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2 years ago

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:

The complete question is

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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Misha Larkins [42]

Final Answer: $-12x + 1.5$

Steps/Reasons/Explanation:

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

Step 1: Expand by distributing terms.

$-3$ × $4x - 3$ × $-0.50$

Step 2: Simplify $-3$ × $4x$ to $-12x$ .

$-12x - 3$ × $-0.50$

Step 3: Simplify $3$ × $-0.50$ to $-1.5$ .

$-12x - (-1.5)$

Step 4: Remove parentheses and add.

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3 years ago

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Step-by-step explanation:

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Which functions have an axis of symmetry of x = -2? Check all that apply. A. f(x) = x^2 + 4x + 3 B. f(x) = x^2 - 4x - 5 C. f(x)

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Answer:

A. f(x) = x^2 + 4x + 3

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Step-by-step explanation:

The axis of symmetry is found by h = -b/2a where ax^2 +bx +c

A. f(x) = x^2 + 4x + 3

h = -4/2*1 = -2 x=-2

B. f(x) = x^2 - 4x - 5

h = - -4/2*1 = 4/2 =2 x=2 not -2

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