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goblinko [34]
2 years ago
14

If a, b, and c are rational numbers and a > b, is ac > bc always true? Justify your answer

Mathematics
2 answers:
Mariana [72]2 years ago
8 0
ac> bc is always true. This is beacuse c is multiplied to both a and b, and since a> b then ac will have a higher value than bc. Hence ac> bc is always true under the condition a> b.
MrRissso [65]2 years ago
6 0
AC>BC that’s what i know cause I already did this a wile back in my school hope it helps
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Answer:

C. $1.80

Step-by-step explanation:

Given:

MSRP of a certain item = $60

Percentage of Selling by store A = 20%

Percentage amount will be = \frac{20}{100}\times 60 = \$12

Sales tax = 5% on purchase price

Amount of sales tax = \frac{5}{100}\times 60 = \$3

Total Cost of item at Store A is MSRP of a certain item plus Percentage amount of selling the item plus Amount of Sales tax.

framing in equation form we get;

Total Cost of item at Store A = 60+12+3 =\$75

Also Given:

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Regular price of item at store B = 60+18 = \$78

Percentage of discount of item at store B = 10% on regular price

Amount of discounted item at store B = \frac{10}{100}\times78 = \$7.8

Now regular price of item with discount at store B will be equal to Regular price of item at store B minus Amount of discounted item.

regular price of item with discount at store B = 78-7.8 = \$70.2

Sales tax = 5% on purchase price

Amount of sales tax = \frac{5}{100}\times 60 = \$3

Total Cost of item at Store B is regular price of item with discount at store B plus Amount of Sales tax.

framing in equation form we get;

Total Cost of item at Store B = 70.2+3 =\$73.2

The result when total cost of the item at Store B is subtracted from the total cost of the item at Store A  = $73.2 - $75 = $1.80.

Hence the result is $1.80.

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