Answer:
11 x 5 = 55 so $55 on gifts
but how much money did he have?
Step-by-step explanation:
Answer:
74/45
Step-by-step explanation:
First convert 1 1/5 to an improper fraction (6/5)
Then you are going to need to look for a least common denominator between 6/5 and 4/9
The least common multiple between 5 and 9 is 45
Now you need to get the denominator of each fraction to 45 so that you can add them
To get 6/5 to have a denominator of 45, you will need to multiply the denominator (5) by 9. REMEMBER- whatever you do to the bottom you must also do to the top
If you multiply the 5 by 9, you must also multiply the 6 at the top by 9
So now you have 54/45 for the second fraction
To get the first fraction with a denominator of 45 you must multiply everything by 5 (20/45)
Now you can simply add straight across (54+20=74)
Remember to keep the denominator the same and you should end up with 74/45 (This cannot be simplified)
Answer:
Step-by-step explanation:
200,000 nearest dollar
Answer:
⅖ (1 − x)^(5/2) − ⅔ (1 − x)^(3/2) + C
Step-by-step explanation:
∫ x√(1 − x) dx
If u = 1 − x, then x = 1 − u, and dx = -du.
∫ (1 − u) √u (-du)
∫ (u − 1) √u du
∫ (u^(3/2) − u^(1/2)) du
⅖ u^(5/2) − ⅔ u^(3/2) + C
⅖ (1 − x)^(5/2) − ⅔ (1 − x)^(3/2) + C
Factors are (y - 7)(5y - 43)
Step-by-step explanation:
- Step 1: Given, 5x² + 12x + 4 = (x + 2)(5x + 2)
Now, to factor 5(y - 9)² + 12(y - 9) + 4. Here, y - 9 can be equated to x if both equations are compared.
- Step 2: To factorize, substitute y - 9 for x in the factors (x + 2)(5x + 2)
⇒ Factors = (y - 9 + 2)[5(y - 9) + 2]
= (y - 7)(5y - 45 + 2)
= (y - 7)(5y - 43)