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musickatia [10]
3 years ago
10

Imagine you are the pastry chef at your favorite restaurant. The manager has just told you that you have a large crowd coming in

for lunch tomorrow and you need to prepare. This project includes a recipe for cupcakes for dessert. You are expecting 108 people, but the recipe does not serve that many people, so you will need to adjust the ingredients so there will be enough. For example, if a recipe serves 8 people and you need to feed 32 people, what would you need to do? You would have to make 4 times as much as the original recipe makes, which means that you would need to multiply the amount of each ingredient by 4, since 8*4 = 32.

Mathematics
1 answer:
Pie3 years ago
4 0

Answer:

3

Step-by-step explanation:

The recipe serves 36 people. You need to serve 108 people.

In the example,

original serving (8) * multiplier (4) = new serving (32)

Here,

original serving = 36 and new serving = 108

36 * multiplier = 108

divide both sides by 36 to isolate the multiplier

108/36 = multiplier = 3

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Write an algebraic
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Answer:

x = 115 - p

Step-by-step explanation:

generally in algebra you will use the letter "x" to represent a value you do not know, so it wants an algebraic expression for "p subtracted from 115", this can be rewritten as 115 - p. So the unknown value  "x" is equal to 115 - p.

6 0
3 years ago
Which value make the equation 3x-6=36 true
elena-s [515]

Answer:

x=14

Step-by-step explanation:

To solve, we need to isolate the variable (x)

3x-6=36

Add 6 to both sides

3x=42

Divide by 3 on both sides

x=14

14 is the value that make the equation true

Hope this helps! :)

7 0
4 years ago
Read 2 more answers
I golf club charges $10 to join and
Jobisdone [24]

Answer: He could have played more than 3 games.

Step-by-step explanation:

Hi, to answer this question we have to write an inequality.

I golf club charges $10 to join and $5 per game: So, the cost of playing golf is equal to $10 (joining price) plus the product of the number of games played (x) and the price per game (5).

That expression must be higher than 25, since john paid more than $25.

Mathematically speaking

10+ 5 x > 25

Solving for x

5x >25-10

5x >15

x >15/5

x> 3

He could have played more than 3 games, since his cost was higher ( not equal or higher) than 25.

4 0
4 years ago
The Starlight movie theater charges $4.95 per box of popcom. Each box of popcorn costs the theater $0.87 to make. How much money
wel

Answer:383.52

Step-by-step explanation: you subtract how much it costs them to make and then times the amount of boxes they’re making.

6 0
3 years ago
Solve: 10 2/3+2h≤4 1/3
PtichkaEL [24]

Answer:

\large\boxed{h\leq-\dfrac{19}{6}\to h\in\left(-\infty,\ -\dfrac{19}{6}\right]}

Step-by-step explanation:

\text{First convert the mixed numbers to the improper fractions:}\\\\10\dfrac{2}{3}=\dfrac{10\cdot3+2}{3}=\dfrac{32}{3}\\\\4\dfrac{1}{3}=\dfrac{4\cdot3+1}{3}=\dfrac{13}{3}\\\\\text{Solve the inequality}\\\\10\dfrac{2}{3}+2h\leq4\dfrac{1}{3}\\\\\dfrac{32}{3}+2h\leq\dfrac{13}{3}\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup^1\cdot\dfrac{32}{3\!\!\!\!\diagup_1}+3\cdot2h\leq3\!\!\!\!\diagup^1\cdot\dfrac{13}{3\!\!\!\!\diagup_1}\\\\32+6h\leq13\qquad\text{subtract 32 from both sides}\\\\6h\leq-19\qquad\text{divide both sides by 6}\\\\h\leq-\dfrac{19}{6}

6 0
3 years ago
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