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Wittaler [7]
2 years ago
12

Roses normally cost $19.00 a dozen, but for Valentine's Day the price goes up to $35.00. What is the difference in price, includ

ing 7% tax?
Mathematics
1 answer:
JulijaS [17]2 years ago
4 0

Answer:

$17.12

Step-by-step explanation:

First let's find the normal cost with tax

7/100*19=133/100=$1.33

$19+$1.33=$20.33

Now we find the cost with tax for the Valentine's Day price

7/100*35=$2.45

$35+$2.45=$37.45

Now we subtract the normal cost from the Valentine's Day price

$37.45-$20.33=$17.12

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adam prepares a meal of shrimp and brown rice. it must contain exactly 6 g of fat and 10 mg of iron. each 5oz serving of shrimp
jasenka [17]

Answer:

Adam needs 9/8 of a 5oz serving of shrimps (which equals to 5.625 oz) and 5/8 of a cup of brown rice (which is around 10 tablespoons).


Explanation:

You are given:

every serving of shrimp contains 2g of fat and 5mg of iron;

every serving of rice contains 6g of fat and 7mg of iron;

each meal should have 6g of total fat and 10mg of total iron.


You need to set a system of equation: let's call

s = quantity of shrimps

r = quantity of rice

The equation for the total fat will be: the quantity of fat in the serving of shrimps plus the quantity of fat in the serving of rice must be equal to 6g

2s + 6r = 6    (1)

Similarily:

the quantity of iron in the serving of shrimps plus the quantity of iron in the serving of rice must be equal to 10g

5s + 7r = 10     (2)


In order to solve the system, solve for s in equation (1):

s = (6-6r)/2 = 3 - 3r        (3)

Substitute in equation (2):

5(3 - 3r) + 7r = 10

and solve for r:

15 - 15r + 7r = 10

8r = 5

r = 5/8

Substitute the value of r in equation (3):

s = 3 - 3×5/8 = 9/8


Therefore Adam would need 9/8 of a 5oz serving of shrimps and 5/8 of a 1 cup of brown rice for each meal.

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