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Stolb23 [73]
3 years ago
12

Sasha wants to join a local gym. Stay Fit charges $30 each month and $140 initiation fee. Beat The Bulge charges $50 each month

and no initiation fee. How many months of membership is needed to prove which gym is better. PLEASE HELP IM SO FRUSTRATED!!!!!!
Mathematics
1 answer:
Nimfa-mama [501]3 years ago
3 0

Answer:

after 8 months it becomes clear that Stay Fit is the better gym.

Step-by-step explanation:

i set up a chart like this.

STAY FIT                      -                      BEAT THE BULGE

      $140 FEE                                     $0 FEE

1.       $170                        -    1.    $50

2.       $200                     -    2.    $100

3.       $230                      -    3.    $150

4.       $260                      -    4.    $200

5.       $290                       -   5.    $250

6.       $320                      -    6.    $300

7.       $350                       -    7.    $350

8.       $380                       -    8.    $400

9.       $410                        -    9.    $450

10.     $440                        -    10.   $500

11.      $470                         -    11.    $550

12.     $500                        -    12.    $600

13.     $530                        -    13.    $650

14.     $560                        -    14.    $700

15.     $590                        -    15.    $750

as you can see, after paying for 8 months the stay fit gym is cheaper, making it the better gym. hope i helped i spent 10 min writing this out then typing it haha

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the surface area of a cuboid is 95cm² and its lateral surface area is 63cm². find the area of its base​
wel

Answer:

The Area of the base is 16 cm² .

Step-by-step explanation:

Given as :

The surface area of the cuboid = x = 95 cm²

The lateral surface area of the cuboid = y = 63 cm²

Let The Area of the base = z cm²

Now, Let The length of cuboid = l cm

The breadth of cuboid = b cm

The height of cuboid = h cm

<u>According to question</u>

∵ The surface area of the cuboid = 2 ×(length × breadth + breadth × height + height × length)

Or, x = 2 ×(l × b + b × h + h × l)

Or, 95 =  2 ×(l × b + b × h + h × l)

Or,  (l × b + b × h + h × l) = \dfrac{95}{2}          ....1

<u>Similarly</u>

∵lateral surface area of the cuboid = 2 ×(breadth × height + length × height)

Or, y = 2 ×(b × h + l × h)

Or, 2 ×(b × h + l × h) = 63

Or, (b × h + l × h) = \dfrac{63}{2}              ......2

Putting value of eq 2 into eq 1

so,  (l × b +  \dfrac{63}{2} ) = \dfrac{95}{2}    

Or, l × b = \dfrac{95}{2} - \dfrac{63}{2}    

Or,  l × b = \dfrac{95 - 63}{2}

i.e l × b = \dfrac{32}{2}

so, l × b = 16

<u>Now, Again</u>

∵The Area of the base = ( length × breadth ) cm²

So, z =  l × b

i.e z = 16 cm²

So, The Area of the base = z = 16 cm²

Hence,The Area of the base is 16 cm² . Answer

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