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serious [3.7K]
3 years ago
15

Georgia is making cupcakes at her bakery. she has enough batter to make 377 chocolate cupcakes, and 935 vanilla cupcakes. if she

makes them in a pan that bake 24 at a time, how many times will she refill the pan?
Mathematics
2 answers:
Luda [366]3 years ago
8 0
377 + 935 = 1312 Cupcakes Total.
(Vanilla + Chocolate = Total Cupcakes)

1312/24 = 54.6
(Total cupcakes/Number of cupcakes that can be made in a single pan = Number of times Georgia has to refill the pan.)

Georgia can refill her pan 55 times (Rounding up, because if you round down, then not all the cupcakes would be baked) to make the cupcakes she want.
olchik [2.2K]3 years ago
6 0
All you have to do is add the number of vanilla and the number of chocolate, then divide the result by 24. You round up the result to the nearest whole number.

Like so:
377+935=1312
1312/24=54.67
55

So, she would have to refill it 55 times to use all the batter.
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What is the value of $x$ if $-\frac23(x-5) = \frac32(x+1)$?
Ipatiy [6.2K]

Answer:

x = (-29)/5

Step-by-step explanation:

Solve for x:

(2 (x - 5))/3 = (3 (x + 1))/2

Multiply both sides by 6:

(6×2 (x - 5))/3 = (6×3 (x + 1))/2

6/3 = (3×2)/3 = 2:

2×2 (x - 5) = (6×3 (x + 1))/2

6/2 = (2×3)/2 = 3:

2×2 (x - 5) = 3×3 (x + 1)

2×2 = 4:

4 (x - 5) = 3×3 (x + 1)

3×3 = 9:

4 (x - 5) = 9 (x + 1)

Expand out terms of the left hand side:

4 x - 20 = 9 (x + 1)

Expand out terms of the right hand side:

4 x - 20 = 9 x + 9

Subtract 9 x from both sides:

(4 x - 9 x) - 20 = (9 x - 9 x) + 9

4 x - 9 x = -5 x:

-5 x - 20 = (9 x - 9 x) + 9

9 x - 9 x = 0:

-5 x - 20 = 9

Add 20 to both sides:

(20 - 20) - 5 x = 20 + 9

20 - 20 = 0:

-5 x = 9 + 20

9 + 20 = 29:

-5 x = 29

Divide both sides of -5 x = 29 by -5:

(-5 x)/(-5) = 29/(-5)

(-5)/(-5) = 1:

x = 29/(-5)

Multiply numerator and denominator of 29/(-5) by -1:

Answer: x = (-29)/5

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3 years ago
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atroni [7]

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You entered a contest through your local television station. There is one first prize of a new car! There are 5 second place pri
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Answer:

\frac{1}{400} or 0.0025 0r 0.25%

Step-by-step explanation:

There are three categories that will get a prize

1) First place = 1 person

2) Second place = 5 persons

3) Third place = 20 persons

A total of 26 people will get prizes.

However, we want to determine your chance to win one of the second place prizes

There are 5 prizes in second place

This means out of a total of 2000 people, you could be among the 5

i.e 5 out of 2000

This is \frac{5}{2000} = \frac{1}{400} = 0.0025

This means you have a chance of 1 out of 400

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3 years ago
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Answer:

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Step-by-step explanation:

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\sqrt{8} =\sqrt{4*2} = 2\sqrt{2} \\\sqrt{32} =\sqrt{16*2} =4\sqrt{2}

∴ \sqrt{8} +3\sqrt{2} +\sqrt{32}

= 2\sqrt{2} +3\sqrt{2} +4\sqrt{2}

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