You are paid 1.5 times your normal hourly rate for each hour you work over 40 hours in a week. You worked 46 hours this week and earned $612.50.

Part A: Which equation can you use to solve for x​ , your normal hourly rate?
Part B: What is your normal hourly rate?

You Are Paid 1.5 Times Your Normal Hourly Rate For Each Hour You Work Over 40 Hours In A Week. You Worked

Answers

Answer 1
Part A: 612.50=x(40)+1.5x(6)
Part B: 12.5
Distribute the xs so you get 40x+9x=612.50. Then divide 612.50 by 49 to get x.
Answer 2

Equation that represents the given situation is 40x + 6 *1.5x = 612.50.

What is Linear function?

A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph.

Given, You are paid 1.5 times your normal hourly rate for each hour you work over 40 hours in a week. You worked 46 hours this week and earned $612.50.

First, define the variables. Let’s let x = his regular pay.

For first 40 hours pay = 40x

Over time pay = 1.5x

Since he worked 46 hours

Thus his over time pay = (46 -40) *1..5x

Thus his over time pay = 6 * 1.5x

Since,  You worked 46 hours this week and earned $612.50.

linear equation that represents the given situation

40x + 6 *1.5x = 612.50

Normally hourly rate:

40x + 9x = 612.50

49x = 612.50

x =12.5

Therefore, Equation that represents the given situation is 40x + 6 *1.5x = 612.50.

Learn more about Linear Function here:

https://brainly.com/question/20286983

#SPJ2


Related Questions

Can you solve this for me? Thank you! :>

Answers

Answer:15

Step-by-step explanation:

[tex]\frac{2}{3}x[/tex]=10

Do the opposite in your equation to the value given

[tex]\frac{2}{3} /\frac{2}{3}[/tex]=10÷[tex]\frac{2}{3}[/tex]

solve the equation using cross canceling

[tex]\frac{2}{3}[/tex] cross cancels each other out just leaving x on the left side

10÷[tex]\frac{2}{3}[/tex]

(keep change flip)

[tex]\frac{10}{1}[/tex]x[tex]\frac{3}{2}[/tex]

Cross cancel

[tex]\frac{5}{1}[/tex]x[tex]\frac{3}{1}[/tex]

Leaving you with

5x3=15

Leaving your final equation

x=15

Hope this helps! Good luck!

Answer:

it is 15

hope you like it

hi samarelhedok

Can you solve this for me? Thank you! :>

Answers

Answer:

B

Step-by-step explanation:

< just means more of and since it says more than 250 the answer would have to be something grater than 250

Hope this helps!

C. The number of people who attended the funeral was fewer than 250

X or the number of people < (less than) 250

HELP HELP HELP HELP
I need math

DUE today

Answers

Answer:

1.<3592

2.<623

3. <942

4. <829

5.692

6.986

Step-by-step explanation:

Consider the standard form of an exponential function:

[tex]y=a(b)^x[/tex]
How does changing the base number (inside the parentheses) change your graph?

Answers

Answer:

Step-by-step explanation:

Challenge 1

We have exponential decline if 0 b 1. As you move from left to right, the curve will get less steep.

If b is greater than 1, exponential growth is present, and the curve slopes upward from left to right.

Examples include exponential decline (y = 2(0.5)x) and exponential growth (y = 2(1.2)x).

Remember that b cannot be negative.

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

Challenge 2

In the general template provided, enter x = 0.

y = a(b)^x

y = a(b)^0

y = a(1) (1)

y = a

When x = 0 is plugged in, the result is y = a.

The curve is therefore on the point (0,a). The y intercept appears here. It is the point when the curve veers off the y axis. The y intercept is altered if the value of "a" is altered.

Examples:

Determine whether the survey question may be biased.
Do you think that the city council should approve the construction of a skate park in our town?

Answers

Answer: Yes they should and no it's not biased

Step-by-step explanation: I don't know my opinion is that it isn't bias

I Will give brainliest to the first one that answer
Need help ASAP

Answers

Answer:

B. 80 + 45 + 5x = 180

Step-by-step explanation:

In this problem, we are asked to construct an equation that can be used to solve for x.

The measures of the interior angles of a triangle add to 180º. Therefore, we can construct the following equation:

A + B + C = 180º

In this problem, we are given all of the shown triangle's angles: A = 80º, B = 45º, and C = 5xº. Thus, we can plug those values in for A, B, and C in the above equation.

80º + 45º + 5xº = 180º

This happens to be option B.

Answer: 80+45+5x=180

Step-by-step explanation: Angles in a triangle sum up to 180 degrees.

40 points to whoever answers this right :)

Answers

Answer:

the answer to your question is -2

-2 is the right answer

last summer at Gilliam Grant day camp the ratio of the number of counselors to the number of campers was 3 : 11. if there were a total of 168 people at the camp including counselors and campers how many counselors were there? how many campers were there?explain

Answers

Answer: the number of counselors is 312 = 36, and the number of campers is 1112 = 132

Step-by-step explanation:

To determine the number of counselors and campers at Gilliam Grant day camp, we can use the information provided in the ratio: 3 : 11.

This ratio tells us that for every 3 counselors, there are 11 campers. To find the total number of counselors and campers, we can set up the following equation using the information provided:

3x + 11x = 168 (x represents the number of counselors or campers)

14x = 168

x = 12

So the number of counselors is 312 = 36, and the number of campers is 1112 = 132

We can also check that the total number of counselors and campers is equal to 168 by adding 36 + 132 = 168

A triangle has the side lengths shown.
Write an expression in simplest form that represents the perimeter of the triangle.

Answers

[tex]\it \mathcal{P}=4(x+3)+5x+18=4x+12+5x+18=9x+30[/tex]

don’t know if this is what it’s asking but if you distribute the 4 and add like terms it should be 9x+21=P

A hot air balloon was at a height of 60 feet above the ground when it began to ascend. The balloon climbed at a rate of 15 feet per minute. Let t represent the time in minutes since the balloon began climbing. Write an algebraic equation for a sequence that can be used to find the height, h, of the balloon after t minutes.
a. Make a table that shows the heights of the hot air balloon after climbing for 1,2,3, and 4 minutes


B. Let t represent the time in minutes since the ballon began climbing. Write and algebraic equation for a sequence that can be used to find the height, h, of the balloon after t minutes

C. Use your equation from part b to find the height, in feet, of the hot air balloon after climbing for 8 minutes



PLEASE HELP!!!!!!!!! I NEED THIS QUESTION. Would be greatly appreciated for the answer. Thank you

Answers

Wow soo many points 50 I think the answer will be 15 minutes so the answer will be 60

consider the expression 4(8x+5)
complete 2 descriptions of parts the expression
1. the entire expression is the product of ____.
2. on its own, (8x+5) is a sum with ___.

the choices are
2 factors
3 factors
2 terms
3 terms

Answers

 

.

..

.

.

.

.

.

.

.

.

.

.

.....

.

..

.

Answer: 2 factors 2 terms

Step-by-step explanation:

ANSWER PLEASE QUICK
1. Ishaq put $700 into a Certificate of Deposit (CD) account that earns 1.8% interest each year. What will the interest of the CD account be after 6 years?​

Answers

The interest of the CD account after 6 years will be $756.60.
The answer is 756.60 after 6 years

Cubes needed to fill Prism 6:_____cubes
Volume of Prism 6: _______cubic units. (sorry if the pic is messy.) HELP ME I need to FINISH TONIGHT I'm GIVING OUT 30 POINTS!!!!!!

Answers

Answer:

125 cubic units

Step-by-step explanation:

the volume formula is length x width x height.

because the length, width, and height of the prism are all 5 units, the volume of the prism is 125 cubic units.

hope this helped, good luck!

125 cubic units it’s okay ur pix isn’t that messy lol

Which equations shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation 3x - 5 = -2x + 10? Select two options.
A. x = 5
B. –15 = –5x
C. 5x = 15
D. –15 = 5x
E. x = -5

Answers

Answer:

A. No Solutions

B. X=3

C. X=3

D. No Solutions

E. No S

Okay i need help with this math (I am also lazy -_-)

Answers

Answer:I think A and C

Can you give me the answer to this? Thank you!

Answers

Answer:Multiply or divide in order left to right

Step-by-step explanation:

Left to right multiplication to divide sk anger 1(a)

Nya wants to buy a sweater that had an orignial price of $55. The sweater is now discounted 20% and the sales tax rate is 5.5%. How much will Nya (Ichi Ni Sy Nya Arigatooo) pay for the sweater?

Answers

Answer:
=46.42
Step-by-step explanation:
First step is to find the discount
Discount = original price * discount rate
= 55 * 20%
= 55* 20
=11
Take the discount from the original price and that is the new price
new price = original price - discount
= 55-11
=44
Now we need to find the tax
tax = new price * tax rate
= 44 * 5.5%
= 44*.055
=2.42
The final price is the new price plus the tax
final price = new price + tax
= 44+2.42
=46.42

Answer:

Step-by-step explanation:

Match the terms to their definition. 1 . a number that is less than zero positive number 2 . a number belonging to the set made up of the counting numbers: 1, 2, 3, and so on integer 3 . a number that is greater than zero negative number 4 . a number belonging to the set made up of the whole numbers and their opposites opposite numbers 5 . a line that graphically represents all numbers natural number 6 . two numbers that are the same distance from zero on the number line, but in opposite directions number line

Answers

Answer: 1. Negative number

2. Natural number

3. Positive number

4. Integers

5. Number line

6. Opposite numbers

Step-by-step explanation:

1. The first statement says a number that is less than zero, which means any negative number would be less than zero. For example (-1), (-2), etc.

2. The second statement is asking for numbers belonging to the counting set, which means starting from one (1). Natural numbers are numbers that start from 1 and don't include negative numbers or zeros.

3. The third statement says the number that is greater than zero, as negative numbers are smaller than zero and the natural number option has already been chosen above, we will consider positive numbers.

4. Whole numbers consist of both negative and positive integers including zero. Therefore, a set of whole numbers will be written as integers.

5. Number line is a line that represents both negative and positive numbers.

6. Consider an example- (+5) and (-5), both the numbers are the same but with different signs, making them opposite of each other. Therefore, the correct answer would be opposite numbers.

So I kinda need some more help that would be appreciated

Answers

Answer:

75 percent of a positive number is greater greater than 50 percent of a positive number. and the second one is 75percent of a negative number is less than 50percent of a negative number

Answer:

Step-by-step explanation:

75% of 100> 50% of 100

75% of 1< 50% of 100

What is the surface area of this right rectangular prism with dimensions of 4 centimeters by 4 centimeters by 6 centimeters?

Answers

C 128 tell me if I’m wrong

Answer:

128

Step-by-step explanation:

A=2(wl+hl+hw)=2·(4·4+6·4+6·4)= 128

Answer the questions below:

Answers

Answer:

sorry to tell you I don't understand your question

Same I understand the question

Can you solve this for me? Thank you! :>

Answers

Whatever you do to one side you do to the other
it'll be the last one, whatever you do on one side of the equation, you do to the other side.

Find the algebraic expression:
36a+28

Answers

Answer:

Step-by-step explanation:

4(9a+7)

Please Mark me brainiest

A rectangular prism is 2 inches by 4 inches by 6 inches.

Kimaya says, “It takes more 2/5-inch cubes to fill the prism than 1/5-inch cubes.”

Do you agree with Kimaya? Explain or show your reasoning.

Answers

No, I do not agree with Kimaya. The volume of the rectangular prism is 2 inches x 4 inches x 6 inches = 48 cubic inches. To fill the rectangular prism with 2/5-inch cubes, you would need 48 cubic inches / (2/5) cubic inches per cube = 120 cubes. To fill the rectangular prism with 1/5-inch cubes, you would need 48 cubic inches / (1/5) cubic inches per cube = 240 cubes.

So, it takes less 2/5-inch cubes to fill the prism than 1/5-inch cubes.

Another way to think of it is that the larger the cubes, the less number of cubes you need to fill the same volume, as the cubes are larger in size.

No, I do not agree with Kimaya, and heres why.

Simple Explanation: 2/5 in. cubes are more than 1/5 in. cubes, so 1/5 in. cubes would take 2x more to fill than 2/5 in.

Complex Explanation: 2 in. x 4 in. x 6 in. is 48 cubic in. and to fill 48 cubic in. using 2/5 in. per cube, it would be 120. as for 1/5 in., to fill 48 cubic in. with that would be 240. Easier way to think of it is that 2/5 in. cubes are already 120 and 1/5 would be doubling that so all you gotta do is multipy 120 x 2 since filling it with 1/5 would be 2x the amount than 2/5.

Hope this helped :D

please help i need this very soon

Answers

Answer:

for a it is $20

for b it is $10

question A is $20
question B is $10

Help PLEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEASE

Answers

Answer:

y = 7x - 16

Step-by-step explanation:

slope = y2-y1/x2-x1

slope = 12 - (-9)/4-1

slope = 7

Y-intercept = -9-7

Y-intercept = -16

Y = 7x-16

Y= 7x-16

I think this is correct check

How do I simplify Rational Exponents and Radicals?
I was absent yesterday and we completely moved onto a brand new subject. I don't quite understand, this isn't asking me to solve it, It's asking me to simplify it. help??

Some of the problems I don't understand:
4x⁻⁴y⁴
-2x⁴y⁻¹

Answers

Rational exponents and radicals are simplified in a similar way to how other exponents and radicals are simplified.

For the first expression 4x⁻⁴y⁴, you can simplify it by noticing that it has a negative exponent on the x term and a positive exponent on the y term. To simplify, you can keep the base (x and y) and the exponent (4 and -4) but you change the negative exponent to a fraction and change the sign:

4x⁻⁴y⁴ = (x^-4) (y^4) = x^-4y^4

For the second expression -2x⁴y⁻¹, you can simplify it by noticing that it has a negative exponent on the y term. To simplify, you can keep the base (x and y) and the exponent (4 and -1) but you change the negative exponent to a fraction and change the sign:

-2x⁴y⁻¹ = -2 (x^4) (y^-1) = -2x^4y^-1

To simplify these expressions further, you would need to know the specific values of x and y. But these are the steps to simplify a rational exponent or radical to its simplest form.

It's also worth mentioning that if you have a fractional exponent you can simplify it by raising the base to the numerator of the exponent and the denominator of the exponent. For example, x^(3/4) = (x^3)^(1/4) = ∛x

Keep in mind that when you simplify rational exponents or radicals, you should always keep the base and the exponent, and only change the sign of the exponent if it is negative.

Can someone pls help?!

Find the product of........ The rest of the question is down below.

Answers

Answer: The answer is −2x+14 just take away the parentheses.

Please answer it brainless

Answers

Answer:

[tex]y=\frac{1}{2}x+1[/tex]

Step-by-step explanation:

We have the one tablet taken to start so that is where the +1 comes from.

We also have the 1/2 tablet taken each month after that so it is 1/2 times the number of months x.

y= 1/2x + 1>>>>>>>>>>

Can you solve this for me? Thank you! :>

Answers

Answer:

Whatever you do one one side of the equal sign, you must do on the other side.

Step-by-step explanation:

It’s D “Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal side.
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