-- A rectangle has 4 sides.
-- Each side has the same length as the side directly across from it.
-- So there are two sides that are both the width of the rectangle,
and another two sides that are both the length of the rectangle.
-- In this particular rectangle, when you add up all four sides,
the sum is 32 feet.
-- The width of the rectangle is 9 feet. So there are two sides that are
both 9 feet. When you add those up, you have 18 feet.
-- The REST of the 32 feet belongs to the other two sides.
That much is (32 - 18) = 14 feet. That's what the other two
sides add up to when you add them.
-- The other two sides are equal. So each of them is half of 14 = 7 feet .
This rectangle, or the description of it, is slightly weird.
The length of the rectangle is shorter than the width.
But that's OK. Two sides are 9 feet, and two sides are 7 feet, and
when you add them all up, you get 32 feet, so our solution is correct.
Let them call the sides anything they want to.
Answer:
888
Step-by-step explanation:
Sahil chooses a number, [We'll call it x]
divides it by 8 , [x/8]
adds 8 to the answer. [(x/8) + 8]
Then multiples the answer with 8 . [((x/8) + 8)*8]
He obtains the result as 952 . [((x/8) + 8)*8 = 952]
The number he chooses in the beginning was
((x/8) + 8)*8 = 952
x + 64 = 952
x = 888
CHECK:
Does (888/8 + 8)*8 = 952?
(119)*8 = 952? YES
The number is 888
Answer:
6 Gallons per min
Step-by-step explanation
Unit rate is a fraction that has a one in the denominator
so you have 42/7 = n/1 so to make 7 a 1 , we divide by 7 . We do the same thing on top 42 divided by 7 is 6.
Standard deviation is calculated by
1. calculate mean, m
2. calculate deviation of EACH entry of data set from the mean, i.e.
d=(x-m)
3. calculate mean of square of deviations (d^2)/n to get variance,v
4. take square-root of variance to get standard deviation.
For example,
To find the standard deviation of data set {3,7,8}
1. mean=(3+7+8)/3=6
2. deviations, di={3-6,7-6,8-6}={-3,1,2}
3. squares of deviations, di^2={9,1,4}
4. mean of squares of deviations=(9+1+4)/3=14/3
Standard deviation=sqrt(14/3)=2.16
For the given data set, if you follow the above steps, you would get
sum=400
mean=400/9
variance (mean square of deviations)=8246/81
standard deviation=sqrt(8246/81)=sqrt(8246)/9
Answer:
120 +10w = 75 + 15w, w=weeks, found by adding savings to rate times and unknown variable of weeks and setting equal to each other. 9 wks, $210
Step-by-step explanation:
120 +10w = 75 + 15w
120-75= - 10w+15w
45=5w
45/5=9
9 weeks
120 + 90 = 75 + 135
210= 210
