A)2y - 1/2 = -1/3
2y=-1/3+1/2
FIND THE LCM TO MAKE THE FRACTIONS LIKE FRACTIONS
LCM OF 3 AND 2 IS 6
-1/3*2=-2/6
1/2*3=3/6
-2/6+3/6=1/6
2y=1/6
y=1/6 ÷ 2
TAKING THE RECIPROCAL,
RECIPROCAL OF 2 IS 1/2
y=1/6*1/2
y=1/12
B) 6 + 5 (a - 1) = 30
6+(5)*(a)+(5)*(−1)=30(Distribute)
6+5a+−5=30
(5a)+(6+−5)=30(Combine Like Terms)
5a+1=30
5a=30-1
5a=29
a=29/5
15.sum of three consecutive integers=48
let the numbers be x ,x+1,x+2
x+x+1+x+2==48
3x+3=48
3x=48-3
3x=45
x=45/3
x=15
x+1=15+1=16
x+2=15+2=17
the numbers are 15,16,17
Answer:
0.00000763
Step-by-step explanation:
7 accounts for 1 place
6 - 1 = 5, therefore 5 0s after the decimal point
Well, since 3 candles are 19.50, simply divide. This will make a ratio so that 1 candle will equal 6.50 per candle.
19.50 / 3 candles = 6.50 per candle.
The capacity of the tank in gallons is 24 gallons.
<h3>What is an Equation ?</h3>
An equation is a mathematical statement formed when two algebraic expressions are equated by an equal sign.
It is given in the question that
When four gallons are added to a tank that is one-third full
the tank is then one-half full.
Let the capacity of the tank is x gallons
The equation can be formed for the capacity of the tank as
(1/3)x +4 = (1/2)x
(1/3)x -(1/2)x = -4
(1/6)x = 4
x = 24 gallons.
Therefore the capacity of the tank in gallons is 24 gallons.
To know more about Equation
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Answer:
A = P(1 + r)t
Step-by-step explanation:
account balance, to the nearest cent, after: Year 1? Year 2? Year 3? Year 4? ... -To calculate compound interest we use the formula below where A = total balance after t years, P = principal amount (amount borrowed or invested), r = interest ... annually. a) How much money will Jack have after 1 year? b) How much money ...
