1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marishachu [46]
3 years ago
7

The student council at Sparrowtown High School is making T-shirts to sell for a fundraiser, at a price of $12 apiece. The costs,

meanwhile, are $10 per shirt, plus a setup fee of $72. Selling a certain number of shirts will allow the student council to cover their costs. How many shirts must be sold? What will the costs be?
(Algebra 2)
Mathematics
1 answer:
alexira [117]3 years ago
6 0
Answer: 36 shirts and costs $432
step by step:
first make an equation with the amount of sold shirts being equal to cost of making them -
12x=10x+72 where x is the number of shirts
then, subtract 10x from 12x to get the variable on the same side -
2x=72
finally, divide by 2 to isolate x
x=36 shirts
to figure out the cost, substitute 36 for x in 10x+72
10(36)+72= 360+72= $432
You might be interested in
In science class, Logan estimates the volume of a sample to be 42 mL. The actual volume of the sample is 48 mL. Find the percent
galina1969 [7]

Answer:

Percent of error of Logan's Estimate is 12.5%

Step-by-step explanation:

Given:

Actual Volume of sample =48 mL

Estimated Volume of sample = 42 mL

We need to find the percent errors of Logan estimate.

To calculate percent of error below are the steps.

Step 1: Subtract the Actual value from the estimated value.

Step 2: Take the absolute value of step 1

Step 3: Divide that answer by the Actual value.

Step 4: Multiply that answer by 100 and add the % symbol to express the answer as a percentage.

Now Substituting the values we get;

Step 1: To Subtract Actual Volume with Estimated Volume

Estimated Volume of sample - Actual Volume of sample = 42 - 48 = -6 mL

Step 2: Find Absolute value we get;

|-6| = 6

Step 3 : Divide that answer by the Actual volume.

\frac{6}{48}=0.125

Step 4: Multiply that answer by 100 and add the % symbol to express the answer as a percentage.

0.125\times 100 = 12.5\%

Hence Percent of error of Logan's Estimate is 12.5%

5 0
3 years ago
Ellen must take 4 courses this semester. She has a list of 3 math courses and 4 science courses to from which to choose. (a) Ini
prisoha [69]

Answer:

So the number of total combinations is 35.

Step-by-step explanation:

We know that Ellen must take 4 courses this semester. She has a list of 3 math courses and 4 science courses.  

Therefore, she have total 7 courses.  

So, we calculate the number of combinations to choose 4 out of 7  courses.

We get:

C_4^7=\frac{7!}{4!(7-4)!}=35\\

So the number of total combinations is 35.

7 0
3 years ago
A rectangular goat pen has an area of 40 square meters. Its perimeter is 26 meters. What are the dimensions of the pen?
xxMikexx [17]
Let the dimensions be x and y

Given that the area is 40m²
xy = 40 ----------------- (1)

Given that the perimeter is 26
2(x + y) = 26
x + y = 13
x = 13 - y ---------------- Sub into (1)

(13 - y)y = 40
13y - y² = 40
y² - 13y + 40 = 0
(y - 8)(y - 5) = =
y = 8 or y = 5

The dimensions are 8 meters and 5 meters 
4 0
3 years ago
-8 = x divided by 4 + 3
Diano4ka-milaya [45]

Answer:

x = -44

Step-by-step explanation:

-8 = x/4 + 3

-8 - 3 = x/4 + 3 - 3

-11 = x/4

-11 x 4 = (x/4) x 4

-44 = x

7 0
3 years ago
What is the slope of the line that passes through the points (7, -4) and (7, 0)? Write your answer in the simplest form.
olga55 [171]

Answer:

The slop is undefined

i.e. m=\infty

Step-by-step explanation:

Considering the slope formula

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

As the points are (7, -4) and (7, 0)

Here:

  • (x₁, y₁) = (7, -4)
  • (x₂, y₂) = (7, 0)

\mathrm{When\:}y_1\ne \:y_2\mathrm{\:and\:}\:x_1=x_2\mathrm{\:the\:slope\:is\:}\infty

so

  \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

            =\frac{\left(0-\left(-4\right)\right)}{\left(7-7\right)}

             =\frac{0-\left(-4\right)}{0}

             =\infty    

Therefore, the slop is undefined i.e. m=\infty

5 0
3 years ago
Other questions:
  • Will earned 750 per week if he earns 20 per hour how many hours did he work?
    10·2 answers
  • Rafaela is a physical education teacher and has 25 girls and 35 boys in her class. She wants to divide the class into teams of t
    15·1 answer
  • What is the answer to this problem triangle
    12·2 answers
  • During a normal day, there are 280 planes taking off the airport, but the airport is a lot busier during Christmas. During the C
    10·2 answers
  • Please answer question if false will be removed
    11·1 answer
  • Please help on all of the questions due in 30 min
    8·1 answer
  • A truck’s position relative to a car’s position is -60 feet. The car and the truck move in the same direction, but the car moves
    8·1 answer
  • Please help me !!!!!!!!!!!!!
    11·1 answer
  • Use the drop-down menus to complete each statement about the functions f and g
    6·2 answers
  • Solve c2-4c3=25 by completing the square
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!