Set up the ratio as fractions
(5/8) cup red / (2/5) cup yellow = r amount of red / 1 cup yellow
Then cross multiply the numbers and set up as a equation like this
(5/8) × 1 = (2/5) × r
(5/8) = (2/5)r
Multiply both sides of the equation by (5/2) to get rid of the fraction and solve for r
(5/2) × (5/8) = (2/5)r × <span>(5/2)
25/16 = r
Reduce down to 5/4 or change to a mixed number
1 and 1/4 cups = r</span>
Prove that if m + n and n + p are even integers, where m, n, and p are integers, then m + p is even.
m=2k-n, p=2l-n
Let m+n and n+p be even integers, thus m+n=2k and n+p=2l by definition of even
m+p= 2k-n + 2l-n substitution
= 2k+2l-2n
=2 (k+l-n)
=2x, where x=k+l-n ∈Z (integers)
Hence, m+p is even by direct proof.
Isn't it 6 hoirs with the same temperature.?
Answer: 8 : 6
Step-by-step explanation:
