Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream store for $8 per hour. Leah cannot work for more than 20 hours total per month for both jobs. Let x represent the number of hours Leah babysits and y represent the number of hours Leah works at the ice cream store. Which of the following graphs and system of inequalities shows the set of solutions for Leah earning at least $120 and working no more than 20 hours?

Answers

Answer 1

Answer:

its D

Step-by-step explanation:

Answer 2

5x+8y>120 and x+y<20 are the two inequalities shows the set of solutions for Leah earning at least $120 and working no more than 20 hours

What is Inequality?

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Let x=babysitting hours paid at $5

y=ice cream shop hours paid at $8.

Total earned >120

total hours<20

So here is what our equations will look like:

5x+8y>120

x+y<20

Convert the first equation into y>mx+b format

8y>-5x+120

y>-5/8x+15

Convert the second equation into y>mx+b

x+y<20

y<-x+20

We can also solve this mathmatically by finding the point where our equations are equal:

-5/8x+15=-x+20

Add x to both sides to get:

3/8x+15=20

subtract 15 from both sides:

3/8x=5

divide both sides by 3/8:

x=13.33

The question asks us to round to the nearest whole hour, so the minimum she can babysit is 14 hours to still make $120 a week.

Hence, 5x+8y>120 and x+y<20 are the two inequalities shows the set of solutions for Leah earning at least $120 and working no more than 20 hours

To learn more on Inequality click:

https://brainly.com/question/28823603

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Related Questions

24 = -3(2а — 15) — а

Answers

Answer:

a=3

Step-by-step explanation:

24= -3(2a-15)-a -->given

24=-6a+45-a -->distribute the -3

24=-7a+45 -->combine like terms

-21=-7a -->subtract 45 from both sides

3=a -->divide both sides by -7

The polynomial p ( x ) = x 3 − 7 x − 6 p(x)=x 3 −7x−6p, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 7, x, minus, 6 has a known factor of ( x + 1 ) (x+1)left parenthesis, x, plus, 1, right parenthesis. Rewrite p ( x ) p(x)p, left parenthesis, x, right parenthesis as a product of linear factors. p ( x ) = p(x)=p, left parenthesis, x, right parenthesis, equals

Answers

Answer:

[tex]p(x)=x^3-7x-6 = (x+1)(x+2)(x-3)[/tex]

Step-by-step explanation:

Given that polynomial:

[tex]p(x)=x^3-7x-6[/tex]

Known factor: [tex](x+1)[/tex]

To find:

Equation of the polynomial as the product of linear factors.

Solution:

The degree of polynomial is 3, and when we divide it by a linear equation, the result will be a quadratic.  That quadratic will have 2 solutions.

We can solve the quadratic in two linear factors and as a result we will have the answer.

First of all, we need to divide the polynomial [tex]p(x)[/tex] with the given factor [tex](x+1)[/tex] to find the other factors.

[tex]\dfrac{x^3-7x-6}{x+1} = x^2-x-6[/tex]

Solving the quadratic:

[tex]x^2-x-6 = x^2-3x+2x-6\\\Rightarrow x(x-3)+2(x-3)\\\Rightarrow (x+2)(x-3)[/tex]

So, the answer is:

[tex]p(x)=x^3-7x-6 = (x+1)(x+2)(x-3)[/tex]

Answer:

(x+1)(x+2)(x-3)

Step-by-step explanation:

Find The Value Of Segment JK

Answers

Answer:

Step-by-step explanation:

since the two triangles are congruent,

GH = JK

Since, GH = 10 cm

JK is also 10 cm

Hope this helps

plz mark as brainliest!!!!!!

⎧ ​ y=4x(x−2) x+y=2 ​ One of the solutions to this system is (2,0)(2,0)left parenthesis, 2, comma, 0, right parenthesis. Find the other solution. Your answer must be exact. ((left parenthesis ,,comma ))

Answers

7.5 is the answer to your very long problem

Suppose cot(theta) = 5/12, where pi < theta < 3pi/2. What is sin(theta)?

A. -12/13
B. -5/13
C. 5/12
D. 12/13

Answers

Answer:

- 12 /13

Step-by-step explanation:

Given that:

Cot(θ) = 5 /12 ;

Recall ; cot θ = 1 / tan θ ; tan θ = sin θ / cos θ

Hence ;

tan θ = 1 / cot θ

tan θ = 1 ÷ (5 / 12)

tan θ = 1 * 12 /5 = 12/5

Tan θ = opposite / Adjacent = 12 /5

Sin θ = opposite / hypotenus

Hypotenus = √(opposite² + adjacent²)

Hypotenus = √12² + 5²

Hypotenus = √(144 + 25)

Hypotenus = √169

Hypotenus = 13

Hence,

Sin θ = opposite / hypotenus = 12 / 13

pi < theta < 3pi/2 lies in the 3rd quadrant ; SinΘ will be negative ;

Sin θ = - 12 /13

Answer:

A

Step-by-step explanation:

Ed2021

To solve 4÷13, Matthew thinks about blocks that each weigh 13 pound and how many blocks he would need to put on a scale so that the total weight was 4 pounds.

What is the quotient of 4 and 13? PLEASE PLEASE PLEASE ANSWER ASAP

Answers

Answer: 0.31

Step-by-step explanation:

Simple division.

Answer

the Answer is 12

Step-by-step explanation:

SHOW YOUR WORK
20x4.17

Answers

20x4.17
Answer = 83.4

Answer:

83.40

Step-by-step explanation

_______________2 0________

×     4 1 7

________________________

+     1 4 0

+     2 0  

+   8 0

___________________________    

=  8 3. 4 0

1/5+x+2/3=1 PLEASE HELP

Answers

Answer:

x=2/15

Step-by-step explanation:

1/5+x+2/3=1

3/15+x+10/15=15/15

13/15+x=15/15

x=2/15

Answer:

the answer to your question

what is 2/5 of 110??

Answers

Answer:

44

Step-by-step explanation:

Remember that "of" in math means the same as multiplication.

2/5 * 110 = 44

Answer:

44

Step-by-step explanation:

2/5×110

of in mathmatics means multiplication

Therefore, the answer is 44

5) William sold half of his comic book collection then purchased 10
more. He now has 24 comic books. How many books did William
begin with?

Answers

Answer:

14

Step-by-step explanation:

If he has a total of 24

and he just purchased 10

24-10= 14

Hey everyone! I was just browsing around on google, and found this is the hardest question ever...

Is there anything you know you should let go of, but you haven’t yet? Why?

Can Brainly answer it?! I guess time will tell! Also, first gets branliest!

(NO WASTING MY POINTS EITHER)

Answers

Answer: Yes my bestfriend

Step-by-step explanation:

Answer:

yes, that fact that i think im smart and that others think im smart too XD im rly dum, i hate school, my brain hurts all the time, and my dyslexia isn't helping at all. being in online school is very difficult for me cuz im not learning anything im just getting my work done (sometimes) and trying to get through the day.

Find the product of the two binomials below
(x-8) (x+4)

Answers

Multiply it out
x^2 + 4x -8x -32
Combine like terms
x^2 -4x - 32
X2 - 4x - 32

That’s your answer, hope this helps! Also, the 2 is supposed to be up on the right by the x.

What is the answer to this question?
will get arwarded if you give a good explanation
(4x-3)(x-1)

Answers

Answer:

4x^2-7x+3

Step-by-step explanation:

(4x-3)(x-1)

4x^2-4x-3x+3

4x^2-7x+3

How many solutions does the equation −4y + 4y + 2 = 2 have?
a. Two
b. None
c. One
d. Infinitely many

Answers

Answer:

D

Step-by-step explanation:

Let's solve your equation step-by-step.

−4y+4y+2=2

Step 1: Simplify both sides of the equation.

−4y+4y+2=2

(−4y+4y)+(2)=2(Combine Like Terms)

2=2

2=2

Step 2: Subtract 2 from both sides.

2−2=2−2

0=0

Answer:

All real numbers are solutions.

-8+15+2x=5+6x-6x

News ASAP
My teacher didn’t teach me this

Answers

Answer:

x = -1 you have to combine like terms.

X=-1 is the correct answer. All you have to do is isolate the variable and divide each side by the factors that don’t contain the variable:)

pleaseeeeeeeeeee helppppppppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!! im literaly using half of my points i have left !!1111

Answers

Answer: The  amount that they made together is 130,640 The amount that the agency made is 20,240

Step-by-step explanation:

BRAINIEST TO CORRECT ANSWER
(2x^2 +7x)+ (−x^2+10x+3)

Answers

Answer: x2+17x+3

Step-by-step explanation:

2x2+7x−x2+10x+3

=2x2+7x+−x2+10x+3

Combine Like Terms:

=2x2+7x+−x2+10x+3

=(2x2+−x2)+(7x+10x)+(3)

=x2+17x+3

what difficulty did you encounter in determining polynomials?​

Answers

Answer:

I didn’t really encounter any difficulty in determining a polynomial. The issue was that numbers with negative exponents or those which had square roots in them aren’t referred to as polynomials.

The only minor issue was solving problems with numbers which had different exponents in them and needed some form of simplification.

you can walk 1 1/2 miles in 1/2 hour. what is your average speed?

Answers

Answer:

3mph

Step-by-step explanation:

Depending how far you're traveling and how fast you traveled. When doing speed you typically do it by hours and the unit will be miles per hour (mph).

1. 1.5 mi=0.5 hr

2. Multiple 0.5 by 2 to get one hour, and do the same to the other side

2(1.5)=2(0.5)

3. 3mi=1hr

4. The answer is 3mph

a truck weighs 9,000 pounds. a repair shop sends a tow truck that can pull 5 tons.can the tow truck tow the truck? explain.

Answers

Yes! A ton is 2000 pounds and the tow truck can pull 5 tons, so you multiply 5 by 2000. That is 10,000 pounds and is more than 9,000 pounds which is how much the truck weighs. So the tow truck can tow the truck

Hope this helps

PLEASE HELP WILL GIVE BRAINLIEST!!!!! ASAP
GEOMETRY picture of problem below!!!!

Answers

Answer:

12

Step-by-step explanation:

X x Y =20 So 12 Then 12 - 12 + 12 = 12

Which equation has exactly one solution?.
A. – 4 + 2x = 6x – 4
B. 3x + 5 = 2x – 6
C. 2(4x + 5) = 8x + 10
D. 4x – 8 = 4(x – 4)

Answers

Answer: A( – 4 + 2x = 6x – 4= x=0

Step-by-step explanation:  Solve  :    -4x = 0  

Multiply both sides of the equation by (-1) :  4x = 0

Divide both sides of the equation by 4:

                    x = 0

I NEED HELP PLEASE 10 points

Answers

Answer:

b.y=1/2x-3

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

I took the assignment

What value of x makes the equation 0.25(10x-3)= 1.5(x+2) - 0.75 true?
x= 3
x= 4
x= 3.75
x= 4.25

Answers

Answer:

Value of x = 3

Step-by-step explanation:

Given:

0.25 (10 x - 3) = 1.5(x + 2) - 0.75

Find:

Value of x

Computation:

0.25 (10 x - 3) = 1.5(x + 2) - 0.75

2.5 x - 0.75 = 1.5 x + 3 - 0.75

x = 3

Value of x = 3

Answer:

x=3

Step-by-step explanation:

x + 3x-1 + 2x+1 what is the perimeter

Answers

Answer:

To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. x is in this case the length of the rectangle while y is the width of the rectangle. The area is measurement of the surface of a shape.

Step-by-step explanation:

HELP URGENT‼️‼️

Tia needs 3/4 a cup of orange
juice for every 1/4 cup
of
water. How many cups of
orange juice does she need if
she uses 1 cup of water?

Answers

Answer:

The answer is 3 cups of orange juice.

Step-by-step explanation:

So basically it says every 1/4 cup of water, you need 3/4 cups of orange juice. Now, 1 cup of water is the same thing as 4/4 cups of water. To get to 4/4 from 1/4, you need to multiply 1/4 by 4. Because of that, you need to multiply 3/4 by 4 as well. 3/4 * 4 is 3, and that's how you get your answer.

Answer:3

Step-by-step explanation:

1) What would be another way to name plane M?
(picture attached)

A. plane KJH
B. plane J
C.plane HJG
D.plane GJN

Answers

The correct answer is C plane HJG

Help please! Answer only if you know the correct answer, thanks.

Answers

Answer:

AB and AC

Step-by-step explanation:

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(-1)(-11) please solve!!

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Answer:

A positive 11

Step-by-step explanation:

11 is your answer

Write 65% as a rate (fraction).

Answers

Answer:

65/100

Step-by-step explanation:

Answer:

65/100= 13/20

Step-by-step explanation:

divide by 5

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