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.

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...

Answer:

a = 3

b = 5

c = -10

Step-by-step explanation:

ax^2+bx+c

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 :)

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! :)

Answer:

1/4

Step-by-step explanation:

i know

Answer:

20%

Step-by-step explanation:

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

Algebra I

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

Step 4: Solve for x

Step 5: Check

Graph the systems of equations to verify the solution set.

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!

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:

Answer:

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

Step-by-step explanation:

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

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

Answer:

C=25+(a*m)

just simplyfy what it was doing

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

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

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.

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.

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Answer:

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

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

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.

It is a 67% percent chance.

Answer:

the answer is y=10

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.

Answer:

1.41 it’s a infinity answer

Step-by-step explanation:

Answer:

The independent variable is x

Step-by-step explanation:

In the equation y = m x + b

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)

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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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

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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Answer:

21

Step-by-step explanation:

u do 140 divided by .15