8) It costs a band $8 per T-shirt produced. At a small festival the band gives away 10 T-shirts, and sells others for $20 each. Their total T-shirt-related profits (taking into account those they gave away) is $304, how many T-shirts did the band sell?

Answers

Answer 1

if the t-shirts cost $8 to make, and the band sells them for 20$ they make a profit of $12 a shirt.

if after the concert, their profit is 304$ then I believe the way to solve it would be 304/12 which equals 25.3
However, they did not make a profit off of the 10 shirts that they gave away. 10*12 equals 120
304-120 equals 184
184/12 equals 15.
Your answer should be either 25 or 15

Answer 2

32 T-shirts. First, let's make an expression to handle the situation. "costs $8 per T-shirt produced" p = -8n "gave away 10 T-shirts" p = -8(n+10) "sells others for $20 each." p = -8(n+10) + 20n "total T-shirt-related profits is $304" 304 = -8(n+10) + 20n Now solve for n 304 = -8(n+10) + 20n 304 = -8n - 8*10 + 20n 304 = - 80 + 12n 384 = 12n 384 = 12n 32 = n So the band sold 32 T-shirts.

Related Questions

Vince has 16 beads. How many different arrays can Vince draw to represent the total number of beads he has? List the sizes of the arrays.

Answers

There are 36 different arrays that Vince can draw to represent the total number of beads he has. The sizes of the arrays range from 1 to 16 beads.

To find the different arrays Vince can draw to represent the total number of beads he has, we need to consider all the possible ways he can arrange the beads. Essentially, we are looking for all the possible partitions of 16.

A partition of a number represents the different ways it can be expressed as a sum of positive integers. In this case, we want to find all the partitions of 16.

To do this, we can list all the possible sizes of arrays that Vince can draw. Here are the possible sizes:

15 + 1

14 + 2

13 + 3

12 + 4

11 + 5

10 + 6

9 + 7

8 + 8

14 + 1 + 1

13 + 2 + 1

12 + 3 + 1

11 + 4 + 1

10 + 5 + 1

9 + 6 + 1

8 + 7 + 1

12 + 2 + 2

11 + 3 + 2

10 + 4 + 2

9 + 5 + 2

8 + 6 + 2

7 + 7 + 2

10 + 3 + 3

9 + 4 + 3

8 + 5 + 3

7 + 6 + 3

6 + 6 + 4

9 + 3 + 3 + 1

8 + 4 + 3 + 1

7 + 5 + 3 + 1

6 + 6 + 3 + 1

8 + 3 + 3 + 2

7 + 4 + 3 + 2

6 + 5 + 3 + 2

5 + 5 + 4 + 2

7 + 3 + 3 + 3

6 + 4 + 3 + 3

5 + 5 + 3 + 3

4 + 4 + 4 + 4

So, there are 36 different arrays that Vince can draw to represent the total number of beads he has. The sizes of the arrays range from 1 to 16 beads.

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Jeremy earns $234 for 36 hours of work. Miguel earns $288 for 40 hours of work . Are the pay rates of these two people proportional?

Answers

The pay rates of these two people are not proportional because if you divide 234 by 36 and 288 by 40, it is shown that Miguel earns $7.20 every hour and Jeremy earns $6.50 per hour. Thus, the pay rates of these two people are not proportional.

1. Refer to the equation 2x − 6y = 12.
(a) Create a table of values for at least 4 points. Show your work.
(b) Use the table of values to graph the line.

Answers

X values: 12,15,18,21
Y values: 2, 3, 4, 5

They go with each other.
2(12)-6(2)=12
1) 24-12=12
2(15)-6(3)=12
2) 30-18=12
2(18)-6(4)=12
3) 36-24=12
2(21)-6(5)=12
4) 42-30=12

sarah has sold $33 worth of tickets sales to the comedy show. She has 4 tickets left to sell at $11 per hour

Answers

The equation would be y=11x+33.

The x can be 0, 1, 2, 3, 4. It cannot be any other number than these 5.
Y is just whatever you get when you plug the x in for 0, 1, 2, 3, or 4

Answer:

The domain of the function is {0,1,2,3,4} and the range of the function is {$33, $44, $55, $66, $77}

Step-by-step explanation:

Consider the provided information.

Sarah has sold $33 worth of tickets sales to the comedy show. She has 4 tickets left to sell at $11 per hour.

First write the function as shown.

Let the number of tickets are x and she already sold $33 worth of tickets.

Therefore the function is: [tex]f(x)=11t+33[/tex]

For t=0

[tex]f(0)=11(0)+33=33[/tex]

For t=1

[tex]f(1)=11(1)+33=44[/tex]

For t=2

[tex]f(2)=11(2)+33=55[/tex]

For t=3

[tex]f(3)=11(3)+33=66[/tex]

For t=4

[tex]f(4)=11(4)+33=77[/tex]

Hence, the domain of the function is {0,1,2,3,4} and the range of the function is {$33, $44, $55, $66, $77}

Diana and Sujit clean homes for a summer job they charge $70 for the job plus 5% for supplies. A homeowner gave them a 15% tip. Did they receive more than $82 for their job? Explain.

Answers

I'm sorry I don't know that

Write the equation of a line with slope m that passes through the origin

Answers

This is the negative reciprocal of the slope. The solution can be obtained by solving y=−0.5x+b using the information given. It is also worth knowing that if the line passes through the origin, the y intercept is already determined (it is 0 since the linewill pass through the y axis at 0)

Which best describes the set of odd numbers between zero and ten?

Null set

{-9,-7,-5,-3,-1,1,3,5,7,9}

{1,3,5,7,9}

All real numbers

Answers

I believe it is all real numbers, but get an approval from someone else first

25/28=375/x. Use equivalent ratios to solve the proportion.

Answers

x=420. You can find this by cross multiplying.

Tony is the best pizza delivery man in the city. He has been offered a job from Pizza Tent, which has given tony his pay options in the following function. S represents Tonys salary, and p represents the number of pizzas he delivers. S= 2.75 + 52

Answers

S= $54.75

Do you have to solve to get p?

Jose paid $47.00 for 4 movie tickets. Each ticket cost the same amount. What was the cost of each movie ticket in dollars and cents?

Answers

Each ticket costed 11.75$

$11.75

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Find the distance from the point (4, 1, −1) to the plane x − 2y + 2z + 3 = 0

Answers

I believe the answer is -17????

Distance from point (4,1,-1) to plane x-2y+2z+3 = 0 is 1. The formula for the distance from a point to a plane is d = abs(Ax + By + Cz + D) / sqrt(A^2 + B^2 + C^2) where d = distance (x,y,z) = coordinates of point A,B,C,D = coefficients of equation for the plane For this problem, the values for A,B,C,and D are A=1, B=-2, C=2, and D=3. So substituting the known values into the equation, we get: d = abs(1*x - 2*y + 2*z + 3) / sqrt(1^2 + (-2)^2 + 2^2) d = abs(1*4 - 2*1 + 2*(-1) + 3) / sqrt(1 + 4 + 4) d = abs(4 - 2 - 2 + 3) / sqrt(9) d = abs(3) / 3 d = 1

Max makes and sells posters. The function p(x)= -10x^2 +200x -250, graphed below, indicates how much profit he makes in a month if he sells the posters for 20-x dollars each. (Picture in comments) What should Max charge per poster to make the maximum profit, and what is the maximum profit he can make in a month? A: $800 at $10 per poster B: $800 at $5 per poster C: $750 at $10 per poster D: $750 at $5 per poster

Answers

Here is our profit as a function of # of posters
p(x) =-10x² + 200x - 250
Here is our price per poster, as a function of the # of posters:
pr(x) = 20 - x
Since we want to find the optimum price and # of posters, let's plug our price function into our profit function, to find the optimum x, and then use that to find the optimum price:
p(x) = -10 (20-x)² + 200 (20 - x) - 250
p(x) = -10 (400 -40x + x²) + 4000 - 200x - 250
Take a look at our profit function. It is a normal trinomial square, with a negative sign on the squared term. This means the curve is a downward facing parabola, so our profit maximum will be the top of the curve.
By taking the derivative, we can find where p'(x) = 0 (where the slope of p(x) equals 0), to see where the top of profit function is.
p(x) = -4000 +400x -10x² + 4000 -200x -250
p'(x) = 400 - 20x -200
0 = 200 - 20x
20x = 200
x = 10
p'(x) = 0 at x=10. This is the peak of our profit function. To find the price per poster, plug x=10 into our price function:
price = 20 - x
price = 10
Now plug x=10 into our original profit function in order to find our maximum profit:
p(x)= -10x^2 +200x -250
p(x) = -10 (10)² +200 (10) - 250
p(x) = -1000 + 2000 - 250
p(x) = 750

Correct answer is C)

Answer:

$750 at $10 per poster

Step-by-step explanation:

At 5 a.m., the temperature at an airport was −9.4°F . Six hours later, the temperature was 2.8°F . Which expression represents the total temperature change over the six hours?

|2.8−(−9.4)|
−9.4+2.8
|−9.4+2.8|
|2.8+(−9.4)|

Answers

-9.4 + x6 = 2.8 this is an equation for the question

Answer:

Your answer is B

What is the estimat of 1,537×242 need answer aspA

Answers

Round 1,537 to 1,500
Round 242 to 250
1,500 x 250 = 375,000

what I do to solve these problems is you solve the equation and if the answer you got from solving the equation isn't there then choose the answer that is closest to your answer.

Sharon called 3 friends on Friday. On Saturday, each of those 3 friends called 3 different friends. On Sunday, each person who was called on Saturday called 3 different people.

How many friends were called on Sunday?

Answers

there was 27 people called on Sunday because its
3 x 3 = 9 for Saturday
then 9 x 3 = 27 for Sunday

The number of friends that were called on Sunday are 27 friends.

On Friday, the number of friends Sharon called = 3 friends

On Saturday, the number of each of those 3 friends called 3 different friends.

Therefore the number of friends on Saturday = 3×3

= 9

The number of friends called on Sunday = 9 × 3

= 27

Therefore the number of friends called on Sunday= 27

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Mariah borrowed 15 books from the library last month. She's already read 2/5 of them. How many of the 15 books has she read?

Answers

She has read 6 of the books from the library.

The answer is: "6 (six) books" .
___________________________________________
Explanation:
___________________________________________
The number of books is: "(⅖)*15" .
___________________________________________
Method 1)
___________________________________________
[tex] \frac{2}{5} [/tex] * 15 = [(15 ÷ 5) * 2] = 3 * 2 = 6 .
___________________________________________
Method 2)
___________________________________________

[tex] \frac{2}{5} [/tex] * 15 ;

= [tex] \frac{2}{5} [/tex] * [tex] \frac{15}{1} [/tex] ;

= [tex] \frac{2*15}{5*1} [/tex] = [tex] \frac{30}{5} [/tex] = 6 .
_________________________________________________

Method 3)
_________________________________________________
[tex] \frac{2}{5} [/tex] * 15 ;

= [tex] \frac{2}{5} [/tex] * [tex] \frac{15}{1} [/tex] ;

→ At this point, we can "cancel out" the "5" to a "1"; &
we can "cancel out" the "15" to a "3" ;

→ {Since: "15 ÷ 5 = 3" ; and since: "5 ÷ 5 = 1"}.

→ And rewrite as: = [tex] \frac{2}{1} [/tex] * [tex] \frac{3}{1} [/tex] ;

  → At this point, we can rewrite as:

" 2 * 3 " ; and: "2 * 3 = 6 " .

→ {since: "any value, divided by "1", equals that same value};

As such: " [tex] \frac{2}{1} [/tex] = 2 "; AND: [tex] \frac{3}{1} [/tex] = 3 .

→ So: [tex] \frac{2}{1} [/tex] * [tex] \frac{3}{1} [/tex] = {2 * 3} = 6 .

→ Alternately, we can continue as follows:

[tex] \frac{2}{1} [/tex] * [tex] \frac{3}{1} [/tex] ;

= [tex] \frac{2*3}{1*1} [/tex] = [tex] \frac{6}{1} [/tex] = 6 .
______________________________________________________

Method 4)
_____________________________________________________

[tex] \frac{2}{5} [/tex] * 15 ;

= [tex] \frac{2}{5} [/tex] * [tex] \frac{15}{1} [/tex] ;

= [tex] \frac{2*15}{5*1} [/tex]

→ At this point, we can "cancel out" the "15" in the numerator to a "3"; & we can "cancel out" the "5" in the denominator to a "1" ;
{Since: "15 ÷ 5 = 3" ; and since: "5 ÷ 5 = 1" ;

→ and rewrite as follows:

→ [tex] \frac{2*3}{1*1} [/tex] ;

→ At this point: since: "2 * 3 = 6" ; & since "1*1 = 1" ;

We can rewrite as:

→ [tex] \frac{2*3}{1*1} [/tex] = [tex] \frac{6}{1} = 6 .

Alternately, at the point when we have:

→ [tex] \frac{2*3}{1*1} [/tex] ;

→ We can ELIMINATE the "denominator" completely;
Since the denominator, "(1*1)" is equal to "1" ; and since any value (e.g. the "numerator"); divided by "1" (e.g. the value of the denominator); equals the same value (e.g. that same value of the numerator);

As such, we can rewrite; and simplify; our expression (as follows):

→ [tex] \frac{2*3}{1*1} [/tex] = { 2 * 3 } = 6 .
_________________________________________________

Method 5)
_________________________________________________

[tex] \frac{2}{5} [/tex] * 15 = ?

→ Convert "[tex] \frac{2}{5} [/tex]" to a decimal value:

Note: [tex] \frac{2}{5} [/tex]  = ? / 10 ???

What value belongs in the "question mark" ??

→ Let us examine the denominators.

We have "5" and "10".
→ 5 * (what value?) = 10? (answer: "2" , by recognition);

→Nonetheless, to get that value: "10 ÷ 5 = ? " ; The answer is: "2" ;

→ To confirm: "5 * 2 =? 10? Yes!

→ As such: [tex] \frac{2}{5} [/tex] ;

= [tex] \frac{2*2}{5*2} [/tex] ;

= [tex] \frac{4}{10} [/tex] ;

Convert this value to a decimal value;

   → 4/10 = 4 ÷ 10 ;
  → To divide by "10" ; Take the decimal value (The decimal value in "4" is considered the value "directly after the "4"); and move that value backward ONE decimal space; {since we are DIVIDING by "10" ; and "10" has ONE "zero"}; to get: ".4" ; → Write as: "0.4"  ;

→ [tex] \frac{2}{5} [/tex] = [tex] \frac{4}{10} [/tex] = 0.4 .

Alternately, use a calculator to convert "[tex] \frac{2}{5} [/tex]" to a decimal value:

  → [tex] \frac{2}{5} [/tex] = 2 ÷ 5 = 0.4 .

Now, we can rewrite:

→ [tex] \frac{2}{5} [/tex] * 15 ;

as: "(0.4)(15)" ; & calculate:

  → (0.4)(15) = 6 .
_______________________________________________

The answer is: "6 (six) books" .
_______________________________________________

your dog's water bowl is 3/4 full. After taking a drink, the water bowl is 1/3 full. what fraction of the bowl did your dog drink?

Answers

the answer is 5/12 because you simplify it to the least denominator and that get you 9/12 - 4/12
9-4
--------- = 5/12
12

Let amount of water that , my dog's water bowl can hold=x cubic unit

Level of water upto which my dog's water bowl is filled

[tex]=\frac{3x}{4} \text{Cubic unit}[/tex]

Let amount of water drank by my Dog in a drink=y cubic unit

Writing the statement in terms of equation

[tex]\frac{3x}{4}-y=\frac{x}{3}\\\\y=\frac{3x}{4}-\frac{x}{3}\\\\y=\frac{9x-4x}{4 \times 3}\\\\y=\frac{5x}{12}[/tex]

Fraction of the bowl did my dog drank is equal to [tex]\frac{5}{12}[/tex]

3ax+2b/c=4d solve x answer

Answers

x= -2b/3ac + 4d/3a
Solve for x by simplifying both sides of the equation then isolating the variable

Let's solve for x.3ax+2bc=4dStep 1: Multiply both sides by c.3acx+2b=4cdStep 2: Add -2b to both sides.3acx+2b+−2b=4cd+−2b3acx=4cd−2bStep 3: Divide both sides by 3ac.3acx3ac=4cd−2b3acx=4cd−2b3ac

which of the following uses a variable to represent a person a place or thing that is unknown

Answers

Ah, I think you may have forgotten to include something in your question, but any letters are likely the variables of which they speak.

Answer: Mr. X

Step-by-step explanation: Unknown Person (variable)

The table shows the low temperatures in Alto for 5 days.What is the average low tempreature

Answers

If you add all the numbers on the right together you get -35 then you divide by 5 which gives you the average of -7*F

Suzanne can work 10 math problems in 15 minutes. How many can she work in an hour and a half?

Answers

135 problems
or 60 problems

90/15=9

9*10=90

so your answer would be 90

Use properties of equality to solve these equations. Identify the properties used and describe how you used them.
(–5 • 7)25 = x(7 • 25)

Answers

step 1 Distributive step 2 Multiplication property of equality step 3 Multiplication property of equality.step 4 Division property of Equality The answer would be 125=x

How to add 3/5 and 1/10 in simplest form

Answers

Find a common denominator and then add.
3/5=6/10
6/10+1/10=7/10

to add these you must have a common denominator. In this case 10 will work because both 5 and 10 can evenly go into 10. Now whatever you multiplied the bottom by to get 10 you must do the same to the top. This is shown below:
3/5+ 1/10 = 6/10+ 1/10
You can now add these together to get 7/10. This is also in the simplest form.

Starting at sea level, a submarine descended at a constant rate to a depth of − 4/5 mile relative to sea level in 3 minutes.

What was the submarine's depth relative to sea level after the first minute?

Answers

if it were 4 then it would be 1 1/3 for one minute

Answer:

[tex]\texttt{Submarine's depth relative to sea level after the first minute = }-\frac{4}{15} miles[/tex]

Step-by-step explanation:

Starting at sea level, a submarine descended at a constant rate to a depth of −4/5 mile relative to sea level in 3 minutes.

Total time = 3 minutes

[tex][tex]\texttt{Total depth descended in 3 minutes = }-\frac{4}{5}miles[/tex][/tex]

We need to find what was the submarine's depth relative to sea level after the first minute,

[tex]\texttt{Depth descended in per minute = }-\frac{\frac{4}{5}}{3}=-\frac{4}{15}miles[/tex]

[tex]\texttt{Submarine's depth relative to sea level after the first minute = }-\frac{4}{15}\times 1=-\frac{4}{15} miles\\\\\texttt{Submarine's depth relative to sea level after the first minute = }-\frac{4}{15} miles[/tex]

Let a, b, c, and d be constants. Describe the possible solution sets of the inequality ax+b

Answers

Final answer:

An inequality's solution set is determined by its specific properties. For a quadratic inequality, it can be solved by first finding the roots with the quadratic formula and then testing ranges between the roots to see where the inequality holds.

Explanation:

The question seems a bit incomplete, as there is no inequality provided related to constants a, b, c, and d. Typically, if we had a complete inequality, the solution set would depend on the specifics of the inequality. For instance, if we took a quadratic inequality, ax²+bx+c>0, or ax²+bx+c<0, we would solve it by finding the roots using the quadratic formula (-b ± √b² - 4ac) / 2a, which gives us the values of x where the expression equals zero, and testing regions determined by these roots to find where the inequality holds. However, without a specific inequality provided, it's difficult to describe the possible solution sets accurately.

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Marco wants to set up 12 small turbines with 3 blades each.If 4 wind turbines blades cost $79.64,how much will all the blade cost?

Answers

Hello!

If Marcos has 12 turbines with 3 blades / turbine, then 36 blades. If 4 blades cost $ 79.64, then how much do the 36 blades cost?

Let's make a simple three rule:

Blade ___ price

4 ----------- 79.64
36 --------- y

4 * y = 36 * 79.64
4y = 2,867.04
[tex]y = \frac{2,867.04}{4} [/tex]

y = 716.76

The 36 blades cost $ 716.76

If Marco wants to set up 12 small turbines with 3 blades each. If 4 wind turbines blades cost $79.64 then $716.76 costs for all blades.

What is Equation?

Two or more expressions connected with an equal sign is called ad equation.

Given Marco wants to set up 12 small turbines with 3 blades each. If 4 wind turbines blades cost $79.64, then we have to find the cost of all blades.

Each turbine has 3 blades, so for 12 tubines we have

3×12=36 blades.

If 4 blades cost is $79.64, then we have to find cost of 36 blades.

Let y be the cost of 36 blades.

4 /36= 79.64/y

Use cross multiplication,

4 * y = 36 * 79.64

4y = 2,867.04

y=716.76

Therefore 36 blades cost is $ 716.76.

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FILL IN THE BLANK 1. x-7>10 X>______ 2. 3x ≤ 21 x ≤_____ 3. 5a-2<18 a<_____ 4. 2t + 8 ≥ -4(t+1) t≥______

Answers

are you converting to interval notation or solving for x?

Answer with Step-by-step explanation:

1. x-7>10

Adding 7 on both sides,we get

x>17

2. 3x ≤ 21

Dividing both sides by 3,we get

x≤7

3. 5a-2<18

Adding 2 on both sides, we get

5a<20

Dividing both sides by 5,we get

a<4

4. 2t + 8 ≥ -4(t+1)

Distributing -4 on right hand side of inequality

2t+8 ≥ -4t-4

2t+4t ≥ -4-8

6t ≥ -12

Dividing both sides by 6, we get

t ≥ -2

Max's bill at a restaurant is $8.67. He uses the following method to figure out a tip of about 15%. Round the amount of the bill to the nearest ten cents. Move the decimal point one place to the left. Then find half of the result. Add the last two answers and round to the nearest five cents. How much will the tip be for the bill? Why does Max's method work?

Answers

x=1.30 is the answer! hope its not too late to help

Rami bought 4 pairs of jeans his total bill including tax was $80.29 if each pair of jeans costs $18.50 before tax was added what tax rate did rami pay on the jeans

Answers

So first what you have to do is divide $80.29 by four that should be 18.50 plus tax then you subtract that amount from 18.50 to find your tax amount which is 1.5725 then what you do is you turn that number as a percentage that will be your answer

Answer:157.25% hope im correct

I basically did $18.50 x 4 = $64.00 then I subtracted $80.29 - $64.00 = $16.29

So the tax was $16.29

I hope this helped you!

HELP ASSAP WITH THIS QUESTION

Answers

y= 1/2x + 2 is the answer

the easiest way to determine the equation of this line is to
1) determine the y-intercept, and
2) use the given slope to come up with another point on the line.

Looking at the graph, you can easily see that the graph crosses the y-axis at (0,2). Thus, the y-intercept is 2.

Now let's determine the slope of this line:

Begin at the point (-4,0) (which happens to be the x-intercept).

Move 4 units from there to the right. How many units UP must you then travel to reach the graph? call this "m."

Then the slope is m/4.

Then the equation of the line is y = mx + b, or

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

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