Answer:
x = -6.5 y= 3.75
Step-by-step explanation:
Add angle 1 and 2 since they are both alternate interior angles
6x + y - 4 = x - 9y + 1
- x + 9y - x + 9y Subtract x and add 9y to both sides
5x + 10y - 4 = 1
+ 4 + 4 Add 4 to both sides
5x + 10y = 5
-5x - 5x Subtract 5x from both sides
10y = -5x + 5 Divide both sides by 10 to solve for y
y = -1/2x + 1/2
Use this equation to solve for x in the original equations
6x + (1/2x + 1/2) -4 = x - 9(-1/2x +1) - 1
6.5x - 3.5 = x + 4.5x - 9 - 1 Solve in the parentheses
6.5x - 3.5 = 5.5x - 10 Solve the right side of the equation
+ 3.5 + 3.5 Add 3.5 to both sides
6.5x = 5.5x - 6.5
- 5.5x - 5.5x Subtract 5.5x from both sides
x = -6.5
Use the new value of x to solve for y
6(-6.5) + y -4 = -6.5 -9y + 1
-43 + y = -5.5 -9y Simplify both sides
+43 + 43 Add 43 to both sides
y = 37.5 - 9y
+ 9y + 9y Add 9y to both sides
10y = 37.5
y = 3.75
Cheryl can travel 133.92 miles using 6.2 gallons of gas
#2: 4 cans : $2.36 = 13 : $7.67 SCALE FACTOR: $7.67 divided by $2.36 = 3.25
Use the SF to multiply the missing information.
So 4 cans x 3.25 = 13
YOU CAN BUY 13 CANS FOR $7.67
#4: 2 eggs: 1 1/2 cups of eggs : 10 pancakes = : : 35 pancakes
SCALE FACTOR: 35 pancakes divided by 10 pancakes= 3.5
Use the SF to multiply the missing information
So: 2 eggs x 3.5 = 7
7 EGGS WILL BE NEEDED TO MAKE 10 PANCAKES
#6: 54 pounds: 1 acre = pounds: 12.5 acres
SCALE FACTOR: 12.5 divided by 1 acre= 12.5
Use the SF to find out the mussing information
So, 54 pounds x 12.5 = 675 pounds
THE FARMER CAN HARVEST 675 POUNDS WITH 12.5 ACRES OF FIELD
#8: 90 miles: 120 minutes (5 hours) = 225 miles : 300 minutes (5 hours)
SCALE FACTOR: 225 miles divided by 90 miles = 2.5
Use the SF to figure out the missing information
So, 120 minutes multiplied by 2.5 = 300 minutes (5 hours)
IT WILL TAKE 5 HOURS TO DRIVE 225 MILES
Answer:
B
Step-by-step explanation:
it's basically 2+7
