Answer:
48
Step-by-step explanation:
4m means 4xm, and 2m means 2xm
Now, if m = 8, 4m means 4x8, and 2m means 2x8. (Technically, substituting the number in place of the variable m)
4x8 = 32
2x8 = 16
So the equation now is 32+16
Do the math and you get 48
U = {points on the coordinate plane}
A = {solutions to the equation y = 2x + 5}
B = {points on the line y = mx}
Value of the slope m so that {2x + 5} ∩ {mx} =Ф
This means that {2x + 5} never intersects with {mx}
To that end m=2 (same slope), if so the 2 linear functions:
y = 2x+5 and y = 2x are PARALLEL
125=5 packets of pencils
each package contains 8 red
5 packages contain 5×8=40
In 125 pencils 40 are red.
Answer:
1733.28
Step-by-step explanation:
we want to find the surface area of the cylinder
We are given:
diameter = 12in
height = 40in
formula to find surface area of a cylinder: SA = 2πr^2 + 2πrh (where h = height and r = radius)
in order to find the SA of a cylinder we need to know the radius
we are given that the diameter is 12
we can acquire the measure of the radius by dividing the diameter by 2 ( this is because the radius is equal to half of the diameter )
so r = 12/2 = 6
now to find the surface area,
we simply plug in the values of the radius and height into the SA of a cylinder formula
SA = 2πr^2 + 2πrh
r = 6
h = 40
( note it says use 3.14 for π )
substitute values
SA = 2(3.14)(6)^2 + 2(3.14)(6)(40)
if you plug this into a calculator you get that the surface area is 1,733.28
Answer:
x = 10/27
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
9/5x = 2/3
<u>Step 2: Solve for </u><em><u>x</u></em>
- Divide both sides by 9/5: x = 10/27
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 9/5(10/27) = 2/3
- Multiply: 90/135 = 2/3
- Simplify: 2/3 = 2/3
And we have our final answer!
