Answer:
y = 5x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1, 8)
m = = 5
Note the line crosses the y- axis at (0, 3) ⇒ c = 3
y = 5x + 3 ← equation in slope- intercept form
You have a bag containing 8 + 20 = 28 marbles.
After you pull a black marble you have 28 - 1 = 27 remaining marbles.
There are 20 yellow marbles in the bag.
The probability of pulling a yellow marble is now
Answer:
x=26
Step-by-step explanation:
4x-8+34+76-x=180
4x-x-8+34+76=180
3x+102=180
3x=180-102
3x=78
x=78/3
x=26
Answer:
The radius of the water bottle is 2.72cm
Step-by-step explanation:
In this question, we are concerned with calculating what the radius of the cylindrical water bottle is given its volume and height.
Mathematically, the volume of a cylinder is V = pi * r^2 * h
From the question, we know that V = 179 cm^3. , h = 7.7cm while r = ?
we substitute these values into the volume equation.
179 = pi * r^2 * 7.7
179 = 3.14 * r^2 * 7.7
179 = 24.178 * r^2
r^2 = 179/24.178
r^2 = 7.403
r = square root 7.403
r = 2.72 cm
Answer:
62.83185
Step-by-step explanation:
C=2πr=2·π·10≈62.83185