Answer:
h = 12
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
0.75h + 3 = 12
<u>Step 2: Solve for </u><em><u>h</u></em>
- Subtract 3 on both sides: 0.75h = 9
- Divide 0.75 on both sides: h = 12
<u>Step 3: Check</u>
<em>Plug in h into the original equation to verify it's a solution.</em>
- Substitute in <em>h</em>: 0.75(12) + 3 = 12
- Multiply: 9 + 3 = 12
- Add: 12 = 12
Here we see that 12 does indeed equal 12.
∴ h = 12 is a solution of the equation.
Answer:
B. 40 meters
Step-by-step explanation:
— Estimating
The rectangle enclosing the path has sides of length 9 m and 14 m, so its perimeter is 2(9+14) = 46 m. The distance covered will be shorter than that.
The distance from A to C is longer than the distance from D to C, so we know the distance will be longer than 2·14+9 = 37 m.
Only one answer choice fits in the range 37 < d < 46.
____
— Detailed calculation
The distance from B to C is the hypotenuse of a right triangle with sides 9 and 12. You will recognize that these side lengths are 3 times the side lengths of a 3-4-5 right triangle, so the hypotenuse distance is 3·5 = 15 meters.
The circuit length is ...
AB +BC +CD +DA = 2 + 15 + 14 + 9 = 40 . . . . meters
464 inches. Hope this helped! :)
C. 25(-5) = 125 this is the answer
