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3 years ago

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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Circle assignment! THANKS so much its worth so much of my grade

kogti [31]

Answer:

1. B) Figure B.

2. C) Figure C.

3. D) Figure D.

4. C) Figure C.

Step-by-step explanation:

Given: Radius of Circle A= 4

Radius of Circle B= 5

Radius of circle C= 6

Radius of circle D= 7

Now, finding circumference and area of all the circle.

We know, circumference of circle= $2\pi r$

Area of circle= $\pi r^{2}$

Where, r= radius of circle and π = 3.14

First, solving for figure A

Circumference= $2\times 3.14\times 4= 25.12\ cm$

Area= $3.14\times 4^{2} = 50.24\ cm^{2}$

Solving for Figure B

Circumference= $2\times 3.14\times 6= 31.4\ cm$

Area= $3.14\times 5^{2} = 78.5\ cm^{2}$

Solving for Figure C

Circumference= $2\times 3.14\times 6= 37.68\ cm$

Area= $3.14\times 6^{2} = 113.04\ cm^{2}$

Solving for Figure D

Circumference= $2\times 3.14\times 7= 43.96\ cm$

Area= $3.14\times 7^{2} = 153.86\ cm^{2}$

∴ 1. Answer is Figure B.

2. Answer is figure C.

3. Answer is Figure D

4. Answer is Figure C.

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3 years ago

“Solve the equation. Determine if it is undefined or not.”

lozanna [386]

Answer: a) No Solution

b) Infinite Solutions (All Real Numbers)

Step-by-step explanation:

4(g + 8) = 7 + 4g

4g + 32 = 7 + 4g distributed 4 into g + 8

32 = 7 subtracted 4g from both sides

Since the statement is false because 32 ≠ 7, then there is NO SOLUTION

-4(-5h - 4) = 2(10h + 8)

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16 = 16 subtracted 20h from both sides

Since the statement is true because 16 = 16, then there are INFINITE SOLUTIONS so x can be all real numbers.

8 0

3 years ago

1) Given the equation ax + 3 2 = 6, solve for x.

ruslelena [56]

Ax + 32 = 6
- 32 = -32
---------------------
ax = -26
---- -----
a a

1x = -26
-----
a

x = -26
-----
a

4 0

3 years ago

Read 2 more answers

Find the quotient 5 68

kobusy [5.1K]

The quotient is 13.6

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3 years ago

What is the simplified polynomial and the value

Elanso [62]

The simplified polynomial is; xy(x²y - xy² +1) and; the value when x=-3 and y=2 is; -186

From the polynomial given;

x²yxy -xy²xy +xy.

The polynomial can be factorised to yield a simpler form as follows;

xy(x²y - xy² +1).

This is so because, xy is a common factor.

The value is therefore;

(-3×2)((-3)²2 - (-3×2²) +1)

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= -186