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morpeh [17]
2 years ago
12

A spice store charges $2.75 for 25 grams of paprika. It also charges 5% of the purchase price for shipping any order

Mathematics
1 answer:
zlopas [31]2 years ago
3 0

Answer:

Part a) The expression is 3.2445x

Part b) Customer cannot buy 2.5 ounces of paprika and have it shipped for less than $8.00

Step-by-step explanation:

<u><em>The complete question is</em></u>

A spice store charged 2.75 for 25 grams of paprika. It also charges 5% of the purchase price for shipping any order.

Part a)  Write and simplify an expression to determine the cost of buying and shipping x ounces of paprika. Use 1 ounce = 28 grams

Part b) Can a customer buy 2.5 ounces of paprika and have it shipped for less than 8.00? Explain

step 1

Convert grams to ounces

Remember that

1\ oz=28\ g

To convert grams to ounces divide by 28

25\ g=25/28= 0.89\ oz

The unit price is

2.75/0.89=3.09\frac{\$}{oz}

Let

x ----> the number of ounces of paprika

y ----> the cost of buying and shipping x ounces of paprika

5%=5/100=0.05

y=3.09x+(3.09x)0.05\\y=3.09x[1+0.05]\\y=3.2445x

Part b) For x=2.5 oz

substitute in the equation

y=3.2445(2.5)=\$8.11

\$8.11 > \$8.00

therefore

Customer cannot buy 2.5 ounces of paprika and have it shipped for less than $8.00

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Final Answer: -12x + 1.5

Steps/Reasons/Explanation:

Question: Which expression is equivalent to -3(4x - 0.50)?

<u>Step 1</u>: Expand by distributing terms.

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<u>Step 2</u>: Simplify -3 × 4x to -12x.

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