At Zach's auto shop each mechanic can change the oil 3 cars per hour. Zach can have up to 4 mechanics working at a time. In a relationship between number of oil changes per hour and number of mechanics working identify the independent variable dependent variable domain and range

Answers

Answer 1

Answer:

We know that:

Each mechanic can change the oil of 3 cars per hour.

The number of mechanics can change between 0 and a maximum of 4.

Then we can write the variable:

Y = number of oil changes per hour.

Y = 3*X

Where X is the number of mechanics working.

The independent variable is X (number of mechanics), because is the one that Zach can change, and the dependent is Y (number of oil changes) because this depends on the value of X.

Now, the domain will be: {0, 1, 2, 3, 4}

The possible numbers of mechanics working at the same time.

And for the range we must replace those values in our equation, and see the possible values of Y.

Y(0) = 3*0 = 0

Y(1) = 3*1 = 3

Y(2) = 3*2 = 6

Y(3) = 3*3 = 9

Y(4) = 3*4 = 12

Then the range is: {0, 3, 6, 9, 12}


Related Questions

Solve for x:





A. 13


B. 14


C. 12


D. 11

Answers

[tex]\\ \sf\longmapsto \dfrac{BQ}{DQ}=\dfrac{RC}{CD}[/tex]

[tex]\\ \sf\longmapsto \dfrac{26}{39}=\dfrac{18}{x}[/tex]

[tex]\\ \sf\longmapsto \dfrac{2}{3}=\dfrac{18}{x}[/tex]

[tex]\\ \sf\longmapsto 2x=54[/tex]

[tex]\\ \sf\longmapsto x=27[/tex]

What is the surface area of the figure below?
6 m
4 m
8 m

Answers

Answer:

192m

Step-by-step explanation:

6m x 4m x 8m = 192m


[tex]5x - 3 = 3x + 7[/tex]

Answers

Answer: x = 5

Explained:

5
x

3
=
3
x
+
7
Step 1: Subtract 3x from both sides.
5
x

3

3
x
=
3
x
+
7

3
x
2
x

3
=
7
Step 2: Add 3 to both sides.
2
x

3
+
3
=
7
+
3
2
x
=
10
Step 3: Divide both sides by 2.
2
x
2
=
10
2
x
=
5

la suma entre el triple de un numero y el doble de su consecutivo es 37 ¿cuál es el número?

Answers

Answer:

18

Step-by-step explanation:

(n+1) 2 for n=-9 what is the answer
to this problem

Answers

Answer:

-16

Step-by-step explanation:

(n+1) 2 n=-9

Step 1 Plug in -9 for n:    (-9+1)x 2

Step 2 Add -9 and 1:      -8x2

Step 3 Multiply -8 and 2:  -16


The graph represents the speed at which Pete's marble travels.
The speed of Stephano's marble is represented by the equation f = 2.25s, where fis the distance in feet and s is the time in seconds.
Whose marble will reach the 6-foot mark sooner?

Answers

Answer:b

Step-by-step explanation:

Answer:  Stephano's marble will reach the mark sooner.

Need help I’m confused question is 7.50 per hour washing cars Graph the relationship between the number of hours Gilbert works and the total amount of money he earns .

Answers

Answer:

You would start your graph at (1,7.5) (2, 15) (3, 22.5) (4, 30) (5, 37.5)  

Step-by-step explanation:

What you do is for every hour you add 7.50. I don' know how many hours you need to graph so I just gave you the first five, But you should start to see a pattern, just continue with the pattern and you will get it right! Hope this helps!

#18 please help gang gang

Answers

Answer:A

Step-by-step explanation:

270/630 x 100= 43

answer: A

Step-by-step explanation:

270/630x100 =45

A certain health insurance plan costs $3000 per year for a family of six. If each member of the family has $750 in medical expenses in a year, and the plan pays 100 percent of those expenses, how much will the family save by purchasing the plan?

Answers

Answer:

I think its $1,500

Step-by-step explanation:

6 times 750 = 4,500

4,500- 3,000= 1,500

I having a bit of trouble with this one, i still can’t understand this.

Answers

Answer:  x = 5

Step-by-step explanation:

(3x + 22) and (3x + 128) are supplementary angles, which means that they add up to 180, so we can write our equation.

(3x + 22) + (3x + 128) = 180

   3x + 22 + 3x + 128 = 180

                   6x + 150 = 180

                             6x = 30

                                x = 5

Trigonometry that’s due in one hour :(

Answers

Answer:

(a)  [tex]\theta=\tan^{-1}(-0.890)[/tex]

[tex]\implies \theta=-41.66908262 \pm 180 \textdegree n[/tex]

[tex]\implies \theta=138.3309174..., 318.3309174...[/tex]

[tex]\implies \theta=138\textdegree, 318\textdegree[/tex]

(b)  [tex]\theta=\cos^{-1}\left(\dfrac{\sqrt{3} }{2}\right)[/tex]

[tex]\implies \theta=30 \textdegree \pm360 \textdegree n, 330 \textdegree \pm360 \textdegree n[/tex]

[tex]\implies \theta=30 \textdegree , 330 \textdegree[/tex]

(c)  [tex]\theta=\sin^{-1}\left(\dfrac{1 }{2}\right)[/tex]

[tex]\implies \theta=30 \textdegree \pm360 \textdegree n, 150 \textdegree \pm360 \textdegree n[/tex]

[tex]\implies \theta=30 \textdegree , 150 \textdegree[/tex]

Single term algebraic expression is called?

Answers

Answer:

A Monomial

A single term algebraic expression is called:

Constant term

Step-by-step explanation:

A term of an algebraic expression that has a fixed numerical value in all situations and does not have any variable is called the constant term of an algebraic expression.

Example:
The algebraic expression 5x + 2y + xy + 10, 10 is the constant term of the expression.


Have a great rest of your day
#TheWizzer

Single term algebraic expression is called ''Monomial''.

What is Monomial?

The monomial is a product of powers of variable with non negative integer exponent. It is the algebraic expression with single term.

Given that;

Single term in algebraic expression.

Now,

Since, We know that;

The algebraic expression with single term is called ''Monomial''.

And, The algebraic expression with double term is called ''Binomial''.

Thus, Single term algebraic expression is called ''Monomial''.

Learn more about the monomial visit:

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What is the value of the expression 30 - 9+ 3 - (12 = 4)?

Answers

Answer:

21

Step-by-step explanation:

30 - 9 +3

30 - 12

18

18 - 12=4

      12/4 = -3

18 - -3

21

the answer is 21

30 - 9 = 21
21 + 3 = 24
12 divided by 4 = 3
24 - 3 = 21


21 is the answer once again

The function f(x) is defined below. What is the end behavior of f(x)?

Please help!!

Answers

you're answer would be number 3

Miss Alison drew a box and whisker plot to represent her students scores on a midterm test. James received 47 on the test. How does James score compare to his classmates?

Answers

Answer: A

Step-by-step explanation:

About 25% scored higher; about 75% scored lower.

Two months ago, the mean daily rainfall in a local city was 9. 4 cm. The mean absolute deviation was 3. 5 cm. Last month, the mean daily rainfall in that city was 11. 5 cm, and the mean absolute deviation was 1. 6 cm. Which statement about the rainfall is true? More rain fell two months ago than last month. About the same amount of rain fell two months ago as last month. Last month, the amount of rain that fell each day varied about the same as the month before. Last month, the amount of rain that fell each day varied less than the month before.

Answers

Last month the amount of rain that fell each day varied about the same as the month before is the right statement about the rainfall, Option c is correct.

What is the mean absolute deviation?

The average distance between each data point and the mean is the mean absolute deviation of a dataset. It offers us an indication of how variable a dataset is.

The  given data in the problem is;

Two months ago,

The mean daily rainfall in a local city was 9. 4 cm.

The mean absolute deviation was 3. 5 cm

Last month

The mean daily rainfall in that city was 11. 5 cm

The mean absolute deviation was 1. 6 cm.

We can see that there was less variation last month than the month before since the mean absolute deviation is a measure of variance.

Hence Last month the amount of rain that fell each day varied about the same as the month before is the right statement about the rainfall, Option c is correct.

To learn more about the mean absolute deviation refer to the link;

https://brainly.com/question/10528201

HELP IN ONE HOUR AND I GIVE U THE BRIANLIEST

Answers

Calculate the area of the floor:

Area = 1.6 x 2.3 = 3.68 square meters

Using the given formula: Pressure = force/area

200 = force / 3.68

Solve for force by multiplying both sides by 3.68

Force = 200 x 3.68

Force = 736 N/m^2

Correct to the nearest 5N/m^2 = 735 N/m^2

First of all we need to calculate the area of the floor and then we will find the pressure using the formula for pressure...

[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]

Area of floor

Length = 1.6 meterBreadth = 2.3 meter

[tex] \sf \: area = length \times breadth[/tex]

[tex] \sf \: area = 1.6 \times 2.3[/tex]

[tex] \sf \: area = 3.68 \: {m}^{2} [/tex]

[tex]\purple{ \rule{300pt}{3pt}}[/tex]

Finding force ↯

Pressure = 200 N/m²Area = 3.68 m²

[tex] \tt \: pressure = \frac{force}{area} [/tex]

[tex] \tt \: 200 = \frac{force}{3.68} [/tex]

[tex] \tt \: force = 200 \times 3.68[/tex]

[tex] \tt \: force = 736 \: newton[/tex]

Thus, The maximum force is 736 Newton...~

divide the sum of 7/9 and 2/3 by 5/3​

Answers

Answer:13/15

Step-by-step explanation:

Add 7/9 and 2/3 the answer is 13/9 then divide it by 5/3 in order for you to divide get the reciprocal of 5/3 which is 3/5 then multiply it and you well get 13/15

Answer:

13/15

Step-by-step explanation:

The answer is 13/15 because:

1) In order to figure out what 7/9 + 2/3 is, we need to find the common denominator. The common denominator is 9 because 3 contains the factor 9.

7/9 + 6/9 = 13/9

We need to multiply the denominator to get to 9: 3 x 3 = 9. We have to multiply the numerator as well: 2 x 3 = 6.

2) Next, we have to divide 13/9 and 5/3. In order to divide we have to find the reciprocal of the second number. Reciprocal means to flip the fraction. The reciprocal of 5/3 is 3/5.

3) Finally, we just have to multiply 13/9 and 3/5 which is 39/45. 39/45 in simplest form is 13/15.

Hope this helps! :D

50 POINTS FOR CORRECT AWNSER!

Answers

Answer:

[tex]y\leq \dfrac12x+3[/tex]

Step-by-step explanation:

Choose 2 points on the line:  (-6, 0) and (0, 3)

Let [tex]\sf (x_1,y_1)=(-6,0)[/tex]Let [tex]\sf (x_2,y_2)=(0,3)[/tex]

[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-3}{-6-0}=\dfrac12[/tex]

point-slope form of linear equation:  [tex]\sf y-y_1=m(x-x_1)[/tex]

[tex]\implies \sf y-0=\dfrac12(x-(-6))[/tex]

[tex]\implies \sf y=\dfrac12x+3[/tex]

Solid line : ≤ or ≥

Dashed line: < or >

Therefore as the line is solid, and the shading is below the line,

[tex]\implies \sf y\leq \dfrac12x+3[/tex]

(0,3)(2,4)

Slope:-

[tex]\\ \tt\Rrightarrow m=\dfrac{4-3}{2}=1/2[/tex]

Equation of line in point slope form

[tex]\\ \tt\Rrightarrow y-3=1/2x[/tex]

[tex]\\ \tt\Rrightarrow y=1/2x+3[/tex]

Equation of shaded region

[tex]\\ \tt\Rrightarrow y\leqslant 1/2x+3[/tex]

What value for k would make the following equation have all solutions? k(x - 6) = 18 - 3x

*Answer Choices*:

k = -3

k = 6

k = -6

k = 3

Answers

Answer:

Your answer is: A) k = -3

Step-by-step explanation:

Hope this helped : )

What value of x is in the solution set of 9(2x + 1) < 9x - 18?
04
0 -3
0 -2
0-1

Answers

Let's solve for x

9(2x+1) < 9x - 18

18x+9 < 9x-18

18x-9x < -18-9

9x < -27

x < -27/9

x < -3

Any value smaller than -3 is in the solution set

That means we have {-4, -5, -6, ...} as our solution set if x was only allowed to be an integer.

We can rule out choices B through D because of this. Only choice A remains, which I'm assuming you meant to say -4 instead of simply 4. If choice A says -4, then this is the answer.

If it doesn't say -4, then that isn't the answer and none of the answer choices work.

Note: if your original inequality is [tex]9(2x+1) \le 9x-18[/tex] then it solves to [tex]x \le -3[/tex] allowing x = -3 to be part of the solution set now. If you have an "or equal to" then that means B) -3 is the answer.

It seems like there might be a typo somewhere so I would double check.

3. Convert 3.4 miles to yards.
53,856 yards
5984 yards
1553 yards
O 1760 yards

Answers

Answer:

5894

Step-by-step explanation:

1  mile is 1760

so multiply 1760 by 3.4

Look at the time on the following clocks


How much time has passed between the first clock and the second clock.

Answers

Answer:

41 minutes

Step-by-step explanation:

it is 41 minutes

Solve.

2x – (3 – x) > x + 1

Answers

Answer:

x>2

Step-by-step explanation:

2x-3+x>x+1

3x-3>x+1

2x>4

x>2

twelve mangoes are to be shared in the ratio of 2:3:1.How many mangoes will each person get​

Answers

4:6:2
this is because 2+3+1 is 6 and you divide that by 12 which is 2 and you times 2 to every ratio

The graph below shows the relationship of the
amount of time (in seconds) to the distance (in
feet) run by a jaguar.

What does the point (5,290) represent in the
context of the situation?

Answers

It tells you that the jaguar ran 290 feet in 5 seconds.

The point (5, 290) denoted that the jaguar has run a distance of 290 feet in 5 seconds.

Jaguar speed is 58 feet per second.

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

Each point on the graph denotes the speed of the jaguar.

Point (5, 290) denotes that in 5 seconds the jaguar has run 290 feet.

The speed of the jaguar.

= Distance / Time

= 290/5

= 58 feet

Thus,

The speed of the jaguar is 58 feet per second.

Learn more about coordinates here:

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I’m to lazy to do this page of my homework. Can someone do it. I will give Brainliest!!!

Answers

Q9

50% of 60 minutes is 30 minutes

0.50 * 60 = 30

Q10

10% of 60 minutes is 6 minutes

0.10 * 60 = 6

Q11

75% of 60 minutes is 45 minutes

0.75 * 60 = 45

Q12

the order is, 65% of 80, 170% of 30, 82% of 50

0.65 * 80 = 52

0.82 * 50 = 41

1.70 * 30 = 51

Q13

200,000 * 0.01x = 130,000

130,000/200,000 = 0.65

0.65/0.01 = 65

the plane used 65% of fuel capacity on this flight

Answer:

Step-by-step explanation:

1) 50% of 60 minutes is 30 minutes

2) 10% of 60 minutes is 6 minutes

3) 75% of 60 minutes is 45 minutes

4) 52%

5) 41%

6)51%

FINAL QUESTION:

260,000,000 fuel used

what are the values of a and b?​

Answers

Answer:

A

[tex]\boxed{a=\frac{9}{2}}}[/tex]

[tex]\boxed{b=\frac{15}{2}}[/tex]

Step-by-step explanation:

By ratio and proportion

Let's solve for "a" first:-

[tex]\cfrac{a}{6} =\cfrac{6}{8}[/tex]

[tex]8a=36[/tex]

[tex]\cfrac{8a}{8}=\cfrac{36}{8}[/tex]

[tex]\boxed{a=\frac{9}{2}}}[/tex]

Now, Let's solve for "b":-

[tex]\cfrac{b}{6} =\cfrac{10}{8}[/tex]

[tex]8b=60[/tex]

[tex]\cfrac{8b}{8}=\cfrac{60}{8}[/tex]

[tex]\boxed{b=\frac{15}{2}}[/tex]

Therefore, your answer is A!!!!

~

Help with 2 questions pls.......Due at 6:00

Use distributive property to find each product

1. 3(26)

2. (18)9

Answers

Answer:

1.) 78

2.) 162

Step-by-step explanation:

you just multiply the number outside of the parentheses by the one inside them lol

what expression is equal to 20+30

Answers

Answer: 50 right?

Step-by-step explanation:

Answer:

30 plus 20

Step-by-step explanation:

or 15 35

25 25

or 0 59

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