Step-by-step explanation:
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Answer:
I got -11/15
Step-by-step explanation:
I did 3 (1)/(2)*(2)/(5)-5 (1)/(3)*(2)/(5)
(1) 34.8 liters
(2) $63.55
Solution:
(1) There is a mistake in question. It is 42 liters.
Total gasoline a car can hold = 42 liters
Liters of gasoline filled in beginning of the week = 35.8
Liters of gasoline used during the week = 28.6
Remaining liters of gasoline in the tank = 35.8 – 28.6
= 7.2 liters
Quantity of gasoline need to buy to fill the tank completely
= Total capacity – Remaining gas in the tank
= 42 liters – 7.2 liters
= 34.8 liters
Hence Alberto need to buy 34.8 liters of gasoline to fill the tank.
Option B is the correct answer.
(2)
Shamika earns in first week = $25.75
Shamika earns in next week = $37.80
Total money Shamika have = First week earning + Second week earning
= $25.75 + $37.80
= $63.55
Don't add or subtract spending money, because the question is how much she have from these two weeks.
Hence Shamika have $63.55 from these two weeks.
Answer:
x = 12
Step-by-step explanation:
Solve for x:
(-3 x)/2 - 9 = -27
Put each term in (-3 x)/2 - 9 over the common denominator 2: (-3 x)/2 - 9 = (-18)/2 - (3 x)/2:
(-18)/2 - (3 x)/2 = -27
(-18)/2 - (3 x)/2 = (-3 x - 18)/2:
(-3 x - 18)/2 = -27
Multiply both sides of (-3 x - 18)/2 = -27 by 2:
(2 (-3 x - 18))/2 = -27×2
(2 (-3 x - 18))/2 = 2/2×(-3 x - 18) = -3 x - 18:
-3 x - 18 = -27×2
2 (-27) = -54:
-3 x - 18 = -54
Add 18 to both sides:
(18 - 18) - 3 x = 18 - 54
18 - 18 = 0:
-3 x = 18 - 54
18 - 54 = -36:
-3 x = -36
Divide both sides of -3 x = -36 by -3:
(-3 x)/(-3) = (-36)/(-3)
(-3)/(-3) = 1:
x = (-36)/(-3)
The gcd of -36 and -3 is -3, so (-36)/(-3) = (-3×12)/(-3×1) = (-3)/(-3)×12 = 12:
Answer: x = 12
<span>1/12+3/8y=5/12+5/8y
</span><span>3/8y- 5/8 y = 5/12- 1/12
-2/8y = 4/12
-1/4y = 1/3
y = 1/3 *(-4)
y = - 4/3</span>
