Juan works as a tutor for $12 an hour and as a waiter for $7 an hour. This month, he worked a combined total of 110 hours at his two jobs.
Let t be the number of hours Juan worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.

Answers

Answer 1

Answer:

12t+7w=D

t+w=110

Step-by-step explanation:

12t= $12 made every tutor hour

7w= $7 made every waiter hour

D= total dollars made

t+w=110 is the tutor hour and the waiter hour adding together

Answer 2

Answer:

12t + 7y = x

      or

5t + 770 = x

Step-by-step explanation:

12t + 7y = x

t = number of hours he worked as a tutor

y = number of hours he worked as a waiter

x = the total amount of money he earned

t + y = 110

=> y = 110 - t

=> 12t + 7(110 - t) = x

=> 12t + 770 - 7t = x

=> 5t + 770 = x


Related Questions

Please help
Solve the system of equations shown below.

Answers

Answer:

(6, 4 )

Step-by-step explanation:

Given the 2 equations

2x - 6y = - 12 → (1)

x + 2y = 14 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate x

- 2x - 4y = - 28 → (3)

Add (1) and (3) term by term to eliminate x

- 10y = - 40 ( divide both sides by - 10 )

y = 4

Substitute y = 4 into either of the 2 equations and solve for x

Substituting into (1)

2x - 6(4) = - 12

2x - 24 = - 12 ( add 24 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

solution is (6, 4 )

Recall the equation that modeled the average number of non-defective refrigerators produced per hour in terms of x, the number of hours of production per day: Now, open the graphing tool and graph the equation. Use the pointer to determine how many hours of production there are in a day if the average number of non-defective refrigerators produced per hour is 15.

Answers

Answer:

The graph representing the above equation is attached below.

Step-by-step explanation:

The equation that modeled the average number of non-defective refrigerators produced per hour in terms of x, the number of hours of production per day is:

[tex]y=\frac{196-3x}{x}[/tex]

Simplify the expression as follows:

[tex]y=\frac{196-3x}{x}[/tex]

[tex]y=\frac{196}{x}-3[/tex]

The graph representing the above equation is attached below.

On moving the pointer to y = 15, it was determined that the value of x was 10.89.

The point is also plotted on the graph

Answer:

There would be 11 hours of production in a day.

Step-by-step explanation:

All even numbers are

Answers

Answer:

2 4 6 8 10 12 14 16.....................................................

Answer:

even numbers are

Step-by-step explanation:

2,4,6,8,10,12,14,16,18,20,24,26 and so on

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You want to borrow three rock CDs from your friend. She loves math puzzles and she always makes you solve one before you can borrow her stuff. Here’s the puzzle: Before you borrow three CDs, she will have 39 CDs. She will have half as many country CDs as rock CDs, and one-fourth as many soundtracks as country CDs. How many of each type of CD does she have after you borrow three rock CDs?

Answers

interesting puzzle,

total CDs=[tex]39[/tex]

country CDs $c$ is half of rock CDs $r$, $r=2c$

and one fourth of soundtrack $s$ as country CDs , $c=4s$

express in common variable s, $r+c+s=39$

$2(4s)+4s+s=39 \implies s=3$

so $c=12$ and $r=24$

after borrowing 3 rock CDs, there be $21$ rock CDs rest will be same

The 1275 students who accepted admission to Academic University in 2016 had an average SAT score of 1356. Is 1356 a population parameter or a sample statistic?

Answers

Answer:

population parameter

Step-by-step explanation:

A population  is said to be category of individuals under study.

A population parameter is a numerical value which provides a summary to a measure of an average or percentage which describes the entire population under a study.

In a Normal Curve, the population parameter can be a population mean or population standard deviation , population proportion which represent the population.

The average SAT score of  1356 in the given study  is a population parameter

Solve the equation below for y. 6x – 3y = 36 A. y = 2x − 12 B. y = 12 − 2x C. y = 12x + 6 D. y = 6 – 12x

Answers

Answer:

y=-12+2x

Step-by-step explanation:

The equation was transformed step-by-step to isolate y on one side, and we obtained y = 2x - 12 as the final solution.

Hence, the correct answer is A. y = 2x - 12.

Given is an equation 6x - 3y = 36, we need to solve for y.

To solve the equation 6x - 3y = 36 for y, we need to isolate y on one side of the equation.

Here's the step-by-step process:

Start with the given equation: 6x - 3y = 36

Get rid of the constant term (36) on the right side by subtracting 36 from both sides:

6x - 3y - 36 = 36 - 36

6x - 3y = 0

Divide both sides of the equation by -3 to isolate y:

(6x - 3y) / -3 = 0 / -3

(6x)/(-3) - (3y)/(-3) = 0

-2x + y = 0

Add 2x to both sides to isolate y:

-2x + y + 2x = 0 + 2x

y = 2x

So, the equation was transformed step-by-step to isolate y on one side, and we obtained y = 2x - 12 as the final solution.

Hence, the correct answer is A. y = 2x - 12.

Learn more about Equations click;

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please help me answer these in variable and constant terms 7s + 8s - 6h

Answers

Answer:

see below

Step-by-step explanation:

7s + 8s - 6h

7  8 and -6 are coefficients

s and h are variables

We can combine like terms

15s -6h

15 and -6 are coefficients and

s and h are variables

Answer:

Variable Terms:  (Alphabets)

s and h

Constant terms:   (Numbers)

No constants

Coefficient terms:  (Numbers with alphabets)

7 , 8 and -6

The braking distance, D, of a car is directly proportional to the square of its speed, v. When d=5, v=10
Find d when v=70​

Answers

Answer:

         d = 245

Step-by-step explanation:

d is directly proportional to the square of a speed v

d = av²

5 = a•10²

5 = 100a

a = 0.05

d = 0.05v²

d = 0.05•70²

d = 0.05•4900

d = 245

To make a net from a container, you start by cutting one of the seams along the edge where the two sides meet. If you wanted to make a different net for the container, what would you do differently?

Answers

Answer:

I would not separate the same edges when making a second net. Also,  I would make sure that the result cannot be rotated or flipped so that it is the same  as the first.

Step-by-step explanation:

PLEASE HELP ME I NEED HELP

Answers

1/2 x 1/4 x 1/4:
1/2 x 1/16
1/32
Answer: 1/32

Reason is because fractions have a different function. Multiplying Is multiple both numerator and denominator. Division you have to do KCF: Keep Change Flip then multiply. Subtracting and adding you must have the denominator as the same for both numbers.

Hoped This Helped You

Answer:

V = 1/32 yd^3

Step-by-step explanation:

To find the volume

V= l*w*h  where l is length, w is width, and h is height

V = 1/4 * 1/4 * 1/2

V = 1/32 yd^3

Hi! Just a quick question, whats the equation i have to type?
The sum of the angle measures of the polygon is 540°. Write and solve an equation to find the value of x.

Answers

Answer:

ol so polygon all sum is 540

we know that pentagon of 5 sides always has sum 540

so 5x = 540

x = 108

as per me ...

Th sum of a number and two is equal to eight
The equation?

Answers

Answer:

2+n = 8

Step-by-step explanation:

2+ something must equal 8.

8 minus 2 = 6

n=6

Answer:

Let the number be n.

According to question,

2+ n =8

=) n = 8-2

=) n =6

hope you understand.

A. 264
B. 233
C. 153
D. 268

Answers

9514 1404 393

Answer:

  A.  264 mi³

Step-by-step explanation:

The area of the right triangular base is ...

  A = 1/2bh

  A = 1/2(6 mi)(8 mi) = 24 mi²

Then the volume of the prism is ...

  V = Bh . . . . . where B is the base area and h is the distance between bases

  V = (24 mi²)(11 mi) = 264 mi³

What is 41.095 rounded to 1,2 and 3 significant figures​

Answers

Answer:

Step-by-step explanation:

Rounded to 1 sig fig, the number is 40; rounded to 2 sig fig's, the number is 41; rounded to 3, the number is 41.1

please whats the answer to 8 - 14s + 3g

Answers

Answer:

8 - 14s + 3g

Step-by-step explanation:

None of the terms are like terms so it cannot be simplified

8 is a constant

-14 and 3 are coefficients

s and g are variables

━━━━━━━☆☆━━━━━━━

▹ Answer

8 - 14s + 3g

▹ Step-by-Step Explanation

Since we can't combine like terms, the answer will remain the same as the problem:

8 - 14s + 3g

Hope this helps!

CloutAnswers ❁

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Find the nth term of each of the sequences.
(a) 16, 19, 22, 25, 28, ...
(b) 1,3,9,27,81,...

Answers

Answer:

a) 16, 19, 22, 25, 28, 31, 34, 37, 40

b) 1, 3, 9, 27, 81, 243, 729, 2187

Explanation:

a) Add 3 on every number.

b) Multiply every number by 3.

The table shows the annual profits (in thousands of dollars) of a county fair from 2013 to 2016. What must the 2017 profit be (in hundreds of dollars) to break even over the five-year period?

Answers

Answer:

8 hundred dollars

Step-by-step explanation:

The break even value means zero profit or loss over the five years period. So if 2017 profit is x, then we get:

2.5 + 1.4 - 3.3 - 1.4 + x = 0x - 0.8 = 0x = 0.8 thousands of dollars x=  800 dollars

evaluate 15.2% of a 726 + 12.8% of 673

Answers

Answer:

196.496

Step-by-step explanation:

0.152x726+0.128x673

110.352+86.144

=196.496

A bag contains 2
2
blue marbles, 2
2
red marbles, and 2
2
yellow marbles.

If Jenna randomly draws a marble from the bag (and puts it back) 15
15
times, how many times should she expect to pull a yellow marble?

Answers

Answer:

5 times

Step-by-step explanation:

Jenna wil most likely pull a yellow marble 1/3 of the time, because the total number of marbles is 6, and there are 2 yellow marbles, 2/6 which is 1/3. 1/3 times 15 is 5. So Jenna will most likely pull a yellow marble 5 times.

The expression 8x2 − 176x + 1,024 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998. Choose the equivalent expression that is most useful for finding the year where the population was at a minimum.

Answers

B

Step-by-step explanation:

Might be wrong

The residents of a city voted on whether to raise property taxes. The ratios of yes votes to no votes was 5 to 7. If there were 10,740 total votes, how many no votes were there?

Answers

Answer:

6,265 votes

Step-by-step explanation:

The residents of a city voted on whether to raise property taxes. The ratios of yes votes to no votes was 5 to 7. If there were 10,740 total votes, how many no votes were there?

Given that :

Ratio of yes votes to no votes = 5 to 7

Yes votes : no votes = 5 : 7

Total votes = 10,740

The actual number of yes votes and no votes can be obtained thus :

Sum of ratio = (5 + 7) = 12

(ratio of vote / sum of ratio) * total votes

Number of no votes :

(Ratio of no votes / total ratio) * total votes

(7 / 12) * 10,740

0.5833333 * 10,740

= 6,265 votes

Number of no votes = 6,265 votes.

Change 300mm into cm​

Answers

Answer:

30 centimeters

Step-by-step explanation:

true

It’s going to be 30 Cm

Will Mark Brainlest Help Please Please .​

Answers

Answer:

i think this is the correct answers

Step-by-step explanation:

Mark me Brainlest please

Rohan is 2 years elder than rohit. Five years ago , one third of his age was equal to three-sevenths of rohit's age. Clalculate their present ages. pl tell with explanation

Answers

Answer:

I hope it will help you.

have a great day . ☺☺

Answer:

Step-by-step explanation:

Let Rohan age = xLet Rohit age =y

x = y + 2

(1/3)* (x - 5 ) = (3/7)(y - 5)      Multiply both sides by 3

(x - 5) = 9/7 (y -5)                  Multiply both sides by 7

7(x - 5) = 9(y - 5)                   Remove  the brackets

7x - 35 = 9y - 45                  Add 45 to both sides

7x + 10 = 9y

y = x - 2

7x + 10 = 9(x - 2)

7x + 10 = 9x - 18

7x +10 + 18 = 9x

28 = 2x

x = 14

y = 14 -2

y = 12

I need help ASAP!! Please explain how to solve the problem

Answers

Answer:

Step-by-step explanation:

Surface Area of Cylinder = 2πrh+2πr^2

2π(3)(12) + 2π(3)^2

= 282.7 yd^3

answered by g a u t h m a t h

What is the slope of the line given by the equation y = 4x? Enter your answer as an integer or fraction in lowest terms.

Answers

Answer:

slope =  4

Step-by-step explanation:

recall that for a linear equation in the form:

y = mx + b,

m = slope of line and b is the y-intercept.

In our case, we are given

y = 4x

If we compare this with the general equation above,

we can see that m = 6 and b = 0

hence slope = m = 4

I NEED HELP PLEASE I GIVE 5 STARS !

Answers

Answer:

C. 2[tex]\sqrt{29}[/tex]

Step-by-step explanation:

Square root of 116 is 10.7703296

Square root of 29 is 5.38516481, but as it is multiplied by 2, it becomes 10.7703296

Solve the system of linear equations by graphing.

9x + 3y = -3
2x - y = -4

Answers

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( -Screen Shot 1 is for (A) and Screen Shot 2 is for (B) - )

A) [tex]9x + 3y = -3[/tex]

= [tex]y = -3x -1[/tex]

Xmin: -10

Xmax: 10

Ymin: -10

Ymax: 10

~~~~~~~~

B) [tex]2x - y = -4[/tex]

= [tex]y = 2x + 4[/tex]

Xmin: -10

Xmax: 10

Ymin: -10

Ymax: 10

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Answer:

y= -3x-1 and y=2x+4

Step-by-step explanation:

1. Rearrange the equations to the proper format which would be y=mx+b.

2. You can do this by adding or subtracting on both sides

- start with the first equation. subtract 9x on both sides.

- than divide 3 on both sides

- next equation subtract 2x on both sides

- divide -1 on both sides

which would get you y=-1-3x and y= 4+2x.

3. reagrange this equation again ( this step isn't always necessary)

you will get y= -3x-1 and y=2x+4

Remember M stand for the slope so your slopes for these two equations would be -3/1 and 2/1. Think about rise over run when you use slope. B is the y-intercept which means it will touch the y-axis.

Hope this helped!

1. (01.03 LC)
Lillie is saving up for a trip she is taking with friends during her break from school. If Lillie's current monthly net pay is $490.00 and her monthly expenses are $387.10,
what percent of her net pay is left for savings? (2 points)
21%
27%
45%

Answers

Taking into account the definition of percentage, the correct option is: 21 percent of her net pay is left for savings.

First of all, the percentage represents a given quantity that establishes relationships between two quantities, using the number 100 as a reference.

That is, the percentage indicates what part of a total represents a quantity.

To obtain the percentage, the division must be made between the portion of the total and the total amount that belongs to the set, whose result is multiplied by 100.

In this case, if Lillie's current monthly net pay and her monthly expenses are $ 387.10, and I assume that the rest of the money is saved by Lillie, then the amount of money saved is $ 490 - $ 387.10 = $ 102.9.

Then:

portion of the total= amount of money saved= $102.9total amount= Lillie's current monthly net pay= $490

So, the percentage is calculated as:

percentage= (102.9÷490) ×100

percentage= 0.21×100

percentage= 21%

The correct option is: 21 percent of her net pay is left for savings.

Learn more about percentage with this examples:

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SAVINGS ACCOUNT Demetrius deposits $120 into his account. One week later, he withdraws $36. Write an addition expression to represent this situation. How much higher or lower is the amount in his account after these two transactions?

Answers

Answer:

+$120 - $36

Higher by $84

Step-by-step explanation:

Addition expression is an equation without the equals to sign

$120 - $36

When the first expression was made, the account was higher by $120

After the second transaction, the account would be higher by $120 - $36 = $84

Other Questions
To calculate the after-tax cost of debt, multiply the before-tax cost of debt by ________________Water and Power Company (WPC) can borrow funds at an interest rate of 10.20% for a period of four years. Its marginal federal-plus-state tax rate is 45%. WPC's after-tax cost of debt is ______________ (rounded to two decimal places). At the present time, Water and Power Company (WPC) has 15-year noncallable bonds with a face value of $1,000 that are outstanding. These bonds have a current market price of $1,329.55 per bond, carry a coupon rate of 12%, and distribute annual coupon payments. The company incurs a federal-plus-state tax rate of 45%. If WPC wants to issue new debt, what would be a reasonable estimate for its after-tax cost of debt (rounded to two decimal places)? A. 4.02% B. 4.47% C. 3.58% D. 5.14% At label ________, the cell is not hyperpolarized; however, repolarization is in progress, as the sodium channels are inactivated or becoming inactivated, and many potassium channels have opened. Coherent light that contains two wavelengths, 660 nm (red) and 470 nm (blue), passes through two narrow slits that are separated by 0.310 mm. Their interference pattern is observed on a screen 4.40 m from the slits. What is the disatnce on the screen between the first order bright fringe for each wavelength? Un taxmetro inicia con 50 unidades y el banderazo o arranque es de $4500, las unidades comienzan a cambiar p0r cada kilometros recorrido. La funcin lineal que representa esta situacin es y = 50x +4500 donde y representa el precio que cuesta la carrera y x la distancia recorrida en kilmetros. a) Cuanto cuesta una carrera si la distancia recorrida fue de 23 kilmetros? which country's hospitality is based on the principle 'Atithi Devo bhava Assume that 33.0 mL of a 0.10 M solution of a weak base B that accepts one proton is titrated with a 0.10 M solution of the monoprotic strong acid HX.How many moles of have been added at the equivalence point?n = ? mol write a letter to your mom requesting her permission to spend the forthcoming holiday with your aunt in another town Manny wants to be involved in a business but is not sure which type of business to join or create. He has capital to invest. He has a good network of potential investors and partners. He has no experience in management. Which statements can be used to compare the characteristics of the functions? Select three options. As the workforce becomes more diverse, why does performance appraisal become a more difficult process? What is the minimum thickness of coating which should be placed on a lens in order to minimize reflection of 566 nm light? The index of refraction of the coating material is 1.46 and the index of the glass is 1.71. Pasteur's experiments proved that ________. Pasteur's experiments proved that ________. spontaneous generation can only occur if nutrient broth is left open to the environment cells cannot survive in swan-necked flasks preexisting cells present in the air can grow in sterilized nutrient broth sterilizing nutrient broth prevents spontaneous generation in order to grow, cells need to be supplied with oxygen Ms. Mitchell brings in 700 sour worms to distribute to the students at ... /1her school. She gives 2/7 of the worms to the Kindergartners. Of theremaining worms, she gives 7/25 to the 1st graders. Of the remainingworms, she gives 4/9 to the 2nd graders. Of the remaining worms, shegives 37/50 to the 3rd graders. Ms. Mitchell then distributes theremaining worms evenly between the 4th graders. If there are 13 4thgraders, how many worms does each 4th grader get? Definition of modern history SejeA burning electric bulb is a good example of a(an)... object.2 pointsilluminatedluminoustranslucenttransparentClear selectionCan you help me answer this pls What is the present value (PV) of an investment that pays $60,000 every year for four years if the interest rate is 9% APR, compounded quarterly? students who prefer rock or classic rock to students who prefer all other types of music The coldest American state is Alaska. The winters are extremely cold and the average temperature is 5 degrees Celsius what is the climate zone You attended a party last night and you consumed several glasses of wine. You are planning to fly your aircraft home and have been careful to make sure 8 hours have passed since your last alcoholic drink. You can make the flight now only if you are not under the influence of alcohol and your blood alcohol level is When dividing polynomials using factorization, canceling identical factors in the denominator and the numerator will give the _______.