"He starts both trains at the same time. Train A returns to its starting point every 12 seconds and Train B returns to its starting point every 9 seconds". Basically, what you need to do is find the least common multiple. The least common multiple of 12 and 9 is 36, so the least amount of time, in seconds, that both trains will arrive at the starting points at the same time is 36 seconds.
Answer:
280 ft squared
Step-by-step explanation:
To find the area of the nonshaded portion, we can find the area of the entire floor and then subtract the shaded area.
The total area is that of a rectangle: 30 * 15 = 450 ft squared.
Now, the shaded region is made up of a rectangle and a triangle.
- The rectangle has length 8 and width 10, so its area is 10 * 8 = 80 ft squared.
- The triangle has base 12 and height 15, so using the area of a triangle formula:
(where b is the base and h is the height) = (12 * 15)/2 = 180/2 = 90 ft squared.
- The total shaded region is: 80 + 90 = 170 ft squared
Subtract 110 from 450: 450 - 170 = 280 ft squared.
Thus, the answer is 280 ft squared.
Hope this helps!
Answer:
which is an irrational number
Step-by-step explanation:
Recall that the repeating decimal 0.7373737373... can be written in fraction form as: 
Now, let's write the number 147 which is inside the square root in factor form to find if it has some perfect square factors:

Then, 7 will be able to go outside the root when we compute the final product requested:

This is an irrational number due to the fact that it is the product of a rational number (quotient between 511 and 99) times the irrational number 
Answer:
A. Kim's son
B. 9/28
Step-by-step explanation:
Give the fractions a common denominator of 28 then add.
12/28>7/28, so the son mowed more. 7/28+12/28=19/28. subtract this from 1 whole lawn and get 9/28.
Answer:
Step-by-step explanation:
The wording on this is not the best. It sounds like the 1 zero has even multiplicity (that's because of where the modifier is). On top of that it has an odd power. You could try this. y =x*(x^2+1)^2
The problem is not with the power. It gives x^5. The problem is with the multiplicity of the one place where it crosses. (X^2 + 1) does factor, but it gives a complex root. I'm not sure that's allowed. However, it is the best I can do.