Mackenzie needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3.75 hours and charged her $157 for parts. The total was $400.75. Write and solve an equation which can be used to determine x, the cost of the labor per hour.

Answers

Answer 1

Answer:

x=65

Step-by-step explanation:

Based on the given conditions, formulate: 157+3.75 X x=400.75

Rearrange unknown terms and Calculate the sum:

3.75x = 400.75 - 157

3.75x = 243.75

x=243.75 / 3.75

x=65

Answer 2

The cost of labour per hour is $65.

Given that, the technician at the store worked on the computer for 3.75 hours and charged her $157 for parts. The total was $400.75.

We need to write and solve an equation which can be used to determine x, the cost of the labour per hour.

What is a linear equation?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.

Now, according to question 157+3.75×x=400.75

⇒3.75x=400.75-157

⇒3.75x=243.75

⇒x=243.75/3.75

⇒x=65

Therefore, the cost of labour per hour is $65.

To learn more about a linear equation visit:

https://brainly.com/question/27664510.

#SPJ2


Related Questions

i suck at this stuff
pls help asap
ty <3

Answers

Answer:

12*2=24

Step-by-step explanation:

The 3 in 75,341 is ______ the value of the 3 in 293,467

Answers

Answer:

3 in 75,341 = the hundreth place.  3 in 293,467 = the thousandth place.

Step-by-step explanation:

-16+5w=-1
solve for w

Answers

Answer:

w=3

Step-by-step explanation:

-16+5w=-1 .       add 16 to both sides

5w=15 .   divide both sides by 5

w=3

W=3
5w= -1 + 16
5w = 15
5 x 5 x 5 = 15

Can someone help me with this?

Answers

Answer:

Step-by-step explanation:

[tex]\frac{\sqrt{36x^3y^4}}{2x^{2/3}y^{-4}}=\frac{6x^{3/2}y^2}{2x^{2/3}y^{-4}}=3x^{5/6}y^6[/tex]

a=3, b=5/6, c=6

3*(5/6)*6= 15

A camping leader bought the items listed in the table for his team.
What is the average cost of an item in his purchase?

$4.55
$5.93
$6.25
$6.35

Answers

Answer:

5.93

Step-by-step explanation:

6 x 9.45 = 56.7

10 x 6.95 = 69.5

14 x 5.50 = 77

9 x 3.10 = 27.9

56.7 + 69.5 + 77 + 27.9 = 231.1

6 + 10 + 14 + 9 = 39

231.1 / 39 = 5.925 = 5.93

what is 44÷33= please for answer​

Answers

1 1/3

Hope this helps

Step-by-step explanation:

44 ÷ 33

= 1.333333333..........

Hope it's helpful.

Solve for the value of R.
SOMEONE PLEASE HELP ILL GIVE YOU POINTS AND BRAINLIST ANSWER !!!

Answers

Step-by-step explanation:

[tex](3r + 4) + (8r - 2) = 90[/tex]

[tex]3r + 4 + 8r - 2= 90[/tex]

[tex]11r = 88[/tex]

[tex]r = \frac{88}{11} \\ [/tex]

[tex]r = 8[/tex]

which mapping diagram does NOT represent a function from x > y ?

Answers

Answer:

A

Step-by-step explanation:

In a function, each x value must have a singular y value. This means that one x-value (the values on the left) may not have a line pointing to 2 different y-values (the values on the right). In the first relation, the x-value of 6 points to both 4 and 6. This means that the value repeats, and in a function x-values cannot repeat.

However, y-values can repeat. So, situations like that seen in D, where both the x-values of 2 and 4 equal the y-value of 6 are fine.

Answer:

It's A

Step-by-step explanation:

16. (-4, -3), (-2, 2)

Answers

Answer:

16. 5/2

Step-by-step explanation:

Rise/run

2- (-3)=5

-2- (-4)=2

rise/run= 5/2 (Five over two)

Determine which have two variables that represent a proportional relationship. Explain your reasoning

Answers

Answer:

Step-by-step explanation:

Ok, so i cant really awnser all the questions on that page but a very important thing to know is that it is proportinal if the layout is y=mx.   the m is usually replaced with something else though. So for that first question, its proportianal. Try your best to turn those story problems into equations and then see if it matches the y = mx equation if not, its not

Two variables have a proportional relationship if all the ratios of the variables are equivalent.

5. Randall wants to buy a pizza. He can
select from 4 different sizes (s,m,Ixl), three
types of crust (pan, thin, hand toss), and
two toppines (cheese or pepperoni). How
many different outcomes of pizza can
Randall order?

Answers

Answer: 18 outcomes

Step-by-step explanation:

For the small:

pan+cheese

or

pan+pepperoni

or

thin + cheese

or

thin + pepporoni

or

hand + cheese

or

hand + pepperoni

which is 6 outcomes

then 6x3(because of the sizes) is 18.

Solve the equation below by completing the square. Circle the number that is added to both sides. x2 - 10x = -18 ​

Answers

Answer:

x = ±[tex]\sqrt{7}[/tex] - 5

Step-by-step explanation:

x^2 - 10x = -18

x^2 - 10x + 18 = 0

(x + 5)^2 - 5^2 + 18 = 0

(x + 5)^2 - 7 = 0

(x + 5)^2  = 7

[tex]\sqrt{(x + 5)^2}[/tex] [tex]=[/tex] ±[tex]\sqrt{7}[/tex]

x = ±[tex]\sqrt{7}[/tex] - 5

Which table represent a linear function

Answers

The linear function must be represented in the form y = mx + b,  where y and x are variables.

A linear function is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the y intercept

From the table, the linear function must be represented in the form y = mx + b,  where y and x are variables.

Find out more on linear function at: https://brainly.com/question/4025726

What +1/16 = 3/2 answer please

Answers

Answer:

1   7/16

Step-by-step explanation:

im wasting so many points on these
help please

Answers

Hello, again!! :p

I'm not sure about the whole equation because I was taught to solve it in a different way and I got the answer  =3 ± i√ 6 ,not a -3.

Sorry, I'm not sure if that was much help!

If y ♾x and y = 2 when x = 8, then y = 3 when x =

Answers

Answer:

12

Step-by-step explanation:

The Constant (K) is equal to 8/2 aka 0.25 making the formula now y = 0.25 × x

We have y as 3 so

3 = 0.25 × x we take the 0.25 to the other side by dividing on both sides.. this makes it cancel out on the right.

x is now equal to 3/0.25 which is 12. X = 12

Answer:

Is the answer 9 for the last x

Step-by-step explanation:

hope this helps

extrano a mi sobrina, what does the underlined word mean

Answers

Answer:

I miss my niece

Step-by-step explanation:

it's the meaning of that hope U get it ...

About what percentage of the data lies within 2 standard deviations of the mean in a normal distribution? 47. 5% 68% 95% 99. 7%.

Answers

The percentage of data that lies within 2 standard deviations of the mean in a normal distribution is 95%.

A normal distribution is a probability distribution that is symmetric around the mean of the distribution. This means that the there are more data around the mean than data far from the mean. A normal distribution is also known as the Gaussian distribution. When depicted on a graph, a normal distribution is bell-shaped.

For a normal distribution:

About 68% of the data lie within one standard deviation of the mean. About 95% of the data lie within two standard deviations of the mean. About 99.7% of the data lie within three standard deviations of the mean.

Please find attached an image of a normal distribution. A similar question was answered here: https://brainly.com/question/17101164

Answer:

I believe it is 95%

Step-by-step explanation:

Which graph represents an function

Answers

we kind of need to see the graphs to decide.
but the function is any graph that is completely straight and goes through the center (0,0)

write this equation in slope intercept form
(4, -3) (2, -9)

Answers

Answer:

[tex]y=3x-15[/tex]

Step-by-step explanation:

[tex]Slope=m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{-9-(-3)}{2-4}=\frac{-6}{-2}=3[/tex]

[tex]y=3x+b[/tex]

[tex]-3=3(4)+b[/tex]

[tex]-3=12+b[/tex]

[tex]-15=b[/tex]

[tex]y=3x-15[/tex]

[tex]\text{Given that,}\\\\(x_1,y_1) = (4,-3),~\text{and}~ (x_2,y_2) = (2,-9)\\\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-9+3}{2-4} = \dfrac{-6}{-2} = 3\\\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y -(-3) = 3(x-4)\\\\\implies y+3 = 3x -12\\\\\implies y = 3x -12 -3 \\\\\implies y = 3x -15\\\\\textbf{This is the slope - intercept form(y = mx +b), where m =3 and b =-15.}[/tex]

1. The price of one share of a stock fell 4 dollars each day for 8 days. How
much value did one share of the stock lose after 8 days?
2. A credit card company charges a late fee of 25 dollars each time a customer
fails to pay on time. A customer missed the payment 4 times last year. At
the customer's request and out of courtesy, the credit card company
decides to cancel all late fees for that year. Write a numerical expression to
show how much money was return.

Answers

Step-by-step explanation:

1.

$4 for 8 days. that means $4 on each and every day, 8 times.

so, in total that is 4 × 8 = $32

that is how multiplications work.

m×n means that m is added n times (or vice versa and n is added m times).

2.

similar here.

$25 each time the customer missed a payment. and he missed 4 times that year.

the bank returned the fees for all 4 occasions. so,

returned money = 25 × 4 = $100

the sum of -7x and 4x+2
pls help

Answers

I think it’s 8 sorry if the answer is wrong

27/70 in simplest form

Answers

it can be written as 0.385714 in decimal form and 27/70 is simplest form also

Answer:

27/70

Step-by-step explanation:

27/70 is the simplest form anyway

but it's 0.385 if we calculate

If the probability that the Islanders will beat the Rangers in a game is 1/3, what is the
probability that the Islanders will win exactly three out of three games in a series
against the Rangers? Round your answer to the nearest thousandth.

Answers

Answer:

1/3 ^ 1/3 * 1/3 = (1/3)^3 = 1/27

What is 22% of 60?

A) 1,320
B) 13.2
C) 27.3
D) 38

Answers

Answer:

B, 13.2

Step-by-step explanation:

Multiply 60 by 0.22 for your answer and you get 13.2

A math student goes to an office supply store and purchases a total of 16 spirals and pencils. Each spiral costs $3. 50, and each pencil costs $1. 25. If the student spent a total of $29, how many pencils did the student purchase?.

Answers

The student purchase 12 pencils

Let the total number of pencils purchased be xLet the total number of spirals purchased be y

If a math student goes to an office supply store and purchases a total of 16 spirals and pencils, then;

x + y = 16 .................. 1

If each spiral costs $3. 50, and each pencil costs $1. 25 and the student spent a total of $29, hence;

1.25x + 3.5y = 29 ................. 2

Solve both equations simultaneously

x + y = 16 .................. 1 * 1.25

1.25x + 3.5y = 29 ................. 2 * 1

__________________________________

1.25x + 1.25y =  20.

1.25x + 3.5y = 29

Subtract both equations

1.25y - 3.5y = 20 - 29

-2.25y = -9

y = 9/2.25

y = 4

Substitute y = 4 into equation 1:

x + y = 16

x = 16 - 4

x = 12

This means that the student purchase 12 pencils

Learn more on simultaneous equations here: https://brainly.com/question/15165519

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer c explanation

What fraction goes in the box to make it correct? 5/12×□=1

Answers

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\large\boxed{\mathbf {Your\ equation} :\mathsf{\dfrac{5}{12}\times\boxed{} = 1}}[/tex]

[tex]\large\textbf{We don't know the unknown number yet so we will}\\\large\textbf{label it as \boxed{f}}[/tex]

[tex]\large\boxed{\mathsf{\dfrac{5}{12}\times f = 1}}[/tex]

[tex]\large\boxed{\rightarrow\mathsf{\dfrac{5}{12}(f)= 1}}[/tex]

[tex]\large\textbf{MULTIPLY by }\mathbf{\dfrac{12}{5}}\large\textbf{ to BOTH SIDES}[/tex]

[tex]\large\boxed{\mathsf{\dfrac{12}{5}\times\dfrac{5}{12}f = \dfrac{12}{5}\times1}}[/tex]

[tex]\large\textbf{CANCEL out: }\mathbf{\dfrac{12}{5}\times\dfrac{5}{12}}\large\textbf{ because it gives you 1.}[/tex]

[tex]\large\textbf{KEEP: }\mathbf{\dfrac{12}{5}\times1}\large\textbf{ because it helps solve for the f-value.}[/tex]

[tex]\large\boxed{\mathbf{NEW \ EQUATION: }\mathsf{f = 1\times \dfrac{12}{5}}}[/tex]

[tex]\large\textbf{SIMPLIFY IT!}[/tex]

[tex]\huge\boxed{\textbf{Therefore, your answer: \boxed{\mathsf{f = \dfrac{12}{5}}}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Solve for x.

x2 + 4x - 21 = 0

Answers

2x + 4x - 21 = 0
6x - 21 = 0
6x = 21
x=3.5

If 15 out of 25 students are boys,what percent of the class is made up of boys?

Answers

Answer: 6%

Step-by-step explanation:

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