Answer:
r = 9
Step-by-step explanation:
cross multiply
9 * r = 81
9r = 81
divide both sides by 9
r= 81/9
r = 9
Answer:
49
Step-by-step explanation:
26- (-23)
26 + 23 This is because when you have a negative times a negative it equals a positive.
Answer:
$45
Step-by-step explanation:
30% ÷100 =0.3. 0.3×150= 45
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.
Step-by-step explanation:
a) 2/5 × 5/7 = 10/35 ➡ 2/7 (if needed to simplify)
b) 16/25 × 2/4 = 32/100 ➡ 8/25
c) 15/6 ÷ 3/15 ➡ 15/6 × 15/3 = 25/2
d) 4/11 × 12/9 = 16/33
e) 3/5 × 7/12 = 7/20
f) 9/27 × 2/6 ➡ 9/27 × 6/2 = 3
