By using the associative property [(5*3)*12] is equal to
[5*(3*12)] .
Option (A) is correct .
Step-by-step explanation:
Definition of associative property of multiplication
Let us assume that x , y and z be the three real numbers .
x × (y × z ) = (x × y) × z
This is called the associative property .
As given the expression be as follow
= [(5*3)*12]
Here
x = 5 , y = 3 , z = 12
By using the associative property
[(5*3)*12] = [5*(3*12)]
Therefore by using the associative property [(5*3)*12] is equal to
[5*(3*12)] .
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The length of the line is the difference between the endpoints of the line
The length of each line to the nearest fourth inch is 0.25 inch
<h3>How to measure the length of each line</h3>
The length of the horizontal line is given as:
Length = 2 inches
This is calculated as:
Length = 3 inches - 1 inch
Length = 2 inches
8 lines are to be drawn between the 1 inch and 3 inches point.
So, the length (l) of each line is:

Simplify the fraction

Divide

Hence, the length of each line to the nearest fourth inch is 0.25 inch
Read more about line measurements at:
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<span>The function can be described as
b(p)= player receives 10 bonus points
</span>b(p)= p+10<span>
s(p)= increases 5% of the player’s current points
</span>s(p)= <span>p*(100%+5%)= p*1.05
then </span><span> (s ∘ b)(p) would be
</span><span>s(p)= p*1.05
(s ∘ b)(p)= (p+10)*1.05
</span>(s ∘ b)(p)= 1.05p+10.5
Answer:
A.) 1018 square inches
Step-by-step explanation:
The largest sphere will have a diameter equaling the length of the cube (see picture).
If the side length of the cube is 18 inches, the diameter of the sphere is also 18 inches. Use the surface area formula for a circle:

For this formula, we need the radius of the sphere. Divide the diameter by 2:

The radius is 9 inches. Plug this into the equation:

Simplify the equation:

Round the result to the nearest whole number:
→
The surface area is 1,018 inches².
:Done
Picture:
In a 2D version, we can clearly see that if the circle fits snuggly inside of the square, the diameter of a sphere is the same as the length of a side of the cube.
Answer:
56
Step-by-step explanation:
To divide 364 into two parts in the ratio 15:11, add 15+11 to get 26. Now divide 364 by 26 to get 14. This counters 14 for each part, and we have 26 parts. If each part is x, and x=14, x times 15 will equal 15x=210, so the first number is 210. x times 11 will equal 11x=154, so the second number is 154. 210-154=56, so the first number is 56 bigger than the second.