Evan needed to get his computer fixed. He took it to the repair store. The technician
at the store worked on the computer for 4.5 hours and charged him $97 for parts. The
total was $479.50. What was the cost of labor, per hour?

Answer:

25

Step-by-step explanation:

x/5-4=1

x/5=1+4

x/5=5

x=5×5

x=25

Answer:

What's f(x)?

Step-by-step explanation:

Answer:

-28

Step-by-step explanation:

-84/3=-28

-28 is the answer to the problem

The fraction of the brownies left is 1/12.

We need to find out what fraction of the brownies is left.

Let " r " denote the fraction that is left.

Then we have r + 1/4 + 2/6 + 1/3 = 1

⇒ r + 1/4 + 1/3 + 1/3 = 1 (Writing the fraction 2/6 in the simplest form)

⇒ r + 1/4 + 2/3 = 1

⇒ r + (3 + 8)/12 = 1 (taking LCM of 4, 3 and adding the fractions 1/4 and 2/3)

⇒ r + 11/12 = 1

⇒ r = 1 - 11/12

⇒ r = (12 - 11)/12

⇒ r  = 1/12.

Therefore, the fraction of the brownies left is 1/12.

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Disclaimer:

The fractions provided in the question are not clear.

Assuming the following to answer the given question.

Molly ate 1/4 of the brownies,

Milo ate 2/6 of the brownies, and

Morgan ate 1/3 of the brownies.

Answer:5.7 more miles that Tom has to drive

Step-by-step explanation: you add a extra zero to the 13 which would look like 13.0 and then put the 7.3 under 13.0 and it would look like this

13.0

 7.3 and you subtract like normal

Answer:

1e+21

Step-by-step explanation:

I believe this the answer

The probability that the number showing is a 3 is [tex]\frac{1}{6}[/tex].

Probability refers to the possibility of the occurrence of an event.

P(E) = probability of occurrence of an event E = [tex]\frac{Number Of Favourable Outcomes}{Total Number Of Outcomes}[/tex]

Now,

According to question, number of favorable outcomes = 1, i.e., the number 3 shows up on the die

And the total number of outcomes = 6

Hence, The probability that the number showing is a 3 is [tex]\frac{1}{6}[/tex].

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The graphed function is decreasing on this following interval:

(-5, 5).

Looking at the graph, we get that a function f(x) is decreasing when it is "moving southeast", that is, to the right and down on the graph, meaning that when x increases, y decreases.

From this problem, there is only one interval, from x = -5 to x = 5, hence the interval is (-5, 5).

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The comparison of the mean and median of the data set of the dot plot in the first part and the variability and outlier of the dataset in the box and whiskers plot in the second part are;

First part;

1. The median is greater than the mean.

2. Both the mean and median will increase

Second part;

1. School 1 has greater variability

2. The maximum value of school 1 is not an outlier

3. The new athlete needs to spend 21 hours or more

First part;

1. The value in the dot plot are;

10, 11, 12, 12, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 19

The number of data points = 36

The mean = The sum of the above data divided by 36

Using an online calculator of data sets, we have;

Therefore;

2. The addition of 60 to the dataset will increase the number of data points from 36 to 37, thereby changing the median, which is the middle value to the 19th number, which is 16, while the mean value will also increase to 16.405, therefore;

Second part;

1. A measure of variability of a box plot is the range, which is the difference between the largest and smallest values.

The range of school 1 is; 16 - 1 = 15

The range of school 2 is; 14 - 1 = 13

Therefore;

2. The maximum value of school 1 is 16

The inter quartile range of school 1 is; IQR = 10 - 4 = 6

An outlier = Q3 + 1.5 × IQR

Which gives;

An outlier ≥ 10 + 1.5 × 6 = 19

3. Q3 for school 2 = 12

IQR for school 2 = 12 - 6 = 6

Which gives;

Outlier for school 2 ≥ 12 + 1.5 × 6 = 21

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Answer:

No solution.

Step-by-step explanation:

4(18g - 12) = 12(6g -4) + 4

4(18g) - 4(-12) = 12(6g) - 12(-4) + 4

72g + 48 = 72g + 48 + 4

72g + 48 = 72g + 52

72g -72g + 48 = 72g -72g + 52

48 = 52  This is a false solution so there is no solution.  No value for x will make this equation true.

The value of h in the given diagram is 72 ft. The correct option is the third option 72

From the question, we are to calculate h. h is the height of the triangle

First, we will the determine half the length of the base of the triangle.

Half the length of the base of the triangle = 42 ft/2

Half the length of the base of the triangle = 21 ft

Thus,

By the Pythagorean theorem, we can write that

75² = 21² + h²

5625 = 441 + h²

h² = 5625 - 441

h² = 5184

h = √5184

h = 72 ft

Hence, the value of h in the given diagram is 72 ft. The correct option is the third option 72

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The two points that also lie on the circle are:

A (-3,-4) and D (5,0)

We know that a all the points on a circle are equidistant to the center of the circle, and in this case, the center is the origin (0, 0).

We know that the point (4, -3) lies on the circle, so the radius of the circle is:

R = √( (4 - 0)^2 + (-3 - 0)^2) = √25 = 5

So, any point that is at 5 units of the origin will also lie on the circle.

These points are:

A: (-3, -4)

R = √(  (-3 - 0)^2 + (-4 - 0)^2) = √25 = 5

And the point D: (5, 0)

R = √( (5 - 0)^2 + (0 - 0)^2) = √25 = 5

So the correct options are A and D.

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To the nearest cent, the amount she would have in 2 years is $44.10

What is future value of the deposit in savings account?

The future value of the savings account deposit is accumulated balance in the account after 2 years which includes the initial deposit plus interest earned over 2 years

FV=PV*(1+r)^N

FV=accumulated balance after 2 years=unknown

PV=initial deposit=$40

r=interest rate per year=5%

N=number of years that the deposit would last=2

FV=$40*(1+5%)^2

FV=$44.10

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The standard form of a line is simply a special way of writing the equation of a line. You are probably already familiar with the slope-intercept form of a line, y = mx + b. The standard form is just another way to write this equation and is defined as Ax + By = C, where A, B, and C are real numbers, and A and B are both not zero (see note below about other requirements). As you will see in the lesson below, every line can be expressed in this form.

Note that the requirements on A, B, and C vary a bit from textbook to textbook. While they technically can be any real numbers, it is most common to write them as integers and to keep A positive. It is also common to require that A, B, and C share no common factors.

Ax+By=C

THE STANDARD FORM OF A LINE: Ax+By=C

The result is referred to as the standard form of the line: Ax+By=C. We should always be able to convert from one form of an equation to another. For example, if we are given a line in the slope-intercept form, we should be able to express it in the standard form, and vice versa

he standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations

Now ,

A=0

B=0

A and B are not both zero, the graph of Ax + By = C is always a line.

when ,

The graph of Ax + By = C, where A and B are not both zero

A[tex]\neq[/tex]0

B[tex]\neq[/tex]0, is a line.

Divide both sides by B. Because the form Ax + By = C can describe any line,

it is called the standard form of an equation for a line.

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Answer:

2

Step-by-step explanation:

What you do to one side, you must do to the other.

When you add the 2 on one side of the = sign then you have to add the 2 on the other side. when you do that you will get 7 + 2. so the number in the green is 2. hope this helped a little!

Answer:

8, 18

Step-by-step explanation:

The absolute value is the distance of the point from 0. In this question, it would be the number itself.

Answer:

The answer would be 8 and 18

Step-by-step explanation:

To solve an equation containing absolute value, isolate the absolute value on one side of the equation. Then set its contents equal to both the positive and negative value of the number on the other side of the equation and solve both equations. Solve | x | + 2 = 5. Isolate the absolute value.

Answer:

8.013 x 10^3

Step-by-step explanation:

[tex]$$\begin{aligned}&T^{\prime}=-k(T-72) \quad T(0)=35 \text { (given) } \\&\frac{d T}{T-72}=-k d t-\left\{q^n(1)\right. \\&\text { Solphy } k g^n(1) \\&\ln (T-72)=0-k t+1 \\&T-72=e^{-k t+t} \\&T-72=e^{-k t} e^l \\&\text { let } e^r=C \\&T-72=C e^{-k t} \\&T=72+C e^{-k t} \\&T(t)=72+c e^{-k t}(2)\end{aligned}$$[/tex][tex]$T(t)=72+c e$ Now at $t=Q \mathrm{~mm} \quad T=42$ given Now at $t=Q \min T=$$$\begin{aligned}&\text { yed: } 72+4 e^{-k t} \\&35=72+c e^{-k 0} \\&C=-37 \\&\text { at }+=2 \text { min } T=42 \\&\text { a gaim puting in \&qn } \\&42=72-3+e^{-2 k}\end{aligned}$$[/tex][tex]$$\begin{array}{rl}-\frac{30}{37} & =e^{-2 k} \\e^{-2 k} & =\frac{30}{37} \\-2 k & =\ln \left(\frac{30}{37}\right) \\k & =0.1048 \\p 1 h y & m n \\T(t) & =72-37 e^{-0.1048+} \\T(15) & =72-37 e^{-0.1048 \times 15} \\T(15) & =72-37 \times 1 \\T(15) & =64.31 \\& =\end{array}$$[/tex]

The unit is the degree Fahrenheit, represented by the sign °F. There are various accounts of how he initially defined his scale, but the initial paper suggests that the lower defining point, 0 °F, was established as the freezing temperature of a brine solution made from a combination of water, ice, and ammonium chloride (a salt). The other limit established was his best estimate of the average human body temperature, originally set at 90 °F, then 96 °F (about 2.6 °F less than the modern value due to He did, however, mention a midpoint at 32 °F, which would be the temperature of ice water.

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Answer: the answer is c!

Step-by-step explanation:

Answer: y = 12/11 x + -12/11

Step-by-step explanation:

m = y2 -y1/x2 -x1

x1 = -4

x2 = 7

                  into m = y2 - y1/x2 -y1

y1 = -7

y2 = 5

m = 12/11

x = -4            into y = mx + b

y = -7

b = - 12/11

y = 12/11x + -12/11 into

y = mx + b :

y + 12/11x + -29/11

The inverse of the given linear function is of:

R^(-1)(x) = (x - 2)/3

The graph is given at the end of the answer.

A linear function is modeled by the following rule:

y = mx + b

In which:

For function R, in blue, we have that when x = 0, y = 2, hence the intercept is of b = 2 and:

R(x) = mx + 2.

When x = 1, y= 5, when x = 2, y = 8, that is, when x changes by 1 y changes by 3, meaning that the slope is of m = 3, and:

R(x) = 3x + 2.

To find the inverse function, we exchange x and y in the original function, then isolate y.

For function R(x), we have that:

y = 3x + 2.

Then the inverse is found as follows:

x = 3y + 2

3y = x - 2

y = (x - 2)/3

R^(-1)(x) = (x - 2)/3

The graph of R(x) in blue and of R^(-1)(x) in blackis given at the end of the answer. Since they are inverses, they are symmetric over the line y = x.

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Answer:

The change in direction or bending of a light wave passing from one transparent medium to another; caused by the change in wave's speed is known as “Refraction”. Pencil appears bent in water because of the refraction of light rays

Step-by-step explanation:

The percentage of right-handed people is 1%.

Percent signifies out of one hundred. It is frequently represented by the symbol "%," even when there aren't 100 entries. After that, the figure is scaled so that it can be put in comparison with 100. Additionally, changes in numerical quantities are denoted by percentages.

We have a bowl of fruit, for instance, with three apples and one orange. Three out of four, or 3/4, or 75 out of 100, or 75 percent, are apples.

A ratio can also be expressed as a fraction or decimal in addition to being written as a percentage. There are methods for converting decimals or fractions to percentages.

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Answer:

steps

12-(8+1)^2

=12-9^2

12-81

=-69

Step-by-step explanation:

Step-by-step explanation:

- 4.3 its the same as (-4.3)