Answer:
60
Step-by-step explanation:
12=2⋅2⋅3
15=3⋅5
We see that they both share 3 is their LCM.
We divide each number by their LCM.
123⇒4
153⇒5
We multiply these two quotients and the LCM to get our final answer:
3⋅4⋅5=60
That is our answer!
Hope this helped! :)
Nina's rate is 12.7 mph and Sophia's rate is 10 mph. Therefore, Nina is faster.
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:
m = 30, b = 20
Step-by-step explanation:
1. The equation is written in slope-intercept form, so it follows the following equation: y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = slope.
2. As you can see, 30 is the value that took the place of m, and 20 is the value that took the place of b.
Therefore, m is 30 and b is 20.
