Answer and step-by-step explanation:
a. 4 litres in 5 minutes (litres per minute)
4 litres per 5 minutes means 4/5 litres per 1 min = 0.8 litres per minutes
b. 12 litres in 45 minutes = 12/3 litres in 45/3 minutes = 4 litres per 15 minutes
60 minutes = 4*15 minutes
4 * 4 = 16 litres per hour
c. 800 kilowatt hours in 2 months
1 year = 12 months = 2*6 months
kilowatt per year = 800 * 6 = 4800 kilowatt per year
Hope this helped :3
Answer:
2. (-3f)
3. (4f)
4. x - 11 (not sure if this one is correct)
Step-by-step explanation:
Move -3 to the left of f = -3f
Move 4 to the left of f = 4f
f(x)=x+11 f ( x ) = x + 11
15. 3x - 2y = -2
3x - 3x - 2y = -3x - 2
-2y = -3x - 2
-2 -2
y = 1.5x + 1
y - y₁ = m(x - x₁)
y - 3 = ⁻²/₃(x - (-2))
y - 3 = ⁻²/₃(x + 2)
y - 3 = ²/₃(x) - ²/₃(2)
y - 3 = ⁻²/₃x - 1¹/₃
+ 3 + 3
y = ⁻²/₃x + 1²/₃
16. 230 = 0.2s + 150
- 150 - 150
80 = 0.2s
0.2 0.2
400 = s
17. y = 2x + 2
Answer:
x = 6 sqrt(3)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
6^2+ x^2 = 12^2
36 + x^2 = 144
Subtract 36 from each side
x^2 = 144-36
x^2 =108
Take the square root of each side
sqrt(x^2) = sqrt(108)
x = sqrt(36*3)
x = 6 sqrt(3)
1/4 of 180 gets you the answer 45
