final exam?

Question

A dozen screws weighs 12 oz. Find the weight of 360 such screws in pounds.


Find the area of a circle with the diamtere of 7.9 cm. Use pi.

Compute the volume of a cube with edges 5.2 cm long.

simplify root 36/64

Answer 1

1) 16 screws weigh 1 pound. 360/16 = 22.5 pounds

2) Area = 7.9*Pi = about 24.82

3) 5.2^3 = 104.608 cm^3

4) 6/8 = 3/4

Answer 2

A dozen is 12. If 12 screws weigh 12 ounces, then 360 screws weigh 360 ounces. There are 16 ounces in a pound (avoirdupois). 360 divided by 16 is 22.5 pounds.

The area enclosed by a circle is equal to the square of the radius, multiplied by pi. The radius is half of the diameter, 3.95 cm. 3.95 squared is 15.6025 cm². That, multiplied by pi, is approximately 14.0167 cm².

The volume of a cube is the cube of the length of an edge. The cube of 5.2 is 140.608 cm².

Your spacing is very difficult to interpret. The order of operations tells us to evaluate roots before division. The square root (I assume square root?) of 36 is 6. 6 divided by 64 is 0.09375.

Answer 3

12 screws weigh 12 oz => 1 screw weighs 1 oz, hence 360 screws = 360 oz
If there are 16 oz in a pound, you'll get your answer when you divide 360 by 16.

Area of a circle = pi*radius^2
radius = 1/2 of the diameter
Isn't this in your math book?

Volume of a cube is computed by multiplying Length X Height X Width
A cube's Length/Height/Width all have the same value (in this case 5.2 cm)
You'll get your answer when you multiply 5.2 * 5.2 * 5.2

What's the square root of 36?
What's the square root of 64?
Be sure to divide the fraction's numerator and denominator by their greatest common factor to come up with the lowest possible values for each.

This is really simple math. I would encourage you to find a local tutor, ask your instructor lots of questions, etc. You'll get more out of it, and the learning will stick, when you focus and put a good honest effort into solving the problems.

Answer 4

First Problem

(12 ounces / 12 screws)(360 screws) = [(12)(360) / 12 ounces] = 360 ounces

360 ounces (1 pound / 16 ounces) = [(360)(1) / 16] pounds = 22.5 pounds

Second Problem

Area of a circle: A = pi(radius)^2

Since the radius is half the measure of the diameter,

Area of a circle: A = pi(diameter / 2)^2

A = pi(diameter / 2)^2
A = pi(7.9 / 2)^2
A = pi(3.95)^2
A = pi(15.6025) cm squared or A = 15.6025(pi) cm squared

Third problem

Volume of a cube with edge length e is: V = e^3

V = e^3
V = (5.2)^3
V = (5.2)(5.2)(5.2)
V= 140.608 cm cubed

Fourth Problem

sqrt (36 / 64) = sqrt (36) / sqrt (64) = 6 / 8 = 3 / 4

Answer 5

Question1
12 screws<------->12 oz
360 screws<------>(360/12) x 12 oz = 360 oz
360 oz = 360 / 16 lb = 90 / 4 lb = 22.5 lb

Question 2
r = 7.9 / 2 cm = 3.95 cm
A = π.r²
A = π x 3.95² cm²
A = 49 cm²

Question 3
V = 5.2³ cm³
V = 140.6 cm³

Question 4
√(36/64) = 6 / 8 = 3 / 4 = 0.75

Answer 6

1. 22.5 lbs
2.12.403 cm squared
3. 140.603 cm. cubed
4. 36 sqrt=6
64 sqrt= 8
or
36 diveded by 64 = 0.5625 sqrt = 0.75

oppppsss....if u want 36/6 in simpelest terms, you get 13 over 32 or 13/32

Answer 7

1st ones answer is 22. 5 pounds
2nd ones answer is 48. 99185 sq. cm
3rd ones answer is 140. 6080 cubic cm
4th ones answer is 3/4