An air conditioning repair services charges $85.00 per hour, plus a diagnosis fee of $75.00. If the repair costs a total of $385.00, which of the following equations best represents the situation?

Answers

Answer 1
Answer:

Answer:

you have to put in the answers.

Answer 2
Answer:

Answer:

$385.00 = $85.00 * 3.647 + $75.00

Step-by-step explanation:

The equation that best represents the situation is:

Total Cost = Hourly Rate x Repair Time + Diagnosis Fee

In this case, the hourly rate is $85.00 and the diagnosis fee is $75.00. We are given that the total cost is $385.00. Let's represent the repair time as "t" in hours.

So, we can write the equation as:

$385.00 = $85.00 * t + $75.00

To solve for the repair time "t", we need to isolate the variable.

First, we subtract $75.00 from both sides of the equation:

$385.00 - $75.00 = $85.00 * t

Simplifying, we get:

$310.00 = $85.00 * t

Next, we divide both sides of the equation by $85.00 to solve for "t":

$310.00 / $85.00 = t

Using a calculator, we find that t is approximately 3.647, which means the repair time is approximately 3.647 hours.

Therefore, the equation that best represents the situation is:

$385.00 = $85.00 * 3.647 + $75.00


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Complete the equation to show two equivalent expressions.

g2 – 4g – 21 = (g – )(g + )

Answers

Answer:

g^2-4g-21=(g-7)(g+3)

Step-by-step explanation:

To complete the left side of the equation, we need to bring it to the form

(g-a)(g+b)

expanding this expression we get:

g^2+bg-ag-ab

g^2+(b-a)g-ab

Thus we have

g^2-4g-21=g^2+(b-a)g-ab

from here we see that for both sides of the equation to be equal, it must be that

b-a=-4

-ab=-21.

Getting rid of the negative signs we get:

a-b=4

ab=21

At this point we can either guess the solution to this system (that's how you usually solve these types of problems) or solve for a and b systematically.

The solutions to this set are a=7 and b=3. (you have to guess on this—it's easier)

Therefore, we have

(g-a)(g+b)=(g-7)(g+3)

which completes our equation

\boxed{ g^2-4g-21=(g-7)(g+3)}

Answer: -7 and +3

did the assignment

What is the answer to this problem
8x-2=-9+7×

Answers

8x−2=−9+7x

Simplify:

8x−2=−9+7x

8x+−2=−9+7x

8x−2=7x−9

Subtract 7x from both sides.

8x−2−7x=7x−9−7x

x−2=−9

 Add 2 to both sides.

x−2+2=−9+2

x=−7

you want like terms on the same side. so you want x on the same side
subtract 7x from 8 x = x
add 2-9 = -7
now you have x= -7

Which of the following is true of the data set represented by the box plot?a. The data contains at least one outlier.

b. The mean and median are most likely the same or very close.

c. The data are skewed to the right.

d. The median is 11.

Answers

i would put the answer as b
B the median and mean are very close or the same because the box plot is very symmetrical

What is the perimeter of the triangle?

Answers

Answer:

To find the perimeter of the triangle, you need to add up the three sides of the triangle

     /\

1 /__\ 5

     9

1+5+9

_________________________________

Hey!!

Theformulatofindperimeteroftriangleisa+b+c

Forexample:

Ifatrianglehasthesidesof5,4and3respectively,thentofindtheperimeteroftriangle,wehavetousetheformulaa+b+cwhichequalsto12.

Hopeit helps

Goodluck on your assignment

___________________________________

Write y=1/8x+7 in standard form using integers.

Answers

This is a linear function in the slope - intercept form:
y = m x + b and we need a standard form:
a x + b y = c
y = 1/8 x + 7   / * 8 ( we will multiply both sides of equation by 8 )
8 y = x + 56
- x + 8 y = 56  / * ( - 1 )
x - 8 y = - 56

The equation is  y = 1/8x + 7

Standard form equation is Ax + By = C,  where A > = 0.

First eliminate the fractions by multiplying the equation by 8

8y = x + 56

Subtract x from each side

-x + 8y = 56

SInce x coeficient can't be negative multiply the equation by negative one.

x - 8y = -56

Find the area of a 45°-45°-90° triangle with a hypotenuse of 24. a. 144 square units c. 99 square units b. 125 square units d. 100 square units

Answers

area=1/2 times base times height


remember that 45-45-90 triangle has sides of x,x and x√2
(legs are measure x and hypotonuse=x√2)

the legs are equal and are also the base and height
find the legs (x=leg)


hypotonuse=24
24=x√2
divide both sides by √2
24/(√2)=leg=base=height

volume=1/2 times base times heigth
V=1/2 times (24/√2) times (24/√2)
V=1/2 times (576/2)
V=576/4
V=144 units^2


answer is A