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

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

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.

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Answer: the difference

Step-by-step explanation:

Answer:

Difference

Step-by-step explanation:

Sum is addition

quotient is division

product is multiplication

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.

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.

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Answer:

first: itself

second:100

Step-by-step explanation:

Answer:

whats your question?

Step-by-step explanation:

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

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.

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Answer:

10.

Step-by-step explanation:

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

Answer:

D Neither

Step-by-step explanation:

3x-y=13

3x-y=13-13

3x-y=0

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.

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!

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

Answer:

i think its C!

Step-by-step explanation:

hope this helped! <3 =)

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!

Answer:

5/9

Step-by-step explanation:

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 .

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

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.

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.

The height of the nearby tree is 21 feet.

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.

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meters cube or m³

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

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

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