10 Inches
A = p q / 2
p = diagonal 1
q = diagonal 2
2A / q = p
Solve for p
180/18 = 10
Answer:
0
Step-by-step explanation:
ok so first we have to make those denominators equal
15/21 - 15/21
that pretty much answered your question
15/21 - 5/7 = 0
If we say there are 100 cars in a lot (It's an arbitrary number. You can use any number you want), Matthew can wash 100 cars in 14 hours or 7.14 cars an hour. Arianna can wash 100 cars in 11 hours or 9.09 cars an hour. Together, in an hour they can wash 7.14 + 9.09 or 16.23 cars. So to wash 100 cars it would take them 100/16.23 = 6.16 or about 6 hours.
You can do this with variables as well.
Matthew has a rate of x/14 while Arianna has a rate of x/11. Together their rate is x/14 + x/11= x/y
Divide both sides by x, you would get 1/14 + 1/11 = 1/y
Solve for y which would be around 6 hours.
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Answer:
80 miles per hour
Step-by-step explanation:
<em><u>Eastbound</u></em>
r = r - 12
t = 5 hours
d = d_e
<em><u>Westbound</u></em>
r = r
t = 5 hours
d_w = 850 - d
The two distances add up to 850 miles
d_w + d_e = 850 miles
(r * t)_w + ( (r -12)*5 ) = 850 miles
r*5 + (r - 12) * 5 = 850 Pull out 5 as a common factor
5 * ( r + r - 12) = 850 Divide by 5
(r + r - 12) * 5/5 = 850/5 Do the cancellation
2r - 12 = 170 Add 12 to both sides
2r - 12 + 12 = 172 + 12
2r = 184 Divide by 2
r = 92
r = the westbound train = 92 mph
r - 12 = The eastbound train = 80 mph
