Answer: 1⁵/₈ pints
Step-by-step explanation:
First can contained 3¹/₄ pints and second can contained 6¹/₂.
To make them equal, first find the different;
= 6¹/₂ - 3¹/₄
= 6.5 - 3.25
= 3.25
Divide this difference by 2;
= 3.25/2
= 1.625
= 1⁶²⁵/₁₀₀₀
= 1⁵/₈ pints
If Carson pours 1⁵/₈ pints from the second Can, it would increase the first can to 4⁷/₈ pints whilst reducing the second can to 4⁷/₈ pints as well.
Answer:
1. 
2. 
Step-by-step explanation:
1. 8 = 4 * 2; 10 = 5 * 2; 18 = 9 * 2....
2. 4 = 1 * 3 + 1; 7 = 2 * 3 + 1; 10 = 3 * 3 + 1....
Answer:
96 ways
Step-by-step explanation:
Given

Required
Ways to divide it into period of seconds
What this question implies is to determine the total number of factors of 86400
To start with, we determine the prime factorization of 86400
To do this, we continually divide 86400 by 2; when it can not be further divided, we divide by 3, then 7, then 11...












This implies that:

The number of factors d is the solved by:

Where

By comparison:



So:



<em>Hence, there are 96 total ways</em>
Answer:
a) 46.98%
b) increasing rate of change
Step-by-step explanation:
In year 1987, investment worth $29800
In year 1997, investment worth $43800
Rate of change = 1997investment - 1987investment / 1987investment × 100
Rate of change = 43800 - 29800/29800 × 100
= 14000/29800 × 100
= 0.46979 × 100
= 46.98%
Therefore, the rate of change of the investment during the time period is 46.98%.
b) The rate of change of the investment is increasing. This is as a result of the following reasons. First, the value of rate of change is positive. Second, there is no value for rate of change for period before the time period so we cannot compare rate of change.
From the diagram you can see that plane cuts each lateral face of hexagonal pyramid and do not cut the base. A hexagonal pyramid has six lateral faces. The intersection of each of these lateral faces with given cutting plane is segment. The figure which consists of these segments is hexagon. This hexagon is not the same as base and even is not similar to the base because the cutting plane is not parallel to the base.
Answer: resulting cross section is a hexagon, correct choice is option 4.