Answer: it would take 3.1 months
Step-by-step explanation:
Let m represent the number of months that that it will take either of the runners to have the same amount of money in their accounts.
Let y represent the total amount that runner 1 saves for m months
Let z represent the total amount that runner 2 saves for m months
The first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. This means that the total amount that he will save for m months would be
y = 112 + 45 + 25m
y = 157 + 25m
The second runner has $50 in savings and will save $60 each month. This means that the total amount that he will save for m months would be
z = 50 + 60m
To determine the number of months before the amount in the account of both runners becomes the same, we would equate y to z. It becomes
157 + 25m = 50 + 60m
157 - 50 = 60m - 25m
35m = 107
m = 107/35
m = 3.06
Answer:
Option A 
Step-by-step explanation:
we know that
Applying the Pythagorean Theorem

where
c is the greater side (the hypotenuse)
a and b are the legs
we have
----> the height of the airplane
---> slant distance from the airport
substitute

solve for b



The probability of matching three out of five numbers is 153/33649
<h3>How to determine the probability?</h3>
The numbers are given as:
1 to 23
There are five matching numbers
The probability of getting a match is:
p = 5-k/n where k = 0, 1, 2
While the complement probability is
q = (n - 2)/n
Using the above formulas, the probability of getting from 5 is:
P = 5/23 * 4/22 * 3/21 * 18/20 * 17/19
Evaluate the product
P = 153/33649
Hence, the probability of matching three out of five numbers is 153/33649
Read more about probability at:
brainly.com/question/14290572
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