230 because i think 20% is 200 and 23% is 230. hope this is right, if its wrong i,m sorry.
Answer: a. 5/12 b. 10 hours
Step-by-step explanation:
5/8 x 2/3 = 10/24 = 5/12
she spends 5/12 of the day awake at home
if a day has 24 hours then 5/12 of that is 5/12 x 24 = 10
so she spends 10 hours awake at home
The answer is 225.19 mm since you convert the 11.2 cm to mm which is 112mm and then use the equation pi x r^2 x h
Answer: x=3 and y=−2
Step-by-step explanation:
x=−2y−1;4x−4y=20
Step: Solve x=−2y−1 for x:
Step: Substitute−2y−1 for x in 4x−4y=20:
4x−4y=20
4(−2y−1)−4y=20
−12y−4=20(Simplify both sides of the equation)
−12y−4+4=20+4(Add 4 to both sides)
−12y=24
−12y
−12
=
24
−12
(Divide both sides by -12)
y=−2
Step: Substitute−2 for y x=−2y−1:
x=−2y−1
x=(−2)(−2)−1
x=3(Simplify both sides of the equation)
Answer:
see explanation
Step-by-step explanation:
y = ax + b is the equation in slope- intercept form
where a is the slope of the line and b is the y- intercept
To find a use the slope formula
a = (y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 1) and (x₂, y₂ ) = (1, - 2)
a = 
= - 
= - 0.75, hence
y = - 0.75 + b
To find b substitute either of the 2 points into the equation
using (1, - 2), then
- 2 = - 0.75 + b ⇒ b = - 2 + 0.75 = - 1.25 = - 1 
