Answer:
C
Step-by-step explanation:
If x is the average (arithmetic mean) of m and 9, y is the average of 2m and 15, and z is the average of 3m and 18,
x=(m+9)/2
y=(2m+15)/2
z=(3m+18)/2
the average of x, y, and z
=(x+y+z)/3
=(m+9+2m+15+3m+18)/3
=(6m+42)/3
=2m+14
ans is C
The mechanical advantage of the block and tackle is that it is easier to lift a lock using multiple parts of the rope that go around the system of pulleys. If there are no friction, the mechanical advantage is exactly equal to the number of parts of the rope that are attached to the load.
Answer: 16/45 of the spool
Step-by-step explanation:
2/5 of 8/9
2/5 * 8/9 = 16/45 (multiply numerators, and multiply denominators)
Cannot be further simplified.
<h3>
Answer: x = -12</h3>
=======================================================
Work Shown:
Let's label angle 2 as y, so y = x+132.
Also, let's add another variable z. We'll make z equal to the angle adjacent and supplementary to angle y. So y+z = 180
Solve for z to get
z = 180-y
z = 180-(x+132)
z = 180-x-132
z = 48-x
This angle z is added to the 90 degree angle to get the measure of the exterior angle 150 degrees. This is through the remote interior angle theorem.
So,
z+90 = 150
48-x+90 = 150
138-x = 150
-x = 150-138
-x = 12
x = -12
The <em>correct answer</em> is:
2 pieces, with 1/12 m left over.
Explanation:
To find the number of 1/3 meter pieces she can cut from a 3/4 meter ribbon, we divide:
3/4÷1/3
To divide fractions, flip the second one and multiply:
3/4×3/1
To multiply fractions, multiply straight across:
(3*3)/(4*1) = 9/4
4 will go into 9 two times with 1 left over, so this simplifies to 2 1/4; this means she can cut 2 pieces this length.
2 pieces that are 1/3 meter long is a total of 2(1/3) = 2/3 m. To find out how much is left, subtract:
3/4 - 2/3
Common denominator is 12:
3/4 = 9/12 and 2/3 = 8/12
9/12 - 8/12 = 1/12
There is 1/12 of a meter left.