Answer: Approximately 54.7826 mph
As a fraction, this average speed is exactly 1260/23 mph.
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Work Shown:
"Alice drove 30 miles...at 45 mph". This means
t = d/r
t = 30/45
t = 2/3
She drove for 2/3 of an hour, which is (2/3)*60 = 40 minutes.
Then "she drove home at 70 mph". She drove the same distance, meaning,
t = d/r
t = 30/70
t = 3/7
She drove for 3/7 of an hour, which is roughly (3/7)*60 = 25.714 minutes.
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Add up the time values
(2/3 hr) + (3/7 hr)
(2/3 + 3/7) hr
(14/21 + 9/21) hr
23/21 hr
She spent 23/21 of an hour driving going to the auto shop and then back home. The total distance she traveled was 30+30 = 60 miles.
Use these values to find the speed
r = d/t
r = d divided by t
r = 60 divided by (23/21)
r = (60/1) divided by (23/21)
r = (60/1) * (21/23)
r = (60*21)/(1*23)
r = 1260/23
r = 54.7826
Her average speed for the round trip is about 54.7826 mph.
Answer:
A)
B)
Step-by-step explanation:
AB has length a and is divided by points P and Q into AP , PQ , and QB , such that AP = 2PQ = 2QB
A) Therefore, AP = 2QB
QB = AP/2
The midpoint of QB = QB/2 = (AP/2)/2 = AP/4
AP = 2PQ, Therefore PQ = AP/2
Since the length of AB = a
AB = AP + PQ + QB = a
AP + AP/2 + AP/2 = a
AP + AP = a
2AP = a
AP = a/2
The distance between point A and the midpoint of segment QB = AP + PQ + QB/2 = AP + AP/2 + AP/4 = 7/4(AP)
But AP = a/2
Therefore The distance between point A and the midpoint of segment QB = 7/4(a/2)=
B)
the distance between the midpoints of segments AP and QB = AP/2 + PQ + QB/2 = AP/2 + AP/2 + AP/4 = 5/4(AP)
But AP = a/2
Therefore the distance between the midpoints of segments AP and QB = 5/4(AP) =
Answer:
The answer is ""
Step-by-step explanation:
Given:
let, ? = x then,
Answer:
28 units squared
Step-by-step explanation:
It becomes a lot easier if you just try to plot the points on an axis, but i'll try to explain.
A and B are x-intercepts and the bottom two corners of the rectangle. C and D are the top two corners of the rectangle. Like any other case, to find the area, you need just two things:
1) height
2) width
To find the width:
Consider the distance between A and B - the bottom 2 corners. The coordinates are (2,0) and (6,0). Since we are trying to work out the width, just worry about the x-values. So, 6-2 = 4 and that is the width.
To find the height:
We'll take coordinates B and C - the bottom and top right corners of the rectangle. Coordinates are (6,0) and (6,7). Since we are trying to work out the height, just look at the y-values. So, 7 (top corner) - 0 (bottom corner) = 7, which is the height.
To figure out area:
Just multiply width by height, so:
4 x 7 = 28
And the area is 28 units squared. Change the units into whatever unit of measurement they give you (m, cm, mm etc.)
Hope this helped :)
Answer:
One pound of jelly beans and one pound of gummy worms candy cost $6 each
Step-by-step explanation:
Given
Let
Jelly Beans
Gummy worms
So, we have:
Brook
Ken
Make J the subject in the first equation
Substitute in
Open bracket
Collect like terms
Divide both sides by -26
Substitute in