Ms. Watson's age is 5 years more than 2 1/2 times her son's age. She is 55 years old. How old is her son, in years?
1 answer:
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Answer:
300 miles
Step-by-step explanation:
Let
x ----> the number of miles
y ----> the total cost for rent a car
we know that
The equation of the line in slope intercept form is equal to
where
m is the slope or unit rate
b is the y-intercept or initial value
<u><em>Prestige car rentals</em></u>
we have that
The slope is equal to
The y-intercept is
therefore
-----> equation A
<u><em>Gateway auto</em></u>
we have that
The slope is equal to
The y-intercept is
therefore
-----> equation B
For what number of miles both companies charge the same price>
Equate equation A and equation B
solve for x
<u>Given</u>:
The given triangle QPO is a right triangle.
The length of QP is 5 units.
The length of OP is (x + 5) units.
The length of QO is (x + 6) units.
We need to determine the hypotenuse of the triangle QPO.
<u>Value of x:</u>
The value of x can be determined using the Pythagorean theorem.
Thus, we have;
Substituting the values, we get;
Expanding, we get;
Adding the like terms, we get;
Thus, the value of x is 7.
<u>Length of the hypotenuse:</u>
The hypotenuse of the triangle QPO is QO.
Substituting x = 7 in the length of QO, we get;
Thus, the length of the hypotenuse is 13 units.
Hence, Option D is the correct answer.