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AysviL [449]
3 years ago
8

Exercise Plus charges a yearly fee of $75 plus $10 a month. Gym and Swim charges a yearly fee of $50 plus $15 a month. When , if

ever, is the cost the same?
Mathematics
1 answer:
Natasha2012 [34]3 years ago
4 0

Answer:

5 months will be the same cost at each gym.

Step-by-step explanation:

As

  • Exercise Plus charges a yearly fee of $75 plus $10 a month.
  • Gym and Swim charges a yearly fee of $50 plus $15 a month.

Let x by the number of months

75+10x=50+15x

10x=15x-25

-5x=-25

\frac{-5x}{-5}=\frac{-25}{-5}

x=5

Therefore, 5 months will be the same cost at each gym.

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Equivalent answers for 64 to the power of 2/3
madreJ [45]

Answer:

16

Step-by-step explanation:

Dealing with a fraction exponent on hand can be converted by using the fractional exponents rule where the fraction exponent is converted to something like this:

64^\frac{2}{3} = \sqrt[3]{64^{2}}\\

As you can see, the denominator of the fractional exponent is now the index of the radical. Here is a guide to know what goes where.

64^\frac{x}{y} = \sqrt[y]{64^{x}}

Both the original problem (64^2/3) and the converted formula can be put into a calculator.

<u>Simplify (if you want to)</u>

<u />\sqrt[3]{64^{2}}\\\sqrt[3]{4096}\\16<u />

<u />

64 to the power of 2/3 is 16.

5 0
3 years ago
What is the result of increasing 50 by 30%?
kogti [31]

Answer:

50 increased by 30% is 65

Step-by-step explanation:

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

30% = 30/100 = 30 ÷ 100 = 0.3.

100% = 100/100 = 100 ÷ 100 = 1.

Percentage increase = 30% × 50

New value = 50 + Percentage increase

Calculate

New value =

50 + Percentage increase =

50 + (30% × 50) =

50 + 30% × 50 =

(1 + 30%) × 50 =

(100% + 30%) × 50 =

130% × 50 =

130 ÷ 100 × 50 =

130 × 50 ÷ 100 =

6,500 ÷ 100 =

65

Or just find 30% of 50 (15) and add that

8 0
2 years ago
What are the number of integral solutions of the equation 2x+2y+z=20 such that x&gt;=0 , y&gt;=0 , z&gt;=0?
zaharov [31]
2x+2y+z=20\\&#10;z=\dfrac{20}{2x+2y}\\&#10;z=\dfrac{10}{x+y}

Now, for z to be an integer, the sum x+y must be a divisor of 10. 
It has to be a positive divisor since z≥0. Also x≠y.

x+y=1 \\&#10;x=1-y\\&#10;
x≥0 and y≥0 so y can be equal to either 0 or 1. There are 2 solution in this case.

x+y=2\\&#10;x=2-y\\
In this case, y can be equal to 0,1, or 2, but for y=1 ⇒ x=1, so there are two solutions.

x+y=5\\&#10;x=5-y
y can be 0,1,2,3,4 or 5 - 6 solutions

x+y=10\\&#10;x=10-y
y can be 0,1,2,3,4,5,6,7,8,9,10, but for y=5 ⇒ x=5, so 10 solutions.

2+2+6+10=20 solutions in total.
6 0
3 years ago
4 , 15 , 30 , 49 , 72 , 99 , 130 what is the nth term would really appreciate help
yuradex [85]

Answer:

30 i think

Step-by-step explanation:

7 0
3 years ago
Which is the most accurate way to estimate 49% of 45?
Arlecino [84]
1/2 x 44 is the correct answer. Since the answer to the main equation is 22.05, the closest answer to it is 1/2 x 44 which is 22.
3 0
3 years ago
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