Colton sold a total of 28 tee shirts and sweatshirts as a fundraiser for his football team. If tee shirts cost 12 dollars each and sweatshirts cost 20 dollars each and he raised a total of 424 dollars how many tee shirts did he sell?

Answers

Answer 1

Answer:

17

Step-by-step explanation:

Create a system of equations where t is the number of t shirts he sold, and s is the number of sweatshirts he sold

t + s = 28

12t + 20s = 424

Solve by elimination by multiplying the top equation by -20, then adding them together

-20t - 20s = -560

12t + 20s = 424

-8t = -136

Solve for t:

t = 17

So, Colton sold 17 t shirts


Related Questions

find the amount of sap maple syrup producer would have cod from each tree if the total amount (5gallons) was redistributed equally among the trees

Answers

Answer: hi

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

hope is helps <3

(1 point) A certain magical substance that is used to make solid magical spheres costs $800 per cubic foot. The power of a magical sphere depends on its surface area, and a magical sphere can be sold for $70 per square foot of surface area. If you are manufacturing such a sphere, what size should you make them to maximize your profit per sphere

Answers

Answer:

The answer is "[tex]r=0.175 \ ft[/tex]"

Step-by-step explanation:

using formula:

[tex]\to \text{profit = revenue-cost}[/tex]

[tex]\to revenue = 70 \times 4\pi r^2 = 280\pi r^2\\\\\to cost = 800 \times \frac{4}{3} \pi r^3 = \frac{3200}{3} \pi r^3[/tex]

so,

[tex]\to profit (p)= 280\pi r^2 - \frac{3200}{3} \pi r^3\\\\\text{max profit when}\\\\\to 560 \pi r-3200 \pi r^2=0[/tex]

[tex]\to \pi r(560 -3200r)=0\\\\ \to (560 -3200r)=0\\\\\to 3200r=560\\\\\to r=\frac{560}{3200}\\\\\to r=\frac{56}{320}\\\\\to r=\frac{7}{40}\\\\\to r=0.175 \ ft[/tex]  

Write the equation of the graphed line.

Answers

Answer:

y = 1/4x+2

Step-by-step explanation:

y = mx+b where m is the slope and b is the y-intercept.

y = (-1/4)x+2

PLEASEE HELPPP!!! I APPRECIATE ITTTT

Answers

Answer:

this is about a 45 degree angle

Step-by-step explanation:

Could someone help? please the deadline is in 20 min!!!

Answers

Answer:

7.$95 8. $112.50

Step-by-step explanation:

7.

50 divided by 100 is 0.5, then times by 90 is 45.

45 plus 50 is 95.

8.

$150/4=$37.50

$150-$37.50=$112.50

There are 240 calories in 5 ounces of a type of ice cream. How many calories are in 8 ounces of that ice cream?

Answers

there 330 calories in 8 ounces

Answer:

384 calories in 8 ounces of that ice cream

Step-by-step explanation:

240/5= 48

1 ounze  of ice cream has 48 calories

48x8=  384

Write the equation of the circle with a center of (-5, 3) and a radius of 4.
A
(x + 5)2 + (y - 3)2 = 4
B
(x - 5)2 + (y + 3)2 = 4
(X - 5)2 + (y + 3)2 = 16
D
(x + 5)2 + (y - 3)2 = 16

Answers

Answer:

C

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (- 5, 3 ) and r = 4 , then

(x - (- 5))² + (y - 3)² = 4² , that is

(x + 5)² + (y - 3)² = 16 → D

The box-and-whisker plot represents the heights (in meters) of the tallest buildings in Chicago.

a. What percent of the buildings are no taller than 345 meters?

About ____
percent of the buildings are no taller than 345 meters.

Answers

Answer:

75%

Step-by-step explanation:

The answer is 75% because each point/dot, represents 25% of the data.  Below 345 meters are 3 points, therefore 3 * 25% = 75%.

Approximately 75% of the buildings are no taller than 345 meters for the box-and-whisker plot.

What is the box and whisker plot?

A box and whisker plot (also known as a box plot) depicts a five-number summary of a set of data: lowest, lower quartile, median, upper quartile, and maximum.

The box-and-whisker plot represents the heights (in meters) of the tallest buildings in Chicago.

We can see that all three of the data points that are less than or equal to 345 meters are included in the lower half of the box-and-whisker plot, which represents the range from the minimum to the median height.

This means 3 × 25% = 75%.

So, we can estimate that approximately 50% of the buildings are no taller than 345 meters.

To learn more about the box and whisker plot click here:

https://brainly.com/question/2742784

#SPJ2

R
56
30°
T
S
What is the measure of Angle R?
plz help

Answers

Answer:

94

Step-by-step explanation:

180-30-56=94 degrees

a library has 8,000 books and is adding 500 more each year. does the word problem represent a linear or exponential equation??

Answers

Linear

This is because an exponential function increases at an exponential rate. Or, with multiplication.

Linear functions increase at a constant rate, with addition.

Answer:

This problem represents a linear equation.

Step-by-step explanation:

A linear equation is by adding to a certain number, but an exponential equation is multiplying by a certain number.  Therefore, it is a linear equation.

30 men can do a piece of work in 40 days . How long will it take to complete the work if 5 men are reduced? (Ans - 48 days ) Do step by step​

Answers

Answer:

48 days

Step-by-step explanation:

Given that :

30 men can ado a piece of work in 40 days

Assume they work at the same rate, then we it means that ;

1 man will take (30 * 40) = 1200 days to finish the work

Reducing 5 men, means we now have (30 - 5) = 25 men

If ;

1 man takes 1200

25 men will take ;

1200 / 25

= 48 days

5 pts
A 65 inch TV is 65 inches across the diagonal. If the length of
the TV is 57.1 inches wide, how tall is it?

Answers

Answer:

a number

Step-by-step explanation:

The exponential function), whose graph is given below, can be written as h(x) = a•b^x.

Complete the equation for h(x).

Answers

Answer:

Step-by-step explanation:

h(x)=a*b^x

it passes through (0,6) and (1,4)

6=a*b^0

6=a*1

a=6

h(x)=6*b^x

4=6*b^1

b=4/6=2/3

[tex]h(x)=6*(\frac{2}{3} )^x[/tex]

Gina randomly selected students at her school to ask them about their
favorite season. If there are 900 students at Gina's school, how many of
them would choose fall as their favorite season?

Answers

Answer:

252

Step-by-step explanation:

7/25=252/900

Some rational numbers are negative? True or false.

By the way:Give a reason why it is true or false

Answers

Step-by-step explanation:

True

As long as the denominator isn't zero and can be expressed as a fraction with two non zero intergers., the number would be rational

BABES HELP ME OUT HERE OKAY TYSM MUAH MUAH

Answers

Answer:

I really think it's A cause I hust had that same question on my test

Answer:

I think it's A cuz for me, B is just... I don't know about B

State the best term for the given figure in the diagram
1.) F
2.) FE
B
13.) HG
4.) DB
5.) C
6.) BE
7.) DB
8.) AG
Note: Be able to define and draw a picture all all terms used in Chapter 10
In questions 9-10, BC is a radius of OC and AB is a tangent to OC.
Find the value of x
9.)
10.)
96
100
32
Q
56
The points K and M are points of tangency. Find the value(s) of x
11.)
12.)
K
K
3x - 10
4x + 7
.L
17
7x - 8
M M
Page
1 / 5
- +

Answers

Answer:

i dont understand what the question means

Step-by-step explanation:

Find the measure of line segment EF. Please!!

Answers

Answer:

EF = 26

Step-by-step explanation:

From the question, we have that arc EF and arc CD are equal

what this indicates is that the line that bounds these arcs too will be equal

Hence, CD equals EF

Thus;

9x-1 = 41-5x

9x + 5x = 41 + 1

14x = 42

x = 42/14

x = 3

Recall;

EF is 41-5x

EF = 41-5(3)

EF = 41-15

EF = 26

Which sport has the smallest median height?

Answers

Answer:

baseball

Step-by-step explanation:

Answer:

baseball

Step-by-step explanation:

Look at the graph for baseball.  Notice how the median, represented by the vertical line inside the box, is the one farthest to the left of center.  This makes it the smallest median height (about 72.5 inches).

find the arc length if the central angle a = 70°
and the radius is r=55 ft

Answers

Answer:

The arc length should be 67.1952 feet.

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

Triangle ABC is dilated using D as the center of dilation with a scale factor of 1/3

Answers

Answer:

The middle also 9 -8 = 1

Step-by-step explanation:

BRAINLIEST!!!!! PLZ SOLVE BELOW!!!!

Answers

The length is 4.5 inches and the width is 2.5

divide the scale factor 1:16  to the real life lawn measure being 9 inches by 5  inches and that gives us

The length of  inches and  inches

Hope this helps


3. Julissa's rose garden is in the shape of a trapezoid with a height of 35 feet. The bases of
the garden measure 50 feet and 32 feet. What is the area of Julissa's rose garden? *

C. 1,435 square feet

A. 58.5 square feet

B: 1,360 square feet

D. 2,870 square feet

Answers

Answer:

Step-by-step explanation:

i dont nkoe

Look at the question below

Answers

Answer:

y=6x is the answer

Step-by-step explanation:

Answer: y=6x

Step-by-step explanation:

12= (6) 2

24=(6) 4

36=(6) 6

48= (6) 8

So 6 is the correct.

The side lengths of the base of a triangular prism are 5 meters, 8 meters, and 10 meters. The

height of the prism is 16.5 meters.

Answers

Answer:

379.5 square units

Step-by-step explanation:

The computation of the lateral surface area of the prism is shown below;

Here we have to use the following formula

= (a + b+ c) ×h

where

a = 5

b = 10

c = 8

And, h = 16.5

SO, the lateral surface area of the prism is

= (5 + 10 + 8) × 16.5

= 23 × 16.5

= 379.5 square units

An important problem in industry is shipment damage. A pottery producing company ships its product by truck and determines that it can meet its profit expectations if, on average, the number of damaged items per truckload is fewer than 11. A random sample of 19 departing truckloads is selected at the delivery point and the average number of damaged items per truckload is calculated to be 9.4 with a calculated sample of variance of 0.49. Select a 95% confidence interval for the true mean of damaged items.

Answers

Answer:

The 95% confidence interval for the mean is approximately;

(9.063, 9.737)

Step-by-step explanation:

The given parameters are;

The mean of the sample, [tex]\overline x[/tex] = 9.4

The sample variance, s² = 0.49

The sample size, n = 19

The confidence level = 95%

Therefore, we get;

[tex]CI=\bar{x}\pm t_{\alpha/2} \dfrac{s}{\sqrt{n}}[/tex]

The degrees of freedom, df = n - 1

∴ df = 19 - 1 = 18

From the t-table, the critical-t = 2.101

Therefore, we have;

[tex]CI=9.4\pm 2.101 \times \dfrac{\sqrt{0.49} }{\sqrt{19}}[/tex]

Therefore, we have;

9.4 - 2.101×√(0.49/19) < μ < 9.4 + 2.101×√(0.49/19)  

9.0626 < μ < 9.737

∴ The 95% confidence interval for the mean ≈ (9.063, 9.737)

Lines CD and DE are tangent to circle A shown below: Lines CD and DE are tangent to circle A and intersect at point D. Arc CE measures 112 degrees. Point B lies on circle A. If Arc CE is 112°, what is the measure of ∠CDE? (4 points) Question 5 options: 1) 124° 2) 136° 3) 68° 4) 56°

Answers

Answer:

Option (3)

Step-by-step explanation:

By the theorem, angle between two tangents intersecting each other outside the circle is half of the difference between intercepted arcs.

From the figure attached,

Two tangents CD and DE are intersecting each other at point D outside the circle A.

Two intercepted arcs are minor arc CE and major arc CBE,

Measure of arc CE = 112°

Therefore, measure of major arc CBE = 360° - 112°

                                                               = 248°

m(∠CDE) = [tex]\frac{1}{2}(\text{arcCBE}-\text{arcCE})[/tex]

                 = [tex]\frac{1}{2}(248-112)[/tex]

                 = [tex]\frac{1}{2}\times 136[/tex]

                 = 68°

Option (3) will be the correct option.

Answer:

C

Step-by-step explanation:

Type the correct answer in the box. Use numerals instead of words.
From the top of a 300-foot cliff overlooking the ocean, Kelly measures the angle of depression to a boat approaching the shore as 20°.
What is the approximate distance between the boat and the base of the cliff? Round your answer to the nearest whole foot.
feet.
The distance between the boat and the base of the cliff is

Answers

Answer:

824 feet

Step-by-step explanation:

Got it right on Plato

Can somebody plz help answer these questions correctly (only if u done this before) thx :3

WILL MARK BRAINLIEST WHOEVER ANSWER THESE FIRST :DDD

Answers

Answer:

Shown Below

Step-by-step explanation:

WPT = 90

WPV =  30

VPT =  60

VPS = 90

RPS = 60

WPS = 120

QPS =  150

What is the unit rate from 1 1/4 cups of milk in 15 brownies

Answers

Answer:

12

Step-by-step explanation:

divide 15 by 1.25  because 1 1/4 in decimals is 1.25

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