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.​

Answer:

the answer should be [tex]-20.2m - 11.8[/tex]

Step-by-step explanation:

The margin of error is 0.027 and the interval estimate at 95% confidence interval is 0.612 to 0.666

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

Proportion, p = 63.9%

Sample size, n = 1200

The margin of error can be calculated using:

E = z * √((p * (1 - p))/n)

Where

z = 1.96 i.e. z-score at 95% CI

Substitute the known values in the above equation, so, we have the following representation

E = 1.96 * √((0.639 * (1 - 0.639))/1200)

Evaluate

E = 0.027

The interval estimate is calculated as

I = p ± E

So, we have

I = 0.639 ± 0.027

Evaluate

I = 0.612 to 0.666

Hence, the interval estimate is 0.612 to 0.666

Read more about confidence interval at

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Question

Fewer young people are driving. In 1995, 63.9% of people under 20 years old who were eligible had a driver’s license. Bloomberg reported that percentage had dropped to 41.7% in 2016. Suppose these results are based on a random sample of 1200 people under 20 years old who were eligible to have a driver’s license in 1995 and again in 2016.

At 95% confidence, what is the margin of error and the interval estimate of the number of eligible people under 20 years old who had a driver’s license in 1995?

um kevin bought 31.50 of what? food?

Answer:

4 7/500 as a percent is 401.4%

The mixed fraction [tex]4\frac{7}{500}[/tex] can be represent as 401%.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

Fraction : 4 7/500

Now, writing the fraction in normal fraction form

= 4 7/500

= 2007/500

Now, to convert into percent

= 2007/ 500 x 100

= 2007/ 5

= 401%

Learn more about fraction here:

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Answer:

y = (1/2) x - 2

Step-by-step explanation:

Let us consider the points (- 2, - 3) & (0, - 2)

Equation of line in two point form is given as:

[y-(-3)]/[-3-(-2)] = [x - (-2)]/[-2 - 0]

(y + 3)/(-3 +2) = (x + 2)/ (-2)

(y + 3)/(-1) = (x + 2)/(-2)

(y + 3)/(1) = (x + 2)/(2)

2(y + 3) = (x + 2)

2y + 6 = x + 2

2y = x + 2 - 6

2y = x - 4

y = (1/2) x - 2

PROCEED IN THE SAME WAY TO FIND OUT THE REMAINING FUNCTIONS.

Answer:

their down payment is 30%

Step-by-step explanation:

Answer:

Step-by-step explanation:

if the price of the apartment is 140,000 dollars

lets find out how much is 1%

140,000/100=1400

42,000/1400=30  

42,000 is 30% of the apt price

49,000/1400=35

49,000 is 35% of the apt price

Answer:

40

Step-by-step explanation

x=40 because if you time these in like this:

3(40)-10= 110

40+15=55

If you user 65 it'll be wrong because:

3(65)-10=185    

And the whole thing is only 180 :]

Answer: The answer is D. 1/16

Step-by-step explanation: If you think about it, 2 to the 4th power is 16. But in this situation, you have a negative exponent. To solve an exponent situation with a negative situation, put a 1 as the numerator and put the answer of the expression but with the exponent's positive value as the denominator. Hope this helps :D

Answer:

720

Step-by-step explanation:

600*.2=120

120+600

720

Answer:

720 dollars

Step-by-step explanation:

find 20% of 600 dollars

[tex]\frac{20}{100} * 600[/tex]

= 120 dollars

600 + 120

= 720

I hope this helped!

please mark me as brainliest

Answer:

2 is not a function.

3 is a function

Step-by-step explanation:

one x value should each have a line leading off it. there are 2 y values for one x values in question 2 so its not a function

Answer: -2, 1, 6,...97

Step-by-step explanation:

1st term: 1^2 - 3 = -2

1^2 = 1

1-3=-2

2nd term: 2^2-3 = 1

2^2 = 4

4-3=1

3rd term: 3^2-3 = 6

3^2 = 9

9 -3 = 6

10th term: 10^2-3 = 97

10^2 = 100

100-3=97

Answer:

f(x)= 34x +56      34(12) +56=464

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

32/1.6= 20

How do you want me to show the work? Long division?

Answer:

20

Step-by-step explanation:

Idk how you want me to show the work, sorry. The formatting will be weird unless I attach a pic or something

Answer:

-6, -4

Step-by-step explanation:

If you flip the shape over the Y axis you can see

Answer:

answer is 0

Step-by-step explanation:

Answer:

its zero

Step-by-step explanation:

28 divided by 4 is 7

7 to the power of 2 is 49

49 divided by 7 is 7

7-7 is 0

Answer:

60

Step-by-step explanation:

base times height

Answer:

5

Step-by-step explanation:

Divide both sides by 2.

Answer:

x=5

Step-by-step explanation:

2x=10

Divide 2 from the other side to isolate the variable.

x=5

Answer:

15$

Step-by-step explanation:

hope this helped

Answer:

35*0.25= 8.75 (multiply by the discount converted into a decimal)

35- 8.75= 26.25  (subtract that from the original to find the discount price)

or

35* 0.75= 26.25 (multiply by the percentage of the original price that you bought the jeans at)

Step-by-step explanation:

either way the answer is $26.25 is the discounted price

Answer:

your answer is going to be 220.

Step-by-step explanation:

h = -16t² + 10t + 6

When h = 0, -16t² + 10t + 6 = 0.

=> -8t² + 5t + 3 = 0

=> (-8t - 3)(t - 1) = 0

=> t = 1 or t = -3/8 (rejected as time cannot be negative)

Hence 1 second passed before the ball hits the ground.

Answer:

x=−1 or x=−12

Step-by-step explanation:

Let's solve your equation step-by-step.

x2+13x+12=0

Step 1: Factor left side of equation.

(x+1)(x+12)=0

Step 2: Set factors equal to 0.

x+1=0 or x+12=0

x=−1 or x=−12

Answer:

Solution

=

−

1

=

−

1

2

Step-by-step explanation:

I'm not 100 % sure about my answer

Step-by-step explanation:

We need to prove that,

[tex]\cot^2 a-\cos^2 a=\cot^2 a\times \cos^2 a[/tex]

Taking LHS,

[tex]\cot^2 a-\cos^2 a[/tex]

We know that,

[tex]\cot a=\dfrac{\cos a}{\sin a}[/tex]

​[tex]=(\dfrac{\cos a}{\sin a})^2 -\cos^2 a\\\\=\cos^2 a(\dfrac{1}{\sin^2 a}-1)\\\\=\cos^2 a(\dfrac{1-\sin^2a}{\sin^2 a})\\\\=\cos^2 a\times \dfrac{\cos^2 a}{\sin^2 a}\\\\=\dfrac{\cos ^2 a}{\sin^2 a}\times \cos^2a\\\\\because \ \dfrac{\cos ^2 a}{\sin^2 a}=\cot^2 a\\\\=\cot^2 a \times \cos^2a\\\\=RHS[/tex]

So, LHS = RHS

Hence, proved.

Answer:

19min

Step-by-step explanation:

Answer:

y=60

Step-by-step explanation:

Answer:

B, 50 + p.

Step-by-step explanation:

To combine their weight, you would add them together. B is the only answer that uses addition.

Answer:

[tex]x=30^{\circ}[/tex]

Step-by-step explanation:

Looking at [tex]\triangle LMN[/tex]:

[tex]\angle NML = 180 - (90+45)[/tex] (angle sum of triangle is [tex]180^{\circ}[/tex])

[tex]=45^{\circ}[/tex]

Looking at [tex]\triangle KNM[/tex]:

[tex]\angle KNM = 180-105[/tex] (angle of straight is [tex]180^{\circ}[/tex])

[tex]=75^{\circ}[/tex]

[tex]\angle KNM + \angle NKM + \angle KMN = 180[/tex] (angle sum of triangle is [tex]180^{\circ[/tex])

[tex]75+2x+45 = 180[/tex]

[tex]2x+120 = 180[/tex]

[tex]2x=60[/tex]

[tex]x=30^{\circ}[/tex]

Hope this helps :)

Answer:

but we can't write all the answers here

Answer:

Step-by-step explanation:

1. complementary

2. alt ext

3. supplementary

4. corresponding

5. b=65

6. 34

7. x=7

8.x=18

Answer$46

Step-by-step explanation: Because if he saves $6 every week for 6 weeks then all you have to do is times 6 by 6 then plus ten equaling your problem.