Let c represent the speed of the current.
time = distance/speed
Upriver, the current is subtracted from the canoe speed; downriver, it adds.
6 = 32/(12 -c) +32/(12 +c)
6(12² -c²) = 32(12 +c) +32(12 -c) . . . . . multiply by (12 +c)(12 -c)
0 = 6c² -96 . . . . . . . . . . . . . . . . . . . . . . subtract the left side
96/6 = c² . . . . . . . . . . . . . . . . . . . . . . . . add 96, divide by 6
4 = c . . . . . . . . . . . . . . . . . . . . . . . . . . . . take the square root
The rate of the current is 4 mph.
The student does a work of 500 Newton meter on the box.
Step-by-step explanation:
Given,
Weight of box of books = force = 200 N
Distance the box is lifted = 2.5 m
Work done = Force * distance
Work done = 
Work done = 500 Newton-meter
Newton meter is same as Joule.
Work done = 500 Joules
The student does a work of 500 Newton meter on the box.
Keywords: multiplication, work done
Learn more about multiplication at:
#LearnwithBrainly
<span>5×(2-x)+9-7x
=5</span>×2-5<span>×x+9-7x
=10-5x+9-7x
=10+9-(5x+7x)
=19-12x
That's your solution. ^_^</span>
Answer:
A. m = -2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Slope Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from graph.</em>
Point (0, 0)
Point (1, -2)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope<em> m</em>
- Substitute in points [SF]:

- [Fraction] Subtract:

- [Fraction] Divide:
