Answer: The mixed number is 5 5/8 cups of trail mix.
Step-by-step explanation:
- Find the least common multiple of 4, 6, 2, 8, and 3, which is 24.
- Convert the fractions so they have 24 as their denominator.
- 2 1/4 ; 9/4 = 54/24
- 5/6 = 20/24
- 1/2 = 12/24
- 1 3/8 ; 11/8 = 33/24
- 2/3 = 16/24
3. Add the numerators, 54 + 20 + 12 + 33 + 16. 54 +16 = 70. 70 + 20 = 90. 90 + 12 = 102. 102 + 33 = 135.
4. The improper fraction is 135/24. Simplify it by 3 on both numerator and denominator which results in 45/8. 45/8 as a mixed number is 5 5/8 since 8 goes into 45, 5 times and the remainder is 5, which results the denominator to be 8.
3 / 4 w + 8 = 1 / 3 w - 7
Multiply by LCD = 4 ( w + 2 )(3w - 7)
3(3w-7) = 4(w + 2)
3*3w - 3*7 = 4 * w + 4 * 2
9 w - 21 = 4 w + 8
Add 21 to both sides :
9w - 21 + 21 = 4w + 8+ 21
9w = 4w + 29
9w - 4w = 29
5 w = 29
Divide both sides by 5 :
5 w / 5 = 29 / 5
w = 29 / 5
hope this helps!
Answer:
Answer C: √10
Step-by-step explanation:
Construct a right triangle whose hypotenuse represents the distance between the given points. As we move from (2, -3) to (5, -4), x increases by 3 and y decreases by 1. Thus, the lengths of the legs of this right triangle are 1 and 3. Using the distance formula, we get d = √(1^2 + 3^2) = √10 (This matches Answer C).
Answer:
I think the answer is A. Hope this helps!
Step-by-step explanation:
Answer:
fg(×)=22fx
Step-by-step explanation:
I hope it help
