A truck driver earns $21.00 per hour for the first 40 hours worked in one week. The driver earns time-and-a-half, or $31.50, for each hour worked in excess of 40. The piece-wise function below represents the driver wage, w(h), as a function of the hours worked in one week, h. How much money does the truck driver earn in a week if he works 30 hours? *

Answers

Answer 1

Answer:

$21 x 30 = 630 (630 the answer)

Step-by-step explanation:


Related Questions

Point T is at (-3, 8). What are the coordinates of T' after R(y-axis) o R(x-axis)?

Answers

Given:

Point is T(-3,8).

To find:

The coordinates of T' after [tex]R(y-axis)\circ R(x-axis)[/tex].

Solution:

We know that, [tex]R(y-axis)\circ R(x-axis)[/tex] means the figure reflected across the x-axis then reflected across y-axis.

If a figure reflected across x-axis, then

[tex](x,y)\to (x,-y)[/tex]

[tex]T(-3,8)\to T_1(-3,-8)[/tex]

If a figure reflected across y-axis, then

[tex](x,y)\to (-x,y)[/tex]

[tex]T_1(-3,-8)\to T'(-(-3),-8)[/tex]

[tex]T_1(-3,-8)\to T'(3,-8)[/tex]

Therefore, the required point is T'(3,-8).

ANSWER THIS URGENTLY PLEASE !!!!

A company decides to drain the water heater to flush out sediments. The water heater has a capacity of 500 gallons. It drains 100 gallons in
20 minutes. After 20 minutes, they open another drain valve and it drains 200 gallons in the next 20 minutes. The drain valves are closed for
10 minutes, while the workers take a break and then the water heater is drained until the water heater is completely empty.
What are the domain and the range of this relation?

Answers

Answer:

0<x<70

0<y<500

Step-by-step explanation:

The range is the values horizontally (up to down)

The domain is the values vertically (left to right)

Answer:

0 ≤ x ≤ 70

0 ≤ y ≤ 500

Step-by-step explanation:

By the ways, 0 ≤ y ≤ 70 and 0 ≤ x ≤ 500 look similar BUT not the right answer, so be careful.

if a right angle triangle has one side with 3cm and the other with 4cm how do i get the last side

Answers

Answer:

5cm

Step-by-step explanation:

It is the pythagorean Theorem and there is this special rule my teacher always told me to follow that means it is always 3, 4, and 5. Trust me, I had this problem before. It is 5cm just use the pythagorean theorem.

Jus 360 no sniped my little sister get on my Game kid

Answers

Answer:

cool that's super cool

Step-by-step explanation:

Answer:

NICEEEEEEEEEEEEEEEEEEEE

Could I have Brainlest

Step-by-step explanation:

Use the vertical line test to determine whether the relation is a function​

Answers

Answer:

7,2

Step-by-step explanation:

Which number should each side of the equation 45x=8 be multiplied by to produce the equivalent equation of x = 10?

-4/5
1/5
5/4
5

Please answer FAST!!!

Answers

Answer:

5/4

Step-by-step explanation:

45 × ? = 10

Answer:

5/4

Step-by-step explanation:

Find the 9th term of the geometric sequence 9, 27, 81,

Answers

Answer:

You have to multiply the last number by 3. So 9 times 3 equals 27 and 27 times 3 equals 81 and so on. The answer would be 59,049

Step-by-step explanation:

I hope this helps!!

An architect is trying different dimensions for the room shown below. Write an algebraic expression the architect can use to find the area of the room then find the area when x is 6 m. Show your work.

Answers

Answer:

x² + 12

48m²

Step-by-step explanation:

Find the diagram attached.

The room can be segregated into two rectangles

The area of the room = Area of bottom rectangle + area of the top rectangle

Area of the bottom rectangle = x * (x-3) = x² - 3x

Area of the top rectangle = 3* (4+x) = 12 + 3x

The area of the room = x² - 3x + 12 + 3x

Area of the room = x² + 12

Hence the algebraic expression that the architect can use to find the area of the room is x² + 12

Given x = 6m

The area of the room = x² + 12

The area of the room = 6² + 12

The area of the room = 36 + 12

The area of the room = 48m²

Not good with factoring could use a hand.

Answers

The only factoring you need to do is already done for you:

x² + x - 12 = (x + 4) (x - 3)

What you're asked to do is decompose

(3x - 4) / (x² + x - 12)

into partial fractions, i.e. find a and b such that

(3x - 4) / (x² + x - 12) = a / (x + 4) + b / (x - 3)

Multiply both sides by x² + x - 12 :

3x - 4 = a (x - 3) + b (x + 4)

3x - 4 = (a + b) x + (-3a + 4b)

So we have

a + b = 3

-3a + 4b = -4

and solving this system gives

a = 16/7 and b = 5/7

so you should submit the numbers in bold:

(3x - 4) / (x² + x - 12) = 16 / (7 (x + 4)) + 5 / (7 (x - 3))

3 - 7x plus 2x when x =3

Answers

Answer:

-12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

3 - 7x + 2x

x = 3

Step 2: Evaluate

Substitute in x:                    3 - 7(3) + 2(3)Multiply:                               3 - 21 + 6Subtract:                              -18 + 6Add:                                     -12

Answer:

if x is 3 then

3-7(3)+2(3)

-18+6

-12 done

please help i will mark brainliest

Answers

Answer:

6/11

Step-by-step explanation:

The figures are similar

Answers

Answer:

x is 10

Step-by-step explanation:

9+6=15 4+6=10

30 Points and will mark brainliest: Bruce has $1200 in the bank. He wants to Save a total of $3000 by depositing $40 per week from his paycheck. Write and use an equation to find how many weeks he needs to reach his goal.

A - 1200x + 40 = 3000; x=45 weeks

B - 1200 + 40x = 3000; x = 45 weeks

C - x(1200 + 40) = 3000; x = 45 weeks

D - x(1200 - 40) = 3000; x = 45 weeks

Answers

B looks about right.

Identify the type of slope and then find the slope of the line.

Answers

Answer:

-1/2, negative slope

Step-by-step explanation:

As per graph it is visible that the slope is negative, it goes down when x-value increases

Use two points to find the slope:

(-4, -1) and (0, -3)

Slope formula:

m = (y2 - y1)/(x2 - x1)

Value of the slope:

m = (-3 - (-1))/(0 - (-4)) = -2/4 = -1/2

This graph shows the solution to which inequality?

Answers

The answer is option c

At Mr. Hynd's ranch, there are 35 chickens and 20 cows. What is the ratio of the number of cows to the number of chickens at Mr. Hynd's ranch?

Answers

The ratio is 20:35 or 20 to 35 and also 20/35, there are multiple ways to write it. My personal favorite is the first one but it depends on what your teacher wants!

PLSSS HELP MEEE ASAPP PLSSSS IM BEGGING U AND THANK U

Answers

Answer:

the 3 one

Step-by-step explanation:

A game lasts 7/8 hours.Charmaine played 5 of these games.
For how long did she play in total?
Write your answer in simplest form.

Answers

Answer:

4.4 hours

Step-by-step explanation:

so
How would you write 6.5E4

Answers

Hope that helps



6.5 x 10^4

Or

65000

A diamond ring that normally sells for $1,275 is on sale for $1,020. A ruby ring that normally sells for $290 is on sale for $203.

Answers

Answer:

what is the question?

Step-by-step explanation:

What is the equation of the line that passes through the point (-5, 7) and has a slope of -2/5?​

Answers

Answer:

I hope that it will be help full for u

Step-by-step explanation:

As we know the equation of line is ,

y= mx+ c

As given

slope=m=-2/5

also given (x, y)= (-5, 7)

we get   x=-5  , y=7

putt in the equation of line all these values we get ,

7=(-2/5)(-5) +c

c=7-2

c=5   now putt the value of c and m  in equation of line we will get ,required equation of line

y = (-2/5)x + 5  Ans

Using slope intercept form, the equation of the line that passes through the point (-5,7) and has a slope of -2/5 is y = - 2/5x + 5.

What is slope intercept form?

The equation of the "straight line is in the form y = mx + b where 'm' is the slope of the line, 'b' is the y - intercept form" is called slope intercept form.

According to the question,

The line passes through the point (-5,7) and has slope of -2/5,

The equation of the straight line y = m x + c. Substitute (-5,7) and slope -2/5 in general equation we have 7 = -2/5 (-5) + c

7 = 2 + c

c = 7-2

c = 5

Hence, using slope intercept form, the equation of the line that passes through the point (-5,7) and has a slope of -2/5 is y = - 2/5x + 5.

Learn more about slope intercept form here

https://brainly.com/question/12425007

#SPJ2

Brandon and his son went fishing. Brandon caught 3 3/4 kg of fish while his son caught 2 1/5 kg of fish. What is the total weight of the fishes that they caught?

Answers

Answer:

5 19/20

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

5 19/20

Step-by-step explanation:

13.
What is the circumference of a circle whose area is 16 pi?
A. 64 pi
B. 32 pi
C. 8 pi
D. 4 pi

Answers

I think it would be 4 po

Answer:

What is the circumference of a circle whose area is 16 π ?

A. 64  π  

B. 32 π  

C. 8  π  

D. 4  π

Step-by-step explanation:

its  8 π  cause it said it was correct

A bottling machine fills 100 bottles in 150 seconds. How many minutes does it take the same machine to fill 1000 bottles?

Answers

Answer:

you have to have to put pp in girls wee wee and go in out and out ahhewgvfhbjnhvvvaef jcfvgfg

Step-by-step explanation:

It says find value of x?

Answers

It’s 4
the vertical angle is also 90

At Leslie's school, the ratio of boys to girls is 11 to 12. At Mark's school, the ratio of boys to girls is 41 to 48. If both schools have the same total
number of students, which statement about the number of boys at Mark's and Leslie's schools is true?
A There are more boys at Mark's school than at Leslie's school because the ratio 11 to 12 is greater than the ratio 41 to 48.
B. There are more boys at Mark's school than at Leslie's school because the ratio 41 to 48 is greater than the ratio 11 to 12.
C. There are more boys at Leslie's school than at Mark's school because the ratio 41 to 48 is greater than the ratio 11 to 12.
There are more have at lectia's chinoithan at Marvis erhont harnuce the ratio 11 to 17 i nreater than the ratin 41 m GR
Copyright 2020 illuminate Education, Inc. All Rights R
TI
INTL
САД

Answers

Answer:

ITS A

Step-by-step explanation:

5x-3 /4=2x+3

Pls help

Answers

Answer:

x=-5

Step-by-step explanation:

5x-3/4=2x+3

First, multiply by 4

5x-3=4(2x+3)

Next, distribute.

5x-3=8x+12

Subtract 5x

-3=3x+12

Subtract 12

-15=3x

x=-5

Hope this helps :D

5x-3/4=2x+3
You do reseprocal/cross multiplication
5x-3=4(2x+3)
5x-3=8x+12
5x-8x=12+3
-3x=15
x=15/-3
x=-5

I NED HELP lol
A store decreased the price of all its jeans by 20%. If Tara bought a pair of jeans for $50, what was the original price?
Group of answer choices

$40.00

$62.50

$70.00

$60.00

Answers

Answer:

the answer is 60 dollars.

Answer:  Choice B)  $62.50

====================================================

Work Shown:

x = original price

20% = 20/100 = 0.20

20% of x = 0.20x = discount

x - 0.20x = 0.80x = final price

0.80x = 50

x = 50/0.80

x = 62.50

The original price of the jeans was $62.50

---------------

Note how,

20% of x = 0.20*x = 0.20*62.50 = 12.50

Tara saves $12.50 (this is the discount).

The price she pays is x - 0.20x = 62.50 - 12.50 = 50 dollars, which matches with what your teacher gave in the instructions. This confirms we have the correct original price.

In square ABCD, diagonal DB is drawn. If the m

Answers

9514 1404 393

Answer:

  x = 11

Step-by-step explanation:

The diagonal creates two isosceles right triangles, so ...

  m∠CBD = 45°

  3x +12 = 45

  3x = 33 . . . . . . subtract 12

  x = 11 . . . . . . . . divide by 3

Question 7 of 8
Find the slope-intercept equation of the line.
Plz help I can’t go past question 7
I need the equation

Answers

Answer:

y=-3/4x-5

Step-by-step explanation:

slope intercept form is y=mx+b where m is the slope and b is the y intercept form

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