Let's use the variable n for time (in hours)
70n + 80n = 270
150n = 270
n = 1.8
It will take 1.8 hours, or 1 hour and 48 minutes
The difference between the solution to the equation x² = a is 30.
x² = a
x = √a or x = -√a.
The difference between the solutions satisfies the condition
√a - (-√a) = 30
2√a = 30
√a = 15
a = 15² = 225
Check the answer.
When x = +√a,
x² = (√a)² = a Correct
When x = -√a,
x² = (-√a)² = a Correct
Answer: a = 225, and the answer checks out to be correct.
Answer:
0.05(2x +4) +0.25x =2.65
Step-by-step explanation:
The decimals are in the right places. A. would have been correct but it would have had to be 265 instead of 2.65. They put the decimals in the incorrect place.
4 - (x+2) < -3(x+4)
4 -1(x) -1(2) < -3(x) -3(4)
4 - x - 2 < -3x -12
<u> +3x +3x </u>
<u />2 + 2x < -12
<u>-2 -2
</u> 2x < -14
<u /> <u> ÷2 ÷2 </u>
x < -7
assume that x = -8
4 - (-8 + 2) < -3(-8 + 4)
4 - (-6) < -3(-4)
4 + 6 < 12
10 < 12 the inequality is true.
