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Ede4ka [16]
3 years ago
12

HELP!!!

Mathematics
1 answer:
marusya05 [52]3 years ago
3 0
The equation of an ellipse is x²/a²  + y²/b² =1

a being the distance between the center & x intercept =7
b being the distance between the center & y intercept =5

Hence the equation of this ellipse is:

x²/49 + y²/25 =1
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Jan spends part of her year as a member of a gym. She then finds a better deal at another gym, so she cancels her membership wit
valkas [14]

She spent 8 months in the 1st gym and 4 months in the 2nd gym

Step-by-step explanation:

Jan spends part of her year as a member of a gym.

  • She then finds a better deal at another gym so she cancels her membership with the first gym after x months
  • She spends the rest of the year, y months, with the second gym
  • The membership to the first gym costs $75 per month, while the membership for the second gym costs $45 per month
  • She ended up spending a total of $780 over the course of the year

We need to find how much time she spent at each gym

∵ She spent x months in the 1st gym

∵ She spent y months in the 2nd gym

∵ Her course is a year

- There are 12 months in a year

∴ x + y = 12 ⇒ (1)

∵ The membership to the first gym costs $75 per month

∵ The membership to the second gym costs $45 per month

∵ She ended up spending a total of $780 over the course

∴ 75x + 45y = 780 ⇒ (2)

Now we have a system of equations to solve it

Multiply equation (1) by -45 to eliminate y

∵ -45x - 45y = -540 ⇒ (3)

- Add equations (2) and (3)

∴ 30x = 240

- Divide both sides by 30

∴ x = 8

- Substitute the value of x in equation (1) to find y

∵ 8 + y = 12

- Subtract 8 from both sides

∴ y = 4

She spent 8 months in the 1st gym and 4 months in the 2nd gym

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

4 0
3 years ago
What is the circumference of a circle with a diameter of 5 feet? use 3.14 for pi
artcher [175]

Answer:

15.7

Step-by-step explanation:

Circumference= πd

d= Diameter

7 0
3 years ago
Summarize what happens when the number of spins in experimental probability gets closer to 100.
IrinaVladis [17]

Answer:

B: The outcomes get closer to the theoretical probability for the same experiment.

Step-by-step explanation:

I hope this helps :)

Plz mark brainliest ♥

3 0
3 years ago
Hiiii can u please pls pls pls
Shkiper50 [21]

Answer:

x | y

0 | 0

6 | 2

12 | 4

Step-by-step explanation:

Multiply each x value in the table by 1/3 to get 0, 2, and 4 for your y values.

4 0
2 years ago
Read 2 more answers
Lily had 95 inches of yarn. After cutting 4 pieces that were each the same length, she had 15 inches of yarn left.
Anika [276]
Each was 10 inches because she had 95 and 95-15=40 divided by 4 = 10
6 0
3 years ago
Read 2 more answers
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