Naomi wants to take fitness classes at a nearby gym, but she needs to start by selecting a membership plan. With the first membership plan, Naomi can pay $54 per month, plus $1 for each group class she attends. With the second membership plan, she'd pay $12 per month plus $3 per class.
If Naomi attends a certain number of classes in a month, the two membership plans end up costing the same total amount. How many classes per month does that take? What is that total amount Naomi will pay per month for a membership and that many classes?

Answer:

$5

Step-by-step explanation:

Set up a system of equations

let b be the cost of a bow

let w be the cost of a roll of wrapping paper

This means that

[tex]5b + w = 10\\b + w = 6[/tex]

Subtract the two equations

[tex]5b + w = 10\\- (b + w = 6)\\4b = 4\\b = 1[/tex]

Plug this into the equation b + w = 6

1 + w = 6

w = 5.

This means the cost of a bow is $1 and the cost of a roll of wrapping paper is $5.

Answer: 11.31

Step-by-step explanation:

Answer:

its 12

Step-by-step explanation:

the first one is 5.25 . you have to divide 10.5 by 2 and you'll get 5.25 and when you add 5.25 twice you'll get 10.5 which is the same as 10.50

Step-by-step explanation:

Given

[tex] \frac{2}{5} \times rs75 \\ = rs \: 15 \times 2 \\ = rs \: 30[/tex]

Hope it will help :)

Answer:

2÷5×75=30

Step-by-step explanation:

Answer:

Janine is 28. Ingrid is 30.

Step-by-step explanation:

Let the ages be x and x + 2 for Janine and her sister, respectively.

x/7 + (x + 2)/3 = 14

Multiply both sides by the LCD, 21, to get rid of denominators.

21 * x/7 + 21 * (x + 2)/2 = 21 * 14

3x + 7(x + 2) = 294

3x + 7x + 14 = 294

10x = 280

x = 28

x + 2 = 30

Answer: Janine is 28. Ingrid is 30.

Answer:

Janine is 28 and Ingrid is 30.

Step-by-step explanation:

Let Janine's age be x years , then Ingrid's age is x+2 years.

From the given information we have the equation:

x/7 + (x + 2)/3 = 14

Multiplying through by the LCM of 3 and 7 (21),  we have:

3x + 7(x + 2) = 294

10x + 14 = 294

10x =  294-14 = 280

x = 28, so:

Janine is 28 and Ingrid is 30.

Answer:

15 feet by 40 feet

Step-by-step explanation:

if the original dimensions were 3 by 8 and 1 cm = 5 feet multiply 3x5 then 8x5 and you receive your answer.

Answer:

an enlargement or a reduction of the figure

a slide of the figure

a turning of the figure about some fixed point

a mirror image of the figure

The best description of a dilation of a figure is a slide of the figure.

What is dilation?

A dilation is a transformation that changes the size of a figure. It can become larger or smaller but the shape of the figure does not change.

Now,

The best description of a dilation of a figure is a slide of the figure.

Learn more about the dilation visit:

https://brainly.in/question/7119691

#SPJ6

Answer:

6.82%(or -6.82%, it depends)

Step-by-step explanation:

95.2-88.7=6.5

6.5/95.2=6.82%

Answer:

$900

Step-by-step explanation:

He makes $288 the first week and $612 the second week the total amount of money he makes is $900

Answer:

96*3= $288 from last week

204*3= $612 from this week

The total is $900 from both weeks

Step-by-step explanation:

Hope this is what you were asking!

Answer:

A linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If this line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

We know that line f(x) passes through points (5, 0) and (10, 10)

Then the slope of f(x) is:

a = (10 - 0)/(10 - 5) = 10/5 = 2

then:

f(x) = 2*x + b

again, knowing that f(10) = 10   (because this line passes through point (10, 10) )

10 = 2*10 + b

10 = 20 + b

10 - 20 = b = -10

Then the equation of this line is:

f(x) = 2*x - 10

Now for g(x) we know that it passes through (-3, 0) and (2, 10)

then the slope is:

a = (10 - 0)/(2 - (-3)) = 10/5 = 2

g(x) = 2*x + b

And knowing that g(2) = 10   (because this line passes through point (2, 10) )

10 = 2*2 + b

10 = 4 + b

10 - 4 = b

6 = b

then:

g(x) = 2*x + 6

Then the equations are:

f(x) = 2*x  - 10

g(x) = 2*x + 6

A) One transformation may be a vertical translation, and the other can be a horizontal translation.

This is a vertical translation, which is defined as:

For a function f(x), a vertical translation of k units is written as:

g(x) = f(x) + k

If k is positive, the translation is upwards

if k is negative, the translation is downwards.

And an horizontal translation of k units is written as:

g(x) = f(x - k)

if k is positive, the translation is to the right

if k is negative, the translation is to the left.

B)

For the vertical translation we have:

g(x) = f(x) + k

2*x + 6 = 2*x  - 10 + k

6 = -10 + k

6 + 10 = k

16 = k

For the horizontal translation we have:

g(x) = f(x - k)

2*x + 6 = 2*(x - k) - 10

2*x + 6 = 2*x - 2*k - 10

6 = -2*k - 10

6 + 10 = -2*k

16 = -2*k

16/-2 = k

-8 = k

C)

The transformations are:

g(x) = f(x) + 16

or

g(x) = f(x - (-8))

Answer:

A. 4

B. 348

C. 2

D. 174182400

E. x = 2

Step-by-step explanation:

Given - A= (4ǃ+2ǃ+3ǃ)/(3ǃ+2ǃ)

             B = (6ǃ-4ǃ)/2ǃ

             C = 2ǃx3ǃx4ǃ/(5ǃ+4ǃ)

             D = 10ǃx8ǃ/(6ǃ+5ǃ)

             E -  ((x+5)ǃ(x+3)ǃ)/((x+4)ǃ+(x+3)ǃ)=6ǃ

Proof -

A.

(4! + 2! + 3! )/ (3! + 2!) = [4×3×2! + 2! + 3×2!] / [3×2! + 2!]

                                  = 2! [ 4×3 + 1 + 3] / 2! [3 + 1]

                                  = [12 + 1 + 3] / [4]

                                  = [16] / [4] = 4

⇒(4! + 2! + 3! )/ (3! + 2!) = 4

B.

(6ǃ-4ǃ)/2ǃ = [6×5×4! - 4!] / 2!

              = 4! [6×5 - 1] / 2!

              = 4×3×2! [ 30 - 1] / 2!

              = 12 [29] = 348

⇒(6ǃ-4ǃ)/2ǃ = 348

C.

2ǃx3ǃx4ǃ/(5ǃ+4ǃ) = 2!×3!×4! / [ 5×4! + 4!]

                         = 2!×3!×4! / 4! [ 5 + 1]

                         = (2×1) × (3×2×1) / 6

                         = 12 / 6 = 2

⇒2ǃx3ǃx4ǃ/(5ǃ+4ǃ) = 2

D.

10ǃx8ǃ/(6ǃ+5ǃ) = 10!×8! / [ 6×5! + 5!]

                      = (10×9×8×7×6×5×4×3×2×1) ×(8×7×6×5!) / 5! [6 + 1]

                      = (10×9×8×7×6×5×4×3×2×1) ×(8×7×6) / [7]

                      = (10×9×8×7×6×5×4×3×2×1) ×(8×6)

                      = 174182400

⇒10ǃx8ǃ/(6ǃ+5ǃ) = 174182400

E.

((x+5)ǃ(x+3)ǃ)/((x+4)ǃ+(x+3)ǃ)=6ǃ

[(x+5)(x+4)(x+3)! (x+3)!] / [ (x+4)(x+3)! + (x+3)! ] = 6!

[(x+5)(x+4)(x+3)! (x+3)!] / (x+3)!  [ (x+4)+ 1] = 6!

[(x+5)(x+4)(x+3)! / (  [ x+ 5 ] = 6!

(x+4)(x+3)! = 6!

(x+4)! = 6!

x+ 4 = 6

x = 6 - 4

x = 2

Note :

x! = x(x-1)(x-2).......(4)(3)(2)(1)

Answer:

45$RsAmountjjfjjdjehsvebhehehe

Answer:

yes

Step-by-step explanation:

sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{15}{17}[/tex]

Answer:

$75.6

Step-by-step explanation:

5%of 72 = 3.6

72+3.6 = 75.6

Answer:

a

Step-by-step explanation:

Answer:

risk-adverse

Step-by-step explanation:

The term risk-averse describes the investor who chooses the preservation of capital over the potential for a higher-than-average return.

Answer:

-1/200

Step-by-step explanation:

To get from one point to the other you rise (go down in this case since the slope is negative) $1 every time you make 200 more scarves.

Answer: 18 degrees

Step-by-step explanation:

If the temperature dropped 12 degrees (48-36) in 10 hours then the ratio is

10hours:12 degrees

to find hours divide both sides by 2 and multiply by 3 to get

15hours: 18 degrees

Answer:

In the number 75, 5 is the base and 7 is the exponent. Solution: False. Example 7: 4. 3 a. a a a a b. b b b. + + +. = + +. Solution:.

Answer:

The interior angles of a triangle add to 180°:a + b + c = 180°

Angles c and d make a straight angle, which is 180°:d + c = 180°

So d + c equals a + b + c:d + c = a + b + c.

Subtract c from both sides:d = a + b.

Step-by-step explanation:

Answer:

1. (x-3)(x+2)

2. (x-5)(x-3)

3. x= 2,1

4. x= -2,-4

5. x= 3,-7

6. x= 1,-8

7. x= 5,-7

8. x= -1/3,-2

Step-by-step explanation:

Answer:

50.6 is 92% of 55

Step-by-step explanation:

50.6:55*100 =

(50.6*100):55 =

5060:55 = 92

Now we have: 50.6 is what percent of 55 = 92

Hope this helped!

Answer:

your answer should be C.

Answer:

no

Step-by-step explanation:

Hello There!

So in order for it to be a triangle the sum of the two shorter sides has to be greater than the longest side

4+5.1=9.1

9.1 is not greater than 12.5 therefore a triangle cannot be formed with the given measurement

Answer:

8 ft.

Step-by-step explanation:

V = Bh        B = area of the base           h = height

The base is a circle, so [tex]B = \pi r^{2}[/tex]

320π = [tex]\pi r^{2} (20) = 20\pi r^{2}[/tex]

[tex]r^{2} = \frac{320\pi }{20\pi } = 16[/tex]

r = 4

d = 8 ft.

Answer:

v

Step-by-step explanation:

Answer:

300 times

Step-by-step explanation:

52 card deck

half are red

halfare black