4. A math tutor makes $12 an hour for the first 40 hours she works during a week and $24 an hour for each hour over 40 hours. As an exercise for her students, she had them graph her total weekly pay in dollars as it relates to her number of hours worked. Now you will do the same. (6 points: Part I - 1 point; Part II - 2 points; Part III - 1 point; Part IV - 2 points)
Part I: What equation models the tutor's total weekly pay y in dollars as it relates to the number of hours x that she has worked if the tutor has worked 40 hours or fewer?








Part II: What equation models the tutor's total weekly pay y in dollars as it relates to the number of hours x that she has worked if the tutor has worked more than 40 hours?








Part III: Combine the slope-intercept equations found in parts I and II into one piecewise equation.








Part IV: Graph the tutor's total weekly pay in dollars as it relates to her number of hours worked by using the piecewise equation from part III and the coordinate grid below.

4. A Math Tutor Makes $12 An Hour For The First 40 Hours She Works During A Week And $24 An Hour For

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

Part I

When x ≤ 40, the equation is

y = 12xPart II

When x > 40

y = 12*40 + 24(x - 40) ⇒ y = 24x - 960 + 480   ⇒y = 24x - 480Part III

[tex]y = \left \{ {12x, if x < or = 40 \atop {24x - 480, if x>40}} \right. \\[/tex]

Part IV

The graph is attached

4. A Math Tutor Makes $12 An Hour For The First 40 Hours She Works During A Week And $24 An Hour For

Related Questions

find y when y = 3x^2 -2x+5 and x = -1

Answers

Answer:

the answer is y=10

PLEASE HURRY!! Will give brainly
Find the slope and y intercept for y = 3x - 2.

Answers

The slope is 3 cause m=3 so slope would be 3
The slope is 3/1. And the y intercept is -2


Brinlyn increased the amount of water she drank per day from 32 oz to 40 oz. By what percentage did Brinlyn increase the amount of water she drank each
day?

Answers

Answer:

20%

Step-by-step explanation:

Answer: 25%
Explanation: 40/32 = 1.25

2x-3y=4 x+3y=29
A. ( - 11, 3)
B. (11, - 3)
C. (3, 11)
D. (11, 3)

Answers

Answer:

Step-by-step explanation:

2x-3y=4 x+3y=29

Hmmm I got (11,6) and I did it two different ways. Are these the only answers?

Answer:

(11, 6)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

2x - 3y = 4

x + 3y = 29

Step 2: Rewrite systems

2x - 3y = 4

x = 29 - 3y

Step 3: Solve for y

Substitute in x:                    2(29 - 3y) - 3y = 4Distribute 2:                        58 - 6y - 3y = 4Combine like terms:           58 - 9y = 4Isolate y term:                     -9y = -54Isolate y:                              y = 6

Step 4: Solve for x

Define:                         x + 3y = 29Substitute in y:            x + 3(6) = 29Multiply:                       x + 18 = 29Isolate x:                      x = 11

Step 5: Check

Graph the systems of equations to verify the solution set.

What is 15% of 140? A.2,100 B.30 C.21 D.119​

Answers

Answer:

21

Step-by-step explanation:

u do 140 divided by .15

5 and 2/3 divided by 4?

Answers

Make them into fractions
17/3 divided by 4/1
Divide = multiply reciprocal
17/3 * 1/4 = 17/12
The answer is 17/12

Answer:

1.41 it’s a infinity answer

Step-by-step explanation:

Evaluate each value expression for the given value of the variable : x+x+5 when x=7
QUICK PLSSSSSS

Answers

Answer:

19

Step-by-step explanation:

x = 7, so we have:

7 + 7 = 14

14 + 5 = 19

Answer:

19

Step-by-step explanation:

you replace the x with a seven. so it will look like

7+7+5= 19

What is the equation of the line that passes through the points (4, 5) and (7, 3)

Answers

Answer:

y = -2/3x + 23/3

Step-by-step explanation:

Let equation of the line be y = mx + c

m = (3-5)/(7-4) = -2/3 gradient/slope formula

sub (4, 5)

5 = -2/3 (4) + c

c = 23/3

therefore, equation of the line is y = -2/3x + 23/3

Hope it helps! :)

This is a topic called coordinate geometry. If you would like to find out more you can follow learntionary on instagram. I'll be posting some notes on coordinate geometry soon and I'll also post other useful math stuff as well :)

Evaluate: 5m when m=8
FAST AND HURRY!!

Answers

Answer:

40

Step-by-step explanation:

If m = 8, then you would multiply 5 by 8

So the answer is 40

Hope this helps :)

Answer:

5m when m = 8 is 40

Step-by-step explanation:

When you substitute (replace) m with 8, it becomes 5(8).

5(8) means 5 multiplied by 8, which gives you 40.

To check, dividing 40 by 5 is 8. Dividing 40 by 8 is 5.

Hope this helped! :)

3x²+5x-10=0 find the values of a,b and c​

Answers

Answer:

a = 3

b = 5

c = -10

Step-by-step explanation:

ax^2+bx+c

On a map, the distance between NY and Washington D.C. is 3.6 inches. The scale is 1 inch: 55 miles. What is the actual distance between the two cities?

Answers

3.6 in= 55 miles
55x3= 165
55/6= 9
165+9= 174
174 miles

Kathryn owns a video store. She rents games for 4 and moves for 4 She must rent at least 84 to make a profit She does not have anymore than 20 games Write and solve the system

Answers

Answer:

Katherine will rent at least 64 movies and 20 games to make a profit

Step-by-step explanation:

The given parameters are;

The amount for which she rents games = 4

The amount for which she rents movies = 4

The number of games and movies she most rent to make profit = 84

The number of games she ≤ 20

Let x represent the number of games, let y represents the number movies, we have;

x + y ≥ 84

x ≤ 20

64 ≤ y ≤ 84

The graph of the inequality created with Microsoft Excel showing the feasible region is included

The selling price of an item is ​$480. It is marked down by ​10%, but this sale price is still marked up from the cost of ​$. Find the markup from cost to sale price.

Answers

Answer:

Markup = [(Revenue – COGS) / COGS] X 100.

Markup = (Gross Profit / COGS) X 100.

Markup = [(Revenue – COGS) / COGS] X 100.

Markup = [($400 – $250) / $250] X 100.

Selling Price = [(Markup X COGS) + COGS] X 100.

Selling Price = (Markup X COGS) + COGS.

Selling Price = (0.50 X $100) + $100.

Step-by-step explanation:

um i think this is the answer

Answer: can someone help with my question really need help its a test.

Step-by-step explanation:

9999999

help! i'm not sure how do this so if someone can explain that would be nice :) ​

Answers

Answer:

In slope intercept form it would be y=-1/2x+3

Step-by-step explanation:

THIS IS AN EXAMPLE ON HOW TO GET SLOPE INTERCEPT FORM. start with the point slope form y-y1=m(x-x1) and solve for y. y-8=2(x-6) so y-8=2x-12, add 8 to end up with y=2x-4. 2) start with slope intercept form and solve for b, then substitute that back in: y=mx + b, so 8=2(6)+b, 8=12+b, subtract 12 to get b=-4, therefore equation is y=2x-4.

A phone company charges a base fee of $25 per month plus an additional charge per minute. The monthly phone cost can be represented by this equation: C=25+ a·m/4, where a is the additional charge per minute, and m is the number of minutes used. How can we re-write this equation to solve for the additional charge per minute?
PLZ HURRY

Answers

Answer:

C=25+(a*m)

just simplyfy what it was doing

Is 2.88 rational or irrational

Answers

Answer:

rational

Step-by-step explanation:

A rational number can be expressed in the form

[tex]\frac{a}{b}[/tex] ← where a and b are integers

Given

2.88

= 2 [tex]\frac{88}{100}[/tex]

= [tex]\frac{2(100)+88}{100}[/tex]

= [tex]\frac{288}{100}[/tex] ← in rational form

Answer:

2.88 is a rational number.

Step-by-step explanation:

A rational number is a number that can be expressed as a ratio or fraction. Since we can write 2.88 as a fraction, (72/25) we know that it is a rational number.

Other examples of rational numbers include:

-4

8

9/3

8.28

8.999999999...

Identify the independent variable (domain).

5x+2y= 150

Answers

Answer:

The independent variable is x

Step-by-step explanation:

In the equation y = m x + b

m is the rate of change ⇒ constantb is the initial value ⇒ constantx is the domain ⇒ inputy is the range ⇒ output

x is the independent variable because it does not depend on any value

y is the dependent variable because it depends on the value of x

Let us solve the question

∵ 5x + 2y = 150

→ Put it in the form above by subtracting 5x from both sides

∵ 5x - 5x + 2y = 150 - 5x

∴ 2y = 150 - 5x

→ Divide each term by 2 to make the coefficient of y equal 1

∴ y = 75 - 2.5x

y = -2.5x + 75

→ Compare is by the form above

∴ m = -2.5 and b = 75

x is the independent variable (domain)

∴ y is the dependent variable (range)

There were 12 girls 9n the basketball team. 3 of them scored over 10 points in the game. What fraction represents the number of the girls on the team that scored over 10 points on the game?

Answers

Answer:

1/4

Step-by-step explanation:

i know

The manufacturers of can of salted mixed nuts state that the ratio of peanuts to other nuts is 6 to 5 . If 414 peanuts are in a can how many other nuts should also be in the can

Answers

Answer:

345 other nuts

Step-by-step explanation:

Ratio problem, we are going to use the part to all approach

Step one:

given data

the ratio of peanuts to other nuts is 6 to 5

otherwise expressed as 6:5

the total ratio is 6+5= 11

the total number of peanut is 414

let the other nuts be x

6/5=414/x

cross multiply we have

414*5= 6x

2070=6x

divide both sides by 6

x=2070/6

x=345

345 other nuts

Graph the equation y= -1/2x

Answers

Answer: I can’t show you a graph, however I can explain how to graph it.

First make a graph that has a y and x axis with 4 numbers going up, down, left, right. At intervals of 1. Plot a dot at 0 or the center, and then move one up and two to the left, then plot a dot there. Repeat that one more time if you made a graph like I explained. Then, on the other side of the graph do the same thing except instead of 1 up, two to the left, it’s one down two to the right. Repeat that one more time and that should be your graph.

The graph of equation y = - 1/2x is shown in attached image.

We have to given that,

Equation is,

⇒ y = - 1/2x

Since, The equation of line in slope intercept form is,

y = mx + c

Where, m is slope and c in y - intercept.

Here, equation is,

y = - 1/2x

Hence, It is passes through origin.

Therefore, The graph of equation y = - 1/2x is shown in attached image.

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Oliver earns $4 a day for 7 days for doing chores. Each day, his mom takes $2 and put it into a savings account for Oliver. How much money does Oliver get to keep after 7 days?

Answers

Answer:

$14

Step-by-step explanation:

Oliver earnings per day = $4

Each day, his mom takes $2 and put it into a savings account for Oliver

His savings per day = $2

Oliver's total savings after 7 days = savings per day × 7 days

= $2 × 7

= $14

Oliver gets to keep a total of $14 after 7 days

Secant and Tangent Angles in circles.
Solve for x.

Answers

Answer:

x = 1

Step-by-step explanation:

5x + 17 = 1/2[(73x + 5) - (23x - 5)]

5x + 17 = 1/2[37x + 5 - 23x + 5]

5x + 17 = 1/2[14x + 10]

5x + 17 = 1/2 * 2(7x + 5)

5x + 17 = 7x + 5

5x - 17x = 5 - 17

-12x = - 12

x = - 12/-12

x = 1

A circle is a curve sketched out by a point moving in a plane. The value of x that will make the Secant and Tangent Angles true for the circle is 17/25.

What is a circle?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

For the given circle, as per the Secant and Tangent Angles theorem, the measure of the angle formed by two tangents can be written as,

∠WVU = (arc WU + arc WU)/2

5x + 17 = [(37x + 5) + (23x - 5)]/2

2(5x + 17) = (37x + 5) + (23x - 5)

10x + 34 = 37x + 5 + 23x - 5

10x - 37x - 23x = 5 - 5 - 34

-50x = -34

x = 34/50

x = 17/25

Hence, the value of x is 17/25.

Learn more about Circle:

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What is the probability of rolling at least one six on a pair of fair
dice?

Answers

It is a 67% percent chance.

in order to solve for x which trig function would be used cosine sine or tangent​

Answers

Answer:

Cosine

Step-by-step explanation:

I took the test

In order to solve for x , we use the trigonometric function cosine

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangle be ΔABC , where ∠B = 90°

Let the side AB be x

So , the adjacent side = x

The angle of the triangle ∠A is = 72°

So , θ = 72°

The hypotenuse AC = 8

And , by trigonometric relations , we get

cos θ = adjacent / hypotenuse

Substituting the values in the equations , we get

cos 72° = x / 8

Multiply by 8 on both sides , we get

x = cos 72° × 8

Now , cos 72° = 0.30901

Substituting the value of cos 72° , we get

x = 0.30901 × 8

x = 2.472

Hence , the value of x is determined by cosine function

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which set of the numbers is equivalent to 75%? (0.75 3/5), (7.5 75/100), (3/4 0.075), (15/20 0.75)

Answers

Answer:

0.75

Step-by-step explanation:

it has to be 0.75 because to make a percentage you move decimal to the left twice and its a %. But i am sorry i do not know the second one, maybe someone else can help :)

Answer:

75.0

Step-by-step explanation:

Jackie rode her bike around McAllister Park last week. The trail is 8.54 miles long. If she rode around the park 4 times last week, how many miles did she travel in all?

Answers

Answer:

34.16 Miles Traveled

Step-by-step explanation:

If she rode around the 8.54 mile park four times you would multiply four by 8.54 to get your answer. Hope this helps!

Express the recurring decimal 0.56 (Just the 6 is recurring) in its simplest form.

Answers

Answer:

17/30 17 over 30

Step-by-step explanation:

Answer:

17/30

Step-by-step explanation:

All 3 marks are awarded if for maths watch

If done like the following;

x = 17/30

what are the solutions of the following system?

[tex]\left \{ {{x -2y = -6} \atop {-2x + 4y = -3}} \right.[/tex]

Answers

Step-by-step explanation:

x-2y=-6 ...(1)

-2x+4y=-3 ...(2)

Multiply equation (1) by 2

So,

2x-4y=-12 ...(3)

Now add equation (2) and (3).

-2x+4y + 2x-4y = -3+(-12)

0=-15

It means that there is no solution of the given equations.

Which ordered pair is a solution of the equation -4x + 7 = 2y - 3

Answers

Answer:

(0,5) (1,3) (2,1)

Step-by-step explanation:


Wendell would like to make some chocolate chips cookies. His recipe calls for the use of 1/2 cups of sugar per batch.he has 3 1/4 of sugar in his apartment. Accidentally, drops 1 cup of sugar on the floor. How many whole batches of sugar cookies can he make with the sugar he had leftover

Answers

Answer:

He can make 4 batches of sugar cookies.

Step-by-step explanation: 4x1/2=2 and because he lost 1 cup, he only has 2 cups left

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