1) Roland hires a mechanic to do some work. He pays y dollars per hour for a 7-hour job plus $42 in replacement parts. The total cost comes to $200. Please round to the nearest cent.

Create an equation that can be used to find the amount, in dollars, the mechanic charges per hour.

Answer:

g( 1 ) = 9

Step-by-step explanation:

Remember that in linear functions expressed in the function notation, g(x), this means that for any allowed value of x, we can use the equation to find the corresponding value of g(x) or y (output). Thus, the linear function g(x) = 5x + 4 is essentially the same as expressing the given equation as: y = 5x + 4.  

Given the linear function, g(x) = 5x + 4, we can solve for x when g(x) = 9 by substituting the value of the output, g(x) = 9, into the function.

g(x) = 5x + 4

9 = 5x + 4

Subtract 4 from both sides:

9 - 4 = 5x + 4 - 4

5 = 5x

Divide both sides by 5 to solve for x:

[tex]\large\mathsf{\frac{5}{5}\:=\:\frac{5x}{5}}[/tex]

x = 1

Therefore, when g(x) = 9, the value of x = 1. Another way of expressing this is: g( 1 ) = 9.

Answer:

3

3 rectangles have vertices ABCD that lie on grid nodes

Step-by-step explanation:

Answer:

You will have 3 rectangles

Step-by-step explanation:

Answer: dividend

Step-by-step explanation:……..

Answer: dividen that is the answer

Answer:

28meters and 112meters

Step-by-step explanation:

one piece is x

the other is 4x

therefore; 4x+x=140

5x= 140

divide both sides by 5

x=28

4x=4(28)

=112

Answer:

2 and 3

Step-by-step explanation:

the x-intercept is 2

the y-intercept is 3

Step-by-step explanation:

the general slope intercept form is

y = ax + b

a is the slope. it is expressed as ratio y change / x change when going from one point to another.

b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).

we get b by using the point coordinates in the equation and solve for b.

costs are on the y axis, miles are in the x axis.

so, what points do we see on the chart for the red taxi ?

let's start with the point right in the y-axis : (0, 2).

that gives us the y- intercept automatically.

and then let's pick e.g. the point, where both lines cross : (3, 8).

so, for the slope we look at the coordinate changes :

x changes by +3 (from 0 to 3).

y changes by +6 (from 2 to 8).

the slope is then 6/3 = 2.

and again, the y- intercept is +2.

therefore, the line equation is

y = 2x + 2

Step-by-step explanation:

Assign variables to the integers

Let the larger integer be 'A' and the smaller 'b'

Write Equations based on the Question

Since the sum of the integers is 75, then A + b = 75 (eq

1)

Since the larger number is three times more than the smaller, then  A = 3b (eq2)

Combine the Equations and solve for variables

By substituting the value of A in eq1 into eq2

⇒ 3b + b = 75

          4b = 75

            b = ⁷⁵/₄ = 18.25

By substituting the value of b into eq1

⇒  A = 3(⁷⁵/₄)

    A = ²²⁵/₄ = 56.25

Check our Answer:

A + b = 56.25 + 18.75 = 75

39 is the answer

If $x$ is the larger integer, then the smaller integer is $x-3$. We find the sum and set it equal to 75:$$x+x-3=75\qquad\Rightarrow \qquad 2x=78\qquad\Rightarrow \qquad x=39$$The larger integer is $\boxed{39}$.

Answer:

Step-by-step explanation:

Do you have a picture of the problem? It's hard to solve without values

It depends but it's most like a A.

I'd say a 98/99% is an A+

Answer:

A 92% on any exam would just be an A, because it's closer to a 90% than an 100%.

Step-by-step explanation:

If it's a 95% or higher, then you can consider that an A+.

Hope this helps :)

Answer:

A. 2x - 1

Step-by-step explanation:

We want the price of each notebook, so we will get this equation.

(4x^2 + 2x + 1) / (8x^3 - 1)   [ The " / " sign means I wrote as a fraction. ]

After that, we will use this method to factor ( 8x^3 - 1 ).

a^3 - b^3 = ( a - b )( a^2 + ab + b^2 )

1 can be wrote as 1^3 as we still get the same answer.

8^3 - 1^3 = ( 2x - 1 )( 4x^2 + 2x + 1)

So, we will get this.

(4x^2 + 2x + 1) / ( 2x - 1 )( 4x^2 + 2x + 1)

Now, we can cross out the ( 4x^2 + 2x + 1 ).

We will be left with 1 / ( 2x - 1 ).

Flip it and we will get ( 2x - 1 )

And that is the answer.

I hope it helps.

Answer:

1/2

Step-by-step explanation:

Rise over Run

1 = rise

2 = run

Answer:

Step-by-step explanation:

A

Answer:

h(1.5) = 7.3 ft

h(10.3) = 24.9 ft

Step-by-step explanation:

Given the function h(d) = 2d + 4.3,

where:

h = height of the water in a fountain (in feet)

d = diameter of the pipe carrying the water (in inches)

Substitute the input value of d = 1.5, into the function:

h(1.5) = 2(1.5) + 4.3

h(1.5) = 3 + 4.3

h(1.5) = 7 feet

The height of the water in a fountain is 7 feet when the diameter of the pipe is 1.5 inches.

Substitute the input value of d = 10.3, into the function:

h(10.3) = 2(10.3) + 4.3

h(10.3) = 20.6 + 4.3

h(10.3) = 24.9 feet

The height of the water in a fountain is 24.9 feet when the diameter of the pipe is 10.3 inches.

The solutions to both functions show the relationship between the diameter of the pipe to the height of the water in a fountain.  The height of the water in fountain increases relative to the diameter of the pipe.  In other words, as the diameter or the size of the pipe increases or widens, the height of the water in a fountain also increases.  

Answer:

i can't see anything

Step-by-step explanation:

Answer:  

y − 8 = m(x − 1)

72 minutes

Step-by-step explanation:

Point slope form is:  y − y1 = m(x − x1)

Pick any two points.  I'll pick (1,8) and (2,16).  I will make the first point the (x1,y1) we need for the point slope equation:

y − y1 = m(x − x1)

y − 8 = m(x − 1)

We can calculate the slope, m, by determining the Rise/Run of the line.  The Rise is the change in y for the Run, the change in x.

Change in Run (x) = (2-1) = 1

Change in Rise (y) = (16-8) = 8

Slope (Rise/Run) = 8

m is 8

y − 8 = m(x − 1)

y − 8 = 8(x − 1)

or

y = 8x

We can now predict Heather's time to complete the 9 miles:

y = 8x

y = 8*(9)

y = 72 minutes

Answer:

75

Step-by-step explanation

5+3=8

120/8=15

15(5)=75

If there are a total of 120 donuts served 45 will be chocolate donuts.

A ratio is a comparison between two similar quantities in simplest form.

A ratio a : b can be written as a/b.

Given, A donut shop serves plain and chocolate donuts at a ratio of 5 to 3.

∴ Plain donuts : Chocolate donuts = 3 : 5.

If there are a total of 120 donuts served chocolate donuts will be,

= 3/(5 + 3)×120.

= (3/8)×120.

= 45 chocolate donuts.

learn more about ratios here :

https://brainly.com/question/13419413

#SPJ2

Answer:

indefinido

Step-by-step explanation:

Answer:

$21 . 30

Step-by-step explanation:

Money spent on dinner  =$ 63.90

Money paid by each of the 3 friends = 63.90 ÷ 3 = $ 21.30

Answer:

m = 1

Step-by-step explanation:

We can start by moving all the terms with m to one side by subtracting m from both sides(to cancel out):

11m + 13 = m + 23

-m            -m

10m + 13 = 23

Now, to single out the m term, we can subtract 13 from both sides:

10m + 13 = 23

         - 13    -13

10m = 10

To find the value of m, we can divide both sides by 10:

10m = 10

÷ 10  ÷10

m = 1

1/3Answer:

Step-by-step explanation:

Answer:

5 is ALSO 31⁰ BECAUSE THE LINES ARE PARALLEL

GIVE BRAINLIEST PLZ

Answer:

E: 105

F: 50

G: 45

Step-by-step explanation:

Answer:

e f g

Step-by-step explanation:

cause my brother helped

Answer:

[tex]-2x^2y+3xy^2[/tex]

Step-by-step explanation:

The terms [tex]5x^2y \text{ and } -7x^y[/tex] are like terms.

The terms [tex]2xy^2 \text{ and } xy^2[/tex] are like terms.

Remember, [tex]xy^2[/tex] means [tex]1x^2y[/tex].

Answer:

1) Matches with option 4

2) Matches with option 2

3) Matches with option 3

4) Matches with option 1

Answer:

8 dimes and 6 quarters

===================================================

Work Shown:

d = number of dimes

q = number of quarters

d+q = 14 since this is his coin total; equation solves to d = 14-q

10d+25q = 230 which is the total value in cents

10(14-q)+25q = 230 .... apply substitution rule

140-10q+25q = 230

15q+140 = 230

15q = 230-140

15q = 90

q = 90/15

q = 6 = number of quarters

d = 14-q

d = 14-6

d = 8 = number of dimes

-----------------

Check:

8 dimes + 6 quarters = 14 coins

8 dimes = 8*10 = 80 cents

6 quarters = 6*25 = 150 cents

8 dimes + 6 quarters = 80 cents + 150 cents = 230 cents = $2.30

The answers have been confirmed.

Answer:

5

Step-by-step explanation: