Part A
If 2 inches is 25 miles, then you can set up a ratio to find how many inches 60 miles is.
2 inches equaling 25 miles would be 2:25 in a ratio form of inches:miles.
If miles equals 60, then the ratio would be x:60 in inches:miles.
Since both sides must have the same thing done to them, divide 60 by 25 to see how much miles was multiplied by to get to 60, then multiply inches by that to get x.
60 / 25 = 2.4
2 • 2.4 = 4.8
So the answer to part A is 4.8 inches represent 60 miles.
Part B
You can do the same concept for Part B.
1/4 = 0.25
In a ratio of inches:miles, this would be 0.25:x
Since the original ratio is 2:25, you must figure out how many times 1/4 goes into 2.
2 = 2/1 = 4/2 = 8/4
So 1/4 goes into 2, which can be represented by 8/4, 8 times.
This means 2 was divided by 8 to get 0.25.
Now divide 25 by 8 to get x.
25 / 8 = 3.125
So the answer to part B is 3.125 miles are represented by 1/4 inch.
Part A: Let the September price be x, then
1.2x = 1.5
x = 1.5/1.2 = 1.25
Therefore, September price is $1.25
Part B: In September, they earned 0.4 * 1.25 * 900 = $450
In October, they earned 0.4 * 1.5 * 700 = $420
Therefore, they earned more money in September.
(f·g)(x) is x^5 - 5x^4 + 4x³ - x² + 5x - 4
Step-by-step explanation:
- Step 1: Given, f(x) = x² - 5x + 4 and g(x) = x³ - 1 Find (f·g)(x)
(f·g)(x) = f(x)·g(x) = (x² - 5x + 4)(x³ - 1)
= x^5 - 5x^4 + 4x³ - x² + 5x - 4
= x^5 - 5x^4 + 4x³ - x² + 5x - 4
Answer/Step-by-step explanation:
1. <B is an inscribed angle in a circle which intercepts arc AC.
Therefore, m<B = ½ of m<AC
B = ½ * 128° = 64°
x = 180 - (64 + 43)
x = 180 - 107 = 73°
2. The circle given shows two chords intersecting at point H.
According to intersecting chords theorem, the products of the segments formed by one chord equals the product of the segments formed by the other.
Therefore,
Solve for x
Divide both sides by 10
Answer: 0.075
Step-by-step explanation: when you are working with percentages to decimals you want to move the decimal two places to the left. If you are working with decimals and you want to make it a percentage you would move the decimal two places to the right.
