The missing pieces strategy is another method to compare two fractions. To tell which number is larger, you need to see which one is missing less. For example, you have 3/4 versus 4/5. Each of these fractions needs 1 to complete the whole. You need to subtract the numerator with one to compare them. For 3/4 we have 1/4 and for 4/5 we have 1/5. You know that if you complete 4/5 you will get 4. You know that 5 is greater than four. Therefore, 4/5 is larger than 3/4.
Answer:
Step-by-step explanation:
x^2 - 22x = 10
Next step is to complete the square on the left hand side of the equation and it would be balanced by adding the same number to the right side of the equation. It becomes
x^2 - 22x + (22/2)^2 = 10 + (22/2)^2
x^2 - 22x + (11)^2 = 10 + (11)^2
x^2 - 22x + (11)^2 = 10 + 121
x^2 - 22x + (11)^2 = 131
x^2 - 22x + 121^2 = 131
(x - 11)^2 = 131
Taking square root of both the left hand side and the right hand side of the equation, it becomes
x - 11 = ±√131
x - 11 = ±11.45
Adding 11 to the left hand side and the right hand side of the equation, it becomes
x - 11 + 11 = ±11.45 + 11
x = 11.45 + 11 or x = -11.45 + 11
x = 22.45 or x = - 0.45
Answer:
1961
Step-by-step explanation:
The greatest value of OFF can be achieved by making the hundreds places the greatest, followed by the tens, and then the ones.
S=9
A=8
U=7
T=6
N=5
986+975=1961
Given :difference between 2 whole number = 66ratio of the 2 whole number =2:5Let:1 whole number be 2x2 whole number be 5xA/Q
difference between 2 whole number = 66
Let's turn it into algebraic equation:
5x - 2x = 663x= 66x =66 /3x =22
Now Let's put value of x to find two whole numbers
Finaly :1 whole number = 2x1 whole number = 2×221 whole number =44
2 whole number = 5x2 whole number = 5×222 whole number = 110
Answer:
y = 0.36x + 4200.00
15100.00 miles.
Step-by-step explanation:
If the yearly cost for driving x miles is given by y dollars then the two ordered pairs to find the linear relation between x and y are (10000,7800) and (20000,11400).
So, the equation will be
⇒ 
⇒ 
⇒ 
⇒ 
⇒ y = 0.36x + 4200.00 ........... (1) (Answer)
Now, for y = $9636.00, from equation (1),
9636 = 0.36x + 4200
⇒ 0.36x = 5436
⇒ x = 15100.00 miles. (Answer)
