Well every different time you just add by 4
1 gallon = 16 cups.
To find how many gallons of eggnog she has: divide 32 by 16:
32/16 = 2
So miss mac has 2 gallons of eggnog.
The answer is 2 gallons.
Answer:
Step-by-step explanation:
We have given:
√2x+3 - √x+1 = 1
First of all isolate the square root of the left hand side:
√2x+3 = √x+1 +1
Now take square on both sides.
(√2x+3)^2 = (√x+1 +1)^2
Open the R.H.S by squaring formula.
∴(a+b)^2 = a^2+2ab+b^2
2x+3 = (√x+1)^2 + 2(√x+1)(1)+(1)^2
2x+3 = x+1 +2√x+1 +1
2x+3 = x+2 +2√x+1
Combine the like terms:
2x-x+3-2 = 2√x+1
x+1 = 2√x+1
Take square on both sides
(x+1)^2 = (2√x+1)^2
x²+2x+1 = 4x+4
x²+2x-4x+1-4 = 0
x²-2x-3 = 0
Now solve the quadratic equation:
a = 1 , b= -2 , c = -3
x = -b+/-√b²-4ac/2a
x = -(-2)+/-√(-2)² - 4(1)(-3) / 2(1)
x = 2 +/- √4+12 / 2
x = 2+/- √16/2
x = 2+/- 4 /2
x = 2+4/2 , x = 2-4/2
x = 6/2 , x = -2/2
x = 3 , x = -1
The solutions we get is (3, -1).
Answer:
86.6
Step-by-step explanation:
hope this helps :)
Triangle SET is similar to triangle SAR, so corresponding sides have the same ratio. This means
... ST : SR = ET : AR = 8.19 : 6.37
Then ST : TR = 8.19 : (6.37+8.19) = 8.19 : 14.56
Using division symbols, this is
... ST/TR = 8.19/14.56
Multiplying by TR gives
... ST = TR×(8.19/14.56) = 20.8×8.19/14.56
... ST = 11.7