find the missing number: 20/30= square root of 20/?
A.9
B.30
C.45
D.900
20/30= square root of 20/?
2/3 = 2√5/x
2x = 6√5
x = 3√5 or √45
check:
√20 / √45
= √(20/45)
= √(4/9) = 2/3 or 20/30
or, assuming the usual carelessness with parentheses,
2/3 = √(20/x)
4/9 = 20/x
4x = 180
x = 45
check: 2/3 = √(20/45) = √(4/9) yep.
To find the missing number, follow these steps:
Step 1: Solve the right side of the equation.
The square root of 20 is approximately 4.47.
Step 2: Substitute the value of the square root of 20 into the equation.
20/30 = 4.47/?
Step 3: Simplify the left side of the equation.
The fraction 20/30 can be simplified by dividing both the numerator and denominator by 10. This gives us 2/3.
Step 4: Substitute the simplified fraction into the equation.
2/3 = 4.47/?
Step 5: Cross-multiply.
Multiply 2 by the missing number to get 2 times the missing number. Multiply 3 by 4.47 to get 3 times 4.47.
2 times the missing number = 3 times 4.47
Step 6: Solve for the missing number.
Divide both sides of the equation by 2 to isolate the missing number.
The missing number = (3 times 4.47) divided by 2
The missing number is approximately 6.70.
So, the missing number is not among the options given (A.9, B.30, C.45, D.900).
To find the missing number, we need to solve the equation:
20/30 = √20/?
First, let's simplify the equation by multiplying both sides by "?":
20 * ?/30 = √20
Now, let's simplify the expression on the right side by taking the square root of 20:
√20 ≈ 4.47 (approximately)
Now, we have the equation:
20 * ?/30 = 4.47
To find the value of "?", we can solve this equation by multiplying both sides by 30:
(20 * ?/30) * 30 = 4.47 * 30
Simplifying further:
20 * ? = 134.1
Now, divide both sides by 20 to isolate "?":
(20 * ?)/20 = 134.1/20
Simplifying:
? = 6.705
So, the missing number is approximately 6.705.
Unfortunately, none of the given options (A. 9, B. 30, C. 45, D. 900) matches the value we found. Therefore, none of the options is the correct answer.