Aubrey is working two summer jobs, making $8 per hour babysitting and making $10 per hour walking dogs. In a given week, she can work no more than 14 total hours and must earn no less than $120. If xx represents the number of hours babysitting and yy represents the number of hours walking dogs, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer 1

Answer:

possible solutions (2,11) (3,10)

Step-by-step explanation:

Variable Definitions:

x=the number of hours babysitting

y=the number of hours walking dogs

“no more than 14 hours"→14 or fewer hours

Therefore the total number of hours worked in both jobs, x+y, must be less than or equal to 14

x+y≤14

“no less than $120"→$120 or more

Aubrey makes $8 per hour babysitting, so in x hours she will make 8x dollars. Aubrey makes $10 per hour walking dogs, so in y hours she will make 10y dollars. The total amount earned 8x+10y must be greater than or equal to $120:

8x+10y≥120

Solve each inequality for y:

x+y≤14

y≤14−x

8x+10y≥120

10y≥120−8x

y≥ -4/5x+12

Graph y≤14−x by shading down and graph y≥-4/5x+12 by shading up


Related Questions

Someone plz help me ik the answer is 10 but how did u do it show ur work plz

Answers

Answer: 10

Step-by-step explanation:

16 x 5/8

reduce the numbers to 2 x 5

cross out 16 and 8 and you have 5 left, 16 divided by 8 = 2

2 x 5 = 10

hope this makes sense and helps you :)

Can someone pls help me

Answers

Answer:

Step-by-step explanation:

∠A + ∠B + ∠C = 180      {Angle sum property of triangle}

∠A + 65 + 55 = 180

       ∠A + 120 = 180

                ∠A = 180 - 120

               ∠A = 60

If two triangles are similar, then the corresponding angles of two triangles are congruent.

z = ∠A

z = 60

Solution -:

In ∆ ABC,

[tex]\angle[/tex] A + [tex]\angle[/tex] B + [tex]\angle[/tex] C = 180° .... (Angle sum property of a triangle)

Here, we have:

[tex]\angle[/tex] B = 65°

[tex]\angle[/tex] C = 55°

Substituting values,

[tex]\dashrightarrow\sf{\angle A + 65 + 55 = 180} \\ \\ \dashrightarrow\sf{\angle A + 120 = 180} \\ \\ \dashrightarrow\sf{\angle A = 180 - 120} \\ \\ \dashrightarrow{\boxed{\sf{\gray \angle A = 60 \: \bigstar}}}[/tex]

As we know that,

If two triangles are similar, then the corresponding sides of two triangles are congruent.

[tex]\longrightarrow\tt{z= \angle A } \\ \\ \longrightarrow{\boxed{\tt{\gray Z = 60 \: \bigstar}}}[/tex]

Roxana tiene que responder la siguiente consigna que le dio la seño ``si para dividir un numero por 10 le debo suprimir a ese numero la ultima sifra como por ejemplo 120÷10 =12 0 122÷10 =12 y me sobran 2 ¿como harias para dividir un numero decimal como 0,1 en 10 ?

Answers

Answer:

Para dividir un número decimal como 0.1 en 10 se debe adicionar un 0 del lado derecho del punto, es decir, del lado de los decimales.

Step-by-step explanation:

Dado que, si para dividir un número por 10 le debo suprimir a ese número la última cifra, como por ejemplo 120/10 es igual a 12, o 122/10 es igual 12 y me sobran 2, para dividir un número decimal como 0.1 en 10 se debe adicionar un 0 del lado derecho del punto, es decir, del lado de los decimales. Esto se comprueba al realizar dicha división:

0.1 / 10 = 0.01

0.01 / 10 = 0.001

Can someone plz help me with this one problem plzzzzz I’m marking brainliest!!!

-also when you say which graph it is just say 1st or 2nd graph

Answers

1st graph 1,6 2,7 3,8 4,9

Find the the area of a right triangle if 8cm and 12cm are a leg and a hypotenuse. Round to the nearest hundredth.

Answers

Answer:

Step-by-step explanation:

The area of a triangle is

A=bh/2 where b=base and h=height. So we first have to solve for h

8^2+h^2=12^2

h^2=12^2-8^2

h^2=144-64

h^2=80

h=(80)^(1/2), now we can find the area

A=8(80^(1/2))/2

A=4(80^(1/2)

A=35.78cm

HELP ME please i am have a bit trouble

Answers

Answer:

with what do you need help on

Y = (1/4)x

I just found two point that were clearly marked. I chose (12,3) and (24,6) and the used the slope formula.

Can someone plz help me with this one problem plzzzzz

(I’M MARKING BRAINLIEST)

Answers

1: 23
2: 46
3:69
6: 138
23s+75=c
S c
1(23)+75=98
2(23)+75=121
3(23)+75=144
6(23)+75=213
Hope this helps

it says Andre starts with $100 in his savings account and adds $5 per week Elena starts with $10 in her savings account and adds $20 each week after 4 weeks who has more money in their savings account ​

Answers

Answer:

Andre

Step-by-step explanation:

So for Andre you would do 5*4=20 and 100 + 20 = 120.

And Elena you would do 20*4=80 then 80 + 10 = 90.

Hope this helps!!

How to solve this geometry?
Step by step solution please.

Answers

This is a relatively complex problem and it took me a good 20 minutes to solve, I included a sketch I made myself while im solving this problem hope it helps with the explanation. (the dotted lines are my drawings, also I labeled the points just look at my graph)

Now to find <x, we can use the exterior angles theorem a couple of times.

<x=<p+<AGE

<x=30 degrees + <AGE

Now use the theorem again to find <AGE

<AGE=<q+<BIG

Now use substitution for <q and for <AGE

<x=30 degrees+60 degrees+ <BIG

We put this to the side for now and try solve for <CHD which is not very difficult

<CHD=180-45-20=115

We can also clearly figure out <HFI using vertical angles theorem.

<HFI=<Y

Because they all form a triangle we can conclude that <y+<BIG=180 degrees-<FHI= 180-115=65 degrees

substitution again

<x+<y=30+60+<BIG+<HFI (remember <HFI = <y vertical angles theorem)

<x+<y=30+60+65 (remember how we did before these 2 angles adds up to 65?)

<x+<y=155 degrees

Now please don't hate me on this, I'm sure there is more efficient ways to explain this problem, this is just my way from trial and error.

Tip for next time you are stuck on a geometry problem, don't be afraid to draw the graph again on paper and add lines to it!

You won't get everything perfect the first time you try but the more you practice the more comfortable you are with these problems, Hope my explanation helped!

**Just a note would you mind telling me where you got this problem form, its pretty challenging :)

The table below shows Oliver's earnings on the job.

Answers

Answer:

g]

Step-by-step explanation:

Solve the inequality. Then graph the solutions on a number line.
- 20 > - 4(2x - 3)
Select the correct choice below and fill in the answer box to complete your choice.
OA. X
OB. XS
OC. X>
OD. X2
HELP

Answers

Answer:

x < 4

Step-by-step explanation:

Given the inequality :

- 20 > - 4(2x - 3)

Open the bracket

-20 > - 8x + 12

Collect like terms

-20 - 12 > - 8x

-32 > - 8x

Divide both sides by - 8

4 > x

x < 4

write 95.491 as a mixed number

Answers

Answer:

95 491/1000

Step-by-step explanation:

95.491 written as mixed number would look like: 95 491/1000

19.1
Find the circumference
of a circle with a
diameter of 3 cm.

Answers

Answer:

9.42478 cm

Step-by-step explanation:

Circumference = 2*3.14*radius

Radius = Diameter divided by 2 or 3/2 = 1.5cm

OF
Place each equation next to the statement it matches.
A car is rented for $40 per day plus $0.25 per mile
driven. The total is $45.50
Karen buys four t-shirts for $45.50. The three red t-
shirts each cost 4 times the price of one blue t-shirt.
Finn buys a toy boat for $45.50 including tax He was
charged 7% sales tax on the original price
Nick buys a sweater and a jacket for $45.50. The
jacket costs 4 times as much as the sweater
:: X+0.07% = 45.50
1 X + 4x = 45.50
:: x + 3(4x) = 45.50
:: 40 + 0.25x + 45.50

Answers

Answer:

Step-by-step explanation:

A car is rented for $40 per day plus $0.25 per mile driven. The total is $45.50-  40 + 0.25x + 45.50

Karen buys four t-shirts for $45.50. The three red t-shirts each cost 4 times the price of one blue t-shirt.- x + 3(4x) = 45.50

Finn buys a toy boat for $45.50 including tax He was charged 7% sales tax on the original price.- X+0.07% = 45.50

Nick buys a sweater and a jacket for $45.50. The jacket costs 4 times as much as the sweater- 1 X + 4x = 45.50

what would the right awnser be ?​

Answers

Answer:

x = 3√2 , y = 6

Step-by-step explanation:

In given triangle,

3√2 = x

and y is hypotenuse.

Using Pythagoras theorem

hypotenuse = √Perpendicular² + Base²

hypotenuse = √(3√2)² + (3√2)²

hypotenuse = √18 + 18

hypotenuse = √36

hypotenuse = 6

So,

x = 3√2 , y = 6

Answer:

I think the second one maybe

Step-by-step explanation:

The rectangle shown has a perimeter of 156 cm and the given area. Its length is 6 more than five times its width.
Write and solve a system of equations to find the dimensions of the rectangle.

Answers

P=156 cm
l=6+5w
P=2(l+w)
156=2(6+5w+w)
156=2(6+6w)
156=12+12w
12+12w=156
12w=156-12
12w=144
w=12cm

l=6+5•12
l=6+60
l=66cm

HELP HELP HELP PLEASE ASAP

Answers

Answer:

negative numbers

Step-by-step explanation:

yes...........

Answer:

Negative numbers

Step-by-step explanation:

Hope this helps!

Can someone help me with this pls I NEED HELP PLS

Answers

Answer:

B(4,8) C(5,1) D(9,6) E(2,10) F(0,5) G(7,2)

Step-by-step explanation: If it is going left subtract from the first number. If it is going down subtracting from the right number. If it is going right it is adding to the first number if going up adding to the second number

In an ice cream shop there is some money in a drawer. After 6 ice creams were sold, there were 70 euros left in the drawer. After a total of 16 ice creams were sold, there were 120 euros left in the drawer. How many euros were there in the drawer at the start?

Answers

Answer: There were 40 euros in the drawer at the beginning.

Step-by-step explanation:

When we subtract 6 from 16, we get 10 more ice-creams were sold.

Similarly, we subtract 70 from 120, we get 50 euros was the total selling price of 10 ice-creams.

i.e. Selling price of 1 ice-cream = (50)÷10 =5 euros

Selling price of 6 ice-creams = 6 x 5 = 30 euros

Money in the drawer at the beginning = 70-30 = 40 euros

Hence, there were 40 euros in the drawer at the beginning.

Pls Helpp!!! "Olivier has $48.25 to spend on painting classes. Each class costs $6 plus a one-time registration fee of $6.25. Let the variable n represent the number of classes. How many classes can Olivier purchase? Write an equation and show your work."

Answers

Answer:

48.25 - 6.25 -6n, 7 classes

Step-by-step explanation:

mark brainlest

Answer:

The equation: 6n+6.25 = 48.25

Step-by-step explanation:

i searched up the answer here u go

Carpet for one office costs $210. If the carpet sells for $8.75 per
square yard, how many square yards of carpet are needed for
one office?

Answers

Answer:

a.

Let x be the number of square yards of carpeting for which the total cost charged by the two companies will be the same.

We have an expression for the total cost of Country Carpets:

($22/ 1 yd^2)* (x yd^2) + $100

= $22*x+ $100

or 22x+ 100

We also have another expression for the total cost of City Carpets:

($25/ 1 yd^2)* (x yd^2)+ $70

= $25*x+ $70

or 25x+ 70

Now set the two expressions to be equal:

22x+ 100= 25x+ 70

⇒ 100- 70= 25x -22x

⇒ 30= 3x

⇒ 30/3= x

⇒ 10= x

The final answer for a is 10 square yards of carpeting~

b.

Let's assume that Mr. Shu wants to install carpeting for 1 square yard.

Country Carpets: $22*1+ $100= $122

City Carpets: $25*1+ $70= $95

Therefore, Mr. Shu will be likely to choose City Carpets if he wants to install carpeting for 1 square yard.

Now let's try x=11 (square yard):

Country Carpets= $22*11+ $100= $342

City Carpets= $25*11+ $70= $345

Therefore, Mr. Shu will be likely to choose Country Carpets if he wants to install carpeting for 11 square yard.

If you paid really close attention, you would notice that the price of City Carpets will be cheaper than the other when x is >0 and <10. At x=10, the price is equal. When x is >10, the price of Country Carpets will be cheaper than the other one.

So it depends:

If x were >0 and <10, Mr. Shu would be likely to choose City Carpets.

If x were 10, Mr. Shu could choose either Country Carpets or City Carpets.

If x were > 10, Mr. Shu would be likely to choose Country Carpets.

Hope this helps~

Step-by-step explanation:

Simplify the following equation. Explain each step and write the property used. 3x+2x-3+10=27

Answers

Answer:

x=4

Step-by-step explanation:

1. Add like terms: 5x+7=27

2. Use the subtraction property on both sides to get rid of 7: 5x=20

3. Divide 5 on both sides to get x by itself: x=4

can someone help me out ? i'm new to it

Answers

Answer:

the bill depends on the how many people

SIMPLE 7TH GRADE MATH, GIVING BRAINLIEST.

Answers

Answer:

97

Step-by-step explanation:

Answer:

D. 97

Step-by-step explanation:

Please give me brainliest or a thank you! I’ll explain my answer if I need it :)

ARVB has been reflected as shown in the diagram. What is the length of 7B
?
AN
R
A. 6
B. 15
C. 5
D. 4

Answers

The calculated length of V'B' in the reflection of triangles is (c) 5

How to determine the length of V'B'

From the question, we have the following parameters that can be used in our computation:

The triangle and the image

Also, we know that the triangles are reflected

The reflection transformation is a rigid transformation

This means that

V'B' = VB

From the figures, we have

VB = 5

So, we have

V'B' = 5

Hence, the length of V'B' is (c) 5

Read more about transformation at

https://brainly.com/question/4289712

#SPJ1

Question

RVB has been reflected as shown in the diagram. What is the length of V'B'

Write an
explicit formula for an, the nth term of the sequence 1, 3, 9, ....

Answers

Answer:

an=a+(n-1)d

Step-by-step explanation:

1 3 9 ....

is the answer

Which is an advantage of purchasing and owning a home?

Answers

Answer:

You don't have to pay rent every month

Step-by-step explanation:

The advantage of purchasing and owning a home are:

- Building equity,

- Stability

- Investment

- Pride of ownership

- Tax benefits

What is home?

A home is a place where a person or a family lives, typically a house or an apartment.

It is a place of residence and refuge, where individuals or families can feel secure and comfortable.

We have,

There are several advantages of purchasing and owning a home, including:

Building equity: When you make mortgage payments, you are building equity in your home. This means that over time, you own more and more of your home and may be able to use the equity to your advantage.

Stability: Owning a home provides a stable living situation since you are not subject to rent increases or the possibility of eviction.

Investment: A home can be a good long-term investment as it generally appreciates in value over time. This means that if you sell your home in the future, you may be able to sell it for more than you paid for it.

Pride of ownership: Owning a home can give you a sense of pride and accomplishment, and you have the freedom to make changes and improvements to the property as you see fit.

Tax benefits: Homeowners may be able to deduct mortgage interest and property taxes on their income tax returns, which can result in significant savings.

Thus,

Several advantages of purchasing and owning a home are given above.

Learn more about home here:

https://brainly.com/question/30490667

#SPJ2

Find y using the ratios of the sides 15 cm and 20 cm.

Answers

Answer:A right triangle having sides 15 cm and 20 cm is made to revolve about its hypotenuse. Find the Volume and Surface Area of the double cone so formed. (Use π=3.14).

Step-by-step explanation:

Mar 25, 11:18:50 PM
Write the equation of the exponential function given a decay factor of 0.54.

Answers

Answer: [tex]2*0.54^x[/tex]

Step-by-step explanation:

Two hikers started at the same location. One
traveled 2 miles east and then 1 mile north. The
other traveled 1 mile west and then 3 miles south.
At the end of their hikes, how many miles apart are
the two hikers? [The use of the accompanying grid
is optional.]

Answers

:

[tex]hola \\ \[/tex]

hola

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