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navik [9.2K]
3 years ago
9

Christian’s Gym charges a one-time fee of $50 plus $30 per session for a personal trainer.

Mathematics
1 answer:
nydimaria [60]3 years ago
3 0

Answer: For 10 sessions, the cost of the two plans the same.

Step-by-step explanation:

Let x= Number of sessions.

Given: Christian’s Gym charges a one-time fee of $50 plus $30 per session for a personal trainer.

Total charge for x sessions = 50+30x

Nicole's fitness center charges a yearly fee of $250 plus $10 for each session with a  trainer.

Total charge for x sessions = 250+10x

When both plan charges the same, then

50+30x=250+10x\\\\\Rightarrow\ 30x-10x=250-50\\\\\Rightarrow\ 20x=200\\\\\Rightarrow\ x=10

i.e. For 10 sessions, the cost of the two plans the same.

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Thomas has $6.35 in dimes and quarters. The number of dimes is three more than three times the number of quarters. How many quar
mr Goodwill [35]

Answer:

He has 11 quarters

Step-by-step explanation:

* Lets study the information in the problem to solve it

- The value of dimes and quarters is $6.35

- There are dimes and quarters

- The dime = 10 cents

- The quarter = 25 cents

* We must change the money from dollars to cents

∵ $1 = 100 cents

∴ $6.35 = 6.35 × 100 = 635 cents

- The number of dimes = 3 + 3 × number of quarters

* Let number of dimes is D and number of quarter is Q

∴ D = 3 + 3Q

∴ 10D + 25Q = 635

* Substitute the value of D from first equation in the second equation

∴ 10(3 + 3Q) + 25Q = 635 ⇒ open the bracket

∴ 10(3) + 10(3Q) + 25Q = 635

∴ 30 + 30Q + 25Q = 635 ⇒ collect like terms

∴ 30 + 55Q = 635 ⇒ subtract 30 from both sides

∴ 55Q = 605 ⇒ divide both sides by 55

∴ Q = 11

* He has 11 quarters

5 0
3 years ago
Please help me thank you
gayaneshka [121]

Answer:

x = 6

Step-by-step explanation:

First, separate the problem into -\frac{2x}{3} +9=\frac{4x}{3} - 3

Then, Subtract 9 from both sides of the equation. -\frac{2x}{3} +9-9=\frac{4}{3} * x - 3-9

Simplify. -\frac{2x}{3}=\frac{4x}{3}-12

Multiply 3 to each side, which will give you -2x = 4x - 36

Subtract 4x from each side  -2x - 4x = 4x - 36x - 4x

Combine like terms: -6x = -36

Divide both sides by -6

Your answer should be 6

<em>(sorry for the late answer)</em>

5 0
3 years ago
Quadrilateral ABCD is a rectangle. BD = 6x - 14 and AC = 8x - 20. What is BD?
BigorU [14]

Answer:

4

Step-by-step explanation:

The diagonals are equal length:

6x - 14 = 8x - 20\\-2x = -6\\x = 3

BD = 6x - 14\\BD = 6 * 3 - 14\\BD = 18 - 14\\BD = 4

8 0
3 years ago
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dimaraw [331]

Answer:

DO you speak english

Step-by-step explanation:

Pedro has 1200.00

Juan has 400.00

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Good luck
7 0
4 years ago
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