What is an equation that uses the distributive property and equals 4

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

zlopas [31]

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

3 0

3 years ago

Please please please please help

andre [41]

Answer:

m = 9

Step-by-step explanation:

8/12 = 6/m

8m = 72

m = 9

4 0

3 years ago

Read 2 more answers

If the measures of two angles of a triangle are 87 and 17 , what is the measure of the third angle

Serhud [2]

Answer:

76 degrees

Step-by-step explanation:

The total of the three angles in a triangle should equal 180 degrees. So to find the third angle, subtract the two given angles from 180

180 - 87 = 93

93 - 17 = 76

The third angle is 76 degrees because then all angles will add up to 180

8 0

4 years ago

I'm stuck on this question, PLZ HELP. --Mama Mia restaurant used 1/2 of their mozzarella cheese making pizza and the remaining 6

vivado [14]

If Mama Mia used half of their mozarella cheese, that means that 64 ounces is the other half. 64 times 2 equals 128.

6 0

3 years ago

Read 2 more answers

A screening test for a certain disease is used in a large population of people of whom 1 in 1000 actually have the disease. Supp

sertanlavr [38]

Answer:

$P(D/T)=5.05*10^{-6}$

Step-by-step explanation:

Let's call D the event that a person has the disease, D' the event that a person doesn't have the disease and T the event that the person tests negative for the disease.

So, the probability P(D/T) that a randomly chosen person who tests negative for the disease actually has the disease is calculated as:

P(D/T) = P(D∩T)/P(T)

Where P(T) = P(D∩T) + P(D'∩T)

So, the probability P(D∩T) that a person has the disease and the person tests negative for the disease is equal to:

P(D∩T) = (1/1000)*(0.005) = 0.000005

Because 1/1000 is the probability that the person has the disease and 0.005 is the probability that the person tests negative given that the person has the disease.

At the same way, the probability P(D'∩T) that a person doesn't have the disease and the person tests negative for the disease is equal to:

P(D'∩T) = (999/1000)*(0.99) = 0.98901

Finally, P(T) and P(D/T) are equal to:

P(T) = 0.000005 + 0.98901 = 0.989015

$P(D/T) = 0.000005/0.989015 = 5.05*10^{-6}$

8 0

3 years ago