To find the rate in miles per hour, divide the miles by the hours.
(1 1/2 miles)/(3/5 hour) =
= 3/2 miles * (5/3 hour)
= 5/2 mph
= 2 1/2 mph
Her walking rate is 2 1/2 mph.
(4 1/2 miles) / ( 2 1/2 mph) =
= 9/2 miles / (5/2 mph)
= 9/2 * 2/5 hours
= 9/5 hours
= 1 4/5 hours
From 9:00 a.m. to 11 a.m., she has 2 hours, but she only needs 1 4/5 hours to walk, so she will make it to work on time.
We are given the
perimeter of isosceles trapezoid = 28 in
ratio of length of bases = 5:3
We are to find the lengths of sides of the trapezoid and the diagonal that bisects the angle at the base with a longer length
The formula for the perimeter of an isosceles trapezoid is
P = (1/2) (b1 + b2) h
We are given the ratio
b2/ b1 = 5 /3
b2 = 5/3 b1
Substituting
28 = (1/2) (5/3 b1) h
The height of the trapezoid is expressed in terms of b1
For the diagonal
d² = h² + [(b2 - b1) + (b2 - b1)/2]²
Express h and b2 in terms of b1 and diagonal can be expressed in terms of b1
Answers: Choice A, Choice C
======================================================
Reason:
The distributive rule can be used in reverse to help factor.
One way to do this is to say the following steps
60 - 36w
6*10 - 6*6w
6(10-6w)
Which leads to choice A. To confirm, we can distribute the outer 6 into each term inside the parenthesis.
Similarly, choice C works because...
60 - 36w
12*5 - 12*3w
12(5 - 3w)
It can be confirmed by working the steps backwards.
There are many ways to factor this because we have multiple ways to factor 60 and to factor 36, such that we pull out a common factor each time.
Something like choice B doesn't work because 4(15-8w) = 60-32w. Close but not quite there.
Choice D doesn't work either since 3(20+12w) = 60+36w
Answer:
k=6 and x=-11. Another way to say it is 6,11.
Step-by-step explanation:
I used a System of equations calculator. I put the link below if you ever need it. It has helped me out a lot. Good luck on your test!
https://www.mathpapa.com/system-calculator.html
