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

please answer i will give crown :D

Answers

Answer:

0.24

Step-by-step explanation:

1.679-1.439

What is a good estimate for this angle measurement? A. 10 degrees B. 25 degrees C. 75 degrees D. 95 degrees

Answers

Answer:

C. 75 degrees

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

guys i guessed

Omlll, I'm actually stuck rn xD If anyone can help,i'd appreciate it so much!! Tyssmm!!!!!

Answers

Answer: it’s acute

Step-by-step explanation:

the second one lollollol

Create an algebraic expression to solve the following problems.

a) Jeff’s cell phone plan charges him $10 per GB with no extra fees. How much will his bill be for 6 GB?

b) Marks cell phone charges him $8 per GB and a monthly fee of $15 how much will his bill be for 10 GB

c) Ricks cell phone plan charges him $5 per GB and a monthly for of $30. How much will his bill be for 2 GB?


PLEASE ANSWER PLEASE

Answers

Answer:

Step-by-step explanation:

x is the number of GB

f(x) is the cost in dollars

f(x) = 10x

Bill for 6 GB = f(6) = 60

:::::

f(x) = 8x+15

Bill for 8 GB = f(10) = 95

:::::

f(x) = 5x+30

Bill for 2 GB = f(2) = 40

I need some help! I would really appreciate it!

Answers

Answer:

answer is A

Step-by-step explanation:

slope goes up positive 4 and it crosses the y intercept at 3 so yeg there ya go ig

If x = 1 does x² - x = 0?

Answers

Answer:

Yes it does

Step-by-step explanation:

we would like to Prove the following for x=1:

[tex] \displaystyle {x}^{2} - x = 0[/tex]

since x=1 substitute:

[tex] \displaystyle {1}^{2} - 1 \stackrel {?}{=}0[/tex]

to simplify it we can consider the order of PEMDAS which is a abbreviation of

ParenthesesExponentMultiplication orDivision Addition orSubstraction

since exponent come first

simplify exponent:

[tex] \displaystyle {1}^{} - 1 \stackrel {?}{ = }0[/tex]

simplify substraction:

[tex]\displaystyle 0 \stackrel { \checkmark}{ = }0[/tex]

since left hand side equal to right hand side

hence, Proven

Alternate way:

use a²-b²=(a+b)(a-b) to rewrite:

[tex] \displaystyle (x + \sqrt{x} )(x - \sqrt{x} ) = 0[/tex]

since x=1 substitute:

[tex] \displaystyle (1 + \sqrt{1} )( 1- \sqrt{1} ) \stackrel {?}{=} 0[/tex]

simplify square root:

[tex] \displaystyle (1 + 1)( 1- 1 ) \stackrel {?}{=} 0[/tex]

simplify parentheses:

[tex] \displaystyle (2)( 0) \stackrel {?}{=} 0[/tex]

Multiplying any number by 0 results 0 thus

[tex] \displaystyle 0 \stackrel { \checkmark}{=} 0[/tex]

since left hand side equal to right hand side

hence, Proven

Given,

x = 1

We need to find if x² - x = 0 is true or false.

If x = 1, then x² will be equal to 1² = 1 (1 multiplied by 1 is one / 1 square is equal to 1)

So,

=》x² - x = 0

By substituting ...

=》1² - 1 = 0

Now calculate...

=》1 - 1 = 0

=》0 = 0

•°• The given statement is true.

_____

RainbowSalt2222 ☔

PLEASE HELP!!!!!

Part A: Which person has earned more money after working 3 hours? Show or explain your work.

Part B: After how many hours of work Will Mary Ann and Carlos have saved the same amount?
show or explain your work.​

Answers

Answer:

huh [•.•ิ] that's confusing sry

Answer:

after 3 hours they would each earn $21

Step-by-step explanation:

Hi I need to send you a screenshot .​

Answers

DON'T OPEN IT, IT'S A LINK!! also you can just attach a photo to a question :)

Help?
The circumference of a circle is 25 cm. Find the length of the radius

Answers

it’s around 3.979 cm

Answer:

3.99

Step-by-step explanation:

Divide circumference by pi. The answer will be the circles diameter and then divide this by 2 for the radius

Find the equation (in terms of x) of the line through the points (-2,-4) and (2,8) y=

Answers

Answer:

y = 3x + 2

Step-by-step explanation:

Anna charges $8.50 an hour to babysit how long will it take to make $51.00

Answers

Answer:

6 hours

Step-by-step explanation:

$51.00 ÷ $8.50 = 6 hours

hope this helps ! :))

Graph f(x) = 2 x + 3 + 2.

Answers

Answer:

HOPE IT'S HELPS YOU....

17.
Which pair of numbers is relatively prime? *


7 & 21
4 & 15
ОООО
6 & 9
9 & 27

Answers

Answer:

9 & 27

Step-by-step explanation:

since all prime numbers above 5 end in 1,3,7 and 9then to find a prime number between say 70 and 80 the only possibilities are 71,73,77,79

Answer:

9 & 27

Step-by-step explanation:

Plz mark as Brainliest...

Select all numbers that have and absolute value of 0.6

Answers

I needed help on this... Answer:
l-0.6l and 0.6 and l 0.6 l
Step-by-step explanation:
a number in l x l for is to be changed to positive if not already!

Jenny has read 193 books from the library
cookbook section. If this is 64% of the cookbook
section, how many books are in the entire
cookbook section?
A. 240
B. 300
C. 160
D. 64

Answers

Answer:

B. 300

Step-by-step explanation:

Let's take the entire number as 'x'

according to the question,

x * 64% = 193

x * 64/100 = 193

x * 64 = 193 * 100

x = 19300/ 64

x = 301.5

round down to 300

Help please will mark brainliest

Answers

Answer: 22.9

Step-by-step explanation: Perimeter of a triangle is the sum of all side lengths, in this case, 4, 5, and 13.9, and the sum is 22.9. Hope this helps, and have a great day!

Answer:

22.9 i think

Step-by-step explanation:

what is the 3rd quartile ?

Answers

Answer:

The upper or third quartile, denoted as Q3, is the central point that lies between the median and the highest number of the distribution.

Step-by-step explanation:

help please grade 8 20 points and i need it

Answers

Answer

1) (4,6)

2) (5,5)

3) (2,6)

Step-by-step explanation:


Simplify: (x2+6x+8) + (-4x2+11x-9)

Answers

Answer:

-3x^2+17x-1

Step-by-step explanation:

3.65 is greater than or less than 3and1/5​

Answers

3.65 is greater than 3 1/5 since if you put 1/5 in decimals, it would be 3.20.

Answer:

Greater

Step-by-step explanation:

It is greater because 3 & 1/5 is technically 3.20 which obviously results with 3.65 being greater than 3.2. Also if you go into detail with it 3.65 is kinda 3 & 3/5. Thanks. Let me know if you find any fault in my answer. Have a good day!

Can you please help me do a and b I will reward brainliest

Answers

Answer:

a) 640.32 cm^3

b) 98.4 cm^3

Step-by-step explanation:Part a)Cylinder volume:

(3.14) × 2^2 × 12 = 150.72 cm^3

Triangular prism:

We need to find the height of the base so we use the Pythagorean theorem.

5^2 + x^2 = 14.1^2

25 + x^2 = 198.81

x^2 = 173.81

x = 13.184

After finding height, we can use the equation for a normal triangular prism:

[tex]\frac{1}{2}[/tex] × Base × Height × Length

[tex]\frac{1}{2}[/tex] × 13.184 × 10 × 12= 791.04cm^3

Total Volume: 791.04 - 150.72 = 640.32 cm^3

Part b)Small Sphere Volume:

[tex]\frac{4}3[/tex] × 3.14 × 1^3 = [tex]\frac{314}{75}[/tex]cm^3

Half Sphere Volume :

0.5([tex]\frac{4}3[/tex]× 3.14 × 3^3) = 56.52cm^3

Cone Height:

5^2 = 3^2 + h^2

25 = 9 + h^2

16 = h^2

h = 4

Cone Volume:

(3.14) × 3^2 × [tex]\frac{4}{3}[/tex] = 37.68 cm^3

Total Volume = 98.4 after rounding

If 10 is p percent of 21 , p is a number between

Answers

Answer: 47 and 48

Step-by-step explanation: 10/21 ≈0.476190476 and multiplied by a 100 to get a percentage is ≈ 47.6 which is in between 47 and 48. Hope this helps, and have a great day!

Answer: 47%

Step-by-step explanation:

half of 20 is 10 so half of 21 is 10.5

i need help i will crown brainiest

Answers

Answer:25 if your looking for the number of ways to order 5 objects

Step-by-step explanation:

If your looking for the probability of 1 number the ways for it to be arranged l believe It is 5x5 hope this helps

Help please !! need it adap

Answers

Answer:

m < Q = 40°

m < M = 60°

Step-by-step explanation:

1.) All angles in every triangle altogether equal 180°

From the 4 measurements, you can tell angle Q and S are equal in order to make all angles equal 180 and those angles to be equal (below)

180 - 100 = 80

80/2 = 40

2.) This is an isoceles  (all angles and sides are equal) There are three angles (divide 180 by 3)

180/3 = 60

find the value of x. round to the nearest tenth if needed.

Answers

[tex]6^{2}+8^{2}=x^{2} \\36+64=x^{2} \\100=x^{2} \\x=10[/tex]

A spinner has six equal-sized sections numbered 1, 1, 2, 2, 3, and 4. What is the probability of spinning a 3?

Answers

Answer:

1/6 or 0.166666...

Step-by-step explanation:

1 out of 6, so 1/6

5/8 - 1/4 simplest form​

Answers

Answer:

3/8

Step-by-step explanation:

5/8 - 1/4

L.C.M =8

5-2=3

=3/8

If there are 2.54 centimeters in one inch, how many square centimeters are in one square inch? Hint: It is not 2.54! How is determining this conversion ratio related to linear and area scale factors for similar shapes?​

Answers

Answer: It is related because linear scale factors are also squared for area scale factors.

Step-by-step explanation: Imagine two squares, which are similar (all squares are similar), and one has a side length of two and other has a side length of four. The length ratio is 1:2. But if you calculate the areas the area ratio is 1:4, which is the linear scale factor of two squared to get to 4

When creating equations for our word problems, we must remember to...

A. write all equations in slope-intercept form.

B. make sure all equations are in the same form.

C. define all variables.

Answers

9514 1404 393

Answer:

  C.  define all variables

Step-by-step explanation:

Equations for word problems will depend on the problem. Not all of the equations will be linear equations. Even if they are, they are not necessarily easily written in any particular form, or easily solved when they are written in that form. The nature of the equations will depend on the problem.

One thing that must be done in any case is define all variables. It is usually a good idea to define the units of the variable(s) as well. Sometimes problems are posed with numbers in incompatible dimensions, or they may ask for an answer in dimensions different from those used in the given information. In order to avoid confusion and to be sure you have the desired answer, you need to make sure the variables and their dimensions are compatible with the solution process.

The Frill family and the Smith family go to the movies.
The Frill family buys 6 adult tickets and 2 child tickets for $124.
The Smith family buys 3 adult tickets and 5 child tickets for $100.

Find the prize of an adult ticket and the prize of a child ticket.

Answers

Step-by-step explanation:

Let a be the price of 1 adult ticket.

Let c be the price of 1 child ticket.

given,

[tex]6a + 2c = 124[/tex]

as equation 1,

and

[tex]3a + 5c = 100[/tex]

as equation 2.

Now we will solve for a and c using elimination method of simultaneous equations.

Now we multiply equation 2 by 2 to eliminate a and solve for c.

[tex]3a \times 2 + 5c \times 2 = 100 \times 2 \\ 6a + 10c = 200[/tex]

This new equation will be equation 3.

Now we will use equation 1 - equation 3 to eliminate a and solve for c.

[tex](6a - 6a) + (2c - 10c) = 124 - 200 \\ 0 + ( - 8c) = - 76 \\ - 8c = - 76 \\ c = - 76 \div - 8 \\ = 9.5[/tex]

Now substitute c into equation 2.

[tex]3a + 5(9.5) = 100 \\ 3a + 47.5 = 100 \\ 3a = 100 - 47.5 \\ 3a = 52.5 \\ a = 52.5 \div 3 \\ = 17.5[/tex]

Therefore one adult ticket will cost $17.50 and one child ticket will cost $9.50.

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