Answer:
x = 19, 17
Step-by-step explanation:
(x-18)(x-18)=1
x^2 - 36x + 324=1
x^2 - 36x = -323
x^2 - 36x + 323 = 1
(x-19)(x-17) = 0
x = 19, 17
Answer:
4n + 8 = -48
n = -14
Step-by-step explanation:
Using key words from the problem, you can set up an equation with the proper operations to solve for the variable. Product = multiplication, so the 'product of 4 and a number' = 4n. Increased = addition, so increased by 8 = 4n + 8. The word 'is' means equal to, so:
4n + 8 = -48
In order to solve for 'n', you use inverse (opposite) operations and whatever you do to one side of the equation, you do to the other:
Subtract 8: 4n + 8 - 8 = -48 - 8 or 4n = -56
Divide 4: 4n/4 = -56/4
Solve for 'n': n = -14
Answer:
Step-by-step explanation:
The answer is 21 because 0.250×84=21
Answer:
69.73 (units)
Step-by-step explanation:
Let's find the volume of the prism first.
Prism:
The dimensions of this prism are 6 x 5 x 4.
The formula to calculate the volume of this prism is b * h
b = 24 (6*4)
h = 5
V = 24 * 5
V = 120
Now we need to find the volume of the hole so that we can subtract it from the volume of the prism.
Cylinder:
The hole is a cylinder, with a height of 4 and a radius of 2.
The formula for finding the volume of a cylinder is πr^2 * h
r = 2
h = 4
V = (π * 2^2) * 4
V = 50.27
Now, subtract the volume of the cylinder from the volume of the prism:
120 - 50.27 = 69.73
And that is your answer!
Hope this helps!