Regina, Phil and Joseph each wrote expressions to represent their hourly earnings for an after-school job where h represents the number of hours worked. Regina: 6.50h + 16 Phil: 3(2.5h + 5) Joseph: 7.50h + 10 How many hours will Regina and joseph have to work in order to make the same amount of money in one week? Show your work.

Answers

Answer 1

Answer:

Duration = 6 hours

Step-by-step explanation:

Given

[tex]Regina: 6.50h + 16[/tex]

[tex]Phil: 3(2.5h + 5)[/tex]

[tex]Joseph: 7.50h + 10[/tex]

Required

When will Ragina and Joseph earn equal amounts

To solve this:

[tex]Regina = Joseph[/tex] must be true

This gives:

[tex]6.50h + 16 = 7.50h + 10[/tex]

Collect Like Terms

[tex]7.50h - 6.50h = 16 - 10[/tex]

[tex]h = 6[/tex]

Hence, number of hours is 6


Related Questions

!!!The volume of a cylinder is 675π cm3. The radius of the base of the cylinder is 5 cm. What is the height of the​ cylinder?

Answers

Answer:

The answer is

27 cm

Step-by-step explanation:

Volume of a cylinder is given by

V = πr²h

where

h is the height

r is the radius

V is the volume

Since we are finding the height

[tex]h = \frac{V}{\pi {r}^{2} } [/tex]

From the question

V = 675π cm³

r = 5 cm

Substitute the values into the formula and solve for the height

That's

[tex]h = \frac{675\pi}{ {5}^{2}\pi } \\ = \frac{675\pi}{25\pi} \\ = \frac{675}{25} [/tex]

We have the final answer as

27 cm

Hope this helps you

Convert the following decimals to percentages.
0.52 =
%

Answers

Answer:

52% is the answer

52%

all decimals can convert to percentages easily. For example:

0.76 = 76%

0.4 = 40%

0.093 = 9.3%

just move the decimal point 2 places backwards.

Solve the equation. 9x−(3x+9)=2x−25 Select the correct choice below and fill in any answer boxes in your choice. A. The solution set is ​(Simplify your​ answer.) B. There is no solution.

Answers

Answer: Choice A, x=-4

Step-by-step explanation:

1. 9x−(3x+9)=2x−25

2. 9x-3x-9=2x-25

3. 6x-9=2x-25

4. 6x-9=2x-25  

   -2x          -2x

5. 4x-9=-25

       +9    +9

6. 4x=-16 (divide both sides by 4)

7. x=-4

Is (4,1) (8,1) (8,2) (12,2) (12,3) (16,4) (20,3) a function, yes or no?!​

Answers

Answer:

No, it is not a function

Step-by-step explanation:

A function is where there is no two of the same domain.

The domain is the first coordinate.

Hope This Helps :)

Answer:

it not a function

Step-by-step explanation:

Since x = 12 produces y = 2 and y = 3, the relation

(4,1),(8,1),(8,2),(12,2),(12,3),(16,4),(20,3)

is not a function.

The relation is not a function.

Hope this help

what 6.8 into 3 by 4. urgent

Answers

Step-by-step explanation:

5.1 .......... write it fast..........

Today only, a table is being sold at a 26% discount. The sale price is $481.
What was the price yesterday?

Answers

$481 is 74%
$x is 100%

481 x 100 = 48100
48100 / 74 = 650

the price was $650

Answer:

The price yesterday was 650

Step-by-step explanation:

X is the price yesterday

There is a 26% discount

That means today we pay 100 -26 = 74 %

x* 74% = 481

.74x = 481

Divide each side by .74

.74x/.74 = 481/.74

x = 650

The price yesterday was 650

Can somebody help me with math just text in comments below 360 times 4 + 77= ?

Answers

Answer:

1,517

Step-by-step explanation:

360 times 4 equals 1440. 1440 + 77 is 1517.

360 x 4+ 77 = 1517 because you multiply 360 x 4 which equals 1440 and add that by 77 to get 1517

you can afford a $250 per month car payment. you've found a 3 year loan at 2% interest . how big of a loan can you afford

Answers

Answer:

interest = 250

time = 3 years

rate = 2%

we know

P = I*100/(R*T)

= 250*100/6

=4166.67

Step-by-step explanation:

Help I’m stupid and don’t know how to do this

Answers

Answer:

y = x/w

Step-by-step explanation:

1) We have to isolate y

2) An easy way to do this is to switch the places of y and w since we are just solving for y

3) Therefore, the answer is y = x/w

Hope this helps!

suppose four more people voted and they all voted for Jocelyn.what fraction of the vote would be for Jocelyn?

Answers

It would be 4/ and the total number of people that are voting

Answer:

The Answer is 113/348

Step-by-step explanation:

Mateo scored in the 55th percentile of his class on the latest math exam. What does this mean in relation to the data set, and what did he score on the exam?

Answers

Answer:

d. Mateo scored as well as or better than 55% of his classmates, with a score of 82.

Step-by-step explanation:

Mateo scored in the 55th percentile of his class on the latest math exam. What does this mean in relation to the data set and what did he score on the exam?

{35, 42, 55, 68, 69, 72, 72, 77, 78, 78, 82, 85, 87, 88, 90, 93, 94, 96, 96, 99)  

a. Mateo scored a 55% on his exam. b. Mateo scored as well as or better than 55% of his classmates, with a score of 78. c. Mateo scored worse than 55% of his classmates, with a score of 78. d. Mateo scored as well as or better than 55% of his classmates, with a score of 82. e. Mateo scored worse than 55% of his classmates, with a score of 82. Solution

There are scores of 20 students. Each score is equivalent of 100%/20 = 5%

The easy way to understand Mateo' s place is to compare scores against 5% slots.

See attached.

We can also get the average score

Sum

∑ {35, 42, 55, 68, 69, 72, 72, 77, 78, 78, 82, 85, 87, 88, 90, 93, 94, 96, 96, 99) = 1556

Average or mean score:

1556/20 = 77.8

This is matching the 50% score.

As we see Mateo scored 82 which is matching 55%.

Correct option is d.

Someone please help!!

Answers

1.46 is what google is saying just convert that to a fraction

Duncan is excited to begin diving lessons. He starts on the diving board, 5 feet above the surface of the pool. Then, Duncan dives off the board and ends up 7 feet below the surface of the pool. What is the total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool?

Answers

Answer: -13

Step-by-step explanation:

The total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool will be 12 feet.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Duncan is excited to begin diving lessons. He starts on the diving board, 5 feet above the surface of the pool. Then, Duncan dives off the board and ends up 7 feet below the surface of the pool.

Distance = 7 + 5
Distance = 12 feet

Therefore, the total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool will be 12 feet.

To know more about an expression follow

https://brainly.com/question/1237844

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Subtract. Add to check: 512,724-96,473

Answers

Answer: =512,628,473

Step-by-step explanation:

Answer:

416251

Step-by-step explanation:

I used a calculator

Look at the incomplete multiplication problem below. 632x28
5600
+[?]
What value is missing?
A)11,376
B)12,540
C)12.640
D)18,328​

Answers

12.640 is missing value

How is adding and subtracting decimals similar to and different from adding and subtracting whole numbers?

Answers

Answer:

it is the answer here copy and paste

Step-by-step explanation:

adding and subtracting decimals are different from adding and subtracting whole number because of the values are not going to be the same any more.      

          extra; example 40.04 has hundredths and 4004 has hundreds.

Answer:

The answer is:

In both types of problems you rewrite the problem vertically, line up the decimals, and add zeros or rename where needed.

Step-by-step explanation:

Edge 2021

What is the formula for finding circumference given the radius?

Answers

Answer:

[tex]C = 2\pi r\\[/tex]

Step-by-step explanation:

[tex]Circumference = 2\times \pi \times r[/tex]

There are ten pieces of pizza. Anthony ate 4 9 of the pizza for dinner. He ate 1 6 of the pizza for a bedtime snack. How much of the pizza has he eaten in all? Give your answer as a fraction, reduced to lowest terms.

Answers

Answer:

7/18

Step-by-step explanation:

Convert the 10, 9, and 6 to a common denominator which would be 90. So you would have 90/90, 40/90, and 15/90. Then you would add the 15/90 and 40/90 together getting 55/90. Then you subtract 90/90 by 40/90. You would then get 35/90 and then simplify to 7/18.

Anthony had eaten an (11/18) fraction of pizza in all.

What are fractions?

A fraction is a portion of a whole or, more broadly, any number of equal pieces.

It is written in the form p/q, read as "p by q", where p is called the numerator and q is called the denominator, and the fraction p/q represents p number of equal parts from q number of equal parts.

How to solve the given question?

In the question, we are informed that there There are ten pieces of pizza. Anthony ate a 4/9th fraction of the pizza for dinner. He ate a 1/6th fraction of the pizza for a bedtime snack.

We are asked to find how much of the pizza has he eaten in all.

Total pizza Anthony had = Pizza he had for dinner + Pizza he ate as a bedtime snack.

or, Total pizza Anthony had = {(4/9) + (1/6)} fraction of pizza,

or, Total pizza Anthony had = {(8/18) + (3/18)} fraction of pizza,

or, Total pizza Anthony had = {11/18}th fraction of pizza.

Therefore, Anthony had eaten an (11/18) fraction of pizza in all.

Learn more about fractions at

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PLS Help Asap! i will award brainliest On her way to her grandmother's house, Jackie traveled three times as many miles by train as by bus. She traveled four times as many miles by bus as by foot. If Jackie traveled 34 miles in all, how many miles did she travel by train?

Answers

Answer:

24 miles.

Step-by-step explanation:

Jackie traveled four times as many miles by bus as by foot. This means that the number of miles travelled by bus is 4 units, and the number of miles travelled by foot is 1 unit.

Jackie traveled three times as many miles by train as by bus. We know that the number of miles travelled by bus is 4 units, so the number of miles travelled by train is [tex]4\times3=12[/tex] units.

Total number of units: [tex]12units+4units+1unit=17units[/tex]

[tex]17units=34[/tex]

Divide 17:

[tex]1 unit=2[/tex]

The number of miles travelled by train is 12 units:

[tex]12units=2\times 12=24[/tex]

She travelled 24 miles by train.

Answer:

24 miles

Step-by-step explanation:

Statement of the given problem,

On her way to her grandmother's house, Jackie traveled three times as many miles by train as by bus. She traveled four times as many miles by bus as by foot. If Jackie traveled 34 miles in all, how many miles did she travel by train?

Let T, B & F denote the distances (in miles) traveled by train, bus & foot respectively.

Hence from above data we get following relations,

T = 3*B

or B = T/3

B = 4*F

F = B/4 = T/3/4 = T/12

T + B + F = 34

or T + T/3 + T/12 = 34

or 17*T/12 = 34 or T = 12*34/17 = 24 (miles) [Ans]

Let's find
1/2+3/7
First write the addition with a common denominator.
Then add.
1/2+3/7=

Answers

Answer:

7/14+6/14=13/14

Step-by-step explanation:

find the common denominator(14)

change both fractions

1/2*7/7(2*7=14)=7/14

3/7*2/2(7*2=14)6/14

then add.

What is the solution to this equation?
5x - 4 + 3x = 36
O A. x = 5
O B. x= 16
O C. x = 4
O D. x = 20

Answers

To do this problem, first u combine like terms which in this case would be 5x+3x which is 8x and then that leaves 8x-4=36. Next get rid of the 4 by adding it to both sides, you’re left with 8x=40. Then divide both sides by 8, and that cancels the 8 on the left leaving you with x=5 because 40/8=5. So your answer is A.

it would rlly help so much Please I will give brainmast​

Answers

Answer: The top right

Step-by-step explanation: The top left is a line segment so incorrect,

the bottom left is a ray so also incorrect, and finally, the bottom right is just a dot so that is also incorrect.

Hope this helped!

Mark Brainliest if you want!

Answer:

Top photo on right (the one with two arrows on the sides)

Step-by-step explanation:

Top left photo is a segmentBottom left photo is a rayBottom right photo is a dotSo, the only one left is the top right photo

I hope this helps!

4) Find the total cost of a $0.95 pen with a 60% markup.

Answers

$1.52 is the total cost. Good luck and have an amazing day!

- Complete the following paragraph proof.
Given: 44 -2(3x + 4) = -18
Prove: x = 9

Answers

Doing it in reverse order of operation. U can start by +2 or remove -2 on the left side :) and move it onto the -18 (right side)

PLS HELP I DONT UNDERSTAND :( WILL GIVE BRAINLIEST!!

Answers

It's D 400 gallon of paint were used

Use the slope formula to find the missing coordinate.
m= 3, P(3, 2) and Q(8,_)
O-1
1
05

Answers

Let the missing value = x

Slope is the change in y over the change in x:

3 = (x-2)/ (8-3)

3 = (x-2) / 5

Multiply both sides by 5:

15 = x-2

Add 2 to both sides:

X = 17

The missing coordinate is 17

Solve this equation and show your work! (1 point for the correct answer and 1 point for showing how to solve the equation) x³ = -2,197

Answers

Make the 3 into a fraction and then flip it to cancel out which makes it easier then do it to the -2,197 for you to get x

Here we are given with a equation:

[tex] {x}^{3} = - 2197[/tex]

And we have to solve it with appropriate steps.

So, let's start solving.

Add 2197 to both sides of the equation,

[tex] {x}^{3} + 2197 = - 2197 + 2197[/tex]

[tex] {x}^{ 3} + 2197 = 0[/tex]

Now, using the identity:

a³ + b³ = (a + b)(a² - ab + b²)

Let's proceed further.

x³ is the cube of x and 2197 is the cube of 13

[tex](x) {}^{3} + (13) {}^{3} = 0[/tex]

[tex](x + 13)( {x}^{2} - x \times 13 + {13}^{2} ) = 0[/tex]

[tex](x + 13)( {x}^{2} - 13x + 13) = 0[/tex]

Now,

x + 13 = 0x² - 13x + 13 = 0

So, x = -13

And, for the second let's use the discriminate formula,

➝ D = b² - 4ac

➝ D = (-13)² - 4(1)(13)

➝ D = 169 - 52

➝ D = 117

Now, using the D. formula,

[tex]x = \dfrac{ - b \pm \sqrt{ D} }{2a} [/tex]

[tex]x = \dfrac{13 \pm \sqrt{117} }{2} [/tex]

[tex]x = \dfrac{13 \pm 3 \sqrt{13} }{2} [/tex]

So the roots of the equation are:

[tex]{ \boxed{ \bf{x = - 1 ,\: \frac{13 + 3 \sqrt{13} }{2} and \: \frac{13 - 3 \sqrt{13} }{2} }}}[/tex]

And we are done !!

#CarryOnLearning

━━━━━━━━━━━━━━━━━━━━

ruger has a dartboard with an area of 1600 cm^2. The dartborad has a circular bullseye centered at (0 cm, 0 cm). The point ( square root 3cm, square root 7cm) is on the circumference of the bullseye.

Answers

A percentage is given by dividing a given value by a total and multiplying the result by 100

The percentage of the dartboard occupied by the bullseye is approximately 1.963 %

Reason:

The given parameters are;

The area of the dartboard, A = 1,600 cm²

The location of the center of the bullseye = (0 cm, 0 cm)

The coordinates of a point on the circumference = (√3 cm, √7 cm)

Question: Possible question with regards to the given parameter; The percentage of the dartboard covered by the bullseye

Solution;

The radius of the bullseye, r = [tex]\sqrt{(\sqrt{3})^2 + (\sqrt{9})^2} = \sqrt{10}[/tex]

The area of the bullseye, [tex]A_b[/tex] = π· r² = π × [tex](\sqrt{10})^2[/tex] = 10·π

∴ The area of the bullseye, [tex]A_b[/tex] = 10·π cm²

The percentage area is given as follows;

[tex]Percentage \ area = \dfrac{A_b}{A} \times 100[/tex]

Therefore;

[tex]Percentage \ area \ occupies \ by \ bulleseye = \dfrac{10 \cdot \pi}{1,600} \times 100 \approx 1.963 \%[/tex]

The percentage of the dartboard occupied by the bullseye ≈ 1.963 %

Learn more about percentage area here:

https://brainly.com/question/11642822

Answer:

2%

Step-by-step explanation:

Should be Choice B

Where in real life do you work with radical expressions and functions? Give an example of your own.

Answers

Engineering to make things

What is the value of the expression |5x+12| when x=5

Answers

Answer:

|5x+12| when x=5

I5*5=12I

I37I

37

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

X=5

5x=(5×5)=25

25+12=37

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