We know that class starts 11:25 AM (be sure to note that there are only 60 minutes in an hour).
We know that class lasts 30 minutes.
First of all, let's find the time class ends.
11:25 AM (class starts) + 00:30 (minutes) = 11:55 AM (class ends)
Let's start with Yul's time first.
We know that Yul left when class was done, the time was already calculated when we added the time the class started with the time the class lasted and we got (in the previous line) 11:55 AM was when class ended, therefore, Yul left at 11:55 AM.
Sarah stayed an extra 5 minutes.
Class ended 11:55 AM. Simply add 5 minutes (00:05) to 11:55 AM.
11:55 AM (time class ended) + 00:05 (extra time to talk with the teacher) = 12:00 PM. Therefore, Sarah left at 12:00 PM.
As stated in the beginning of this problem, each hour only lasts 60 minutes, not 100 minutes, so every time the minutes are at the 60 tick mark, a new hour starts (in this case, 12:00 PM).
Yul left at 11:55 AM.
Sarah left at 12:00 PM.
I'm assuming your teacher meant to say "line segment AB" and not "line segment AD". Point D is not given at all. If that assumption holds up, then you can proceed with the rest of the solution below. If not, then you'll have to talk to your teacher. I think its a typo but its possible that there's more context somewhere that I'm not seeing (a diagram maybe?)
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We're given the two points (2,7) and (5,1). The first thing we need to do is find the slope of the line through those points. Lets assign them to be equal to (x1,y1) and (x2,y2), so,
(x1,y1) = (2,7) and (x2,y2) = (5,1)
which further breaks down into these four items:
x1=2
y1=7
x2=5
y2=1
Plug each of those into the slope formula and simplify
m = (y2 - y1)/(x2 - x1)
m = (1 - 7)/(5 - 2)
m = (-6)/(3)
m = -2
The slope is -2. We'll use this to find the y intercept. We'll also use one of the points given to us, say the point (2,7)
(x,y) = (2,7) ---> x = 2 and y = 7
Plug m = -2, x = 2, and y = 7 into the equation below and solve for b
y = m*x + b
7 = -2*2 + b
7 = -4 + b
7 + 4 = -4 + b + 4
11 = b
b = 11
So we figured out that m = -2 is the slope and b = 11 is the y intercept
Therefore, the equation y = mx+b turns into y = -2x+11
Final Answer: y = -2x+11
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Checking the answer:
plug in x = 2 and we get...
y = -2*x + 11
y = -2*2 + 11
y = -4 + 11
y = 7
so that proves (x,y) = (2,7) is on the line y = -2x+11
Plug in x = 5 and we get...
y = -2*x + 11
y = -2*5 + 11
y = -10 + 11
y = 1
so that proves (x,y) = (5,1) is on the line y = -2x+11
Both points are on the same line y = -2x+11 so the answer is confirmed
Answer:
Step-by-step explanation:
<u><em>JeanaShupp </em></u> <- he has the answer thank him
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Answer: 1.6 quarts
Step-by-step explanation:
Given : A radiator contains 8 quarts of fluid, 40% of which is antifreeze.
[40% can be written as 0.40.]
Then, the amount of antifreeze in radiator = (1)
If a radiator contains 8 quarts of fluid with 60% of which is antifreeze.
[60% can be written as 0.60.]
Then, the amount of antifreeze in radiator = (2)
Now subtract (1) from (2) we get,
The amount of fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze :-
Hence, the 1.6 quarts of fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze
ANSWER: 3.5, if both triangles are congruent then HJ should be the same length as AB.
