The standard form: Ax + By = C
y = 90 - 15x <em>add 15x to both sides</em>
<h3>15x + y = 90</h3>
Well, a yard is equal to 36 inches.
One foot and three inches is equal to 15 inches.
36 - 15 = 21
Hope this helps! :D
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:
9.8 inches
Step-by-step explanation:
<h3>Formula for volume of the sphere is = 4/3πr³</h3><h3>Form and solve the equation for the radius</h3><h3>So: 4/3πr³= 498in³</h3><h3>πr³= 498in³*3/4 which = to 373.5in³</h3><h3>r³= 373.5in³/π</h3><h3>r=∛(373.5in³/π)</h3><h3>calculate r and times the result by 2 for diameter</h3><h3>it will be 9.834...</h3><h3>nearest tenth of an inch means the accuracy is 1 decimal place because nearest tenth= 1/10 or 0.1</h3><h3>So the final answer is 9.8in</h3>
Answer: See explanation
Step-by-step explanation:
Every day at work, Kay walks up 9 flights of stairs. If there are 13 steps in 1 flight of stairs, how many steps does Kay climb in 5 days at work?
The number of steps she walks in a day will be:
= 13 steps × 9
= 117 steps
Number from steps in 5 days will be:
= 117 steps × 5
= 585 steps
If you sleep 7 hours every night how many hours are you AWAKE in a year?
The number for hours awake in a day will be:
= 24 hours - 7 hours
= 17 hours
The number for hours awake in a year will then be:
= 17 hours × 365
= 6205 hours
