Let the numerator = x. Then,
The fraction is x/(3x+4).
If both the numerator and denominator are increased by 4, the fraction will be (x+4)/(3x+8), which, according to the question is equal to 9/25. So,
(x+4)/(3x+8) = 9/25
25(x+4) = 9(3x+8)
25x + 100 = 27x + 72
2x = 28
x = 14
Thus, the numerator is 14 and the denominator is (3*14 + 4), which is equal to 46. So the fraction is 14/46.
You can use the pythagorean theorem. Make sure that you put the measurements in the right places though. Since 11 is the measure of the hypotenuse, 11 has to be c. When you plug in the information that you have, it should look like this:
8^2 + b^2 = 11^2
Square 8 and 11.
64 + b^2 = 121
Subtract 64 from 121
121 - 64 = 57
The new equation is:
b^2 = 57
Now take the square root of both sides to get b by itself.
b = about 7.5
Answer: The height of the triangle is 7.5
***** Note: I rounded the answer ********************************************
Answer:
The value of account after 8 years is $8580
Step-by-step explanation:
Given in question as :
The principal that invested in an account = $6,000
The annual interest rate compounded quarterly = 4.5%
Time period = 8 years
Now from compound Interest method for quarterly .
Amount = Principal 
Or,Amount = $6,000 
Or, Amount = $6,000 (1.430)
∴ Amount = $8580
Hence the value of account after 8 years is $8580 Answer
Events
• A: an even number is rolled in the first time
,
• B: a number greater than 3 is rolled the second time
The probability of rolling an even number is:
The probability of rolling a number greater than 3 is:
Events A and B are independent, then the probability of one happening after the other is:
Answer:
1/2
Step-by-step explanation:
The slope is 1/2. The line goes down one and 2 left.
