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fomenos
3 years ago
15

Write an algebraic equation and solve. Lisa needed to make a fruit salad. She bought 5 oranges for x dollars and 2 packs of stra

wberries for $5.00 each. She spent a total of $20.25. What is the price of 1 orange?
Mathematics
1 answer:
liberstina [14]3 years ago
6 0

Answer:

The cost of 1 orange is $2.05.

Step-by-step explanation:

Lisa needed to make a fruit salad. She bought 5 oranges for x dollars and 2 packs of strawberries for $5.00 each. She spent a total of $20.25.

Cost of 5 oranges = $5x

Cost of 2 packs of strawberries = 2×5 = $10

ATQ,

5x + 10 = 20.25

Subtract 10 both sides

5x + 10 -10 = 20.25-10

5x = 10.25

x = 2.05

So, the cost of 1 orange is $2.05.

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Answer:

Subtract One-half from both sides of the equation.

Divide both sides by 6/7

Multiply both sides by 7/6

Step-by-step explanation:

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4 years ago
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The square pyramid has a volume of 486 cubic inches. What is the value of x?
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Volume of square pyramid can be calculated by the formula :

V=a^{2}\frac{h}{3}

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In the given figure a= x in.and h = \frac{1}{4}  x in.

Volume of pyramid given V =486 cubic inches.

Substituting these values in volume of pyramid we have:

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Or 486=\frac{x^{3}}{4}  x\frac{1}{3}

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Multiplying both sides by 12

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3 years ago
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A system contains n atoms, each of which can only have zero or one quanta of energy. How many ways can you arrange r quanta of e
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Answer:

\mathbf{a)} 2\\ \\ \mathbf{b)} 184 \; 756 \\ \\\mathbf{c)}  \dfrac{(2\times 10^{23})!}{(10^{23}!)(10^{23})!}

Step-by-step explanation:

If the system contains n atoms, we can arrange r quanta of energy in

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ways.

\mathbf{a)}

In this case,

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Therefore,

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\mathbf{c)}

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