Answer:
36:2
Step-by-step explanation:
we can just multiply both numbers by 2, to get 36:2
6 (Allison's number of blue) divided by 16 (Allison's total) is equal to x (Sadie's blue) out of 24 (Sadie's total).
So 6/16=3/8=x/24. So x=3*3, so Sadie's amount of blue pencils is 9. The rest of Sadie's pencils are yellow, so Sadie has 24-9=15 yellow pencils.
1/25 of a minute is 2,4 secs.
1/5 = 2,4s
5/5 = 12 secs
Answer:
x = 3/4 + (3 sqrt(5))/4 or x = 3/4 - (3 sqrt(5))/4
Step-by-step explanation:
Solve for x over the real numbers:
8 x^2 - 12 x - 23 = -5
Divide both sides by 8:
x^2 - (3 x)/2 - 23/8 = -5/8
Add 23/8 to both sides:
x^2 - (3 x)/2 = 9/4
Add 9/16 to both sides:
x^2 - (3 x)/2 + 9/16 = 45/16
Write the left hand side as a square:
(x - 3/4)^2 = 45/16
Take the square root of both sides:
x - 3/4 = (3 sqrt(5))/4 or x - 3/4 = -(3 sqrt(5))/4
Add 3/4 to both sides:
x = 3/4 + (3 sqrt(5))/4 or x - 3/4 = -(3 sqrt(5))/4
Add 3/4 to both sides:
Answer: x = 3/4 + (3 sqrt(5))/4 or x = 3/4 - (3 sqrt(5))/4
