Answer: The correct option is (B). 72.
Step-by-step explanation: Given that a yogurt shop offers 6 different flavors of frozen yogurt and 12 different toppings.
We are to find the number of choices that are possible for a single serving of frozen yogurt with one topping.
We are to choose one frozen yogurt and one topping.
Since we have 6 different options for frozen yogurt and 12 different options for toppings, so the number of choices will be
Thus, there are 72 choices possible for a single serving of frozen yogurt with one topping.
Option (B) is correct.
Answer:
140
Step-by-step explanation:
We have been given two fractions and
. We are asked to find the least common denominator of both fractions.
To find the least common denominator of both fractions, we will find least common multiple of 20 and 28.
Prime factorization of 20:
Prime factorization of 28:
Least common multiple of 20 and 28 would be: .
Therefore, the least common denominator of both fractions would be 140.
Answer:
ab = 1
Step-by-step explanation:
A Reciprocal of a number is a number which when multiplied by the original number yields the multiplicative number, 1.
So the reciprocal of x would be x⁻¹ or ¹⁄ₓ
The information we are given states that the sum of the two non-zero numbers a and b equals the sum of their reciprocals.
So we can write this into an equation and solve,
(See image)
Once we solve, we get the equation (ab-1)(a+b) = 0
We are given info that a+b≠0
So for the above equation to be true, ab-1 has to equal 0
For <em>this</em> to be true, the product ab must equal 1
Martin will earn $350 for 28 hours of work.
Step-by-step explanation:
Given,
Amount earned in 7 hours = $87.50
Ratio of time to amount earned = 7:87.50
Let,
x be the amount earned in 28 hours.
Ratio of time to amount earned = 28:x
Using proportion;
Ratio of time to amount earned :: Ratio of time to amount earned
Product of mean = Product of extreme
Dividing both sides by 7
Martin will earn $350 for 28 hours of work.
Keywords: ratio, proportion
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