Lla must work at least 5 hours per week in her family's restaurant for $8 per hour. She also does yard work for $12 per hour. Lla's parents allow her to work a maximum of 15 hours per week overall. Lla's goal is to earn at least $120 per week.
1. Write a system of Inequalities to represent this situation. Letr be the number of hours worked at the restaurant, and let y be the number of hours of yard work.
2. Graph the Inequalities.
3. What is the maximum number of hours Lla can work at the restaurant and still meet her earnings goal? Explain.
4. What is the maximum amount of money Lla can earn In 1 week? Explain.​

Answers

Answer 1

Answer:

12a + 8b < 120c

Step-by-step explanation:

to write the inequalities, you have to label the variables. Lets let a be the yard work, b be the work at the family resteraunt, and c be the total hours of work. You would get an equation of:

12a + 8b < 120c

Also I apologize, I do not know how to graph this equation in a type box


Related Questions


Write the decimal equivalent for 6 1/9

Answers

Answer: 6.11

Step-by-step explanation:

Step 1: Multiply the whole number by the denominator:

6 × 9 = 54

Step 2: Add the product you got in Step 1 to the numerator:

54 + 1 = 55

Step 3: Divide the sum from Step 2 by the denominator:

55 ÷ 9 = 6.111111

That's it folks! The answer to 6 1/9 in decimal form is displayed below:

6 1/9 ≈ 6.11

Answer b.

Hope this answer helps you

Answer: b 6 1/9 = 6.11

Step-by-step explanation: what I did first was figure out the decimal version of 1.9 which equaled to 0.11111 etc. then due to it having a zero in front of it, you just place the in that spot making the answer 6.1111111 :)

hope this helped!

A local hamburger shop sold combined total 500 hamburgers and cheeseburgers the number of cheeseburgers old was three times the number of hamburger sold how many hamburgers were sold?

Answers

Answer:

125 hamburgers

Step-by-step explanation:

Let x be the number of hamburgers sold and 3x the number of cheeseburgers sold.

So:

x+3x=500

4x=500

x=125

So there are 125 hamburgers sold.

Bags of pretzels are sampled to ensure proper weight. The overall average for the samples is 9 ounces. Each sample contains 25 bags. The standard deviation is estimated to be 3 ounces. The upper control chart limit (for 99.7% confidence) for the average would be ________ ounces.

Answers

Answer:

The value is [tex]UCL = 10.8[/tex]  

Step-by-step explanation:

From the question we are told that

    The sample mean is  [tex]\= x = 9 \ ounce[/tex]

    The sample size is  n =  25

    The standard deviation is  [tex]\sigma = 3 \ ounce[/tex]

Given that the sample size is not large enough i.e  n<  30  we will make use of the student t distribution table  

From the question we are told the confidence level is  99.7% , hence the level of significance is    

      [tex]\alpha = (100 -99.7 ) \%[/tex]

=>   [tex]\alpha = 0.003[/tex]

Generally the degree of freedom is  [tex]df = n- 1[/tex]

=>  [tex]df = 25 - 1[/tex]

=>  [tex]df = 24[/tex]  

Generally from the student t distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of [tex]df = 24[/tex]   is  

   [tex]t_{\frac{\alpha }{2} , 24 } = 3.0 [/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = t_{\frac{\alpha }{2} , 24} *  \frac{\sigma }{\sqrt{n} }[/tex]

=>     [tex]E = 3.0 *  \frac{3 }{\sqrt{25} }[/tex]

=>     [tex]E =1.8 [/tex]

Gnerally the  upper control chart limit  for 99.7% confidence is mathematically represented as

         [tex]UCL = \= x + E[/tex]

=>      [tex]UCL = 9 + 1.8[/tex]  

=>      [tex]UCL = 10.8[/tex]  

     

You want to buy 4 pencils, each costing 88 cents. How many dollar bills should you take to the store?

Answers

Answer:

4

Step-by-step explanation:

Answer:

$4

Step-by-step explanation:

0.88x4 = 3.52

so take 4

Does this table of values represent a linear relationship? Explain your answer.

Answers

Answer:

Yes

Step-by-step explanation:

Yes, because there is a constant rate of change. It is and will always be constantly increasing by 1.5.

To be a linear line you have to have a constant rate of change.

Write the word or phrase that best completes each statement or answers the question.

Answers

Answer:

She can give it in 1- ways

Find the mean, median, and mode of the data set 8 2 7 2 6 5 ​

Answers

Answer:

Mean is 6, median 5.5, mode 2

Step-by-step

Answer:

mean=8+2+7+2+6+5

=30

30÷6=5

note: divide the total with it's sum.

median=7+2

=9

9÷2= 4.5

note: median is the middle no. since there is no middle no. so just add those two no. and divide it by 2.

mode= 2

since it occurs twice

Calculate had a net income of 5 million dollars in 2010, while a small competing company, Computate, had a
net income of 2 millions dollars. The management of Calculate develops a business plan for future growth
that projects an increase in net income of 0.5 million per year, while the management of Computate
develops a plan aimed at increasing its net income kshy15% each year.
a. Create standard mathematical model (table, graph, or equations) for the projected net income for the
next 10 years for both companies. Make sure that each model is accurate and labeled properly so that it
represents the situation
b. If both companies were able to meet their net income growth goals, which company would you choose
to invest in? Why?
c. When, if ever, would your projections suggest that the two companies have the same net income? How
did you find this? Will they ever have the same net income again?

Answers

9514 1404 393

Answer:

  a) see the attached spreadsheet (table)

  b) Calculate, for a 10-year horizon; Computate for a longer horizon.

  c) Year 13; no

Step-by-step explanation:

a) The attached table shows net income projections for the two companies. Calculate's increases by 0.5 million each year; Computate's increases by 15% each year. The result is rounded to the nearest dollar.

__

b) After year 4, Computate's net income is increasing by more than 0.5 million per year, so its growth is faster and getting faster yet. However, in the first 10 years, Calculate's net income remains higher than that of Computate. If we presume that some percentage of net income is returned to investors, then Calculate may provide a better return on investment.

The scenario given here is only interested in the first 10 years. However, beyond that time frame (see part C), we find that Computate's income growth far exceeds that of Calculate.

__

c) Extending the table through year 13, we see that Computate's net income exceeds Calculate's in that year. It continues to remain higher as long as the model remains valid.

2. A spider can walk at a certain speed and run at
another speed. If she walks for 10 seconds and runs for 9
seconds, she travels 85m. If she walks for 30 seconds and
runs for 2 seconds, she travels 130m. Find her speeds of
walking and running.

Answers

Answer:

The answer is below

Step-by-step explanation:

Speed is the ratio of distance covered to the time taken. Speed is given by the formula:

speed = distance / time.

Let us assume the spider walking speed is x and its running speed is y.

If the spider walks for 10 seconds and runs for 9  seconds, she travels 85m. distance = speed * time, hence:

Total distance = distance covered walking + distance covered running

10x + 9y = 85     (1)

Also if she walks for 30 seconds and  runs for 2 seconds, she travels 130m. Hence:

30x + 2y = 130   (2)

Solving equation 1 and 2 simultaneously by mutiplying equation 1 by 3 and subtracting equation 2 from the result:

25y = 125

y =5 m/s

Put  y = 5 in eqn. 2

30x + 2(5) = 130

30x = 120

x = 4 m/s

The spider walks at 4 m/s and runs at 5 m/s

Find the distance between the points. Round your answer to the nearest tenth. (6, -1) and (-2,-6)​

Answers

Answer:

9.433981

Step-by-step explanation:

d=(−2−6)2+(−6−(−1))2−−−−−−−−−−−−−−−−−−−−−√  

d=(−8)2+(−5)2−−−−−−−−−−−−√

d=64+25−−−−−−√

d=8–√9

d=9.433981

What is the value of the expression expression 9 – m. If m = –3, n = 8, and p = –1?

Answers

Answer:

Step-by-step explanation:

i do believe you didn't write the whole problem

if m=-3

9-m=9-(-3)=9+3=12

giving brainly !! if u help me

Answers

1. The goal to solving an equation is finding the solution.
3. You need to subtract 1 from both sides.
4. I think you would add 5 to both sides? Not totally sure.
5. Subtract 5 from both sides.
6. The parentheses, you need to distribute the negative three.

Sorry I don’t know the answer to question two.....

a farmer grows 128 red tomato plants and 102 yellow tomato plants each plant produces about 32 tomatoes the farmer plans to sell each tomato for$2

Answers

Answer:

14720$ he will make and there are 7360 tomatoes

Step-by-step explanation:

Plz help

f(x)=2x+1 Find f(3)

Answers

Step-by-step explanation:

f(3)=2(3)+1

6+1

7

answer is 7

Answer:

f(3)=15

Step-by-step explanation:

just put 3 instead of x

Which equation has a slope of 2 and y-intercept of -3

Answers

y = 2x -3

fhfjdydtsfxbnpurwsgh

What is the reciprocal of 1/5?
5/1
4
1/5

Answers

the reciprocal of 1/5 is 0.2
it’s 5/1 ..........!,!.,

this app is bad its s lie​

Answers

IKR like I need answer and it takes so long to someone answer:”c but sometimes it helpful

What is the area of a hexagon with a side length of 10? it also has a rectangle in it with other measurements but the question is asking for the area of the hectagon.

Answers

Answer:

there is a formula for a hexagon ..  it's

Area = 3[tex]\sqrt{3\\}[/tex]/2 * [tex]length^{2}[/tex]

where length is the length of one side, assuming all sides are equal

Step-by-step explanation:

3*[tex]\sqrt{3}[/tex]/2= 7.348469228.........

since the length is 10...   the length squared is 100

then the total area of the hexagon is 734.8469228...... [tex]units^{2}[/tex].. what ever they are

if you want to work with some concepts.. you could also say that a hexagon is just a box with the corners cut off and the triangles that are missing are the equilateral right triangles with a hypotenuse of 10 .  and since 2 pieces of those triangles make a square.. you can subtract two squares of that size from the bigger box that the hexagon fits into.  this is a long way to figure this out but might be good for trigonometry practice   :)

it will also be 734.8463288.....  see if you can work that out :)

A net of a storage trunk is shown. Which is the trunk's surface area?

Answers

3,680 sq. in.

(36*20)*4= 2880
(20*20)*2= 800

Determine whether the relationship is a function. Complete the explanation.


(0, 4), (8, 8), (3, 2), (9, 1), (8, 7)

Answers

Answer:

the relationship is not a function

Step-by-step explanation:

it's not a function because two of the domains are the same.

The relationship represented by these ordered pairs is not a function.

We have,

To determine whether the relationship is a function, we need to check if each input (x-value) is associated with exactly one output (y-value).

If there is any x-value that is associated with multiple y-values, then the relationship is not a function.

Let's analyze the given set of ordered pairs:

(0, 4), (8, 8), (3, 2), (9, 1), (8, 7)

Here, we can see that the x-value 8 is associated with both y-values 8 and 7.

Therefore, the relationship is not a function because one input (x-value) is mapped to multiple outputs (y-values).

In a function, each input must have a unique output, but in this case, the x-value 8 is associated with both 8 and 7 as the corresponding y-values.

Thus,

The relationship represented by these ordered pairs is not a function.

Learn more about functions here:

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what is 2 + 2= i need to know

Answers

4 :))))) hope this helps ya out
Explain:

Answer:

4 but what 1x1

Step-by-step explanation:

A construction company bought 673.718 kilograms of gravel and 140.91 kilograms of sand. How many kilograms of material did the company buy in all?

Answers

Answer:

814.628 kg

Step-by-step explanation:

We are finding the total number of kilograms, so we must add it all together.

673.718 + 140.91 = 814.628 kg in all

What is the slope of a line that passes through the following points (4, 6) and (2, 0)?

Answers

Answer:

3

Step-by-step explanation:

Step-by-step explanation:

formula to fine slope

m=tan()=y2-y1/x2-x1

What is the partial fraction decomposition of 11x-38/(2x-5)(x-4)

Answers

Answer:

D

Step-by-step explanation:

7/2x-5+2/x-4 is the partial fraction decomposition of 11x-38/(2x-5)(x-4)

What is Fraction?

A fraction represents a part of a whole.

We need to write the partial fraction decomposition of 11x-38/(2x-5)(x-4)

(11x-38)/(2x-5)(x-4)=A/2x-5+B/x-4

11x-38=A(x-4)+B(2x-5)

11x-38=Ax-4A+2Bx-5B

We need to find the values of A and B

Compare the coefficients of x

11=A+2B

A=11-2B

Compare the constants

-38=-4A-5B

-38=-4(11-2B)-5B

-38=-44+8B-5B

-38=-44+3B

-38+44=3B

6=3B

Divide both sides by 3

B=2

Now A=11-2(2)=7

Hence, 7/2x-5+2/x-4 is the partial fraction decomposition of 11x-38/(2x-5)(x-4)

To learn more on Fractions click:

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The equation of the line that has a slope of 3 and passes through the point (2, 1) is y = 3x - 5.
True
ОО
False

Answers

Answer:

True

Step-by-step explanation:

y = 3x - 5 does have slope 3.

Let's test point (2, 1).

y = 3x - 5

1 = 3(2) - 5

1 = 6 - 5

1 = 1

Point (2, 1) does work in the equation.

Answer: True

Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time
he swims. This week, he spent more than 6 hours training for the race. Which graph represents his possible training
times this week

Answers

Step-by-step explanation:

Given that,

Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time  he swims. This week, he spent more than 6 hours training for the race.

Let x represent no. of times Dominick runs per week and y represents no. of times that Dominick swims per week.

ATQ,

0.75x + 1.5y > 6

The graph represent the scanario for the given data.

Answer:

picture A

Step-by-step explanation:

I know because I just took a quiz and i got it right

The graph represents the height y, in feet, above the ground of a water balloon x seconds after it is dropped from a window.



Which statement is true?

Select each correct answer.




The maximum height of the water balloon occurs at x = 0.

The water balloon is in the air for 2 s.

The water balloon hits the ground in 64 s.

The water balloon rises above 64 ft before falling toward the ground.

The maximum height of the water balloon is 64 ft.

Answers

Answer:

O The maximum height of the water balloon occurs at x = 0.  

O The water balloon is in the air for 2 s.  

O The maximum height of the water balloon is 64 ft.

Step-by-step explanation:

Firstly, by simply looking at the x axis on the graph (time), you will see that it starts at 0 and the 64 ft maximum height is aligned with the starting point of 0 seconds.

The graph also shows (x axis) the 'time' represented, and as the height rapidly decreases the graph eventually reaches the 2 second mark, going no further and no lower.

Finally, the graph shows (y axis) the peak of the water balloon's height is 64 ft, as it is the highest number reached while the water balloon was airborne.

The correct options are (A) The maximum height of the water balloon occurs at x = 0, (B) The water balloon is in the air for 2 s, and (5) The maximum height of the water balloon is 64 ft are correct.

What is a parabola?

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have:

The graph represents the height y, in feet, above the ground of a water balloon x seconds after it is dropped from a window.

The water balloon follows a path such that it makes half parabola.

From the graph:

At x = 0

Height(h) = 64 feet

Which is the maximum height of the water balloon.

After t = 2 seconds

The water balloon hits the ground

The correct options are:

The maximum height of the water balloon occurs at x = 0.  The water balloon is in the air for 2 s.  The maximum height of the water balloon is 64 ft.

Thus, the correct options are (A) The maximum height of the water balloon occurs at x = 0, (B) The water balloon is in the air for 2 s, and (5) The maximum height of the water balloon is 64 ft are correct.

Learn more about the parabola here:

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Which expression would the model be most helpful in solving?

An area model has 5 shaded parts and 1 unshaded part.

Answers

This question is awfully vague without any images of the equation to back it up, sorry

A hiker starts hiking at the beginning of a trail at a point which is 20 feet below sea level. He hikes to a location on the trail that is 58 feet above sea level
and stops for lunch

What is the vertical distance between 200 feet below sea level and 580 feet above sea level?

Answers

Answer:

780 feet below sea level

Step-by-step explanation:

Sofia is making quarter circle felt pieces for a sewing project. If the diameter of one full circle is 4.6 inches, what is the area of each quarter circle rounded to the nearest hundredth? use 3.14







3.61

4.15

16.61

66.44

Answers

Answer:

4.15

Step-by-step explanation:

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