3}\cdot 3\frac{3}{4}$

In order to do so, we first have to rewrite each fraction as an improper fraction.

For the 1st fraction:

$4\frac{2}{3}=\frac{4\cdot 3+2}{3}=\frac{12+2}{3}=\frac{14}{3}$

For the 2nd fraction:

$3\frac{3}{4}=\frac{3\cdot 4+3}{4}=\frac{12+3}{4}=\frac{15}{4}$

Now we can finally find the product of the two fractions:

$\frac{14}{3}\cdot \frac{15}{4}=\frac{14\cdot 15}{3\cdot 4}=\frac{210}{12}=\frac{35}{2}$

Where in the last step, we divide both the numerator and the denominator by 6.

Learn more about fractions:

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6 0

3 years ago

Please help???????????

vagabundo [1.1K]

Answer:

x - $\sqrt{7}$

Step-by-step explanation:

A polynomial has the form

first term is the term of highest degree followed by term of second etc.

note that x = $x^{1}$ ← degree 1

x - $\sqrt{7}$

fits this description and is a polynomial of degree 1

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3 years ago

X−8π=π someone help me answer this

Ann [662]

Answer:

x = 9

Step-by-step explanation:

First step, divide both sides by pi to get rid of it entirely; you should be left with x - 8 = 1 (because when you divide a value by itself, you always get 1, so pi divided by pi gives you 1)

Second step, add 8 to both sides, leaving you with x = 9

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3 years ago