in order to save money for prom this weekend, Tom is going to walk his neighbor's dog for $6 per hour and wash cars for $7.50 per hour. His mother told him he can work no more than 15 hours in order to keep up with his homework. If Tom would like to make at least $75 to cover prom expenses, help him determine combinations of hours he can work between these two jobs.

a. Write and graph a system of inequalities.



b. Write two possible solutions:
I.
ii.​

Answers

Answer 1

Answer:

6x + 7.50y ≥ 75

Step-by-step explanation:

Let x = # of hours he walks the dog

     y = # of hours he washes cars

We also know that he cannot have any negative hours, so 2 lines that we need to graph will be y = 0, with everything above this line shaded in, and x = 0, with everything to the right of this line shaded in and these lines will be solid because you can have 0 hours.

Another equation will be x + y ≤ 15. We graph the line, which will be solid, y = -x + 15, and shade everything to the left of this line.

The last equation will be 6x + 7.50y ≥ 75. We graph this solid line, y ≥ (-6x + 75)/7.50 & shade everything to the right of this line. Any point inside the area shaded in by all 4 equations will be an answer. I'll leave this up to you.

Hope this helps!

In Order To Save Money For Prom This Weekend, Tom Is Going To Walk His Neighbor's Dog For $6 Per Hour

Related Questions

Why is the equation
46 1,032
X +
55
not the equation of a line of best fit for the data set below?
55
Height (in.)
42
Arm span (in.)
41
43
55
45
52
48
49
49
49
52
53
59
60
45
44
44
45
60
57
A. The slope of the line is negative, but the data set has a positive correlation.
B The slope of the line is positive, but the data set has a negative correlation,
1.032

Answers

Answer:

not the equation of a line of best fit for the data set below? 55. Height (in.) 42. Arm span (in.) 41 43 55 45 52 48 49 49 49 52 53 59 60 45 44 44

Step-by-step explanation:

Answer:

c it is not d !!!!!!!!!!!!!

Step-by-step explanation:

can you give me brainliest

5(3m+2)
please help me​

Answers

You would distribute the 5 to the 3m+2 so it would be 15m-10

Answer:

(5x3m) + (5x2) = 15m + 10

Step-by-step explanation:

multiply 5 to 3m plus 5 to 2 which is equivalent to 15m + 10

Yes or no
Just pick one

Answers

Answer:

Yes

Step-by-step explanation:

What is the value of n

Answers

. n=8cm.

Step-by-step explanation:

Answer:

where is the equation

Step-by-step explanation:

What is equivalent to the equation y=3x+z/4?

Answers

parametric form.....


y=3x+ 1/4z

PLS HELP ME YOU DON'T HAVE YO SHOW UR WORK

Answers

Answer:

b.

-2/3

Step-by-step explanation:

2/3 + (-2/3)

2+-2/3

0

hope this helps :)

6-4x is Less than or equal to 26

Answers

Less_____________________

Amir has $200 budget to spend on a graduation party for his son he already has purchased $122 worth of drinks and party supplies he wishes to buy chicken pizza or subs for the main course prices including tax are shown below

Answers

Answer: C, D, and E

Step-by-step explanation:

200-122=78 remaining

A: 7*11.75= 82.25

B: 10*11.75= 117.50

C: 9*6.80=61.20

D: 11*6.80=74.80

E: 70*1.10=77.00

F: 71*1.10=78.10

Only C, D and E are below the dollars remaining in the budget.

What is the end behavior for the graph of the function
f(x)=9/10 log [-(x + 9)] + 10?

Answers

Answer:If you draw a graph or look it up on Desmos, it curves down around y = 10. It only hits the second and third quadrant. B is the only situation that describes this.

Step-by-step explanation:g

Find the circumference and area of the circle. Use 3.14 for π. Round to the nearest hundredth if necessary. r = 2m

Answers

The answer is 12.57

But rounded to the nearest tenth is 12.6

On average, there are 12 potholes per mile on a particular stretch of the state highway. Suppose the potholes follow a Poisson distribution on the highway. a. Find the probability of finding fewer than two potholes in a quarter-mile stretch of the highway. (Do not round intermediate calculations. Round your final answer to 4 decimal places.) b. Find the probability of finding more than one pothole in a quarter-mile stretch of the highway. (Do not round intermediate calculations. Round your final answer to 4 decimal places.)

Answers

Answer:

a) 0.1992 = 19.92% probability of finding fewer than two potholes in a quarter-mile stretch of the highway.

b) 0.8008 = 80.08% probability of finding more than one pothole in a quarter-mile stretch of the highway.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

a. Find the probability of finding fewer than two potholes in a quarter-mile stretch of the highway.

Mean of 12 potholes per mile, which means that in a quarter-mile stretch, the mean is [tex]\mu = \frac{12}{4} = 3[/tex]

This probability is:

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

In which

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-3}*(3)^{0}}{(0)!} = 0.0498[/tex]

[tex]P(X = 1) = \frac{e^{-3}*(3)^{1}}{(1)!} = 0.1494[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0498 + 0.1494 = 0.1992[/tex]

0.1992 = 19.92% probability of finding fewer than two potholes in a quarter-mile stretch of the highway.

b. Find the probability of finding more than one pothole in a quarter-mile stretch of the highway.

This is

[tex]P(X > 1) = 1 - P(X < 2)[/tex]

We have that [tex]P(X < 2) = 0.1992[/tex]

So

[tex]P(X > 1) = 1 - P(X < 2) = 1 - 0.1992 = 0.8008[/tex]

0.8008 = 80.08% probability of finding more than one pothole in a quarter-mile stretch of the highway.

Graph the line with the equation y - 1/4x +5.​

Answers

Answer:

Y-intercept=5 Slope=-1/4

Step-by-step explanation:

Plot a point on (0,5)

From that point, you can either go down 1 point and right 4 points, or you can go up 1 point and go left 4 points.

Whichever one you choose, plot a point after each 2 movements

if this is too confusing, another point would be (4, 4) then make a line through both points.

If x = 13, how could the angles be classified? Are the angles complementary or supplementary?

Answers

Answer:

To be complement sum of angle must be 90°

But to be supplement sum of angle must be 180°

Step-by-step explanation:

7ft
5ft
8ft
7ft
Find the area of each figure

Answers

wheres the figure..??

I need this quickly Please. Create a second equation so the system has no solutions. y=3/4x-4

Answers

Answer:

y = 3/4x + b (b≠ -4)

Step-by-step explanation:

The system of linear equations has no solution when the lines are parallel.The lines are parallel when they have same slopes and different y-intercepts.

Given line has slope 3/4 and y-intercept -4

The other line should be:

y = 3/4x + b, where b is any number different from -4

The sum of all even numbers from 0 to 420 is

Answers

Answer:

the sum of all even number from 0 to 420 is 175980

Note: When solving for k, round to four decimal places. A culture started with 5,000 bacteria. After 3 hours, it grew to 6,500 bacteria. Predict how many bacteria will be present after 13 hours. Round your answer to the nearest whole number. P = Aekt Enter the correct answer. DONE + ?

Answers

Answer:

5000 * (e^((1 /4) * ln(55 / 50) * (13))) = 6,815.47 from My text book

Step-by-step explanation:

can someone give me tips for flying on an airplane? ✈️ ​

Answers

Answer:

chew gum for your ears

bring a pillow for you neck

download a movie

bring something to do with your hands

bring a jacket

use the restoroom before the flight

bring your own snacks

get a seat near the wings of the planes its the safest

make sure you put your name on your luggage

bring headphones

bring lots of fluids after getting through security

bring a breathable mask

Step-by-step explanation:

Help now ____________[_

Answers

10 x 5 = 50
4 x 7 = 28
3 x 4 = 12 12/2=6

50+28+6= 84 square inches

Divide $400 in the ratio 3 :5

Answers

Solution:

Given ratio - 3:5

1 part = 3

2 part = 5

Total no. of parts = 3 + 5 = 8 parts

400 / 8 = 50

3 * 50 = 150

5 * 50 = 250

I think that's it :D

A circular park has a circumference of 94 ft. find d, the diameter of the garden in feet

Answers

Answer:

94 / π = 29.9211293...

Step-by-step explanation:

brainliest plz

How many 1/6 pound servings are in 10 pounds of chicken ? Pls help

Answers

Answer:

60

Step-by-step explanation:

1/6 * 60 = 60/6

60/6 = 10/1 = 10

The number of 1/6 pound servings in 10 pounds of chicken is; 60

Division of fraction

We are required to determine how many 1/6 pound servings are in 10 pounds of chicken.

Hence ; we have;

10 ÷ 1/6

10 × 6/1

= 60.

Read more on divisions;

https://brainly.com/question/1622425

Determine the equation of circle A.
(x - 1)2 + (y + 2)2 = 9
(x + 1)2 + (y-2)2 = 9
(x-1)2 + (y + 2)2 = 3
(x + 1)2 + (y-2) = 3

Answers

I'm not sure but if you have photomath or Microsoft mathematics use it to solve your problem

welp me someone this iready is for a grade.

Answers

Answer: 1920 cubic centimeter

Step-by-step explanation:

L*W*H for both and add

8*10*10=800

8*10*14=1120

800+1120=1920 cubic centimeters


Help asap i will give brainliest

Answers

Answer:

It will be C.

Step-by-step explanation:

Think of the fraction as a division statement. First we have x, at the top, then Y at the bottom.

Answer:

C

Step-by-step explanation:

x/y is the same as x ÷ y because the slash sign (/) is the same as the divided sign (÷)

Hope this helps =]

PLEASE SOMEONE ANSWER A REAL ANSWER WILL GIVE BRAINLIST

Answers

Answer:

a I think please be right

Last year, Ahmad opened an investment account with $5400. At the end of the year, the amount in the account had increased by 7.5%. How much is this
increase in dollars? How much money was in his account at the end of last year?

Answers

Answer:

Step-by-step explanation:

The increase was

5400(0.075)=$405

The money in the account was

5400+405=$5805

PLEASE HELP
ASAPPPPPP
Which of the following segments is a diameter of O?A. OD
B. DB
C. АС
D. AB

Answers

Answer:

AB is the diameter,,,,,,,,,

Y’all help meeeee :(

Answers

It is 60 since it is clearly not 30 and not 90 either. 120 and 150 are irrelevant.

A science teacher shares 32 beakers equally between 5 students. The number of beakers that each student gets lies between what two whole numbers?

8 and 9
4 and 5
6 and 7
3 and 4

Answers

Answer:

6 and 7

Step-by-step explanation:

5*6=30 and there is no other 5 on the board  and i just took that test and i got it right

please mark brainiest

Answer:

C or 6 and 7

good luck!

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