Greggory is trying to raise money for his school's football team by selling T-shirts and sweatshirts. The football team will get $3 for each sweatshirt sold and $4 for each T-shirt sold. The rest of the money goes to paying for the items to be sold. Greggory manages to sell a total of 121 items and the team ends up getting $406.

Answers

Answer 1

# of sweatshirts sold = x = 78
# of t-shirts sold = y = 43

We know:
x + y = 121
3x + 4y = 406

Solve the first equation for x in terms of y, then substitute that into the second equation.

x = 121 - y

3(121 - y) + 4y = 406
363 - 3y + 4y = 406
y + 363 = 406
y = 43

Then solve for x

x = 121 - y
x = 121 - 43
x = 78

Check the math:
3(78) + 4(43) = 234 + 172 = 406

Related Questions

g(x) = х2 — 6x = 12?

Answers

Answer:

amogus

Step-by-step explanation:

Solve the expression for a=12 b=6 and c=3

Answers

Answer:

Step-by-step explanation:

I did the work on my notebook

Answer:

Step-by-step explanation:

c(a+b)-bc

=3(12+6)-6*3

=36+18-18(plus 18 and minus 18 gets cancel)

=36

PLEASE HELP

A
B
C
D
???

Answers

The answer for this would be b

Mr. McGregor has plowed a square plot of land to make a garden. The area of the square garden is 256 ft. To the 2nd power
What is the length of one side of the garden?
Answers:
16 ft
32ft
64ft
128ft

Answers

Answer:

16 ft

Step-by-step explanation:

Area = Side^2 = (s)^2 = 256, Side = 16.

So, 16 ft.

Mark this as Brainliest if this was correct! I really appreciate it! :D

Answer:

16ft

Step-by-step explanation:

Which of the following is an arithmetic sequence?

Answers

Answer: {2, -2, -6, -10}

Arithmetic sequences are defined by a common difference between the numbers that’s both constant and consecutive.

To break it down:

The first option is {-1, 3, -3, -1}, which appears to be alternating, and there is more than 1 difference between the n term values. That is:

-1 to 3 = increase of 4
3 to -3 = decrease of 6
-3 to -1 = increase of 2

Therefore does not follow the definition of an arithmetic sequence.

The second option (the answer) {2, -2, -6, -10} is arithmetic, as it consistently and thus consecutively decreases by 4.

Finally, the last two sequences have the same issue with their pattern, {3, 6, 9, 15}
and {4, 14, 24, 32}. In which they stay constant for the first three n terms, but suddenly change in value on the 4th n term. Therefore, they are not arithmetic.

I hope this helped!

Josh says that −5/4 has the same quotient as 5/−4 . Is this true or false?

Answers

Answer:

true 100%

Step-by-step explanation:

3. Which of the following is not equal to sin(270°)?
(1) cos(180)
(3) -sin (90)
(2) - cos(0)
(4) sin(360)

Answers

I think the answer is 90

PLS HELP ILL MARK AS BRAINLIST AND FOLLOW U

Answers

Answer:

[tex]31\:\text{square units}[/tex]

Step-by-step explanation:

We can break the composite figure into two triangles and two trapezoids. The area of a triangle is given by [tex]A=\frac{1}{2}bh[/tex] and the area of a trapezoid is given by [tex]A=\frac{b_1+b_2}{2}\cdot h[/tex] (average of the bases multiplied by the height).

Area of first triangle (larger triangle to the figure's left): [tex]\frac{1}{2}\cdot 4\cdot 4=8[/tex]

Area of second triangle (smaller triangle to the figure's right ): [tex]\frac{1}{2}\cdot 2\cdot 5=5[/tex]

Area of first trapezoid (smaller trapezoid directly underneath second triangle and adjacent to both triangles): [tex]4\cdot 2 =8[/tex]

Area of first triangle (larger triangle to the figure's left): [tex]5\cdot 2=10[/tex]

Thus, the area of the entire figure is:

[tex]8+5+8+10=\boxed{31\:\mathrm{units^2}}[/tex]

Amanda bought 2 CDs that were each the same price. Including sales tax, she paid a total of $29.80. Each CD had a tax of $1.10 . What was the price of each CD before tax?
brainliest

Answers

Answer:

13.80 there you go buddy

Multiply. Express your answer in simplest form. 2/3 x 5/6. Show work.

Answers

[tex] \frac{5}{9} [/tex]✅

Step-by-step explanation:

[tex] \frac{2}{3} \times \frac{5}{6} \\ = \frac{10}{18} \\ = \frac{5}{9} [/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Find the cosine of 300°. Round your answer to the nearest hundredth, if necessary.
-0.87
-0.5
0.5
0.87

Answers

Answer:

option C . 0.5

Step-by-step explanation:

[tex]cos 300 = cos(2\pi - 300 ) = cos( 360 - 300) = cos 60 = 0.5[/tex]

Using the formula :

[tex]cos\theta = cos (2\pi - \theta )[/tex]

C= 0.5

Step-by-step explanation:

I WILL GIVE BRAINLIEST!!!!!!
Starting at (0,0) if you were to go 5 units left and 6 units up what coordinates would you end up at? What quadrant would you be in?

Answers

Answer:

I think Quadrant 1. I;m not trying to just answer for the points

Step-by-step explanation:

how do I make a box plot

Answers

Answer:

To construct a box plot, use a horizontal or vertical number line and a rectangular box. The smallest and largest data values label the endpoints of the axis. The first quartile marks one end of the box and the third quartile marks the other end of the box

Answer:

this may help

Step-by-step explanation:

A box plot is constructed from five values: the minimum value, the first quartile, the median, the third quartile, and the maximum value. We use these values to compare how close other data values are to them. To construct a box plot, use a horizontal or vertical number line and a rectangular box.

find the area of a circle with a radius of 5 ft

Answers

Answer:

2.5 feet bud hope it helps

pleasee helppppp im so close to being done and this is my last day !!

Answers

ANSWER FOR UR QUESTION!

Graph

Find f(f(x))

Describe the Transformation

Find the Domain of the Composition f(f(x))

Solve for x

Solve the System of Equations

Find the Area Between the Curves

Solve by Graphing

Solve graphically: 2x - y = 7 and x - 2y = 5.

Answers

Answer:

(3, - 1)

Step-by-step explanation:

We want to solve the system of equations:

2*x - y = 7

x - 2*y = 5

graphically.

To do it, we need to graph both lines, it will be easier if we rewrite both lines in a more general way, like in the slope-intercept form:

y = -7 + 2*x

y = -(5/2) + x/2

Now, a solution of the system is a point (x, y) such that the point is a solution to both equations, then, when we graph the lines, as that point belongs to both equations, we should see that both lines pass through that point.

Then to find the solution of the system, we just need to graph the lines and find the point where the lines intersect.

Below, you can see a graph of the lines, and is easy to see that the lines do intersect at the point (3, - 1)

find the measure of the angle of elevation of the sun to the nearest degree, if a 100ft tall building casts a 150ft shadow.

Answers

Answer:

33.7º

Step-by-step explanation:

tan = opp/adj

tan∅ = 100/150 = 2/3

∅ = arctan 2/3

∅ = 33.690067525979787

33.7º

find the volume of the following prism..helpppp pleasee!!!

Answers

Answer:

Step-by-step explanation :The volume V of a prism is V = Bh, where B is the area of the base, h is the height of the prism.To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

Answer:

volume of the prism

(20×12×10)-(8×8×20)

2400-1280

1120 cm³

Find the volume and show work (round to the tenths)

Answers

Answer:

120 km^3

Step-by-step explanation:

the base is a right triangle

A = (leg1 x leg2)/2 = (6 x 8)/2 = 24 km^2

the volume of a prism is base area x height

V = 24 x 5 = 120 km^3

Answer:

2000

Step-by-step explanation:

what is 14.235 rounded to t nearest tenth

Answers

Answer:

14.2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

THE ANSWER IS 14.2

Step-by-step explanation:

Here is an inequality: -2x>10

List some values for x that would make this inequality true.

Answers

Answer:

The right solution is "[tex]x>-5[/tex]".

Step-by-step explanation:

The given inequality is:

⇒ [tex]-2x>10[/tex]

By solving the above expression, we get

⇒ [tex]x >-\frac{10}{2}[/tex]

⇒ [tex]x>-5[/tex]

Thus the above is the correct answer.

y is inversely proportional to x.
When x=9, y = 8.
Find y when x= 6.

Answers

Answer:

y = 12 when x = 6

Step-by-step explanation:

The equation for inverse proportion is

xy = k where k is a constant

Let x = 9 and y = 8

9*8 = k

72 = k

The equation is xy = 72

Let x=6

6*y = 72

Divide each side by 6

6y/6 = 72/6

y =12

Please with explanation

Answers

Answer:

7.5 ,9.1 ans. hhfjvfbhhvvnjgvjki

If these two triangular puzzle pieces are to be made congruent, what must be the measure of angle z?

Answers

Answer:

116

Step-by-step explanation:

180-28=152

152-36=116

Which of the following sets do NOT represent Equivalent expression?

Answers

Answer:

Only B.

Step-by-step explanation:

Only B because 36/12 does not equal to 12/36!

Would you rather (A) Run for 12 minutes at least 10 miles and hour; ... OR ... (B) 20 minutes at 6 miles per hour?

Answers

Its actually the same length. I will choose B so that i can run slower

What is the approximate measure of the length of the tennis court, x? A. 49.9 ft B. 72.0 ft C. 93.1 ft D. 78.0 ft

Answers

b. 72.0 is the answer to this

Jordan is baking brownies and chooses to use a round pan. The diameter of the pan is 12 inches. What is the area of the pan? Round to the nearest tenth.

Answers

You need to show us the shape of pan

WILL GIVE BRAINIEST
Keith writes the numbers 1 to 20 on pieces of paper and places them in a hat. The probability of randomly selecting a number less than 16 is . Choose the likelihood that best describes the probability of this event. A. Neither likely nor unlikely B. Impossible O C. Likely D. Unlikely

Answers

Answer: Likely

Step-by-step explanation: I got it right!

Answer:

C. Likely

Step-by-step explanation:

Hope it helps :)

Answers

Answer
The answer is false

The statement "If |x| = 6, then x can only be equal to 6" is false.

The absolute value of a number represents its distance from zero on the number line.

The expression |x| = 6 means that the distance of x from zero is 6. Therefore, x can be either positive or negative 6.

In this case, x can be either 6 or -6 because both numbers have an absolute value of 6.

Hence, x is not limited to being equal to only 6.

To learn more on Absolute value click:

https://brainly.com/question/4691050

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