(2x - 3y) (4x - y) = 8x² - 2xy - 12xy + 3y²
(2x - 3y) (4x - y) = 8x² -14xy + 3y²
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Answer:8x² -14xy + 3y²
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Expand the right side:
Notice that 98 = 2 * 7 * 7, so we have 
and 
.
Then
and
Answer:
a. $0.47 per ounce
b. $0.36 per ounce
c. the gallon size costs less per ounce
Step-by-step explanation:
A unit rate is a rate that is expressed with one unit in the denominator. That is, it is <some amount> per unit. The <some amount> value will generally depend on what unit is chosen. This problem suggests the desired unit is 1 oz of paint.
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<h3>a.</h3>
Unit cost for a quart:
ratio = cost/ounces = $14.99/(32 oz) ≈ $0.468/oz ≈ $0.47/oz
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<h3>b.</h3>
Unit cost for a gallon:
ratio = cost/ounces = $45.99/(120 oz) ≈ $0.359/oz ≈ $0.36/oz
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<h3>c.</h3>
The cost per ounce is less for the gallon size. If at least 3 quarts of paint is needed, then buying it in the gallon size will cost less.
If less than 3 quarts are needed, then a gallon container will cost more than is necessary for the paint required. The "better deal" depends on the amount of paint required.
Answer:
area = 10.28 units²
Step-by-step explanation:
Smallest prime numbers I can think of is 2, 3 & 5 but that will not make a triangle.
3, 5, & 7 will
area = 1/2(7)(2.9375) = 10.28 units²
