Answer:
<u>The solutions to this quadratic equation are 10 and 3.</u>
Step-by-step explanation:
1. Let's recall the formula for solving this type of equations, called quadratic equations:
x = ( - b +/- √ b² - 4ac)/ 2a
The equation given is x2 – 13x + 30 = 0,
where a = 1, b = - 13 and c = 30
Now replacing with the real values, we have
x = [ - (-13) +/- √ (-13)² - 4 * 1 * 30] / 2 * 1
x = [ 13 +/- √ 169 - 120] / 2
x = [13 +/- √ 49]/ 2
x = [ 13 +/- 7 ]/ 2
<u>x₁ = 13 + 7/2 = 20/2 = 10</u>
<u>x₂ = 13 - 7/2 = 6/2 = 3</u>
Answer:
20.83 yard
Step-by-step explanation:
<u>Calculate Cubic Yards</u>
Calculate your area
Calculate your volume: Multiply area times the depth to get volume in cubic feet
Calculate your cubic yards: Divide cubic feet by 27 to convert to cubic yards and this is your answer
Where ft2 = square foot, ft3 = cubic foot, yd3 = cubic yard
Total yards = 5[x] + x + 8
<u>Solve</u>
133 = 6x + 8
6x = 125
x = 20.83 yard
Therefore, the Cyclone cleared 20.83 yards on the first day.
Answer: I think the answer is $33.42
Explanation: If it’s $0.03 for every hour and there is only 11.14 hours used a day just multiply 11.14 by .03 and you get .3342 then you move the decimal over 2 spaces to get 33.42
Step-by-step explanation:
% calculations are totally easy, if you remember to always find and the use 1%.
100% = $2.85
1% = 100%/100 = 2.85/100 = 0.0285
the price difference was
2.91 - 2.85 = $0.06
how many % are these $0.06 compared to yesterday's price ?
that is how many times 1% can fit into this number.
0.06 / 0.0285 = 2.105263158...%
so, rounded this is 2.1%
Answer: 3:35
Step-by-step explanation:
