Gio baked 21 cupcakes for the holiday sale. He made some with vanilla icing, and some with mint-chip icing. He charged $2 for the vanilla cupcakes, and $4 for the mint-chip cupcakes and made $54. How many of each did he make? He created the following system of equations to find out how many of each he made. Let x represent the number of vanilla cupcakes, and y represent the number of mint-chip cupcakes.
x+y=21

2x+4y=54

Answers

Answer 1
15 vanilla and 6 mint chip

$2(15) + $4(6) = $54
Answer 2

Answer: 15 vanilla and 6 mint

Step-by-step explanation:

You would solve for x and get x=21-y and then plug that into the next equation and get 2(21-y)+4y = 54.

You would then solve for y.

42-2y + 4y = 54

42+2y =54

Then subtract 42 from both sides.

2y = 12, and then divide by 2.

You get y=6.

Then we know we sold 21 cupcakes so

21-6=x

15=x


Related Questions

Four ninths plus one ninth?

Answers

Answer:

5/9

Step-by-step explanation:

answer would be 5/9 bc keep same denominator add numerator

What is the quotient of 7a/9bc ÷ 21a/12b

A. 4/3c
B. 4/9c
C. 3/4c

Answers

4/9c is the answer :)

Explanation is down below
Your Answer Is B. 4/9c

Yo can someone help me out, I know the volume but which units again?

Answers

meters cube or m³

Volume uses '³' or cube units on 3d models.

Area uses '²' or square units on 2d models.

please help!! I just need 2b!!

Answers

Mi no English mi hablas español i sory
2b) 30 because that number is LESS THAN 50 and the inequality states that W is GREATER than 50.

(You can use any number less than 50 it doesn’t necessarily have to be 30)

ALSO PLEASE MAKE ME BRAINLIEST

First one to answer gets BRAINLIEST!!

1+2-4+3x5=?

Answers

Answer:

10.

Step-by-step explanation:

1+2=3-4=-1+3=2X5=10.

3*5=15-4=11+2=13+1=14 so the answer is 14.

pls answer this 7th grade question

7 + (-8)

Answers

7 + -8= -1. gwjavvebwbBx

Devon and Roy volunteer at a community farm. On Tuesday, they were each given the same number of tomato seeds to plant, but Roy finished first. On Wednesday, they are going to work together to plant squash seeds. If they work for the same amount of time on Wednesday, who will likely plant more seeds?

Answers

Answer:

Roy

Step-by-step explanation:

If Roy finished first the first time then he is faster at planting the seeds.

I don't know if this is correct but I think it is.

Roy will finish first

Holt drove 99 kilometers with 9 liters of gas. How many kilometers can he drive with 12 liters of gas?

A) 90 km
B) 132 km
C) 74.25 km
D) 87 km

Answers

Answer:

The answer is B

Step-by-step explanation:

If 9 liters of gas got the car to drive 99 km then 12 liters would get the car to go more than 99 leaving 132 the only one

The answer umis b. 99 times 12=1,188 dived by 9 = 132

a package of 6 pairs of insulated gloves cost $47.34 what is the unit price of the pair of gloves

Answers

Answer:

$7.89 per pair of gloves.

Step-by-step explanation:

divide 47.34 by 6.

Answer:

7.89

Step-by-step explanation:

you divide $47.34 by 6 which is $7.89 per set of gloves.

:) happy to help!

aaaa help solve (not graph)

Answers

Step 1: Subtract 5 from both sides.

3w + 5 − 5 ≥ 11 − 5

3w ≥ 6

Step 2: Divide both sides by 3.

3w /3  ≥  6 /3

w ≥ 2

Therefore, the correct answer is w ≥ 2 .

Answer:

w ≥ 2

Step-by-step explanation:

Hope this helps!

A 9 foot flagpole cast a shadow 6 feet long, and at the same time a nearby tree cast a shadow 14 feet long. What is x the hight of the tree.

Answers

It is 17 ft long because for the flagpole the shadow was 3 feet shorter then the actual height of the flag pole, so for the tree the shadow is 14 ft so you would add 3 ft and that equals 17

The height of the nearby tree is 21 feet.

What is proportion?

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole.

According to the problem,

Height of the flagpole = 9 feet

Length of the shadow = 6 feet

Length of the shadow cast by the tree = 14 feet

Let the height of the tree be x,

Since they cast aa shadow at the same time nearby, If we set up a proportion,

⇒ [tex]\frac{9}{6}[/tex] = [tex]\frac{x}{14}[/tex]

⇒ 6x = 126

⇒ x = [tex]\frac{126}{6}[/tex]

⇒ x = 21 feet

Hence, we can conclude, the height of the shadow is 21 feet.

Learn more about proportions here:

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The number of fish in a lake decreased by 25% between last year and this year. Last year there were 60 fish in the lake. What is the population this year? (Consider using a tape diagram)

Answers

45 fish this year
60(0.25)=45

Answer: This population, the population is 45 fish.

Step-by-step explanation: This problem can be solved by a rule of three. Last year there were 60 fish in the lake. That was 100, that is, decimal 1. This year it decreased by 25%. So there 100%-25% = 75%, that is decimal 0.75. So 60  fish - 1 x fish - 0.75. This population, the population is 45 fish.

Can someone pls help me

Answers

Answer:third graph (open circle on 518, colored to the right)

Step-by-step explanation:The record is 518 cm. That means that 518 cm has already been accomplished. Anything less than 518 cm is not a record. 518 cm is also not a record. Only distances greater than 518 cm are records

um help its kind of confusing, its a drop down choice question

Answers

Answer:

first: itself

second:100

Step-by-step explanation:

the guy above is right :)))

1. in the equation 80 divided by 10 = 8, the number is the blank
2. the number used to divide another number is the blank
3. the result of dividing two numbers is the blank

Answers

Answer
1. i believe the answer you are looking for is quotient which is the answer to a division problem
2. A divisor is a number that divides another number either completely or with a remainder. A divisor is represented in a division equation as: Dividend ÷ Divisor = Quotient. Similarly, if we divide 20 by 5, we get 4.
3. the result the quotient of the question

hope this helps and have a wonderful day :)

In the given equation the dividend number is 80, the number used to divide another number is 10 and the result of the dividing two number is 8.

Given-

In the given problem, the equation eighty divided by ten and result is eight. Mathematically,

[tex]\dfrac{80}{10}=8[/tex]

1-The number which is divided- Dividend is the whole number which has to be divide into the parts. In the given equation the number which has to be divide is eighty. Hence the dividend number is eighty.

2-Divide by another number- Divide by another number means that it doesn't have any reminder. As in the given equation the number ten is used to divide the number eighty. Hence In this case the number used to divide another number is ten.

3-The result of dividing two number is- The result of the two dividing number is the number which is resulting from the division of one number by the another number and known as quotient. In the given equation the result of the two number after division is eight. Hence the result of the dividing two number is eight.

Hence, In the given equation the dividend number is 80, the number used to divide another number is 10 and the result of the dividing two number is 8.

For more about the division follow the link below-

https://brainly.com/question/556834

Two number cubes are rolled.


What is the probability that the first lands on an odd number and the second lands on an even number?


Enter you answer, as a fraction in simplified form, in the box.

Answers

Answer:

1/2

Step-by-step explanation:

if both cubes are 6 sided. Then for the first one the probability is 3/6. second is also 3/6. but we are looking for the probability of this outcome. we can add all of the sides to get 12. then we have 3 even numbers and 3 odd numbers. which added together is 6. we bow have 6/12, which is 1/2 simplified

mason currently pas $420 per month in rent. the contract on his apartment sates that his rent will increase by 6% next year.

a. by how much will masons rent increase next year?
b. what will be masons new rent per month, next year?mason currently pas $420 per month in rent. the contract on his apartment sates that his rent will increase by 6% next year.

a. by how much will masons rent increase next year?
b. what will be masons new rent per month, next year?

Answers

Answer:

a. Mason's rent will increase by $302.40 next year.

b. Mason's new rent per month next year will be $445.20.

Step-by-step explanation:

The first question is asking us how much Mason's rent will increase next year.

If the contract on Mason's apartment states that his rent will increase by 6% next year, and he is currently paying $420 per month, to calculate the increase of the rent next year, we will first have to multiply $420 by 12 months to calculate how much Mason is paying in rent a year:

[tex]420* 12=[/tex]

[tex]5040[/tex]

Therefore, Mason is currently paying $5040 a year.

With this information, we will now need to calculate 6% of $5040. To calculate 6% of $5040, convert 6% to decimal form, and multiply it by $5040.

6% means 6 per cent/hundred, so it can be represented as:

[tex]\frac{6}{100}[/tex]

The fraction [tex]\frac{6}{100}[/tex] can be represented as (we're two places behind the decimal, in the hundredths place):

[tex]0.06[/tex]

Now, multiply the decimal form of 6% by $5040:

[tex]0.06*5040=[/tex]

[tex]302.40[/tex]

Therefore, Mason's rent will increase by $302.40 next year.

-

To calculate Mason's new rent per month next year, we can divide $302.40 into 12 months to see the rent increase per month, and then add that quotient to Mason's current rent per month, $420:

[tex]302.40[/tex] ÷ [tex]12=[/tex]

[tex]25.20[/tex]

Now, that we know the rent per month will increase by $25.20 next year, we can add $25.20 to Mason's current rent per month:

[tex]420+25.20=[/tex]

[tex]445.20[/tex]

Therefore, Mason's new rent per month next year will be $445.20.

C
=
5
9
(
F

32
)

The equation above shows how temperature
F
, measured in degrees Fahrenheit, relates to a temperature
C
, measured in degrees Celsius. Based on the equation, which of the following must be true?

A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of
5
9
degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only

Answers

The answer to the question is A
I believe the answers is A) l only

Pls help me with this

Answers

Answer:

i think its C!

Step-by-step explanation:

hope this helped! <3 =)

Which ordered pair is a solution of the equation?
3x−y=13
A only (6,5)
B Only (3,-4)
C Both (6,5) (3,-4)
D Neither

Answers

Answer:

D Neither

Step-by-step explanation:

3x-y=13

3x-y=13-13

3x-y=0

Your answer is (3, -4) .. to get that I plugged each set into the equation and solved to figure out which ordered pair makes this statement equivalent.. I got 13=13 after plugging in and solving so that makes it equivalent the other ordered pair makes an inequivalent outcome which was 9=13 ... I hope this helps

Simplify the expression (2.5x − 5) − ((7x − 9.7)).

Answers

Answer:

−4.5x+4.7

Step-by-step explanation:

The value of the expression (2.5x − 5) − ((7x − 9.7) is 4.5x - 4.7.

In order for us to simplify the expression (2.5x − 5) − ((7x − 9.7)), we simply have to open the brackets and collect like terms. This will be:

= (2.5x − 5) − (7x − 9.7)

= 2.5x - 5 - 7x + 9.7

= 2.5x - 7x - 5 + 9.7

= -4.5x - 4.7

Therefore, the values will be 4.5x - 4.7.

Read related link on:

https://brainly.com/question/25614786

PLEASE HELP What is the range of possible sizes for side x?

Answers

The correct answer is 16.8
The answer for one is 16.8

There are 3 cats in a room and no other creatures. Each cat has 2 ears, 4 paws, and 1 tail. Which of the following shows a ratio of paws to ears to tail?

A. 1 : 2 : 4
B. 2 : 4 : 8
C. 4 : 8 : 2
D. 8 : 4 : 2

Answers

A. 1:2:4
None of the other ones fit correctly.

Answer: D - 8:4:2

Step-by-step explanation: There will always more paws to ears. And there will always be more ears to tails. Only one where this is shown is in letter D.

HEELPPEEPPPPPPPP! please and thank you .

Answers

Answer:

Answer is number b) corresponding angles

because one angle is inside the transversal and another is outside the transversal . They are lying in same side of transversal .

Help me pls I really need help with this question also I need a Legit answer no answers that say hi or I don't know I NEED A REAL ANSWER PLS

Answers

Answer: the difference

Step-by-step explanation:

Answer:

Difference

Step-by-step explanation:

Sum is addition

quotient is division

product is multiplication

2.7 x 10⁷ in standard form i need help quick

Answers

Answer:27000000

Step-by-step explanation:

I hope this helps!!!

Answer:

27,000,000

Step-by-step explanation:

10 to the 7th power is 10,000,000

2.7*10,000,000=27,000,000

and umm.. standard form IS 2.7*10^7

Chapter 1 in Henry's book is 6 1/2 pages long. Chapter 2 is 8 2/3 pages long. How many pages are Chapter 1 and Chapter 2 altogether? How much longer is Chapter 2 than Chapter 1

Answers

6 (3/6) + 2 (4/6)
8 (7/6)
Make it a proper fraction
And we get 9 (1/6)
9 1/6 is the answer for this question

I NEED HELP PLZ AND THANK YOU

Answers

Answer:

whats your question?

Step-by-step explanation:

Your question isn’t showing

Holly works as a consultant who earns a weekly salary, plus an amount every hour she works. If her total earnings are represented by (y) for (x) total hours worked in the table below, how much does she earn per hour?
5:450
6:480
7:510
8:540

Answers

They have to give more information like home much she makes so we can make a equation so like if she made $5 every hour the equation would be
5+x=y
X is the extra she makes and y is the amount in total

She earns a total of $30 per extra hour of her work.

What is direct variation?

Direct variation of a quantity {y} with respect quantity {x} means that the value of {y} increases as the the value of {x} increases. Mathematically -

y = Kx

K = y/x

where -

{K} is scale factor.

Given is that Holly works as a consultant who earns a weekly salary, plus an amount every hour she works. If her total earnings are represented by (y) for (x) total hours worked in the table below -

Hours:        5      6      7       8

Amount : 450  480  510  540

We can write the unit rate as -

r = (480 - 450)/(6 - 5)

r = 30/1

r = 30

Therefore, she earns a total of $30 per extra hour of her work.

To solve more questions on direct variation, visit the link below -

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Please help. I need help on how to explain this. The answer is 22 times but I just don’t know how to explain how to get the answer.

Answers

I know the best prediction to find out how much times it will land on earbuds. My prediction is that it will land on earbuds twenty-two time.
Can you mark me brainliest?
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