A recipe takes 90 min to make. 25% of the time is spent preparing the ingredients. How many minutes are spent preparing?
1 answer:
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The distances between the two points, in units, are given as follows:
7.
8.
9.
10.
The midpoints are given as follows:
11. (7,-4.5).
12. (2,4).
13. (7,0.5).
14. (5.5,-1.5).
<h3>What is the distance between two points?</h3>Suppose that we have two points, and
. The distance between them is given by:
For item 7, the points are (-3,-2) and (-4,-3), hence the distance is:
For item 8, the points are (-3,1) and (5,3), hence the distance is:
For item 9, the points are (-3,0) and (0,-3), hence the distance is:
For item 10, the points are (1,-2) and (4,4), hence the distance is:
The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.
Hence, for item 11, the midpoint is given by:
[0.5(9 + 5), 0.5(1-10)] = (7,-4.5).
For item 12, the midpoint is given by:
[0.5(-5 + 9), 0.5(7 + 1)] = (2,4).
For item 13, the midpoint is given by:
[0.5(9 + 5), 0.5(9 - 8)] = (7,0.5).
For item 14, the midpoint is given by:
[0.5(10 + 1), 0.5(4 - 7)] = (5.5,-1.5).
More can be learned about the distance between two points at brainly.com/question/18345417
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Answer: x = (-3,3), y = (-5,5)
Step-by-step explanation:
Add both of the equations together, for . Now we can divide both sides by 3, getting
. we subtract the first equation from our equation we just got, getting
y= (5,-5). once we plug that in, we get
,
x = (-3,3)
Answer: There are 35 bicycles, 33 tricycles and 50 tandem bicycles.
Step-by-step explanation:
Since we have given that
Number of seats = 135
Number of front handle bars = 118
Number of wheels = 269
Since there are 118 front handle bars.
And we know that each bicycle has 1 front handle bars.
So, total number of bicycles = 118
Now, each bicycle has 2 wheels
So, Number of wheels should be
But here we have 269 wheels , it means it has tricycle which has 3 wheels.
So, Remaining wheels would be
It means 33 bicycles has 3 wheels .
So, Number of tricycles = 33
So, Number of bicycles should be now
Each bicycle has 1 seat
So, number of seats should be 85
But we have 135 seats,
So, remaining seats should be of tandem bicycle.
So, Number of bicycles now becomes
85-50 = 35
Hence, there are 35 bicycles, 33 tricycles and 50 tandem bicycles.