Answer: Micheal's average Speed =6.885 miles per hour
Step-by-step explanation:
Speed= Distance /time
Given the distance he ran as = 5 1/4 miles
And Time taken = 45 3/4 minutes
changing to hours becomes
60 mins = 1 hour
45 3/ 4 mins = 45 3/4 mins/ 60mins x 1hour
= 45.75 /60 = 0.7625hours
Therefore Micheal's average Speed= Distance /time
=5 1/4miles / 0.7625hours = 5.25/ 0.7625
=6.885 miles per hour
approximately 7 miles/hour.
Answer:
The fisrt net, a, has a surface are of 160 inches
Step-by-step explanation:
10 / 2 = 5
5 * 3 = 15
15 * 4 = 60
10 * 10 = 100
100 + 60 = <u>160 inches</u>
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Answer:
#1: x = 3; #2 c = 1/2; #3 = x = 22; #4 is correct (x = -8)
Step-by-step explanation:
for the first equation everything was right until 22x = 66
after
22x = 66
you must divide everything by 22
x = 3
that is for #1
for the second equation you copied down the question wrong
the negative is still there
6c - 8 - 2c = -6
combine 6c and -2c
4c - 8 = -6
the negative remains on the 8
add 8 to both sides
4c = 2
divide 4 to both sides
c = 2/4 or just 1/2
for the third equation you must first combine like terms
-3x + 25 + x + 21 = 2
combine -3x and x & 25 and 21
-3x + x = -2x
25 + 21 = 46
-2x + 46 = 2
then subtract 46 from both sides
-2x = -44
now divide both sides by -2
x = 22
that is your answer
number four should be correct
The interval would be from 87.8 to 124.8.
68% of the data fall within one standard deviation of the mean, so we calculate
106.3 +/- 18.5:
106.3 - 18.5 = 87.8
106.3 + 18.5 = 124.8
3/(x-3)=x/(x-3)-3/2
6/2(x-3)=2x/2(x-3)-3(x-3)/2(x-3)
6=2x-3(x-3)
6=2x-3x+9
x=3
x=3 makes the denominator x-3 a zero, so the solution is extraneous,
