Answer:
x = 26
y = 9
Step-by-step explanation:
(5x - 17)° + (3x - 11)° = 180° (angles in a straight line)
Solve for x
5x - 17 + 3x - 11 = 180
Collect like terms
5x + 3x - 17 - 11 = 180
8x - 28 = 180
Add 28 to both sides
8x = 180 + 28
8x = 208
Divide both sides by 8
x = 208/8
x = 26
Also:
(2y + 5)° + 90° + (3x - 11)° = 180° (angles on a straight line)
Plug in the value of x and solve for y
2y + 5 + 90 + 3(26) - 11 = 180
2y + 5 + 90 + 78 - 11 = 180
Collect like terms
2y + 162 = 180
Subtract 162 from both sides
2y = 180 - 162
2y = 18
y = 9 (dividing both sides by 2)
4/3 is the ratio between fruit punch and orange juice. For every 3 cups of orange juice she makes, she can make 4 fruit punches. An example:
If you replace x (orange juice) with 2, that'd mean there'd be 6 cups of orange juice because you'd multiply 3 and 2. Same goes to 4. 4 multiplied by 2 is 8, which means if she makes 6 cups of orange juice, she can make 8 cups of fruit punch.
Divide the 6/7 of a gallon by 4
(6/7) ÷ 4
flip and multiply
(6/7) × (1/4) = 6/28
simplify
6/28 = 3/14 gallon for each kid
Answer:
#1. Insert the given values into the equation:
Simplify multiplication from left to right:
Simplify subtraction:
#2. Insert the given values into the equation:
Use PEMDAS. Simplify multiplication:
Simplify division:
#3. Insert given values into the equation:
Use PEMDAS. Simplify parentheses:
Use PEMDAS. Simplify multiplication:
Simplify subtraction:
