A club decides to sell t-shirts for $15 as a fundraiser. It cost $20 plus $9 per t-shirt to make the t-shirts. Write and solve an equation to find how many t-shirts the club needs to make and sell in order to profit at least $152?
A. 15x - (9x+20) greater than or equal to 150; x greater than or equal to 28.33
B. 15x-9x + 20 greater than or equal to 150; x greater than or equal to 20
C. (8x+20) -15x greater than or equal to 150; x greater than or equal to 20
D. 15x -9 (x+20) greater than or equal to 150;x greater than or equal to 20

Answers

Answer 1

The general equation for profit is written below:

Profit = Revenue - Total Cost
Revenue is the total sales you get while total cost includes the capital and other variable costs.

Letting x be the number of t-shirts, the revenue would be 15x, while the total cost is (20 + 9x). So, the profit equation becomes:

150 ≤ 15x - (20 +9x)

The ≤ symbol means that the right side of the equation must be equal or greater than 150 so that you can reach your goal profit.
Solving for x,

150 + 20 ≤ 15x - 9x
x ≥ 28.33
Hence, the answer is A.

Related Questions

Investigators at the scene of a crime strongly suspect that a handwritten promissory note for $10,000.00 has been altered to read $40,000.00. how might this be proven?

Answers

To prove that there is altering made on the promissory note, the investigators should test the ink on a piece of TLC. This would tell them when the ink was used and how long ago it was used so they can compare.

I need help to figure this problem out

Answers

check the picture below.

keeping in mind that, "x" is just a length unit, and thus it cannot be negative.

Wyatt’s eye-level height is 120 ft above sea level, and Shawn’s eye-level height is 270 ft above sea level. How much farther can Shawn see to the horizon? Use the formula mc024-1.jpg, mc024-2.jpg with d being the distance they can see in miles and h being their eye-level height in feet.

Answers

The formula is:

d = √ [ 3h / 2], for h > 0

where d is the distance they can see in miles, and h is their eye-level height in feet.

In the case of Wyatt, h = 120 ft

=> d = √ [ 3(120) ] / 2 = √180 = 13.42 miles

In the case of Shawn, h = 270 ft

=> d = √ [ 3 (270) / 2 ] = √ 405 = 20.12 miles

Given that the question is how much farther Shawn can see to the horizon, you must find the difference:

20.12 miles - 13.42 miles = 6.7 miles

Answer: 6.7 miles

Answer:

3 sqrt5

Step-by-step explanation:

A regular 18-sided polygon is rotated with the center of rotation at its center.

What is the smallest degree of rotation needed to map the polygon back on to itself?

Is it 180 degrees or 20 degrees? Or are both my answers wrong? :(

Answers

360 degrees / 18 sides = 20 degrees

the answer is 20 degrees

The perimeter of a rectangle is 900 yards. what are the dimensions of the rectangle if the length is 70 yards more than the width?

Answers

First, it would be best to divide each side of the rectangle (4 sides) equally first that is:

900:4= 225

So, now we know each side is 225 Yards first..
Now, since the length is 70 yards longer than the width, we know that:

Length: 225+70= 295

Respectively, we also know that the width is 70 yards shorter since the length is already 70 yards longer:

Width: 225-70=155

Checking answer: (295*2) + (155*2) = 900 Yards

As our final answer, the dimension of the rectangle is 295 yards (Length) by 155 yards (Width)

Hope this help with your studies.

1. Clara grew 2 1/8 inches from her ninth birthday to her tenth birthday. If she was 53 2/3 inches when she turned nine. How tall was she when she turned ten?

Answers

53 2/3 + 2 1/8

53 + 2 = 55
2/3 + 1/8 = 16/24 + 3/24 = 19/24
55 + 19/24 = 55 19/24 inches <==

A company manufactured a 16-oz box of cereal. Boxes are randomly weighted to ensure the correct amount. If the discrepancy in weight is more than 0.15 oz, the production is stopped. What is the range of acceptable values for production to continue?

Answers

Answer:

The acceptable range will be : 15.85 oz to 16.15 oz

Step-by-step explanation:

Let the weight of the box be = x

As given,

If the discrepancy in weight is more than 0.15 oz, the production is stopped.

And if the discrepancy in weight is less than 0.15 oz then the production will continue.

We can express this as : If [tex]|x-16| \leq 0.15[/tex] ; the production continues

[tex]|z| \leq a[/tex] or we can say

[tex]-a\leq z\leq a[/tex]

Now, z = x-16, and a=0.15, then the value becomes,

[tex]-0.15 \leq x-16 \leq 0.15[/tex]

Solving for x:

We get the final range as :

[tex]-0.15+16 \leq x-16+16 \leq 0.15+16[/tex]

[tex]15.85\leq x \leq 16.15[/tex]

Therefore, the answer is : [tex]15.85\leq x \leq 16.15[/tex]

It should be noted that the range that's acceptable will be 15.85 oz and 16.15 oz.

How to calculate the range.

From the information, the discrepancy in weight is about 0.15 oz. The lowest weight will be:

= 16 - 0.15 = 15.85 oz

The highest weight will be:

= 16 + 0.15 = 16.15 oz.

Learn more about range on:

https://brainly.com/question/2264373

Joann works in a publicity office at the state university. she is paid $ 13.00 $13.00 an hour for the first 35 35 hours she works each week and $ 19.50 $19.50 an hour for every hour after that. if she makes $ 650.00 $650.00 one week, how many hours did she work?

Answers

She works 45 hours that week. 13*$35=$455. $650-$455=$195. $195/$19.5=10. 35+10=45

Which graph represents the solution set of the system of inequalities?

{−2x+y≤4
y>x+2

Answers

I would say that it is b

Answer:

The correct graph is:

First graph

Step-by-step explanation:

The first inequality is:

[tex]-2x+y\leq 4[/tex]

The graph of this inequality is a straight solid line ( since the inequality is a inequality with a equality sign i.e. not strict ) which passes through (-2,0) and (0,4) and the shaded region is towards the origin as it passes the zero point test.

The second inequality is:

[tex]y>x+2[/tex]

is a dotted straight line (since the inequality is strict) which passes through (-2,0) and (0,2) and the shaded region is away from the origin as it fails the zero point test.

Hence, the correct graph is the first graph.

Can someone please help me with #2 and 4 please thanks

Answers

2. x(2x^2+x+3)

4. 2x^4+11x^2+12= (2x+3)(x+4)

Answers

I just took the test, and the answer is A 504.24

Cindy's new annual premium including the discount would be given by: Option A: $504.24

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

The table given is:

Type of Insurance Coverage= {Coverage Limits} and {Annual Premiums}

Bodily Injury $50/100,000 $31. 75

Property Damage $25,000 $120. 50

Collision $500 deductible $275. 75

Comprehensive $100 deductible $100. 00

Her total annual premium = 31.75 + 120.50 + 275.75 + 100 = $528

Discount offered to her = 4.5% of $528 = (in dollars)

The new premium that she needs to pay after discount = Old premium - discount = $528 - $23.76 = $504.24

Therefore, Cindy's new annual premium including the discount would be given by: Option A: $504.24

To learn more about the percentage;

brainly.com/question/24159063

#SPJ6

The complete question is ;

After reviewing her driving record for the past 3 years, Cindy’s insurance company offers her a good driver discount of 4. 5%. Her original policy was based on the premiums listed below. What is her new annual premium including the discount? Cindy's Auto Insurance Policy Type of Insurance Coverage Coverage Limits Annual Premiums Bodily Injury $50/100,000 $31. 75 Property Damage $25,000 $120. 50 Collision $500 deductible $275. 75 Comprehensive $100 deductible $100. 00 a. $504. 24 b. $523. 50 c. $528. 00 d. $551. 76.

Which angles are corresponding angles?
a. ∠7 and ∠3
b. ∠8 and ∠3
c. ∠3 and ∠11
d. none of this

Answers

Corresponding angles are angles that are located in the same area at each intersection.

Angles 7 and 3 are vertical angles.

The answer is C, angles 3 and 11 are corresponding angles.

You want to make five-letter codes that use the letters a, f, e, r, and m without repeating any letter. what is the probability that a randomly chosen code starts with a?0.100.150.200.25

Answers

0.2 is the probability that a randomly chosen code starts with a

Answer:

Option C is the right answer

Step-by-step explanation:

The probability that a randomly chosen code starts with A is 0.20

A meteorologist was accurate 90% of the time, reporting accurately on 45 days. how many days of weather did he report? 50

Answers

50 is the answer. 50 x 90% = 45

Which number is prime?

27

14

91

59

Which trinomial is a perfect square trinomial?

a2 – 8a + 64

a2 – 4a + 64

a2 – 4a + 16

a2 – 8a + 16

Answers

59 is the first answer you are looking for and
I believe it is the first one

Final answer:

The number 59 is prime, and the trinomial a^2 - 4a + 4 is a perfect square trinomial.

Explanation:

Prime number: The number 59 is prime because it is only divisible by 1 and itself, while the other numbers have factors other than 1 and themselves.

Perfect square trinomial: The trinomial a2 - 4a + 4 is a perfect square trinomial because it can be factored to (a - 2)(a - 2), making it a square of a binomial.

You buy a bookshelf. The label on the box says the bookshelf is 5151 inches tall. How tall is it in feet?

Answers

It would be 429.25 feet tall

1 foot = 12 inches

so 5151 inches divided by 12 = 429.25 feet tall

that is too tall for a normal house so hopefully you meant 51 inches

51 / 12 = 4.25 (4 1/4) feet tall

Trina and Jessie went on a vacation. Trina went scuba diving with an elevation of -85.6. Jessie went hand gliding with an altitude of 87.9 meters . Which is above sea level

Answers

sea level is at 0

so anything above sea level is positive and anything below sea level is negative. So Jessie, who is at an altitude of 87.9 meters, is above sea level

A rectangle is cut in half along the diagonal to form a triangle. if the area of the triangle is (2x + 10) cm^2, what is the area of the rectangle? Please provide steps and reason for your answer too!

Answers

Since it's literally cut in half, that means the triangle's area is literally half of the rectangle's area. Therefore, if we write it as
the triangle's area (a)=(1/2)*(b) (the rectangle's area) we can multiply 2 to both sides to get 2*a=b. Since a is (2x+10), we can plug it in and use the distributive property (since we just can't add up variables and integers) to get
2*(2x+10)=4x+20=b

PLEASE HELP:::
Louise used this figure to model the expression 20/4.

Answers

did you figure out the answer cause i need it

The answer is C because if it doesn't start at zero, then it wouldn't make 5 groups.

A hose fills a tank at a rate of 20 gallons per minute.

What is the rate in liters per hour?

(1 gallon ≈ 3.79 liters)

Answers

First, you need to know how many gallons will be in the tank after 1 hour. So:

Answer:

[tex]\frac{4548}{1}[/tex] liters per hour.

Step-by-step explanation:

Given : A hose fills a tank at a rate of 20 gallons per minute.

To find : What is the rate in liters per hour?

Solution : We have given

A tank can fill hose in 1 minute = 20 gallon .

1 gallon = 3.79 liters.

20 gallon = 20 * 3.79 = 75.8 liters.

20 gallon = 75 .8 liters.

So,

A tank can fill hose in 1 minute = 75.8 liters.

A tank can fill hose in 60 minute = 75.8 * 60 liters = 4548 liters.

A tank can fill hose in 1 hour = 4548 liters.

Rate = [tex]\frac{4548}{1}[/tex] liters per hour.

Therefore, [tex]\frac{4548}{1}[/tex] liters per hour.

Shen needs to memorize words on a vocabulary list for german class. he has memorized 12 of the words, which is two-thirds of the list. how many words are on the list?

Answers

2/3 of the list = 12

2/3x = 12
x = 12 / (2/3)
x = 12 * 3/2
x = 36/2
x = 18 <=== there are 18 words on the list

there are 40 girls on a softball team. 3 out of every 5 prefer chocolate over vanilla milkshakes .

how many girls prefer chocolate milkshakes

Answers

24 girls prefer chocolate over vanilla.

24 girls prefer chocolate milkshakes out of 40 girls.

Ratio and proportions

From the given information, you can see that we have a total of 40 girls

If 3 out of every 5 prefer chocolate over vanilla milkshakes, hen;

3girls = every 5 prefer chocolate

x = 40 girls

Cross multiply

5x = 3 * 40

5x = 120

x = 24

Hence 24 girls prefer chocolate milkshakes

Learn more on ratio and proportions here: https://brainly.com/question/2914376

Please calculate −0.5(7b−12a)−(8.4a−14b) if a=−10; b=−6.

Answers

The answer to your question would be -39.

An airplane over the Pacific Ocean sights an atoll at an 7° angle of depression. If the plane is 663 m above the water, how many kilometers is it from a point 663 m directly above the atoll

Answers

tangent 7 degrees = 663 / distance

distance = 663 / tan (7)

distance = 663 / 0.12278

distance = 5,400 meters = 5.4 kilometers

are relations always functions

Answers

No. Just because something is related to something, doesn't mean it functions the same way.

No, if a relation fails the vertical line test it's not a function

4/5 - 2/7 find difference

Answers

the difference is 18/35

hope this is what u r looking for

Sorry about the shaky writing

help help help please

Answers

Answers:
The length of XY is 4
The length of ZW is 6

Because we don't get the same length (for XY and ZW), this means that the segments are not congruent.

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

To find the length of segment XY, you can count the number of spaces between -7 and -3 to get 4 units. Or you can subtract and use the absolute value notation to ensure the result is positive

|-7-(-3)| = |-7+3| = |-4| = 4

Do the same for segment ZW.
|2-8| = |-6| = 6

Julie owns a video store. Her monthly expenses, including rent, average $1,168. This year she made $34,416 in revenue. What is the difference between her average monthly revenue and her average monthly expenses?

Answers

Since there are 12 months in a year, we can divide her yearly revenue over 12 to get 34416/12=2868 as her average monthly revenue. Since her expenses are 1168 and difference means subtraction, we subtract 1168 from 2868 (due to that revenue came first in the last sentence of the question) to get
2868-1168=1700

A line passes through the point (4, –2) and has a slope of mc010-1.jpg.

What is the value of a if the point (–4, a) is also on the line?
–6
–5
5
6

Answers

The value of a if the point (–4, a) is also on the line is -6

What is the value of a if the point (–4, a) is also on the line?

If a line passes through the point (4, –2) and has a slope of 1/2, its equation can be written in point-slope form as:

y - (-2) = 1/2(x - 4)

Simplifying the equation gives:

y + 2 = 1/2x - 2

To find the value of a, substitute x = -4 and y = a into the equation:

a + 2 = 1/2(-4) - 2

a + 2 = -4

a = -6

Hence, the value of a is -6

Answers

Answer:

21.2

Step-by-step explanation:

math xl said so

The side length of the smallest square plate is 21.2 units.

What is the Pythagoras theorem?

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Given that, length of diagonal on the square is 30 cm.

Let the side of a square be x.

Now, x²+x²=30²

2x²=900

x²=450

x=√450

x=21.2 units

Therefore, the side length of the smallest square plate is 21.2 units.

To learn more about the Pythagoras theorem visit:

brainly.com/question/21926466.

#SPJ2

Other Questions

Besides France, which two European countries helped the United States during the American Revolution?A) Italy and GreeceB) Portugal and SwitzerlandC) Russia and NorwayD) Spain and the Netherlands An element belonging to the halogen family would be expected to have a ________ ionization energy and a ________ electron affinity. According to Buddhist tradition, Prince Siddartha Guatama passed four sights that later influenced the development of Buddhism. His father had been warned by a fortune teller that his son would abandon his desires if he left the palace and saw suffering. When Prince Guatama left the palace he came into contact with an old man, an ill person, a dead person and a hermit. As a result which Buddhist ideas did he create to get rid of suffering? A)The Koran B)The Cycle of Life C)The Laws of Karma D)The Four Noble Truths Which of the following can complete the expression "Me gustan..." (1 point) Question 3 options: 1) el color azul. 2) la hamburguesa. 3) los deportes PLEASE HELP QUICK GIVING 15 PTS Eloise was teaching her class of fifth graders. She was going to have them complete a specific graphic organizer to help them review and understand a novel. During which level of study would she have learned this technique? Her high school level child development classes. Her Bachelor level education program. Her Masters level administrative studies courses. Her Doctoral dissertation on developmental skills. Which scenario is an example of antisocial behavior? mark intentionally knocks over simon's blocks. jamie offers to share his toys with jill. holly watches while other children jump rope. courtney helps her mom rake leaves in the yard? Onde so encontrados vestgios da civilizao micnica A jet travels 500 miles in 2 hours. At this rate, how far could the jet fly in 8 hours? What is the rate of speed of the jet? Which statement is not an example of a goal of psychological studies? A student has two test scores. the difference between the scores is 44 and the mean, or average, of the scores is 8484. what are the two test scores? The French man best known for fighting alongside the US in the American Revolution A single little brown bat can eat up to 1,000 mosquitoes in a single hour. Express in scientific notation how many mosquitoes a little brown bat might eat in 10.5 hours. andreplaced7/8gallonofwater in a pot near his wood burning stove 1/5 gallon of water evaporates each hour how many hours would it take for the entire pot of water to evaporate What happened to the owl who swallowed a watch It's a math riddle can you answer it? A recent encyclopedia entry about dogs cites multiple research papers done by scientists at veterinary schools. According to the article, Labrador retrievers come in two specific breeds: English and American. The English breed is described as stocky and heavy, while the American breed is described as tall and lanky. The article describes current scientific research as showing that males of both breeds usually weigh about 29-41 kg (65-90 lb), and females weigh 25-32 kg (55-70 lb). Coat colors for both breeds come in solid black, yellow, or chocolate. All labs have strong tails and webbed feet, which help them swim. Devon would like to use this information to determine if his new dog is an English or American Labrador retriever. Which best describes the reliability of the information? In order to beat, the heart needs three types of cells. describe the cells and their function. This summer you and your friends are going to hold a mini water olympics in the community pool. One of your friends is not comfortable using the diving board. What can you do you let your friend participate? A.let your friend start in the pool alone. B. Cancel the diving events for the group. C. Ask your friend to cheer you on. D.allow him to complete in all the other events What role does alcohol play in poe's downfall and descent? What is the measure of What type of verb is the bold word? The plane LANDED safely during the snowstorm. Steam Workshop Downloader