Mason is working two summer jobs, making $20 per hour lifeguarding and making $10 per hour landscaping. In a given week, he can work no more than 13 total hours and must earn at least $170. If xx represents the number of hours lifeguarding and yy represents the number of hours landscaping, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer 1

Answer:

[tex]x = 4\\y = 9[/tex] hours

Step-by-step explanation:

Given -

x represents the number of hours lifeguarding and y represents the number of hours landscaping

[tex]x+ y = 13[/tex] -----Eq ( 1 )

and

[tex]20 * x + 10 * y = 170[/tex] -----Eq ( 2 )

Substituting the value of [tex]x = 13-y[/tex] in equation 2, we get -

[tex]20* (13 - y) + 10 y = 170[/tex]

[tex]260 - 20 y + 10 y = 170\\10y = 90\\y = 9[/tex]

[tex]x = 13-9 = 4[/tex]


Related Questions

Which expression is equivalent to (3-4)+5

Answers

Answer:

4

Step-by-step explanation:

(3-4)+5

-1+5

4


Dan buys a car for £3200.
It depreciates at a rate of 5.1% per year.
How much will it be worth in 4 years?
Give your answer to the nearest penny where appropriate.

Answers

Answer:

£2509

Step-by-step explanation:

3200x0.941*4 =2509

Waitrose-
Budging-
Please answer ASAP

Answers

Answer: Budging because if you 3.25 + 2 = 5.25 and that

more than the Budging so therefore it's Budging.

and on Budging you get a discount.

Step-by-step explanation:

1

8 million tonnes of fish were caught in the North sea in 2005, if the catch is reduced by 20% each year for four years, what amount can be caught at the end of this time​

Answers

Answer:

At the end of that period, 3,276,800 tonnes of fish could be caught in the North Sea.

Step-by-step explanation:

Given that 8 million tonnes of fish were caught in the North sea in 2005, if the catch is reduced by 20% each year for four years, to determine what amount can be caught at the end of this time the following calculation must be performed :

100 - 20 = 80

Year 0 = 8 million

Year 1 = 8 x 0.8 = 6.4 million

Year 2 = 6.4 x 0.8 = 5.12 million

Year 3 = 5.12 x 0.8 = 4,096 million

Year 4 = 4.096 x 0.8 = 3.2768 million

Thus, at the end of that period, 3,276,800 tonnes of fish could be caught in the North Sea.

PLEASE HELP THIS ASSIGNMENT IS OVER DUE

Answers

29+8x is the answer

Answer:

15 +5x +24 +8x

39 + 13x is answer

A school bus carries 20 students. There are
currently 215 students in the 7th grade. How many
school buses are needed to take the 7th grade on a
field trip?

Answers

Answer:

11 buses

Step-by-step explanation:

215 divided by 20 is 10.75 and rounding up makes more sense for this problem, so 11 buses would be needed to carry the entire 7th grade.

The diagram shows the repairs preformed on two types of cars. Compare the car types using the median or mean.

Answers

Answer:

there is no diagram

Step-by-step explanation:

you will need to edit this question so that way we can see the diagram

Answer:

The median is the same for both car types, but Bandits have the lower mean.

Step-by-step explanation:

I took the Iready quiz and got the question right. Hope this helps!

State if the pair of triangles are similar. If so, state how you know they are similar and
complete the similarity statement

Answers

They can’t be similar. Similar triangles have congruent corresponding angles, and two angles are given on each. Neither of those correspond to another on the opposite triangle. Basically, there’s no way to have three congruent angles, so they aren’t similar.

What is the formula for area of Parallelogram

Answers

Answer:

See below

Step-by-step explanation:

Area of parallelogram = base * height

Answer:

A= b×h

Step-by-step explanation:

b= base

h= height

hope it helped

Find the derivative of f(x)=4x+7 at x = 5.

Answers

Answer:

27

Step-by-step explanation:

f(x) is the same as y

if x=5 then you will multiply 5 by 4 which will give you 20

20 + 7 = 27

4 it will always be 4

If f ( x ) = 1 3 x − 5 , what is f ( − 6 ) ?

Answers

Answer:

-4

Step-by-step explanation:

by finding the exact value.

Which statement about the reflection below is true?

Answers

Answer:

Can you show us the statements?

Step-by-step explanation:

what are the statements

Nielson Media Research wants to estimate the mean amount of time (in minutes) that full-time college students spend watching television each weekday. Find the sample size necessary to estimate that mean with a 15-minute sampling error. Assume 96% confidence level is desired. Also assume that a pilot study showed that the standard deviation is estimated to be 112.2 minutes.

Answers

Answer:

The sample size necessary is 237.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.96}{2} = 0.02[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.02 = 0.98[/tex], so Z = 2.056.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Find the sample size necessary to estimate that mean with a 15-minute sampling error.

A sample size of n is necessary.

n is found when [tex]M = 15[/tex]

We have that [tex]\sigma = 112.2[/tex]

So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]15 = 2.056\frac{112.2}{\sqrt{n}}[/tex]

[tex]15\sqrt{n} = 2.056*112.2[/tex]

[tex]\sqrt{n} = \frac{2.056*112.2}{15}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.056*112.2}{15})^2[/tex]

[tex]n = 236.5[/tex]

Rounding up,

The sample size necessary is 237.

Madeline has a headache and takes 500
milligrams of a pain reliever. The brand
of pain reliever she takes has a half-life
of 2.5 hours. Which function could be
used to describe the amount of pain
reliever remaining in Madeline's system
at any given time?
lol

Answers

Answer:

f(x) = 500(1/2)^x

Did this end up in the wrong category lol

find the sum of the measures of the angles of the figures

Answers

Answer:

Step-by-step explanation:

If the ratio of the interior angle to the exterior angle for a regular polygon is 5:1, find:a. the size of each exterior angle, b. the number of sides of the polygon, c. the sum of the interior angles

hope that help

mark me brill ?

Is the association between x and y positive or negative?
A. none B.positive C, negative

Answers

Answer:

A.non at all so, please choose the right answer

Answer:

A.non at all so, please choose the right answer

The area of a poster board is (x2 + 9x - 10) square inches. Find the dimensions of the poster board If
x = 15.

Answers

Answer:

155 square inches

Step-by-step explanation:

(15)2+9(15)-10 or 30+135-10

HOW TO CONSENTRATE ON STUDY?​

Answers

Answer:

Listen to music or watch a video about what your about to study. Or do what I do... eat while studying

Step-by-step explanation:

Answer and explain please ILL MARK BRAINLIEST

Answers

Answer:

the first one is steeper because it took off before the other plane and it is still below the other plane, which means that the hills deeper and it's going to take it longer to take off and get in the air.

Step-by-step explanation: I hope this is what you were looking for let me know if not and I will delete my answer ;)

yesssssssssss nooooooo

Really need help thank you!

Answers

Answer:

x=28

Step-by-step explanation:

when the angles are supplementary add them together and set them to 180 after doing so you'll have

4x+2x+12=180

now you combine like terms and then solve for x

the difference of 17 and 5 times a number

Answers

Answer:

I need more context

Step-by-step explanation:

In figure 5, what are the values of x and y?
(4x - 12)
(7y+12)°
(12x+8)°​

Answers

Answer:

sorry

Step-by-step explanation:

Where is the figure?

Sam drove for 2 hours at 45 mph. He has the same distance remaining. How fast should he drive to make his average speed 60 mph?

Answers

Answer:

Step-by-step explanation:

2 hours at the speed of 45 mph = 90 miles in 2 hours

He should drive 60 miles per hour to make his speed 60 mph.

Fran can type 297 words in 5.5 minutes. What is her typing speed in words per minute?

Answers

Answer:

54 word per minute

Step-by-step explanation:

297 words divided by 5.5 mins = 54 words/min

Hope this helps!! :)

Help please I give brainliest

Answers

Answer:

I think its no association because the snow cone doesn't really tell you anything you can have a snow cone at any time of day

Step-by-step explanation:

Answer:

No association

Step-by-step explanation:

The average tempature decreases while the sales of snow-cones increase

[tex]12.5=n-1.5[/tex]

Answers

Answer:

n=14

Step-by-step explanation:

12.5=n-1.5

-n=-1.5-12.5

-n=-14

n=14

State if each triangle is acute, obtuse,or right using Pythagorean theorem converse.

Answers

Answer:

Right triangle

Step-by-step explanation:

Properties for acute, obtuse or right triangle,

1). Given triangle will be a right triangle if,

   Hypotenuse² = (Leg 1)² + (Leg 2)²

2). Triangle will be an acute triangle if,

   (Largest side)² < (leg 1)² + (leg 2)²

3). Triangle will be an obtuse triangle if,

   (Largest side)² > (leg 1)² + (leg 2)²

Now we apply these properties in the given triangle,

(Largest side)² = (√11105)²

                        = 11105

(leg 1)² = (76)²

           = 5776

(leg 2)² = (73)²        

            = 5329

Since 11105 = 5776 + 5329 (First Property)  

11105 = 11105

Therefore, given triangle is a right triangle.

"bananas cost 89 cents each at the fruit stand.. Isabel has $11.75. how many bananas can she buy?" i forgot how to do this stuff pls help​

Answers

Answer:

She can buy 13 bananas

Step-by-step explanation:

She has 11.75 and each banana costs .89

Start by dividing 11.75/.89 = 13.20

She will be able to buy 13 bananas total since she cannot buy a portion of a banana (0.2) so she will just have some leftover change.

She’s right it’s 13.20

Help please I don’t understand

Answers

88cm^2. area is the coverage of the area inside of a given shape, since some of the frame is cut off for a picture (making it not a full rectangle) you must find the area of the whole frame and find the area of the cutout. after finding those, subtract the cutout from the frame and then you have the area of the frame

Gary spent 55 hours in two weeks working on the same to project she worked 32 hours the first week right and solve an addition equation to find amount of time she's been working on the second week

Answers

Answer:

If Zaira spent 32 hours in the first week. We subtract 32 from 55. 55-32=23. That means she worked 23 hours in the second week.

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