Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream shop for $8 per hour. Leah cannot work more than a total of 20 hours per month. Let x represent the number of hours Leah babysits and let y represent the number of hours Leah works at the ice cream shop. How did you determine the pair(s) (x, y) that Leah could work to meet the given conditions in item 15?

Answers

Answer 1

Answer:

Babysitting= 13.3 hours

Icecream shop= 6.6 hours

Step-by-step explanation:

Step one:

let the hours for babysitting be x

and the hours for icecream shop be y

we are told that Leah would like to earn $120 monthly

She babysits for $5 per hour and

works at an ice cream shop for $8 per hour

5x+8y=120---------------1

Leah cannot work more than a total of 20 hours per month

x+y≤20-------------2

The system of equation for the situation is

5x+8y=120

x+y≤20

x=20-y

put x=20-y in eqn 1

5(20-y)+8y=120

100-5y+8y=120

3y=120-100

3y=20

y=20/3

y=6.6 hours

put y=6.6 in eqn 2

x+6.6≤20

x≤20-6.6

x=13.3hours


Related Questions

Someone help me :/ asap :(

Answers

Answer:

B

Step-by-step explanation:

Answer: B

Step-by-step explanation:

On Monday, Takira counted 75 splatters of bird droppings on her car. On Tuesday afternoon, she counted 21 more. What is the percent change in the number of bird droppings on Takira's car from Monday to Tuesday?

Answers

Answer:

28%

Step-by-step explanation:

percent change in the number of bird droppings = increase in splatters / splatters counted on Monday x 100

[tex]\frac{21}{75}[/tex] x 100 = 28%

A soccer team uses 5-gallon coolers to hold water during games and practices. Each cooler holds 640 fluid ounces. The team has small cups that each hold 6.25 fluid ounces and large cups that each hold 8.75 fluid ounces. 1. The team fills c coolers for practice. During practice, the players pour s small cups and g large cups of water. Write an expression that represents the amount of water that remains in the coolers.

Answers

Answer:

640c - 6.25s - 8.75g

Step-by-step explanation:

640c - 6.25s - 8.75g

just fill out why it is 3

Answers

Answer:hi

Step-by-step explanation:hi

Because, in reverse it's basically asking what is 12 minus 5. So, 12 minus 5 is 3!

Hopefully, this helps! :D

Ask your question below.

What is the distance from L to M?

Answers

Answer:

B or A

But i would go with B

Step-by-step explanation:

Answer:

A. 14 units

Step-by-step explanation:

You can just count blocks down and right. (vertical and horizontal)

The angle of elevation of a cloud from a point 60m above a lake is 30" and the angle of
depression of the reflection of the cloud in the lake is 60° find the height of the cloud from
the surface of the lake.
(THIS QUESTION IS FROM INDIA PRE BOARD EXAM)​

Answers

Answer:

80 m

Step-by-step explanation:

Answer

answer

Answer

what is the value of the expression of 83-5x6

Answers

Answer:

x = 77/5

Step-by-step explanation:

I am going to assume that the equation is 83 - 5x = 6. First, we need to subtract 6 on both sides. So, our equation should look like 77 - 5x = 0

Then, add 5x to both sides. So, the equation should be 77 = 5x. Divide by 5 on both sides to get x = 77/5.

Abby has to measure the weight of objects in pounds for her homework, but she only has a scale that measures ounces. If she finds an object weighs 48 ounces, how many pounds does it weigh?

Answers

Answer: 3 pounds

Step-by-step explanation: 1 pound=16 ounces

Now that you know what the conversion from ounces to pounds is, you just have to divide the number of ounces in the problem (48) by 16.

48÷16=3

As I said, I’m bad at math but I need a bit more help!

Answers

Could you show the problem? I am also bad at math but showing the whole problem might give you the right answer

What is y-8=3(x+1) in standard form

Answers

Answer: 3x - y= -11

Step-by-step explanation: just rewrite in youre standard form equation

A communications company has developed three new designs for a cell phone. To evaluate consumer response, a sample of n = 120 college students is selected and each student is given all three phones to use for one week. At the end of the week, the students must identify which of the three designs they prefer. The distribution of preference is as follows: Design 1=54, Design 2=38, Design 3=28. Do the results indicate any significant preferences among the three designs?

Answers

Answer:

The answer is "Its results are not consistent with its three designs Yes. Its results show significant differences between both the three designs."

Step-by-step explanation:

Following are the distribution of preference:  

[tex]Design 1 =54 \\\\ Design 2=38 \\\\\ Design 3=28 \\\\[/tex]

[tex]Design \ \ \ \ \ \ \ \ \ \ O_i \\ 1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 54 \\2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 38\\3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 28 \\Total \ \ \ \ \ \ \ \ \ \ 120[/tex]

An expected frequency([tex]E_i[/tex]) has 40 Null hypotheses to take n=120.to each design:  

The effects of the three designs are standardized  

Inaccurate.  

Hypothesis Alternative:  

The effects of the three prototypes are not uniform

Degrees Of freedom [tex]=(n-1)=(3-1)=2[/tex]

[tex]H_o, x^2 \ test\ statistic \ \sum_i {\frac{(O_i -E_i)^2}{E_i}} \\[/tex]

[tex]= \frac{(54 -40)^2}{40}+\frac{(38-40)^2}{40} + \frac{(28-40)^2}{40}\\\\=49+0.1+3.6\\\\=8.6[/tex]

Chi-squared distribution critical value at [tex]\alpha = 0.05 (x^2 _{0.052})=5.99[/tex]  

Since [tex]x^2, a[/tex] value [tex]> x^2 -[/tex]table of [tex]\alpha =0.05 =5.99[/tex]is determined.  

So[tex]H_o[/tex] is rejected.

Write the equation in slope-intercept form: x-4y=8

Answers

Answer:

y=1/4x-2

Step-by-step explanation:

slope intercept form is y=mx+b

your equation right now is in standard form: ax+by=c

equation: x-4y=8

what we want to do is isolate y on one side

subtract x from both sides

-4y=-x+8

divide by 4 on both sides

y=1/4x-2

Hope this helps! :)

Answer:

[tex]y = \frac{1}{4} x - 2[/tex]

Step-by-step explanation:

First thing to do is siolate the y variable. We do this by subtracting x from both sides of the equation in this particular equation.

[tex]x - 4y = 8 \\ - x \: \: \: - x \\ - 4y = - x + 8[/tex]

Now we change the -4y into just y using division. We have to divide boths sides by -4 to do so.

[tex] - 4y = - x + 8 \\ \div ( - 4) \: \: \div ( - 4) \\ y = \frac{1}{4}x - 2[/tex]

There it is in slope intercept form.

What is the domain of the step function f(x) graph form

Answers

Answer:

When a function is represented on a graph of against , the domain of the function is the values for which the graph is drawn. Looking at the graph more closely, we can see that this step function has been drawn for values from negative eight all the way up to 6.5.

Step-by-step explanation:

Answer:

Step-by-step explanation:

When a function is represented on a graph of against , the domain of the function is the values for which the graph is drawn. Looking at the graph more closely, we can see that this step function has been drawn for values from negative eight all the way up to 6.5.

Hope this helps! I can give examples if needed!

3x−x+3−9=6
i cant solve this ​

Answers

Answer:

3x - x + 3 - 9 = 6

3x - x + 3 = 6 +9

2x +3 = 15

2x = 15 - 3

2x = 12

x= 12/2

x= 6

Rules - When the side changes , sign changes .for ex (-9) on changing side (from left to right ) becomes plus 9

If you flip a fair coin 6 times, what is the probability that you will get exactly 4 tails

Answers

Answer: So the number of outcomes with exactly 4 tails is 720/2/24 = 15. Finally we can now calculate the probability of getting exactly 4 tails in 6 coin tosses as 15/64 = 0.234 to 3 decimal places.

Answer:

4 tails in 6 coin tosses as 15/64 = 0.234 to 3 decimal places.

Step-by-step explanation:

I NEED HELP QUICKLY PLEASE. POSSIBLY GIVING BRAINLIEST.

A computer technician charges a flat rate for home visits plus $ 55 per hour. The technician bills $190 for a 2-hour home visit to install a new hard drive. The equation y − 190 = 55(x − 2) gives the total amount y the technician charges for x hours of work.

The equation in slope-intercept form is y = 55x + 80.

What does the y-intercept in this equation represent?

a. the rate of change

b. the total cost

c. the flat rate

IT IS NOT A. I TRIED AND GOT IT WRONG.

Answers

Answer:

y - 190 = 55(x - 2)....distribute thru the parenthesis

y - 190 = 55x - 110....now add 190 to both sides

y = 55x - 110 + 190..simplify

y = 55x + 80 <== slope intercept form (y = mx + b)

i found this on brainly:)

Step-by-step explanation:

Answer:

the flat rate is the right answer on edge

Step-by-step explanation:

Last question I swear

Answers

Answer:

y = 3

Step-by-step explanation:

Subtract 11 from both sides to get:

2y = 6

Then divide both sides by 2 to isolate y:

y = 3

Please answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

61

Step-by-step explanation:

60^2+11^2=z

3721=z^2

z=61

Hope this helps!

Please answer I need help

Answers

Answer:

B, C, D

Step-by-step explanation:

The following picture below proves that option b, c, and d are the correct pairs that satisfy the function y=7x+5.

Hope this helps! :)

Almonds cost $5 per pound. Cashews cost $2 per pound. Matt purchased a container of almonds and cashews that sells for $3 per pound. The label was torn and says that there are 10 pounds of cashews in the container. How many pounds of almonds are in the container?

A) 5 pounds

B) 10 pounds

C) 15 pounds

D) 25 pounds​

Answers

Answer:

Step-by-step explan

select the equation represented by the graph

Answers

Answer:

your answer will bw the option A.

Step-by-step explanation:

Simplify the expression.


5.3x - 9 + 7.6x

Answers

Answer:

12.9x-9

Step-by-step explanation:

First you have to combine the like terms which are 5.3x + 7.6x= 12.9x. Then you just rewrite the equation 12.9x-9. You just leave the 9 by it self beacuse thers no other like terms.

Anwer

12.9x−9 :)

5.3x+−9+7.6x

Combine Like Terms:

=5.3x+−9+7.6x

=(5.3x+7.6x)+(−9)

=12.9x+−

A mom mixes 9 ounces of juice with 3 ounces of water. What present of the drank is juice?

Answers

Answer:

6 ounces of juice

Step-by-step explanation:

Answer:

12 ounces

Step-by-step explanation:

A mom mixes 9 ounces of juice with 3 ounces of water. This means that the total ounces of drink= 9+3 = 12 ounces. The percent of the drink which is juice is: Ratio of the quantity of juice to the total quantity of drink and multiplying this obtained quantity by 100.

A graphic novel prints 12 issues per year, and a comic book prints 10 issues per year. The total number
of pages in all the issues of the graphic novel for one year is 32 more than the total number of pages in
all the issues of the comic book for one year. Each issue of the graphic novel has 18 fewer pages than
each issue of the comic book. Which system of equations can be used to find g, the number of pages in
each issue of the graphic novel, and c, the number of pages in each issue of the comic book?

Answers

Answer:

answer is che choi

Step-by-step explanation: wow ur in high school mathematics? i have this same question in middle school algrbra HHAHA


A rectangle has a perimeter of 80 feet. Its height is 5 feet shorter than 4 times its base. What are the
dimensions (both base and height) of this rectangle?

Answers

Answer:

7 feet is the width, and 33 feet is the length.

Step-by-step explanation:

Brainliest would be great

Answer:

Let the height be x feet and the base be y feet

1st equation:

2(x+y)=80

x+y=40

2nd equation:

x=4y-5

x-4y=-5

Solution of the 1st and the 2nd equation:

x+y=40.1

x-4y=-5.-1

_________

x+y=40

-x+4y=5

_________

5y=45

y=9

x+y=40

x+9=40

x=40-9

x=31

.

. . The height is 31 feet and the base is 9 feet

The table shows the cost to Brenda for her textbooks at her local college. Which description accurately matches the table?
A)New textbooks cost $120 each, and used textbooks cost $40 each. She is
buying 2 new textbooks and x used textbooks.
B)New textbooks cost $100 each, and used textbooks cost $80 each. She is
buying 2 new textbooks and x used textbooks.
C)New textbooks cost $120 each, and used textbooks cost $80 each. She is
buying 2 new textbooks and x used textbooks.
D)New textbooks cost $100 each, and used textbooks cost $40 each. She is
buying 2 new textbooks and x used textbooks.

Answers

Answer:

a

Step-by-step explanation:

120plus2 equals 240 then add 40 for every number on graph

Answer:

a

Step-by-step explanation:

help asap will make brainlest

Answers

Answer:

C

Step-by-step explanation:

Slope of first equation: -1/2; y-int: -1

Slope of second equation: 1/4; y-int: -4

Answer:

C:

y=  -1/2x -1

y=  1/4x -4

Step-by-step explanation:

Quick maths

please help me I'm being timed ​

Answers

the second one! hope this helped :)

What is half of 36 kg

Answers

half of 36 kg will be 18 kg

The half of the 36 kg is obtained by dividing the quantity by 2 and it is 18 kg.

The division is a mathematical operation that contains decoupling a quantity or number into equal proportions. It is the inverse operation of multiplication. In division, a number called the dividend is divided by another number called the divisor to get the quotient. When a number is not completely divisible by another number, then dividing the number leaves a single digit that cannot be divided further by that number, thus digit is known as the remainder.

Divide 36 kg by 2,

Half of 36 = [tex]\frac{36}{2} = 18[/tex].

Therefore, half of 36 kg is 18 kg.

Learn more about Division here:

https://brainly.com/question/2273245

#SPJ6

A pack of five basic solid T-shirts costs $29.95 in a store. The sales tax where they are sold is 7.75%. What is the unit cost of a t-shirt, the price per t-shirt, with tax included?

$5.99
$6.45
$6.75
$6.99

Answers

Answer:

6.45

Step-by-step explanation:

29.95+7.75%=32.27

32.27/5

6.45

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