The least common denominator of 12, 8, and 36 is 72.
Answer:
24 cubic feet
Step-by-step explanation:
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The rate of the passenger train is 81.67 MPH and the rate of the freight train is 66.67 MPH.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
The distance traveled by passenger train = 245 miles
The distance traveled by freight train = 245 miles
The time takes for both trains is the same.
Let's suppose the rate of the passenger train is x and the rate of the freight train is y;
As we know,
Distance = speed×time
245/x = 200/y
200x = 245y
200x - 245y = 0 ..(1)
x = 15 + y ..(2)
Equations (1) and (2) represent the situation.
After solving equations (1) and (2):

Thus, the rate of the passenger train is 81.67 MPH and the rate of the freight train is 66.67 MPH.
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A group of preschoolers has 30 boys and 13 girls then the ratio of boys to all children would be 30:43.
What is a ratio?
A ratio in mathematics shows how many times one number contains another. For example, if a bowl of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon-to-orange ratio is 6:8, and the orange-to-total fruit ratio is 8:14.
A group of preschoolers has 30 boys and 13 girls.
Total children will be = 30 + 13 = 43
Ratio = number of boys/total children
= 30/43.
Hence, if A group of preschoolers has 30 boys and 13 girls then the ratio of boys to all children would be 30:43.
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The full price is $82, (100%), the discounted price is $65.60, (?%)
So lets see something:
$82 ------------- 100%
$65.60 --------------- x%
Multiply in cross
82.x = 65,60 . 100
82x = 6560
Divide both sides by 82
82x/82 = 6560/82
x = 80
So the discounted price is equal to 80% of the initial price
100% - 80% = 20% so the discount is 20%