Bethany is working her way through school. She works two part-time jobs for a total of 23 hours a week. Job A pays $5.70 per hour, and Job B pays $7.10 per hour. How many hours did she work at each job the week that she made $143.70.

Answers

Answer 1

Step-by-step explanation:

x = number of hours A

y = number of hours B

x + y = 23

5.7x + 7.1y = 143.7

from the first equation we get

x = 23 - y

this we use in the second

5.7×(23 - y) + 7.1y = 143.7

131.1 - 5.7y + 7.1y = 143.7

1.4y = 12.6

y = 12.6/1.4 = 9

x = 23 - y = 23 - 9 = 14

she worked 14 hours on job A and 9 hours on job B.


Related Questions

help me find the derivative

Answers

[tex]\dfrac{d}{dx} \left(e^{x^2} \cdot x^2\right)\\\\=e^{x^2} \dfrac{d}{dx} (x^2) + x^2 \dfrac{d}{dx}\left (e^{x^2}\right)\\\\=e^{x^2} \cdot 2x + x^2 \cdot e^{x^2} \cdot \dfrac{d}{dx} (x^2)\\\\=2x e^{x^2} + 2x^3 e^{x^2}\\\\=2xe^{x^2}(1+x^2)[/tex]

12 5 x-10 what is the value of x

Answers

Answer:

X=23

Step-by-step explanation:

12²+5²=(X-10)²

144+25=(X-10)²

169=(X-10)²

√169=√(X-10)²

13=X-10

X=23

Sam paid $50 for her new skateboard. In addition, she paid $3.50 in taxes. What was the tax rate on Sam's purchase?

Answers

Answer: $53.50 ?

Step-by-step explanation:

eight years ago mario was 25% younger than he is now how old is mario now

Answers

Answer:

32.

Step-by-step explanation:

32
this is because 25% equals 1/4 so 8 times 4 is 32

In the equation 2x + 3y = 19, what is the constant?

Answers

Answer:

  19

Step-by-step explanation:

The numerical value not being used as a multiplier of a variable is referred to as the constant. In this equation, the constant is 19.

_____

Additional comment

In different contexts, all of the numerical values, 2, 3, 19, can be referred to as both coefficients and constants. We can say that x has a constant coefficient of 2. We can say the coefficients in this equation are 2, 3, 19. Use the terminology defined in your curriculum materials.

In the equation, y=3x+2, is the point (2,8) a solution the equation?

1: Yes, the point is solution
2: No, the point is not a solution

Answers

Answer:

Given: The equation of the line y = 3x+2

The condition for a point to be on a line is to satisfy its equation

(i) Let us consider (1/3, 3), substitute x = 1/3 and y = 3 in given equation

3 = 3(1/3) + 2

= 1 + 2

= 3

Hence, (1/3, 3) lies on the line

(ii) Let us consider (2, 8) and substitute x = 2 and y = 8 in given equation

8 = 3(2) + 2

= 6 + 2

= 8

Hence, (2, 8) lies on the line

(iii) Let us consider (0, 2) and substitute x = 0 and y = 2 in given equation

2 = 3(0) + 2 = 2

Hence, (0, 2) lies on the line

(iv) Let us consider (7, 19) and substitute x = 7 and y = 19 in given equation

19 = 3(7) + 2

= 21+ 2

= 23 ≠ 19

hence, (7,19) doesn’t lie on the line

• Therefore ,Yes the point is a solution .

Step-by-step explanation:

Hope this helps you XD ✌️Carry on learning !!
Yes, the point is a solution
The point (2,8) means that whenever x=2, the y=8.
If you substitute x=2, then y=3(2)+2=8!

What is an equation of the line that passes through the points (-6, 5) and (6, -7)?


Plz answer

Answers

We can put this into point-slope form, and then put this into slope-intercept form. Firstly, we need to find the slope. The slope is -12/12. This means it is -1. I found this by using y2-y1/x2-x1.

Next, we use point-slope form. Point-slope form is y-y1=m(x-x2). I will use the coordinate (-6, 5). y-5=-1(x-(-6) is y-5=-x-6. Once we solve for y, we get y=-x-1.

The answer is y=-x-1

6x+a= 5(x+f) make x subject

Answers

Answer:

x = 5f - a

Step-by-step explanation:

6x + a = 5(x + f)

6x + a = 5x + 5f

x = 5f - a

Ming was planning a trip to Western Samoa. Before going, she did some research and learned that the exchange rate is 6 Tala for $2. How many tala would she get if she exchanged $6?

Answers

Answer:

18 Tala

Step-by-step explanation:

6/2= 3

3*6= 18

18 Tala

which graph appears to show a proportional relationship between x and y ​

Answers

Answer:

What graph?

Step-by-step explanation:

No wonder why you have been waiting 25+ mins to get an answer

d.One rectangle weighs what

Answers

Answer:

the answer is 2

Step-by-step explanation:

because 7 + 2 = 9 then 9+2=11

You rent an apartment that costs
$
1600
$1600 per month during the first year, but the rent is set to go up 11% per year. What would be the rent of the apartment during the 10th year of living in the apartment? Round to the nearest tenth (if necessary).

Answers

Answer:

$4,750

Step-by-step explanation:

Answer:

3360

Step-by-step explanation:

1600*.11*10= 1600 *.11 = 176 * 10 = 1760 + 1600 = 3360


A gym has yoga classes. Each class has 13 students. If there are c classes, write an equation to represent the total number of students s taking yoga.

Answers

If there are 13 students per class and c amount of classes then 13 times c is equal to the total amount of students. We also know s represents the total number of students.

Therefore algebraically speaking we can say:

13c=s

PLEASEEE HELPPP!!!!!

Answers

Answer:

-5+.3

Step-by-step explanation:

eeeeeeee

m is a positive integer and n is a negative integer. Which of these is always positive?
(picture posted below)


A. Only (i)
B. Only (ii)
C. Both (i) and (ii)
D. Cannot say

S ANSWER ASAP!! ILL MARK U BRAINLIEST!!!♡♡♡​

Answers

Answer:

n

Step-by-step explanation:

it's simple mathematics that's the way it is

Leo wants his bowling mean to be at least 150. His scores are shown. 138, 157, 146, 129, 151

What is the lowest score for Leo’s mean to be 150.0?
(1 point)
121
146
154
179

Answers

The lowest score for Leo’s mean to be 150.0 is 179.

Mean can be described as the average of a set of numbers.

Mean = sum of number / total numbers

In order to determine the lowest score Leo can have so his mean can be at least 150, the sum of his current scores has to be determined.

Sum of scores = 138 + 157 + 146 + 129 + 151 = 721

The second step is to determine the sum of scores when his mean is 150

Sum of scores when mean is 150 = 150 x 6 = 900

Least score = 900 - 721 = 179

To learn more about mean, please check: https://brainly.com/question/12528427

Answer:

179

Step-by-step explanation:

One it says he wants his score to be at least 150, and then it shows what his scores are which is;  138, 157, 146, 129, 151, then it gives the options of

121

146

154

an 179

then it says what is the lowest score for Leo's mean to be 150.0

and the lowest that it can be is the answer which is 179

Hope this helped, if yes pls put thanks :D

Name an example of a real life use of the sine graph.

Answers

Answer:

Sine and cosine functions can be used to model many real-life scenarios – radio waves, tides, musical tones, electrical currents.

im sorry if its wrong I just search this :)

(Topic: Vectors) - Prove that ADE is a straight line

Answers

Answer:

Because the angle is a 180 degree angle.

Step-by-step explanation:

Answer:

If it looks straight, well then i would guess that it would be straight. You can also put it against a ruler and see if it matches up. if it does not then it is not a line.

Step-by-step explanation:

hope this helps

pls brainliest

calculate the state income tax owed on a $50,000 per year salary (answer is not 2500)

Answers

The total tax paid is $2,300 on the yearly salary of $50,000

What tax rate applies to the first $10,000 of salary?

The first $10,000 of the salary would be charged to tax at 3% whereas the next threshold beyond $10,000 up until $50,000, in other words, the difference between the first $10,000 and $50,000, which is $40,000 is taxed at 5%.

The tax on the first $10,000 is computed as shown below:

tax on the first $10,000=$10000*3%

tax on the first $10,000=$300

The tax on the remaining $40,000 is 5% of the amount

The tax on the remaining $40,000=5%*$40,000

The tax on the remaining $40,000=$2,000

In other words, the total tax paid on the $50,000 annual salary is the sum of $300 and the $2000

total tax paid=$300+$2,000

total tax paid=$2,300

Find out more about personal income tax on:https://brainly.com/question/13793671

#SPJ1

I need help with this

Answers

Answer:

Slope: Greater for Function A

Y-intercept: Same for both

Step-by-step explanation:

Slope: The easier way would be to just graph where we get a slope of -6 for Function A and a slope of -4 for Function B. Making Function A to have a greater slope

Y-intercept: Easy, we know x=0 in the y-intercept. They both have (0,3) where x=0 meaning both their intercepts are equal

Hope this helps :)

Answer:

The slope is greater for function A and the y-intercepts are the same.

Step-by-step explanation:

The slope for function A :

= (3-0) / (0 - (0.5)

= 3 / -0.5

= -6.

The y-intercept occurs when x = 0 so:

So the y-intercept is at (0,3)

The slope for function B :

= (3-7) / (0 - (-1)

= -4.

The y-intercept occurs when x = 0 so:

So the y-intercept is at (0,3)

Find the volume of a cylinder whose radius is 2 cm and whose height is 6 cm (use ╥=3.14 and give the answer to the nearest hundredth).

Answers

V = πr²h

V = 3.14 · 2² · 6

V = 3.14 · 24

V = 75.36

Hope this helps!

Answer: 75.36

Step-by-step explanation:

If and , find .

A.

B.

C.

D.

Answers

Answer: GOONNA BE BE SIRRRRR BTW I HAVE IPHONE 21345678

Step-by-step explanation:

The height, h, in feet of a piece of cloth tied to a waterwheel in relation to sea level as a function of time, t, in seconds can be modeled by the equation h = 15 cosine (StartFraction pi Over 20 EndFraction t). How long does it take for the waterwheel to complete one turn? 5 seconds 10 seconds 20 seconds 40 seconds.

Answers

Solving the trigonometric equation, it is found that it takes 40 seconds to complete one turn.

The height is modeled by:

[tex]h(t) = 15\cos{\left(\frac{\pi}{20}t\right)}[/tex]

The initial height is [tex]h(0) = 15[/tex], hence, one turn is completed when h(t) = 15.

[tex]h(t) = 15\cos{\left(\frac{\pi}{20}t\right)}[/tex]

[tex]15 = 15\cos{\left(\frac{\pi}{20}t\right)}[/tex]

[tex]\cos{\left(\frac{\pi}{20}t\right)} = \frac{15}{15}[/tex]

[tex]\cos{\left(\frac{\pi}{20}t\right)} = 1[/tex]

The length of one turn is of [tex]2\pi[/tex], and [tex]\cos{(2\pi)} = 1[/tex], hence, the solution is found according to:

[tex]\frac{\pi}{20}t = 2\pi[/tex]

[tex]t = \frac{40\pi}{\pi}[/tex]

[tex]t = 40[/tex]

It takes 40 seconds to complete one turn.

You can learn more about trigonometric equations at https://brainly.com/question/24680641

Answer:

D. 40 seconds!! Props to guy above.

Two numbers x and y, have a sum of 23 and a difference of 7. x is greater than y
a. write two equations in x and y
b. solve your equations to find to values of x and y

please tell me the answer and explain how you got it thanks

Answers

Answer:

Below in bold.

Step-by-step explanation:

Use the elimination method:

a.   x + y = 23

     x - y = 7

b.  Adding the 2 equations eliminates y, so we have

     2x = 30

        x = 15.

     Substitute x = 15 in equation a:

      15 + y = 23

         y = 23 - 15

        y =  8.

       Answer x = 15, y = 6.

Step-by-step explanation:

this is what you are told in the problem

x+y=23............1 (the sum)

x-y=7.................2 (the difference)

PS make sure to number your equations

in equation 1 we can take x over so that we form a new equation labelled equation 3

y=23-x...........3

sub 3 into 2

x-(23-x)=7

x-23+x=7

2x=7+23

2x=30

x=15.........4

sub 4 into 1

15+y=23

y=23-15

y=8

Last month, Korey’s Comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850. Calculate Korey’s net profit margin. A. 42. 5% b. 55. 7% c. 76. 3% d. 179. 5%.

Answers

Korey's net profit margin is 42.5%.

Net profit margin is the ratio of net income to net sales. It is a profitability ratio.  Profitability ratios measure the efficiency with which a company generates profit from its asset.

Net profit margin = net income / net sales

Net profit margin = $1850 / $4350 = 0.425 = 42.5%

A similar question was answered here: https://brainly.com/question/5990973

Answer:

A. 42.5%

edge⬇️

-3 * a number j equals -120

Answers

Answer:

j = 40

Step-by-step explanation:

"-3 * a number "  means -3j

"equals -120" means = -120

-3j = -120

j = 40

need assistance with alegbra 2

Answers

Answer:

C.

Step-by-step explanation:

Because in the parentheses, it says -2, you would graph the parabola, 2 to the right of the vertex. Then place the parabola up 1, to get the vertex as (2,1).

f(x)=(x-2)^2+1

Swapna is 26 years older than her daughter Suma. 6 years later, Swapna will be thrice as old as Suma. Find their present ages.​

Answers

Ages of swapna and suma are 33 and 7 years old respectively

Let the present age of Swapna be xLet the age of Suma be y

If Swapna is 26 years older than her daughter Suma, then;

x = y + 26 ............... 1

6 years later:

Age of Swapna  = x + 6

Age of Suna = y + 6

If Swapna will be thrice as old as Suma, then;

x + 6  = 3(y + 6) ................. 2

Substitute equation 1 into 2:

y + 26 + 6 = 3y + 18

y + 32 = 3y + 18

-2y = -14

y = 7

Since x = y + 26

x = 26 + 7

x = 33

Hence ages of swapna and suma are 33 and 7 years old respectively

Learn more on equation here: https://brainly.com/question/2972832

How many fish are in the aquarium in the restaurant?

Answers

Answer:

Which Restaurant and aquarium

Step-by-step explanation:

If you tell the name I can answer it

Determine which relation is a function.
Question options:



{(–4, 3), (–2, 3), (–1, 2), (2, 5), (3, 2)}




{(–4, 1), (–2, 3), (–2, 1), (–1, 5), (3, 2)}




{(–4, 1), (–2, 3), (–1, 2), (3, 5), (3, 2)}




{(–4, 1), (–2, 3), (–1, 1), (–1, 5), (3, 2)}

Answers

Answer:

the correct answer is option ( C )

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