In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation. After how many months will the total cost be $58?

Answers

Answer 1

Answer:

y=4x+30

In 7 months, the total cost will be $58.

Step-by-step explanation:

Since the monthly fee is 4, it's going to be the constant, or the slope. And 30 is a one time fee, so it's the y-intercept.

How many Months?

58-30=28

28/4=7

So in 7 months.

Answer 2

Answer:

7 months

Step-by-step explanation:

y =4x + 30

58 = 4x + 30

28 = 4x

x = 7

it will take 7 months.


Related Questions

Tina made $121 this week for workkng 22 hours. How much will she make next week if she gets paid at the same rate but only works 14 hours?

Answers

Answer: she made 77 dollars

Step-by-step explanation:

121 divided by 22 is 5.5

5.5 will be her pay rate per hour

5.5 times 14 is 77

Answer:

77 dollars

Step-by-step explanation:

We can use ratios to solve

121 dollars      x dollars

--------------- = --------------------

22 hours         14 hours

Using cross products

121 * 14 = 22x

Divide each side by 22

121 * 14/22 = x

77 =x

What number makes the equation \large 4x-10=-42 true?

Answers

Answer:

-13=x

Step-by-step explanation:

4(-13)-10=-42

-52-10=-42

Answer:Simplifying

4x + -10 = 42

Reorder the terms:

-10 + 4x = 42

Solving

-10 + 4x = 42

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '10' to each side of the equation.

-10 + 10 + 4x = 42 + 10

Combine like terms: -10 + 10 = 0

0 + 4x = 42 + 10

4x = 42 + 10

Combine like terms: 42 + 10 = 52

4x = 52

Divide each side by '4'.

x = 13

Simplifying

x = 13

What is 500/199 factorial?

Answers

Answer:

I hope you got it.

please mark brainliest


2. Shawn likes to save time and plan ahead, so she wants to program her computer to take the number of orders that need to be filled and assign the correct
number of employees to work. What equation does she need to program into her computer?
lated

Answers

Answer:

helloooooo

Step-by-step explanation:

Which is the next step in the following construction of an equilateral triangle

Answers

Answer: connect c and e with straight edge just took the test

Step-by-step explanation:

distribute the following expression: 4 ( g + 9 )

Answers

Answer:

4g + 36

Step-by-step explanation:

Distribute the 4 to the parentheses:

4(g) = 4g

4(9) = 36

Add the terms together:

4g + 36 is the distributed expression

3x - 4y = 10
X + 4y = -21

Answers

ANSWER:

X=-3x-11

Y=3x/4-5/2

Step-by-step explanation:

help me with question, i have tried and its very tough.

Answers

Answer:

the value is -5 and the root is 4

Step-by-step explanation:

3x² + kx − 28 = 0

(a) One of the roots is -2⅓ = -7/3.  So the value of k is:

3(-7/3)² + k(-7/3) − 28 = 0

49/3 − 7/3 k − 28 = 0

49/3 − 28 = 7/3 k

49 − 84 = 7k

k = -5

(b) 3x² − 5x − 28 = 0

(3x + 7) (x − 4) = 0

x = -7/3 or 4

If a + 2 < b + 3, then a < b. true or false

Answers

Answer:

true

Step-by-step explanation:

It is true because no matter what numbers you plug into the equation b+3 has to be greater than a+2 so it has to be one ahead.

solve one variable linear equation 7h-5(3h-8) = -72

Answers

Answer:

h =14

Step-by-step explanation:

Answer:h=14

Step-by-step explanation:

what number should be added to -28 to make the sum 0​

Answers

Add positive 28 to get the sum 0

Answer:

28

Step-by-step explanation:

Because by adding 28 to -28,you are adding to a negative number to same positive number,you get 0 each time

A rectangular garden is 6 feet longer than its wide. The perimeter of it is 52 feet. What equation can be used to find the width?

Answers

Answer:

Hi there!

Your answer is;

the equation

(w+6)+(w+6)+(w)+(w) = 52

The width of this rectangle is 10. The length of this rectangle is 16.

Step-by-step explanation:

Rectangular perimeter:

l+l+w+w

l= w+6

w= w

(w+6)+(w+6)+(w)+(w)

4w+12= 52

4w = 40

/4

w= 10

Hope this helps!

What is an 1 equation of the line that passes through the points (-2,1) and (6, – 7)?

Answers

Answer:

y - 1 = -1 * (x + 2) < point-slope form

Step-by-step explanation:

y-y₁=m(x-x₁) then I just inserted the following numbers to fit the formula. I hope this helps!

14
0.75(8b+4)−1=4b+140

Answers

Answer: b=6

Step-by-step explanation:

0.75(8b+4)-1=4b+140
6b+3-1=4b+140
6b+2=4b+140
6b+2-2=4b+140-2
6b=4b+138
6b-4b=4b-4b+138
2b=138
2b/2=138/2
B=69

Is z=4x+9y literal or not

Answers

Answer:

no it is not literal

Step-by-step explanation:

because no matter what you do you will just get whats in the picture sorry it wouldnt let me type it

The equation z = 4x + 9y is a literal equation because the literal equation is an equation that contains more than one variable.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The equation is:

z = 4x + 9y

As we know, the literal equation is an equation that contains more than one variable.

In the equation z = 4x + 9y there are three variables then it is literal.

Thus, the equation z = 4x + 9y is a literal equation because the literal equation is an equation that contains more than one variable.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Larry McCoy desposited three checks to his checking account he remembers that one of the checks was twice the amount of the smallest checks and the largest checks was equal in amount of the sum of the other two if Larry revived 50 cash in cash and had a total deposit of 355,what was the amount of each of three checks?plesae it’s urgent ?

Answers

$67.50

Step-by-step explanation:

The amount of each of three checks is 67.5, 135 and 202.5 respectively

Given:

let

amount of smallest check = c

Amount of larger check = 2 × c

= 2c

Amount of largest check = (c + 2c)

= 3c

Amount revived = 50

Total deposit = 355

Total amount in the account = amount of smallest check + Amount of larger check + Amount of largest check

50 + 355 = c + 2c + 3x

405 = 6c

c = 405 ÷ 6

c = 67.5

Therefore,

amount of smallest check = c

= 67.5

Amount of larger check = 2 × c

= 2c

= 2(67.5)

= 135

Amount of largest check = (c + 2c)

= 3c

= 3(67.5)

= 202.5

Read more:

https://brainly.com/question/8957185

The base of a triangular prism is a right triangle with a base of 5 inches and a height of 12 inches. The height of the prism is 21 inches. Whats volume of the prism?

Answers

Answer:

630 cubic inches of 630 in³

Step-by-step explanation:

The formula for the volume of a triangular prism = (Area of the base) × Height of the triangular prism

Area of the base = 1/2 × base × height

= 1/2 × 5 inches × 12 inches

= 30 square inches

Volume of the Triangular prism = Area of the base × Height of the Triangular Prism =

Height of the triangular prism = 21 inches

Volume of the Triangular Prism = 30 Square inches × 21 inches

= 630 cubic inches of 630 in³

Sydni has 2 fractions and she is confused about how to find a common denominator. The fractions are 2/3 and 3/5. Explain how you would tell Sydni how to determine the least common denominator.

Answers

Answer:

By finding the least common multiples of the denominators of the two fractions

Which is 15

Step-by-step explanation:

Fraction A = 2/3

Fraction B = 3/5

To find the least common denominator of the two fractions,

Fraction A = 2/3 and Fraction B = 3/5, Sydni will have to find the least common multiples of denominator 3 and denominator 5.

Multiples of denominator 3 = 6, 9, 12, 15, 18, 21

Multiples of denominator 5 = 10, 15, 20, 25

The least common multiples of the two denominators is 15

Therefore, the common denominator of Fraction A = 2/3 and Fraction B = 3/5 is 15

Which of the following is a government incentive to save for retirement that offers a
tax benefit?

Contribution matching
O Roth IRA
Opt-in program
O 529 plan

Answers

A government incentive that encourages individuals to save for retirement given the tax benefit they stand to gain is contribution matching:

ROTH IRA

Roth IRA is a special type of IRA which is different from the traditional IRAs with regard to how tax is being deducted.

ROTH IRA, which is named after Senator William Roth, is an individual retirement account (IRA), whereby individuals pay taxes on money that enters the account.

However, they can individuals can later in the future make withdrawals that are tax-free from the account. This tax benefits being offered encourages people to save for retirement.

Therefore, a government incentive that encourages individuals to save for retirement given the tax benefit they stand to gain is contribution matching:

ROTH IRA

Learn more here:

https://brainly.com/question/24761702

Answer:

Roth IRA

Step-by-step explanation:

It is a retirement plan that offers tax benefits to those who end up using it.

Please help this sat math problem got me stumped

Answers

2^12 :)

You can re-write the fraction as:
((2^3)^x) / 2^y

Rule for dividing powers gives us:
2^(3x-y)

But we know 3x-y=12, so answer A
Let me know if you want workings out on paper :)

Answer:

option A

Step-by-step explanation:

[tex]3x-y=12\\ =>3x = 12+y\\=>x=\frac{y+12}{3}[/tex]

Putting the value of x in [tex]\frac{8^{x} }{2^{y} }[/tex] gives :-

[tex]\frac{8^\frac{y+12}{3} }{2^y} = \frac{2^3(\frac{y+12}{3} )}{2^y} = \frac{2^{y+12} }{2^y} = 2^{y+12-y}=2^{12}[/tex]

what is the power of -5^6

Answers

Answer:

-3125

Step-by-step explanation:

Solution:

-5^6

-5 * -5 * -5 * -5 * -5

-15,625

Best of Luck!

which equation can be used to find one multiple of 16?​

Answers

Answer:

8×2

Step-by-step explanation:

Evaluate the following expression using the values given.

Find 2x2 − 2z4 + y2 − x2 + z4 if x = −4, y = 3, and z = 2.

Explain how you got your answer.

Answers

Answer:

-19

Step-by-step explanation:

2×2-2z4+y2-x2+z4

now we put the value,

4-2(2to the power 4)+(3 to the power 2)-(-4 to the power 2)+(2 to the power 4)

4-2×16+9-16+16

4-32+9

4+9-32

13-32

-19

please check the answer again i am sorry if it's wrong

Jim was given three functions and asked to determine ƒ + (g ○ h). The functions were ƒ (x) = x2, g(x) = 3x + 1, and h(x) = 2x. Jim started by writing the problem as (ƒ + (g ○ h))(x) = x2 + 2(3x + 1). What was Jim's mistake? What is the correct solution? A. Jim omitted the x in h(x); (ƒ + (g ○ h)) = 7x2 + 2x. B. Jim should have added ƒ and g first; (ƒ + (g ○ h)) = 4x2 + 6x + 1. C. Jim incorrectly performed h ○ g instead of g ○ h; (ƒ + (g ○ h)) = x2 + 6x + 1. D. Jim did not follow the order of operations; (ƒ + (g ○ h)) = x2 + 6x + 2.

Answers

Answer:

3x+2x+2x=7*2

7x=14

x=14/7

x=2

Let f(x) = x2 - 4 and g(x) = x + 2. What is (f + g)(2)?

Answers

Answer:

2x^2+12+2x

Step-by-step explanation:

[(x^2+4) + (x + 2)](2)

(x^2+6+x)(2)

2x^2+12+2x

What is 3.8 *(-2) + (-4)

Answers

Answer:

-13.6

Step-by-step explanation:

3.8 x -2 is -9.6.

-9.6 + -4 = -13.4

Answer:

-11.6

Step-by-step explanation:

First you multiply 3.8 to -2. You will get -7.6, then you add -4. When adding a negative and another negative it is like normal addition but with negative sign. As a result, -7.6 plus -4 is -11.6.

I AM LOOKING TO PAY SOMEONE $50-$75 A week TO DO MY ENGLISH 2 AND MATH 1 HOMEWORK EVERYDAY Add me on snap - flipdabrick

Answers

Answer:

...

Step-by-step explanation:

Answer:

its D

Step-by-step explanation:

got it right

how do i simplify this expression?
3(a-7)=?​

Answers

Answer: 3a-21

Step-by-step explanation:

Apply distributive property

a=3-3*7

Multiply 3*7=21

Answer: 3a--21

The graph of $f(x)$ is shown below.



For each point $(a,b)$ on the graph of $y = f(x),$ the point $\left( 3a - 1, \frac{b}{2} \right)$ is plotted to form the graph of another function $y = g(x).$ For example, $(0,2)$ lies on the graph of $y = f(x),$ so $(3 \cdot 0 - 1, 2/2) = (-1,1)$ lies on the graph of $y = g(x).$

(a) Plot the graph of $y = g(x).$ Include the diagram in your solution.

(b) Express $g(x)$ in terms of $f(x).$

(c) Describe the transformations that you would apply to the graph of $y = f(x)$ to obtain the graph of $y = g(x).$ For example, one transformation might be to stretch the graph horizontally by a factor of $5.$

Answers

Answer:

See attached

Step-by-step explanation:

The graph of both f(x) and g(x) attached

g(x) obtained from f(x) by x→ 3x - 1 and y → y/2 transformation rule

The transformation to get g(x) would be:

Vertical compression by a factor of 2Horizontal shrink by a factor of 3

f(x) is the blue graph

g(x) is the red graph

Answer:

Step-by-step explanation:

ask the message board ! :)

150 adults complete a survey 80 are women

Answers

70 percent are men that complete the survey

Answer:

70 are men

Step-by-step explanation:

150 - 80 = 70

That means 70 are men

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