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.
Which pair (x, y) represents hours that Leah could work to meet the given conditions? Select all that apply.

A.
(2.5, 15)

B.
(5, 20)

C.
(7.5, 12.5)

D.
(17.5, 5)

E.
(19, 1)

Answers

Answer 1

Answer:

A C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Leah wants to earn at least 120 dollars a month and she has two job options. This is written as

5x + 8y > 120

She also can't work more than 20 hours, leading us to the second equation

x + y = 20

First we solve for one variable

y = 20 - x

then substitute it into the first equation

5x + 8(20 - x) = 120

Solve for x

5x + 160 - 8x = 120

3x = 40

     x = 40/3

Then we solve for y

y = 20 - x

     y = 20/3

x < 40/3

y > 20/3

B and D will not work because their x+y is greater than 20.

E will also not work because the value is less than 120


Related Questions

Identify the best method for solving the given
system of equations. DO NOT SOLVE. Justify your
choice using academic vocabulary.

3x + 2y = 0
x - 5y = 17

Answers

elimination because u could multiply the second equation by -3 which would cancel the x and allow you to solve for y and then everntually x but yea elimination is the best method

CAN SOMEONE PLEAEE HELP ????!!!!!! I will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

I don't know if I'm correct but the answer is 6.

Step-by-step explanation:

I'm not 100% correct, but you set the other two angles to add to each other then set it equal to angle QRS and i got x=6.

Your equation should be like this: 3x + 17 + 2x +21 = 10x -1

than you solve form there

I;m not sure that this is the correct answer and maybe i'm wrong, but hope this helps

Answer:

59°

Step-by-step explanation:

According to the given description, [tex] \angle QRS[/tex] is the exterior angle of [tex] \triangle PQR[/tex]

So, by exterior angle property of a triangle, we have:

[tex] m\angle QRS=m\angle RPQ+m\angle PQR\\\\

(10x - 1)\degree = (3x +17)\degree+(2x +12)\degree\\\\

(10x - 1)\degree = (3x +17+2x +12)\degree\\\\

(10x - 1)\degree = (5x +29)\degree\\\\

(10x - 1)= (5x +29)\\\\

10x - 5x = 29 + 1\\\\

5x = 30\\\\

x = \frac{30}{5}\\\\

x = 6\\\\

\because m\angle QRS = (10x - 1)\degree \\\\

\therefore m\angle QRS = (10\times 6- 1)\degree \\\\

\therefore m\angle QRS = (60- 1)\degree \\\\

\huge\orange{\boxed{\therefore m\angle QRS = 59\degree }}\\

[/tex]

Stacy is sending packages of candy to troops that are stationed overseas. Each package weighs the same amount, and each costs $13.87 to ship. She sends 3 packages in all. If Stacy gives the postal worker $45.00, how much change should she receive?

Answers

Answer:

$ 3.39

Step-by-step explanation:

X = 45 - (13.87*3)

x = 45 - 41.61

x = 3.39

-3(x+5) - (2x+3) equals

Answers

-5x,-18

i hope im right im not quite sure bout this one

20 POINTS
PLEASE HELP!

Find the slope of the line that passes through the pair of points.
(4, –4), (6, –4)

Answers

Answer:

0

Step-by-step explanation:

You need to use formula for slope m= y2-y1/x2-x1
m= -4-(-4)/6-4= 0/2=0
So slope is 0

Is the ordered pair (2,4) a solution to the system of linear inequalities?

yes or no? ​

Answers

Answer:

yes

Step-by-step explanation:

Which pair of triangles below can be shown to be similar using AA similarity?

350
700
890
67°
7670
249
1640
490
750
820
630
54°

Answers

The second option shows AA symmetry.
The angles of a triangle have to add up to 180. When adding the given angles, you will find that the missing angle is equal to what is given in the other triangle.
An example is how in the second option’s triangle, the two given number add up to 91. 89 is needed to make it equal 180 and 89 is in the same position is the first triangle.

Triangle second and third can be shown to be similar using AA similarity when we take two angles between them.

What is similarity?

In Euclidean geometry, two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.

How to check similarity of triangle?

In second and third triangle two angles whose measures are 24 degrees and 67 degrees are in both triangles, which is the condition of AA similarity.

To check AA similarity we have to check whether two angles are equal in two triangles to be similar.

Learn more about similarity at https://brainly.com/question/24184322

#SPJ2

what is the difference of 2/4 and 1/3?​

Answers

Answer:

2/4-1/3= 6/12-4/12

=2/12

=1/6

1/6 should be your answer because you get 2/12 but you have to simplify

may someone plz answer this​

Answers

Answer:

At least 2 weeks

Step-by-step explanation: You divide until you reach 200

Use the formula to solve the problem. Round to the nearest hundredth.
Volume of a sphere: V = 4/31tr3
Surface area of a sphere: A = 4rtr2
Find the volume of a sphere with a radius of 1 inch.
_____cubic in.

Answers

Answer:

Volume of sphere = 4.186 cubic inches

Step-by-step explanation:

Radius of sphere = r = 1 inch

Volume of sphere = ?

The formula used is: [tex]Volume\:of\:sphere=\frac{4}{3}\pi r^3[/tex]

Putting value of radius and π and finding volume:

[tex]Volume\:of\:sphere=\frac{4}{3}\pi r^3\\Volume\:of\:sphere=\frac{4}{3}\times 3.14\times (1)^3\\Volume\:of\:sphere=\frac{4}{3}\times 3.14\times (1)^3\\Volume\:of\:sphere=4.186 \:cubic\:in[/tex]

So, Volume of sphere = 4.186 cubic inches

When loaded with bricks, a lorry has a mass of 11600kg. If the mass of the bricks is three times that the mass of the empty lorry, find the mass of the bricks.

Answers

Answer:

8700kg

Step-by-step explanation:

lorry + bricks = 11600kg

bricks = 3(mass of empty lorry)

lorry mass is x

there for bricks = 3x

x+3x = 11600

4x =11600

x= 2900kg

mass of bricks = 3(2900)

=8700kg

Dany has a business selling bracelets for 7.50 each. She only has enough material to make 5 bracelets. If x represents the number of bracelets sold and y represents the total cost, what is the range for this situation.

Answers

Answer:

The range is [0,37.5]

Step-by-step explanation:

We start by writing the equation that links x and y

From the question;

y = 7.5x

Now, she has enough material to make 5 only

When we talk of range, we are referring to the values on the y-axis

So the lowest y value is 0

and since the highest number of bracelets is 5;

The total cost of the 5 is 7.5(5) = 37.5

So the range is [0,37.5]

Please Help! I'll give Brainliest!
Eshaal is creating a model of a pyramid. The model created will need to be scaled up from the blueprint.


If segments DE and AB are parallel, which of the following expressions will help Eshaal determine the length of segment BC?

BC = CE
BC equals AC times CE all over CD
BC equals AC times DE all over CE
BC = AC

Answers

Answer:

See attachment

PS:

Can I have Brainliest?

The correct statement is  BC equals to AC times CE all over CD.

We have, If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally. this is known as the triangle proportionality theorem.

Given, DE and AB are parallel

So,   [tex]\frac{BC}{CE} =\frac{AC}{CD}[/tex]

[tex]BC = \frac{AC\times CE}{CD}[/tex]

Therefore in statement form we say that BC equals to AC times CE all over CD.

For more details on proportionality theorem follow the link:

https://brainly.com/question/2078223

can someone solve -192= -6 (6x - 4) step by step?

Answers

Answer:

x= 4 2/3 OR 14/3 OR 4.6... –– 4 2/3 and 4.6... are the simplest form.

Step-by-step explanation:

Your original equation is -192 = -6 (6x - 4):

1. -192 = -6 (6x - 4)

Use distributive property and multiply: -6 x 6x = -36x and -6 x -4 = 24:

2. -192 = -36x + 24

We now move the +24 onto the other side of the equation, -192. Add 24 onto -192 and since we're moving the 24 on the left side of the equation, 24 will removed, so -24 on the right side of the equation:

3. -192 + 24 = -36x + 24 - 24

Divide both sides of the equations by -36 to get "x" by itself:

4. -168 / -36 = -36x / -36

Simplify the fraction of 24/36 by 12:

5. 4 24/36 = 4 2/3 or 14/3 or 4.6... = x

4 2/3, 14/3, 4.6... = x

Suppose that three out of five voters support a candidate. If 1,240 voters support the candidate, how many voters participated in the election in all? Round your answer to the nearest whole number.

Answers

Answer:

2067 voters

Step-by-step explanation:

Suppose that three out of five voters support a candidate.

This means 3/5 votes support a candidate

Let the total number rod candidates be represented as x

If 1,240 voters support the candidate,

how many voters participated in the election in all?

Hence,

3/5 of x = 1240 voters.

3/5 × x = 1240

3x /5 = 1240

Cross Multiply

3x = 1240 × 5

x = 1240 × 5/3

x = 2066.6666667 voters

Approximately to the nearest whole number:

2067 voters


will give brainliest

Answers

Answer:

4/3

Step-by-step explanation:

5. Which image in the collage to the right is an
example of an object not doing work?
O A. climbing a rock wall
B. a water wheel in a dry river
C. kicking a soccer ball
D. carrying a bicycle down the stairs

Answers

Answer:

B. A water wheel in a dry river

Step-by-step explanation:

Work is said to be done when a force moves a body or an object through a certain distance in the direction of the force. Thus for work to be done, force and distance are required.

i.e Work done = Force x distance

It is measured in Joules.

Also, the work done by an object could be a measured of potential energy.

So that,

Work done = potential energy = mass x gravitational force x height

Considering the collage in the question, since the water wheel is in a dry river no work is done. Water wheel is a device that functions through the flow of water body, thus causing its rotation.

Mass = 10 g

Density = Mass/volume

Volume of a cube = (side length)3

Now that you have the side length, determine the volume. Then use the density formula to calculate the density of the material. Record your observations by selecting the data table icon.

You may use a calculator for this section.

Measurement1.7 cm



FIRST ANSWER GETS BRAINLIEST

Answers

Answer:Hello! Here we have a cube, with a mass of 10g and a side length of 2.5cm.

First we want to determine the volume.

The volume of a cube, is equal to his cubic side length, where  L is the side length:

So  

So the volume of the cube is 15.625 cubic centimeters.

Now we want to calculate te density of the material, as you know:

This means that the density is 0.64 grams per cubic centimeter.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

1. Determine the value: V=L^3

so, (1.7)^3= 4.913

2. Calculate the density: mass divided by volume

10 divided by 4.913= 2.0

Answer: 2

Which is not Figurative

Answers

the figure of the figure would be figuring out the figurative

You weigh a gallon of liquid in science class and learn that it is approximately 7.3 pounds. You pass the liquid to the next group, and then realize that your teacher wanted an answer in kilograms, not pounds. Complete the explanation of how you can adjust your answer without weighing the liquid again. Then give the weight in kilograms. If necessary, round your answer to the nearest tenth.

Answers

Answer:

3.3 kg

Step-by-step explanation:

1 pound = 0.453592kilogram

so you just need to 7.3*0.453592= 3.3kilograms

Ramon places a mirror on the ground 45 ft from the base of a geyser. He walks backwards until he can see the top of the geyser in the middle of the mirror. at that point, Ramon eyes are 6 ft above the ground and he is 7.5 ft from the mirror. Use similar triangles to find the geyser

Answers

Answer:

36 ft

Step-by-step explanation:

6/x=7.5/45

270=7.5x

x=36

In this exercise we have to have knowledge of triangles, so we can use the theory of similar triangles to find the value of X, like:

[tex]36 ft[/tex]

To use similar triangle theory, we have to make a rule of 3, that is:

[tex]6/x=7.5/45\\270=7.5x\\x=36[/tex]

See more about triangles at brainly.com/question/10951564

Can you help me with question 4 pls

Answers

Angle 2 = 41° because angle 4 is 41°. Angle 2 and angle 4 are vertical angles which means they are equal. Angle 2 = Angle 4

What number am I thinking of from 1-10?
(will give brainliest to whoever gets it right!)​

Answers

Answer:1-2-3-4-5-6-7-8-9-10

Step-by-step explanation:

Achievement Unlocked:Cheat The System

what is 5x98 (x343)=

Answers

Answer:

168,070

Step-by-step explanation:

Multiplication, 5 x 98 = 490. 490 x 343 = 168,070

What is the area of a circle with 22 diameter

Answers

Answer:

380.13

Step-by-step explanation:

hope this helps :D pls mark brainliest :D

I will mark brainlist and 5 stars. Help please :))

Answers

Answer:

the answer to that question is D

Answer:

its C

Step-by-step explanation:

PLEASE HELP ME!!!! What system of equations is shown on the graph below?
A. x-2y=-4 and 2x+y=4
B. x-2y=4 and 2x+y=-4
C. x-2y=-2 and 2x+y=-4
D. x-2y=2 and 2x+y=4​

Answers

B

Straight line= y=mx+c

Orange line
c=-4
m= 4/-2 =-2

y=-2x-4

Rearranged: 2x+y=-4


Blue line
c=-2
m= 2/4 =1/2

y=1/2x-2

Multiply by 2 to get rid of fraction
-2(y=1/2x-2)
= -2y=-x+4

Rearranged:

x-2y=4

A house cost $185,500 in 2000. By the year 2015, the value was $132,000. What was the growth rate as a percent for that 15-year period?

Answers

Wym their was no growth rate it lost 53,500 in those 15 years at a rate of about 3,566 a year

need help please <33!!!

Answers

Answer:

i tink its 65

Step-by-step explanation:

60+x = 3x-70

2x=130

x=65

jlk = 65 degrees

Im really bad at negative numbers someone please help!
Order [-25] [18] [-1] [26] from greatest to least.
The correct order is.....

Answers

Answer:

26, 18, -1, -25

Step-by-step explanation:

for easier understanding just draw a number line with integers for easier clarification.

... -5, -4, -3, -2, -1, 0, 1, 2 , 3 , 4 ...

26,18,-1,-25 is the answer from greater to least

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