2 years ago

The sum of two numbers is 44. One number is 3 times as large as the other. What are the numbers?

1 answer:

8 0

Your numbers are 11 and 32

We know that:
a + b = 44
and
a = 3b

If we substitute “3b” in for a in the first equation, we get a numerical value for b

3b + b = 44
4b = 44
b = 11

Then we substitute the numerical value of b to solve for a:
a = 3b
a = 3(11) = 33

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2 years ago

A presidential candidate plans to begin her campaign by visiting the capitals in 4 of 42 states. What is the probability that sh

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Answer:

P(she selects the route of four specific capitals) = 1 in 2,686,320 or 3.72 x 10⁻⁷

Step-by-step explanation:

Assuming that the order at which she visits each of the four cities matters, the number of possible routes is the permutation of choosing 4 out of 42 capitals:

$n=\frac{42!}{(42-4)!}\\n=42*41*40*39\\n=2,686,320\ ways$