You eam $10 per hour working as a manager at a grocery store. You are required to work at the grocery store at least 8 hours per week. You also teach music lessons for $15 per hour. You need to earn at least $120 per week, but you do not want to work more than 20 hours per week. a. Write a system of linear inequalities that represents the situation. Use z for hours worked at the grocery store and y for hours teaching music lessons. Inequality for hours at grocery store: Inequality for total earnings: Inequality for total work hours: b. Identify and interpret a solution of the system. (4, 10): You can work 4 hours at the grocery store and spend 10 hours teaching music lessons. O (9, 1): You can work 9 hours at the grocery store and spend 1 hour teaching music lessons. (12, 10); You can work 10 hours at the grocery store and spend 10 hours teaching music lessons (12, 2): You can work 12 hours at the grocery store and spend 2 hours teaching music lessons. C. Can you you work 8 hours at the grocery store and teach 1 hour of music lessons? You work 8 hours at the grocery store and teach 1 hour of music lessons.​

Answer:

The input is x = 12.

Step-by-step explanation:

We are given the following function:

[tex]y(x) = \frac{25x}{6} - 34[/tex]

We have to find the input(x) if the output y is 16. So

[tex]16 = \frac{25x}{6} - 34[/tex]

[tex]\frac{25x}{6} = 16 + 34[/tex]

[tex]\frac{25x}{6} = 50[/tex]

[tex]25x = 6*50[/tex]

Simplifying both sides by 25

[tex]x = 6*2 = 12[/tex]

The input is x = 12.

Answer:

x+y=10

x+y=10-3

x+y=7

xy²=7

answer 7

hope that helps

Step-by-step explanation:

Brainliest?

Answer:

im pretty sure false. ......... ....................

Answer:

8 pounds

Step-by-step explanation:

8.75 / 3.5 = 2.5

20/2.5 = 8

Answer: 8 pounds of strawberries

Step-by-step explanation:

$8.75 - 3.5 pound

? - 1 pound

1 pound - 8.75 ÷ 3.5 = 2.5

$2.50 = 1 pound

$20.00 = ?

$20 = 20 ÷ 2.5 = 8

$20.00 = 8

Allison can buy 8 pounds of strawberries with $20.00

Hope that helped!

Answer:  g > 7

Graph has an open circle at 7 on the number line, shading to the right

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Explanation:

Think of it like saying "I have a number, and I add on 5. The result is something larger than 12". You can guess and check your way to the answer, but the quickest way is to subtract 5 from both sides.

We subtract to undo the addition happening to the 'g'.

g+5 > 12

g+5-5 > 12-5

g > 7

So the number is larger than 7. For instance, if g = 8, then,

g+5 > 12

8+5 > 12

13 > 12

This is a true statement.

-------------------------

If you need to graph the solution, then you'll have an open circle at 7 on the number line. The open circle says to the reader "don't include this value as part of the solution set". Shade to the right of the open circle to describe all values larger than 7.

In summary, the graph has an open circle at 7 and shading to the right.

Answer:give them a 100$ bill and ask for change

Step-by-step explanation:

Answer: C

Step-by-step explanation:

1.2x-10=0.2x+14

subtract 0.2x

1.0x-10=14

add 10

x=24

Answer:

.........................

Step-by-step explanation:

Answer:

10X5 = 50    9X12 = 108

Step-by-step explanation:

Answer: it’s 20

Step-by-step explanation: QR= 6, RS= 6, ST= 8 because 14-6=8

Answer:

The answer is 20

Step-by-step explanation:

If R is in the middle of s and q and it equals 6, then you just have to multiply it by 2. You will get 12 for QS. Now to find the whole thing, subtract 6 from 14 to get 8 and add 8 to 12 to get 20.

20 is your answer.

Answer:

Its c, none of the above.

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

Given that ∆BCD ~ ∆BFG, therefore the ratio of their corresponding side lengths will be equal.

Thus:

[tex] \frac{BC}{BF} = \frac{BD}{BG} [/tex]

Substitute

[tex] \frac{17x + 13}{36} = \frac{154}{42} [/tex]

Cross multiply

[tex] 42(17x + 13) = 154(36) [/tex]

[tex] 714x + 546 = 5,544 [/tex]

[tex] 714x = 5,544 - 546 [/tex] (subtraction property of equality)

[tex] 714x = 4,998 [/tex]

Divide both sides by 714

x = 7

Answer:

x=144

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\text{At least an } 87\%}[/tex]

Step-by-step explanation:

In order to find what score Alex must earn to have an average of 86 on all his tests, we need to first note what the formula to find the average of a data set is.

[tex]\displaystyle \frac{x_1+x_2+...x_n}{n}[/tex]

What the formula means is that we have to add up all the values then divide by the total number of values.

Let's represent our unknown number as [tex]x[/tex].

[tex]\displaystyle \frac{98+72+87+x}{4} \geq 86[/tex] (since we want AT LEAST an 86).

Let's solve this inequality for x.

So, Alex must score at least an 87% on his next quiz to have an average of 86%.

Hope this helped!

Answer:

hmm i am not sure sorry XD

Step-by-step explanation:

Answer:

9546 yards

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The ratio's of the sides of "D" match.

15/18=17.5/21

Answer: The water level rises

Step-by-step explanation:

Answer:

D, (1,4)

Step-by-step explanation:

This is the correct answer :)

Answer:

No

Step-by-step explanation:

Absolute values are always positive

If helpful pls give 5 star, brainliest, and thanks!

Answer:

I think it's right. It's been a while so I'm not 100% sure but I'm pretty sure.

Step-by-step explanation:

Answer:

(3/2, 5/2)

Step-by-step explanation:

The x value for the vertex of a parabola in the form y=ax^2+bx+c is -b/2a. The x value is then plugged into the function to find the y value.

12, 15, 18

Step-by-step explanation:

The sign means equal to or greater than.

Answer:

$7049 is the answer.

Step-by-step explanation:

Answer: $7980

Step-by-step explanation:

Follow the formula A=Pe^rt

A= 7500(e)^(.031)(2)

A= 7980

Answer:

Divide both to get the specific number of rolls which is 5

Answer:

234234234234234234234

Step-by-step explanation:

Answer:

80 tablespoons of flour for 2 pounds of butter

Step-by-step explanation:

5 tablespoons = 2 ounces.

2=5

4=10

6=15

8=20

10=25

12=30

14=35

16=40

18=45

20=50

22=55

24=60

26=65

28=70

30=75

32=80

Answer:

Step-by-step explanation: So theres 10 marbles total in the bag. 5 is one half of 10 so the probability to get a blue marble is 5/10 or 1/2 and the probablility of getting an orange one is 1/10 so you have to first get lucky and get that 5/10 chance, and then get even more lucky and get the 1/10 chance and so I believe that it would be 1/20

Answer:

Correct headsets= 274.4 = 274

Step-by-step explanation:

Giving the following information:

Number of units= 280

There is a 2% chance of finding a defective headset.

To calculate the number of headsets without any defect, we need to use the following formula:

Correct headsets= 280*0.98

Correct headsets= 274.4 = 274