4y - x = 5 + 2y ..... (1)
3x + 7y = 24 ..... (2)
by grouping like terms in (1)
4y - x = 5 + 2y
4y - 2y - x = 5
<span>-x + 2y = 5 </span> ..... (1a)
by multiplying (1a) through by -3
(-3)(-x) + 2(-3)y = 5(-3)
3x - 6y = -15 ..... (1b)
by subtracting 1a from 2
3x -3x + 7y - (-6y) = 24 - (-15)
13y = 39
⇒ y = 3
by substituting y=3 into (2)
3x + 7(3) = 24
3x = 24 - 21
3x = 3
⇒ x = 1
∴ solution to the system is x=1 when y = 3
Answer:
D. Mean absolute deviation
Step-by-step explanation:
Median gives us : 159
Range gives us: 680 - 127 = 553
mean gives us :
127+137+159+188+680 = 1291
1291 / 5
= 258.2
MAD gives us the mean deviation (avg change from the mean):
mean
= 258.2
258.2 - 127 =131.2
258.2 - 137 =121.2
258.2 - 159 =99.2
258.2 - 188 =70.2
680 - 258.2
=421.8
Find the mean of the variances:
70.2+99.2+121.2+131.2+421.8 = 843.6
843.6 / 5
= 168.72
Mad = 258.2 +- 168.72
Answer:
Area of the rectangle = 144 square inches
Step-by-step explanation:
Area of a rectangle = length × width
Width = 4 inches
Length = 3 feet
1 feet = 12 inches
3 feet = 36 inches
Area of a rectangle = length × width
= 36 inches × 4 inches
= 144 square inches
Therefore,
Area of the rectangle = 144 square inches
Answer:
a) 4106.25 gallons
b) $46
Step-by-step explanation:
We are given the following in the question:
Leakage rate of faucet = 1 oz per minute
Cost of water = $11.20 per 1000 gallons
1 gallon = 128 oz
a) water are wasted in a year
1 hour = 60 minutes
1 day = 24 hours
1 year = 365 days
Amount of water wasted =
Thus, 4106.25 gallons of water is wasted every year.
b) additional money spent
Thus, approximately $46 is the additional money spent on water bill.
Answer:
4/9 = 44/99
10/11 = 90/99
Step-by-step explanation:
44/99=90/99
