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musickatia [10]
2 years ago
10

You are going to visit a relative out of town and want to go to the gym while visiting. Hunkey Heros charges a registration fee

of $50 plus a monthly fee of $20. Zipity-zapity- zap-that-fat charges $70 to join, but only $10 per month. After how many months do the gyms cost the same? a) Declare your variables:
c) Solve

b) Write a system of equations:​
Mathematics
1 answer:
iragen [17]2 years ago
4 0

The number of months when the gyms cost the same is 5 months.

<h3>When would the cost be the same?</h3>

Total cost of joining the gym = registration fee + (cost per month x number of months)

  • Hunkey Heros = $50 + $20m
  • Zipity-zapity- zap-that-fat = $70 + $10m

When the gyms costs are the same, the two above equations would be equal to each other:

50 + 20m = 70 + 10m

20m - 10m = 70 - 20

10m = 50

m = 50 / 10

m = 5

To learn more about costs, please check: brainly.com/question/25879561

#SPJ1

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What is the value of f(g(1))​
jeka57 [31]

Answer: 1

Step-by-step explanation:

All you had to do was multiply g by 1 so f(g(1)) as a value is 1

8 0
3 years ago
One fifth of the sum of two angles is 24 and half their difference is 14.Calculate the two angles
Brums [2.3K]
Let, the angles = a, b
It is given that, a+b /5 = 24
a + b = 120   --- equation (1)

a-b/2 = 14
a - b = 28  ---- equation (2)
a = 28 + b

Now, substitute this value of b in equation (1), 
28 + b + b = 120
2b = 120 - 28
b = 92/2
b = 46
Now, a = 28 + b = 28 + 46 = 74

In short, Your Angles are 74 and 46

Hope this helps!
4 0
3 years ago
Please answer this question now
Maurinko [17]

Answer:

1306.24 cm².

Step-by-step explanation:

From the diagram given above, we obtained the following information:

Radius (r) = 13 cm

Pi (π) = 3.14

Slant height (l) = 19 cm

Surface Area (SA) =.?

The surface area of the cone can be obtained as follow:

SA = πr² + πrl

SA = πr ( r + l)

SA = 3.14 × 13 ( 13 + 19)

SA = 40.82 (32)

SA= 1306.24 cm²

Therefore, the surface area of the cone is 1306.24 cm².

7 0
3 years ago
Suppose the average yearly salary of an individual whose final degree is a masters is $46 thousand less than twice that of an in
zepelin [54]

Answer:

  • <em><u>average yearly salary of an individual whose final degree is a masters:</u></em><u> $ 66 thousand</u>

<u></u>

  • average yearly salary of an individual whose final degree is a bachelors:<u> $ 56 thousand</u>

Explanation:

You can set a system of equation using the following steps:

1. Name the variables:

  • average yearly salary of an individual whose final degree is a masters: x

  • average yearly salary of an individual whose final degree is a bachelors: y

2. Set the equations that relate the variables:

  • the average yearly salary of an individual whose final degree is a masters is $46 thousand less than twice that of an individual whose final degree is a bachelors:

        equation (1): x = 2y - 46

  • combined, two people with each of these educational attainments earn $122 thousand:

         equation (2): x + y = 122

3. Solve the system:

  • x = 2y - 46 . . . equation (1)
  • x + y = 122 . . . equation (2)

Substitute equation (1) into equation (2)

  • 2y - 46 + y = 122

Solve for y:

  • 3y = 122 + 46
  • 3y = 168
  • y = 168 / 3
  • y = 56 (this means that the average yearly salary with a bachelors degree is $ 56 thousand).

Subsitute the value on y in equation 1, to find the value of x:

  • x = 2y - 46 = 2(56) - 46 = 112 - 46 = 66.

Thus, the average yearly salary of a person with a masters degree is $ 66 thousand.

4 0
3 years ago
-3 1/2= 1/2x+1/2x+x A)-1 3/4 B)-5 1/2 C)-1 1/2 10points each
rosijanka [135]

Answer:

-1 3/4 =x

Step-by-step explanation:

-3 1/2= 1/2x+1/2x+x

Combine like terms

-3 1/2 = 2x

Change to an improper fraction

- ( 2*3+1)/2 = 2x

-7/2  = 2x

Multiply each side by 1/2

-7/2 *1/2 = 2x* 1/2

-7/4 = x

Changing to a mixed number

-4/4 -3/4 =x

-1 3/4 =x

4 0
3 years ago
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