Students in an environmental science class raised money to buy plants for a community garden. The students raised money by selling regular cupcakes for $2.00 each and gluten-free cupcakes for $3.00 each. The number of regular cupcakes sold was determined to be 2 times the number of gluten-free cupcakes sold. If a total $350 was raised through cupcake sales over a three-week period, how many cupcakes were sold altogether

Answers

Answer 1

Answer:

50 gluten-free cupcakes and 100 regular cupcakes.

Step-by-step explanation:

Let's define the variables:

R = number of regular cupcakes sold

G = number of gluten-free cupcakes sold

The total amount of money raised then is:

M = R*$2.00 + G*$3.00

We also know that:

The number of regular cupcakes sold was 2 times the number of gluten-free cupcakes sold.

then:

R = 2*G

And we also know that the amount of money raised is $350

Then we have the equations:

R = 2*G

R*$2.00 + G*$3.00 = $350

We can replace the first equation into the second one, so we have only one variable:

(2*G)*$2.00 + G*$3.00 = $350

Now we can solve this for G.

G*$4.00 + G*$3.00 = $350

G*$7.00 = $350

G = $350/$7.00 = 50

G = 50

50 gluten-free cupcakes where sold.

And using the equation:

R = 2*G = 2*50 = 100

We can conclude that 100 regular cupcakes were sold.


Related Questions

What is the mean absolute deviation of the data set?
{12, 17, 12, 8,6)

Answers

Answer:The mean absolute deviation of the set of data is

2.24

.

Step-by-step explanation:

Can someone help me. Can you show work. Please don’t answer anything that isn’t related, I’ll report or flagged you if u do.

Answers

Answer:

Yes, Chris will score.

Step-by-step explanation:

To get the ball in the goal, the ball must be below 8ft (the height of the goal) when the ball passes the 25ft mark; ie, Chris will score if f(x)<8 when x=25:

f(x)=-0.05(x-16)²+11

f(25)=-0.05(25-16)²+11

=-0.05(9²)+11

=-0.05(81)+11

=11-4.05

=6.95

Since 6.95<8, we can see that Chris will score if Deshawn doesn't block the ball.

Please fill this all im for 20 points! <3 :)

Answers

Answer:

Step-by-step explanation:

1) Regular price = $ 20

Reduction  = 18% of regular price

                 = 0.18 * 20

                 = 3.6

Discount price = 20 - 3.6 = $ 16.4

2) Regular price = $ x

Reduction  = 18% of regular price

                 = 0.18 * x

                 = 0.18x

Discount price =$ (20 - 0.18x)

3) Discount price = $ 18.45

Let the regular price be x

(100 - 18)%  of x = 18.45

           82% of x = 18.45

          [tex]\frac{82}{100}*x=18.45\\\\ x = 18.45* \frac{100}{82}\\\\ x = 22.50[/tex]

Regular price = $22.50

I need help again haha

Answers

Answer:

15⁰

Step-by-step explanation:

a straight line is 180⁰. 180-165=15

Step-by-step explanation:

Since a line is 180°, we can add 165 to x equal to 180

[tex]165+x=180[/tex]

[tex]x=15[/tex]

Hope that helps :)

Matheng or anyone else I need your help
Mike, a local auto mechanic, charges a certain amount to diagnose and repair a car. He bases his price on the amount of time that it takes for the repair. Use the graph shown below to fill out the missing representations. Then, answer the questions that follow.
Can you also answer questions and 2 at the bottom.

Answers

Answer:

Okay ill do it from the ones given

Verbal Description:

Well it seems like Mike is charging a one time fee of 50 dollars each no matter what and after that its 30 dollars per hour.

Equation:

Assuming X is hours and C is total cost

50+30x= C

Table: (this will be in the order of hours, process and total)

0- (50+30*0) -0

1- (50+30*1) -80

2- (50+30*2) -110

3- (50+30*3) -140

4- (50+30*4) -170

5- (50+30*5) -200

6- (50+30*6) -230

Graph:

There are no instructions or questions for graph but if there is let me know in the comments

Questions:

#1) The rate of change for the graph is 30 dollars per hour or 30/1. Since for every hour its +30 plus the one time fee.

#2) The y-intercept here is 50 or in this case the one time payment fee.

Please help me! due today!

Answers

its 44 cause 10+16+18=44

if u need more help tell me

which angles are congruent to each other​

Answers

Answer:

Angles that are vertical or across from each other are congruent or equal.

Krysta knit a total of 16 centimeters of scarf over 8 nights. How many nights will Krysta have
to spend knitting in order to knit a total of 46 centimeters of scarf? Assume the relationship is
directly proportional.
nights

Answers

Answer:

23 nights

Step-by-step explanation:

What does "Proportional" Mean? Proportional means that the ratio is the same throughout.

Step One: First, to set this up, we will put the 16 centimeters for the numerator and then the 8 nights on the bottom. The bottom is the independent variable because we can't physically change the number of nights. 16/8.

Step Two: Now, we have to scale this up to 46. Because the 46 is the centimeters, we have to do 46/16 to see how much we need to scale it by: 46/16= 2.875.

Step Three: Lastly, we can multiply 8 by 2.875 to see how many nights it took: 8 times 2.875 is 23 nights.  

The equation of a circle is given as x2+ax+y2+by=c where a, b, and c are constants. The radius of the circle is given by the expression
(a2)2+(b2)2+c

a+b+c

(a2)2+(b2)2

c√

Answers

B because if the circle has a radius of x2 the 1/2 of that would be a+c bringing in c to become abc or a+b+c

Answering actually A

Step-by-step explanation:

Finding missing angles
180°
35°
X

Answers

Answer:

90 degree and 55 degree

plz mark me as brainliest

please help me! i’m so confused!!

Answers

ok

a I'm sure

14*7*8

Step-by-step explanation:

we should multiple everything

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Figures are the same size and shape

Which of the fractions is equivalent to 2/5?

Answers

Answer:

4/10, 6/15, 8/20, 10/25

Step-by-step explanation:

Which fraction is equal to ⅛?
⁴⁄₆ ⁴⁄₃₀ ²⁄₁₆

Answers

Answer:

2/16

Step-by-step explanation:

1/8 * 2/2 = 2/16

Answer:

2/16

Step-by-step explanation:

Hope this helped!!!

hi, I need to send you a screenshot​

Answers

I mean guess why not :)

Given the following data, find the weight that represents the 28 percentile​

Answers

Answer:

so I just tried to find the mean (average) and it was: 6.3

Jaheem had $15, but he spent $12 at the
bookstore. Which of the following represents the
amount Jaheem spent?
A. 0.08 or 8%
B. 0.8 or 8%
C. 0.08 or 80%
D. 0.8 or 80%

Answers

D. 0.8 or 80% Explanation: 12 divided by 15 is 0.8 which is equivalent to 80%

Can anyone help me out with this answer?

Answers

9514 1404 393

Answer:

  7×10⁻¹ +6×10⁻² +5×10⁻³

Step-by-step explanation:

Place value in any place-value number system increases by a factor of the base for each place to the left of the "decimal" point. It is reduced by a factor of the base for each place to the right of the "decimal" point.

For base-10 numbers, the powers of 10 are -1, -2, -3, ... as you go to the right of the decimal point. Hence the number 0.765 decomposes as ...

  7×10⁻¹ +6×10⁻² +5×10⁻³

Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,142 was collected on the sale of 1,330 tickets. How many of each type of ticket were sold?


The basketball game sold
______adult tickets and
_______student tickets.

Answers

Answer:

453 adult tickets and 877 student tickets were sold.

Step-by-step explanation:

Given that adult tickets to a basketball game cost $ 5 and student tickets cost $ 1, and a total of $ 3,142 was collected on the sale of 1,330 tickets, to determine how many of each type of ticket were sold the following calculations must be performed:

5 - 1 = 4

1330 x 1 = 1330

3142 - 1330 = 1812

1812/4 = 453

1330 - 453 = 877

877 x 1 + 453 x 5 = X

877 + 2265 = X

3142 = X

Therefore, 453 adult tickets and 877 student tickets were sold.

Find the area of the shaded sector.
158°

Answers

Answer:

120 degree in a while and I am fan of the African American women who have served and are fight with you and I am fan of these days and then I will be there in a few days ago y I love u too

Step-by-step explanation:

fftt fight for you to be a good day at work and you are so cute and I am fan of these people are so cute and I am fan of these game and my name was on the phone with my mom is going to be a good day at add me on the phone with my mom is going to be a good day at work and you are so t I don't know what I said it will be there in a few days ago I got the job at the end of my favorite thing in life that is the best thing that I have to be a good day at work and you are so sweet to say that I have to go back to the for us to be a good day at work and I'm so excited about this one is it a Main St apt c u at work and you are not a bad mood today so I can do it for me to come back in my head and I am fan and I am fan on my is on the phone and it is not a type of settlement of the African American women who have participated and are you doing today I am so proud of u and I am fan on my is on the phone number and you can do it for me to come

What is the expected value when rolling a fair 12-sided die?

Answers

Answer:

I think 1/12

Step-by-step explanation:

since the question didn't specifically the possibility of a certain number shown.

note this applies to probability related questions

Consider the diagram.

Triangles M N P and A B C are connect between points B and M. Angles P N M and A B C are congruent. Sides P N and B C are congruent. Line segments A M and B N are congruent.

The congruence theorem that can be used to prove △MNP ≅ △ABC is

SSS.
ASA.
SAS.
AAS.

Answers

SAS, I guess (side angle side)

Step-by-step explanation:

Since AM=BC then AM+MB=MB+BN.

Therefore, AB=MN. So, the two triangle have one congruent angle, and the sides adjacent to it are congruent as well. Those triangle are thus congruent

Answer:

B. SAS (Side Angle Side)

Step-by-step explanation:

its right on E2020

Which angles are vertical to each other

Answers

Answer:

The angles opposite each other when two lines cross. They are always equal. In this example a° and b° are vertical angles.

Which is larger 64 inches or 5 feet

Answers

Answer:

64 inches

Step-by-step explanation:

There are 12 inches in a foot

12 x 5 is 60

64 is greater then 60

Determine the value of x. Round answer to the nearest hundredth.

Answers

Answer:

i believe it is 24

Step-by-step explanation:

PLZ GIVE BRAINLY

Find the missing measure in a right triangle if a= 9 ft and b = 12 ft.

Answers

Answer:

c = 15 ft

Step-by-step explanation:

a^2 + b^2 = c^2

9^2 + 12^2 = c^2

c^2 = 225

c = √225

c = 15 ft


In triangle FGH shown below, what is the measure of < F degrees?

Record your answer and fill in the bubbles on your answer document. Be sure to use
the correct place value.

Answers

Answer:

∠F = 19.5°

Step-by-step explanation:

The sum of all of the angles in a triangle is 180°

∠F + ∠H + ∠G = 180°

∠F + 127° + 33.5° = 180°

∠F + 160.5° = 180°

       -160.5°  -160.5°

∠F = 19.5°

I can't figure this problem out- Please help me​

Answers

Answer:

68 in^2

Step-by-step explanation:

the shape is a trapezoid

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs

Characteristics of a trapezoid

It has 4 vertices and edges

If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram

Area of a trapezoid =   x (sum of the lengths of the parallel sides) x height

the dimension of the height is not given. We have to determine the value of the height using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

10² = 6² + height²

100 = 36 + height²

height = 64

the square root of 64 is 8

the height is 8

1/2 x (8 + 9) x 8 = 68in^2

Factor the expression

10x + 25

A. 2(5x + 10)
B. 5(2x + 5)
C. 10(x + 5)
D. 5(2x + 25)

Answers

Step-by-step explanation:

The correct answer is ''B. 5(2x + 5)''

PLS ANSWER QUICK, HELP

Answers

Length x Width x Hight

Np

Answer:

1/2. gallon.............

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