The formula which relates Distance, av.Speed and Time is
The maximal Distance would be covered if the average speed was 6.3 miles per hour.
In that case D=6.3 (mi/h) * 2 h = 12.6 mi
thus, if x represents the number of miles, x≤12.6 mi
Answer: x≤12.6 mi
Answer:
x = 27/16
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
x + 5/9x = 2(3 - x)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute 2: x + 5/9x = 6 - 2x
- Combine like terms: 14/9x = 6 - 2x
- Add 2x on both sides: 32/9x = 6
- Divide 32/9 on both sides: x = 27/16
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 27/16 + 5/9(27/16) = 2(3 - 27/16)
- Multiply: 27/16 + 15/16 = 2(3 - 27/16)
- Subtract: 27/16 + 15/16 = 2(21/16)
- Multiply: 27/16 + 15/16 = 21/8
- Add: 21/8 = 21/8
Here we see that 21/8 does indeed equal 21/8.
∴ x = 27/16 is a solution to the equation.
It will take 15 minutes to fill the ship to 75% of its capacity
Answer:
5 miles
Step-by-step explanation:
since she hopped in yards you must mulitiply both numbers 3520 and 5280 by 3 since there are three feet in a yard. then add together then divide the sum by 5280 since a mile is 5280 feet.
3520 X 3 = 10560
5280 X 3 = 15840
10560 + 15840 = 26400
26400/ 5280 = 5
9:00 am to 1:00 pm is 4 hours.
The temperature dropped 2 degrees every hour so 2 x 4 = 8 total degrees.
Add 8 degrees to the final temperature to find the starting temperature.
-13 + 8 = -5 degrees at 9:00 am.
