You work as a cashier for a grocery store and earn $5 per hour. You also mow lawns and earn $10 per hour. You want to earn at least $50
per week, but would like to work no more than 10 hours per week.
Which system of inequalities, along with y0 andx
0, would you use to solve the real-world problem?

Answers

Answer 1

The required inequalities are x + y ≤ 10 and 5x + 10y ≥ 50

What is an inequality?

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, You work as a cashier for a grocery store and earn $5 per hour. You also mow lawns and earn $10 per hour. You want to earn at least $50 per week, but would like to work no more than 10 hours per week.

Let, you work at grocery story (x), and you work mowing lawns (y)

You want to work no more than 10 hrs

So, first inequality will deal with hrs.

x + y ≤ 10....(i)

A less than or equal to sign tells that you do not want to work more than 10 hrs, but you can still work 10 hrs, so we include the equal sign as well.

And,

Grocery store (x) earning $5 per hr and lawn mowing (y) earning $10 per hr, making at least $50...

Now we will make an inequality dealing with the $

5x + 10y ≥ 50.....(ii)

A greater than or equal to sign tells that, you want to make 50 or more, so we include the equal sign.

So, the inequalities are :

x + y ≤ 10

5x + 10y ≥ 50

Learn more about inequalities, click;

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Related Questions

The minute hand of a clock in a clock tower has a length of 36 inches.

If a butterfly landed on the extreme tip of the minute hand at exactly 12:00 noon and rode the minute hand until 12:45 p.m., how far did the butterfly ride along the arc traced by the minute hand? Round your answer to the nearest foot.

Answers

Answer:

45 degrees

Step-by-step explanation:

   Butterfly will ride along the arc traced by the minute hand = 14 feet

Perimeter of a sector: Perimeter of a sector of a circle is given by the expression,

         [tex]P=\frac{\theta}{360^\circ}(2\pi r)[/tex]

          Here, θ = Angle formed at the center of the circle by the arc of

                          a sector

                     r = Radius of the circle

Since, minute hand of a clock forms an angle measuring 270° at the center to cover from 12:00 noon to 12:45 p.m.

Length of the minute hand = 36 inches

Perimeter of the arc = [tex]\frac{270}{360}(2\pi)(36)[/tex]

                                  = 169.646 inches

Since, 1 inch = [tex]\frac{1}{12}[/tex] foot

          169.646 inches = 14.137 ft.

                                     ≈ 14 ft.

        Therefore, butterfly will ride 14 feet along the arc traced by minute hand.

Learn more about the perimeter of an arc here,

https://brainly.com/question/1582130?referrer=searchResults

in order for students to have a club at school they need a minimum of 22 students. If there are 17 students signed up for the club, how many more students does the club need

Answers

Answer: 5 more students need to sign up.

what are three types of transformations of linear functions?
PLEASE HELP

Answers

the three are translation, reflection, compression or stretch

Answer:

Translation, refelction, stretch/compression. :D

Step-by-step explanation:

QUESTION Lin’s father is paying for a $20 meal. He has a 15%-off coupon for the meal. After the discount, a 7% sales tax is applied.
how much does lin father pay for the meal

Answers

Answer:

18.19

Step-by-step explanation:

First we must determine how much 15% of 20 is (3). Now we must subtract that from 20 (20-3=17$) Once we have that we must figure out how much 7% of 17 is ($1.19) Lastly, we must add the tax to 17.00 (17+1.19) to get 18.19.

WHAT IS 5+5+5+5?WHAT IS 5+5+5+5?

Answers

Answer:

Step-by-step explanation:

20?

Answer: 20

Explanation:

5x4=20

Probability 1 There is a chance of a spinner landing on blue. Which statement is true? A lis unlikely that the spinner lands on blue. B. It is likely that the spinner lands on blue. C. It is impossible for the spinner to land on blue. D. It is certain that the spingerlands on blue.​

Answers

Answer:

B makes most sense.

Step-by-step explanation:

Which coordinate plane contains the points ( 2,3.5) and (-0.5,4) ? Ill give brainliest

Answers

Answer:

D

Step-by-step explanation:

Answer:

D is the only one that has either of those points. so the correct answer is D

what is the scale factor

Answers

Answer:

2/5

Step-by-step explanation:

Since it's from a big square to a smaller square, the smaller number will be at the top. Also, use the same side to find the scale factor, but since this is a square and all sides of a square are equal, it doesn't matter but in other shapes it does so practice i guess:

Left side of big square: 5

Left side of small square: 2

So scale is 2/5

To confirm:

5 · 2/5 = 10/5 = 2, we're right

A scale factor is usually a decimal which scales, or multiplies, some quantity. In the equation y = Cx, C is the scale factor for x. C is also the coefficient of x, and may be called the constant of proportionality of y to x.

Solve.
9x + 6y = -3
y = -8

Answers

Answer:

5

Step-by-step explanation:

9x+6y=-3

9x+6(-8)=-3

9x-48=-3

9x=45

x=5

Answer:

x=5, y= -8

Step-by-step explanation:

Ducklings cost $15 each. Chicks cost $12 each. You have $60 to spend on poultry

Answers

Answer:

If your question is how much money you have after you purchase a duckling and a chick, your answer would be $33. It seems to me like you posted the question without finishing it. I'm guessing you were about to mention how many ducklings and chicks you were going to buy and how much money you would have leftover for the poultry.

Step-by-step explanation:

To solve your problem you must add what you're buying and then subtract from your original amount.

For example: if you want one duckling and one chick and you would like to know how much money you have leftover to buy poultry. $15 + $12= $27 dollars in all. Then, you will subtract $27 dollars from $60, this way you know how much money you will have left in order to buy the poultry. $60 - $27= $33.

WILL GIVE 100 POINTS TO BEST ANSWER NEED HELP FAST!!!!! AND BRAINLIEST
The coordinate plane below represents a community. Points A through F are houses in the community.
Part A: Using the graph above, create a system of inequalities that only contains points B and F in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. (5 points)

Part B: Explain how to verify that the points B and F are solutions to the system of inequalities created in Part A. (3 points)

Part C: John wants to live in the area defined by y > 2x − 5. Explain how you can identify the houses in which John is interested in living.

Answers

Answer:

I don't know buh download socratic for the answer nd explanation

Help and I’ll give brainliest

Answers

Answer:

They purchased 11 Packets

Step-by-step explanation:

C=11p + 30

Solve the inequality − 3 x + 6 > 15

Answers

Answer:

The Answer to your question is x<-7 Hope This could Help

Step-by-step explanation:

Answer:

x<−3

Step-by-step explanation:

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

−3x+6>15

Step 1: Subtract 6 from both sides.

−3x+6−6>15−6

−3x>9

Step 2: Divide both sides by -3.

−3x/−3>9/−3

pls mark as brainliest

Find the final price of the item.
CD player: $87.95
discount: 35%
tax: 5.75%

Answers

Answer:

$60.47

Step-by-step explanation:

not sure. I'm not too familiar with this math, so I kinda winged it, hope this helps

-2 (3.1) find the product

Answers

Answer:

-6.2

Step-by-step explanation:

just because.

Hello everyone, I'm feeling a bit generous today so here yall go.
2x2=
4x4x4=
2+5=

(14 points will be given.)
First one to solve all three gets 5 star rating, heart, brainliest.
Second to solve all three gets a 5 star rating, heart, and well points for answering ofc just as the first.

Answers

Answer:

4

64

7

Hope I helped

Answer:

2x2=4

4x4x4=64

2+5=7

Step-by-step explanation:

HAPPY HOLIDAYS :)

Shaun is playing a game in which he receives 2 points for every correct answer and -5 points for every incorrect answer . After 4 questions shauns score is 1 if he answer the next question incorrectly what will shauns score be ? I need really bad help

Answers

Answer:

-4 :)

Step-by-step explanation:

A peach pie is made with 13 peaches, which are evenly distributed throughout the pie. If Joe ate one slice of pie that contained exactly 5 peaches, what wqs the angle measure of the slice to the nearest tenth of a degree?

Answers

Answer:

138.5°

Step-by-step explanation:

A peach pie is in the form of a circle. The sum of angles in a pie is equal to 360°.

Since there are 13 peaches evenly distributed, therefore each peach occupies 360/13 degrees.

Joe ate one slice of pie that contained exactly 5 peaches, hence:

Angle measure of slice = (number of peaches in the slice / total number of peaches) * 360°

Angle measure of slice = (5 / 13) * 360°

Angle measure of slice = 138.5°

How much interest is earned in two years in a investment of 2,000 and the interest rate is 3%

Answers

Answer: $1,140

Step-by-step explanation:

2000 x .03 = 60

60 x 24 months = $1,140

A regular pentagon has what type of
symmetry?

Answers

Answer:

5 sides

Step-by-step explanation:

5

Line symmetry in regular polygons

A regular pentagon has 5 sides and 5 lines of symmetry. The number of lines of symmetry in a regular polygon is equal to the number of sides.

Answer:

line symmetry only

Step-by-step explanation:

also please explain
m=?
b=?
equation=?

Answers

Answer:

Decimal form: y = -3x + 1

Exact form: y = -3x + 1

m (slope)= -3

b= 1

Reva is playing a bean-bag toss game. For each bag that misses the board, the player scores 8 points. Reva misses the board 4 times in one game. What is her total score for those 4 tosses?

Answers

Answer:

a. -32

Step-by-step explanation:

Carrie spent
1
4
of her allowance on a shirt,
1
3
of her allowance on a skirt, and $8 on a belt. If she spent $22 in all, how much was Carrie’s allowance?

Equation:
1
4
a +
1
3
a + 8 = 22

Carrie’s allowance was $

Answers

24 dollars.

1/4 + 1/3 = 3/12 + 4/12 = 7/12

7/12 a + 8 = 22

7/12 a = 14

a = 14 x 12/7

a = 24 dollars

Question 2 (1 point)
Evaluate: 12 + (-4)
16
8
-16
-8

Answers

i think it’s answer 8

Espadol
Yolanda's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Yolanda $4.05 per pound, and type B coffee costs $5.40 per
pound. This month, Yolanda made 153 pounds of the blend, for a total cost of $699.30. How many pounds of type A coffee did she use?
Number of pounds of type A coffee:(
5
?

Answers

Answer:

94 pound of type A

Step-by-step explanation:

Aubree mowed 12 lawns in 10 hours. What was her rate of mowing in hours per
Lawn?

Answers

Answer: 1.25 lawns/per hour

Step-by-step explanation:

Rebecca buys a shirt for $38.
She finds out the shirt is 25% off
and there is 8% sales tax. If
Rebecca has $40, how much change
will she receive?

Answers

Answer:

$8.46

Step-by-step explanation:

This is assuming that the sales tax is applied on the pre discounted item.

MDOSMSIENEIDIENDJDJCJX

Polina the Polar Bear sat on an ice floe in the Arctic Ocean, north of Alaska. Polina was waiting for her mother, Bearnice, to return hwith some tasty seal blubber for lunch. Bearnice was hunting, waiting for seals to come up for air through holes in the ice, the same way Polar Bears have hunted in the winter for centuries. Except this year there was one big difference.

A lot more of the ice had melted last summer, and this winter it hadn’t refrozen as usual. A combination of warmer weather and changes in water and air currents was making the ocean warmer than anyone could remember, and Bearnice had to swim farther every day to find a good hunting spot.

As Polina waited for her mother to bring food back to her floe, the ice shrank bit by bit until she was sitting on very thin ice. As Polina waited helplessly, the furry white cub heard a deep voice coming from the direction of the sea.

“Hellooo little bear,” it said. Polina had never heard such a deep voice. She lifted her tired head to look out over the water, and was surprised that the voice seemed to come from a dark ice floe just offshore.

"No, wait!" It had a huge eyeball that was looking directly at her. It wasn’t an ice floe — it was the largest whale Polina had ever seen. It was also the first whale that had ever spoken to her.

“They call me Farswimmer,”said the whale, “because I travel all over the world, having adventures and learning new things. What brings you here alone, Polar Bear?” Farswimmer was very old, and he had seen many changes in his years of exploring the oceans. He certainly knew more about the world than most polar bears.

Farswimmer seemed like a nice whale, but Polina remembered Bearnice, her mother, and how she hadn’t come back from hunting.

Farswimmer blew a tall spout to distract Polina and stop her from crying.

When Polina told the whale her own story, he said, “I’m headed north anyway. You could ride on my back, and we can look for your mother. Are you ready for an adventure?” The next morning, Farswimmer and Polina charted their course and took off. Polina rode Farswimmer’s back and sometimes floated behind him, holding his tail. She also stood on his back and pretended she was surfing. It was a blast.

They took a break on an ice floe. Soon, they saw something in the distance that looked like another ice floe, but just to be sure, Farswimmer left Polina on the ice and swam to the floating object.

It wasn’t an object. It was an animal. Farswimmer used his fat nose to push the animal to Polina’s icy raft. When they got closer, Polina saw a familiar face.

“Mommy,” she yelped. Bearnice was very tired, but the sound of her cub’s voice made her happy. She opened her arms and the two embraced each other in a big bear hug.

Read the passage on the left to answer the following questions:
1)
What is the main conflict in this story?
A) Farswimmer cannot find Polina's mother.
B) Polina's mother is unable to find any seals to feed Polina.
C) Bearnice decides that she wants to let her daughter live alone.
D) The ice is melting around Polina, and her mother hasn't returned.
2)
Which statement best describes the relationship Polina the Polar Bear and the whale Farswimmer?
A) Polina is angry at Farswimmer for being so large and scary.
B) Farswimmer has no interest in helping Polina find her mother.
C) The whale Farswimmer is kind and helpful to frightened Polina.
D) Polina is in love with Farswimmer the whale and wants to run away with her.
3)
How is Farswimmer characterized in this story?
A) as an unhappy and mean whale
B) as a kind and wise old whale
C) as an indifferent, cruel creature
D) as a simple-minded, innocent creature
4)
Which BEST describes the characters in this story?
A) Farswimmer is old and Polina is young. They can both talk.
B) Farswimmer and Beatrice are both old. They can both talk.
C) Farswimmer and Polina are both young and can both talk.
D) All three are young and can talk.
5)
What is the setting of this story?
A) a warm Mediterranean sea
B) the endless ice of Antarctica
C) an Eskimo village in the snow

Answers

C) Farswimmer's dialogue reveals him to be a generous, kindly, old whale.

Factor the following expression completely 16x^2-49

Answers

Answer:

(4x+7)(4x-7)

Step-by-step explanation:

PLEASE HELP ME PLEASE

Answers

Answer:

8.5

Step-by-step explanation:

15x+10+6x+2=180 (add up to we 180 because they are alternate eachother

21x+12=180 combine like terms

21x=178 subtract 12 from both sides

x~~8.5 divide both sides by 21

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