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natita [175]
3 years ago
5

Heather is my planning a dessert display. She needs 6 ounces of strawberries for each dessert. Part A Heather is not sure how ma

ny desserts she will make. Write an expression with a variable that represents the amount of strawberries heather needs for the desserts. Identify wha the variable represents. Part B if heather has 36 ounces of strawberries, how many desserts can she make? Create an equation and show all work to solve it.
Mathematics
1 answer:
Fed [463]3 years ago
3 0

Answer:

Part A: y=6x

Part B: 36=6x

divide both sides by 6

(36/6 =6) and (6/6)

6=x

Step-by-step explanation:

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Answer:

\frac{(x+5)(x+2)}{x(x-3)(x+3)}

Step-by-step explanation:

The given expression is

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First, we need to factor each denominator

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So, the least common factor (LCF) is x(x-3)(x+3), because they are the factors that repeats.

Now, we diviide the LCF by each denominator, to then multiply it by each numerator.

\frac{(x+3)(2x+5)-3x-5-x(x+1)}{x(x-3)(x+3)} =\frac{2x^{2}+5x+6x+15-3x-5-x^{2}-x }{x(x-3)(x+3)}\\\frac{x^{2}+7x+10}{x(x-3)(x+3)}

Then, we factor the numerator, to do so, we need to find two numbers which product is 10 and which sum is 7.

\frac{(x+5)(x+2)}{x(x-3)(x+3)}

Therefore, the expression is equivalent to

\frac{(x+5)(x+2)}{x(x-3)(x+3)}

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Step-by-step explanation:

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