Answer:
17.5 i think
Step-by-step explanation:
2+3+1.5+2+9=17.5
The factors of 5 are 1 and 5.
1 x 5 = 5
5 x 1 = 5
Hope this helps! :)
Answer:
Part A: 3x²(x⁸ - 16)
Part B: 3x²(x² - 2)(x² + 2) (x² - 2x + 2)(x² + 2x + 2)
Step-by-step explanation:
Part A. Factor out the greatest common factor
3x¹⁰ - 48 x²
= 3x²(x⁸ - 16)
Part B. Factor the expression completely
(i) Factor the difference of squares
x⁸ - 16
= (x⁴ - 4)(x⁴ + 4)
= (x² - 2)(x² + 2)(x⁴ + 4)
3x¹⁰ - 48 x² = 3x²(x² - 2)(x² + 2)(x⁴ + 4)
(ii) Factor the sum of squares
Use the Sophie Germain Identity to factor x⁴ + 4.
x⁴ + 4
= (x²)² + 2² (Still a sum of squares)
= (x² + 2)² - 4x² (Factor this as a difference of squares)
= (x² + 2 - 2x)(x² + 2 + 2x)
3x¹⁰ - 48 x² = 3x² (x² - 2)(x² + 2) (x² - 2x + 2)(x² + 2x + 2)
it would take 5 people 16 hours do decorate 200 biscuits
Answer: 4 walls
Step-by-step explanation: We know that Ms. O'Grady has approximately 6 1/8 gallons of paint, and needs 1 2/5 gallons per wall she paints. Key words like "per" and "each" tells us that we need to divide these two numbers. However, we run into one problem: the two fractions have 2 different denominators (the number on the bottom of the line) But don't fret! There is an easy fix to this: Multiply the fractions so they match.
In order to do this, we need to find the least common multiple of the numbers 8 and 5. A simple way of doing this is muliplying the numbers together: 8x5=40. Therefore, we need to change our fractions so both denominators equal 40.
1/8 x 5/5 = 5/40
2/5 x 8/8 = 16/40
Now that we have our fractions writen in much simpler terms, we need to add the coefficients to them.
6 + 5/40 = 245/40
1 + 16/40 = 56/40
Now, we divide 245 by 56, which gets us 4 15/40, which can be simplified to 4 3/8. However, Ms. O'Grady can only paint 4 ENTIRE walls. The 3/8 does not matter in this scenario because she can only paint 3/8 of the wall. Therefore, your answer is 4. I hope this helps. :)
