Simplify the following:
(3 sqrt(2) - 4)/(sqrt(3) - 2)
Multiply numerator and denominator of (3 sqrt(2) - 4)/(sqrt(3) - 2) by -1:
-(3 sqrt(2) - 4)/(2 - sqrt(3))
-(3 sqrt(2) - 4) = 4 - 3 sqrt(2):
(4 - 3 sqrt(2))/(2 - sqrt(3))
Multiply numerator and denominator of (4 - 3 sqrt(2))/(2 - sqrt(3)) by sqrt(3) + 2:
((4 - 3 sqrt(2)) (sqrt(3) + 2))/((2 - sqrt(3)) (sqrt(3) + 2))
(2 - sqrt(3)) (sqrt(3) + 2) = 2×2 + 2 sqrt(3) - sqrt(3)×2 - sqrt(3) sqrt(3) = 4 + 2 sqrt(3) - 2 sqrt(3) - 3 = 1:
((4 - 3 sqrt(2)) (sqrt(3) + 2))/1
((4 - 3 sqrt(2)) (sqrt(3) + 2))/1 = (4 - 3 sqrt(2)) (sqrt(3) + 2):
Answer: (4 - 3 sqrt(2)) (sqrt(3) + 2)
You must earn 243 points to have earned 93% of all possible points.
We first multiply each percentage on the previous tests by 150:
0.88*150 = 132
0.94*150 = 141
0.9*150 = 135
The total number of points possible is given by adding up the possible points for the three previous tests and the 250 for the last test:
150+150+150+250 = 700
93% of the 700 points would be 0.93(700) = 651 points.
Now we have 132+141+135+x (last test) = 651
408 + x = 651
Subtract 408 from both sides:
408+x-408 = 651-408
x = 243
Answer: C. Nine Months, 9/12 =
9÷12 = 0.75
Step-by-step explanation:
Hi, to answer this question we have to convert the fraction into decimals and compare:
A. Three Months, 1/4 = 1÷4 = 0.25
B. Six Months, 6/12 = 6÷12 =0.5
C. Nine Months, 9/12 = 9÷12 = 0.75
D. 1 Month, 1/12 =1÷12 = 0.083333
C. Nine Months, 9/12 = 9÷12 = 0.75
Feel free to ask for more if needed or if you did not understand something.
Original price = x
x - .2x = 200 ← original price - discount amount = sale price
.8x = 200 ← 1x - 0.2x = .8x
x = 250 ← divided both sides by .8
The original price was $250
Answer:
2x-7
Step-by-step explanation:
