Answer:
1 quart blue + 1 1/2 quart red
Step-by-step explanation:
Given:
Ratio of blue paint : red paint = 1/3 : 1/2
simplifying this ratio into whole numbers by multiplying both sides by 2 and 3, we get:
(1/3) x (3x2) : (1/2) x (3x2)
2 : 3
From this we can determine the fractions of red and blue paint used in any total purple mix
fraction of blue paint = 2/(2+3) = 2/5 of purple mix
fraction of red paint = 3/(2+3) = 3/5 of purple mix
we are given that we want to make 2 1/2 (= 5/2) quarts of purple paint
hence
amount of blue paint
= fraction of blue paint in purple mix x total amount of purple paint
= (2/5) x (5/2) = 1 quart
amount of red paint
= fraction of redpaint in purple mix x total amount of purple paint
= (3 /5) x (5/2) = 3/2 quart = 1 1/2 quart
Answer:
69
Step-by-step explanation:
Answer:
No solution.
Step-by-step explanation:
Step 1: Write inequality
3(x - 2) + 1 ≥ x + 2(x + 2)
Step 2: Solve for <em>x</em>
- Distribute: 3x - 6 + 1 ≥ x + 2x + 4
- Combine like terms: 3x - 5 ≥ 3x + 4
- Add 5 to both sides: 3x ≥ 3x + 9
- Subtract 3x on both sides: 0 ≥ 9
Here we see that the statement is false. Therefore, you cannot solve for the inequality.
By determining the length of TV using TV^2=15^2+10^2-2(15)(10)cos80, and then determining the value of x using 15^2=TV^2+10^2-2(TV)(10)cosx.
