Subtract 3 from both sides
(z = -9 - 3)
Simplify -9 - 3 to -12
z = -12
3 + -12 = -9 so this is true.
Step-by-step explanation:
Todd fills 30 paper cups with ketchup and Yuki fills 27 paper cups with ketchup.
Each paper cup holds 1 ounce
Todd = 30 * 1 = 30 ounces
Yuki = 27 * 1 = 27 ounces
Total ounces = 30 + 27
Later, Todd and Yuki learn that two other company employees completed exactly the same task.
Total ounces = 2 (30 + 27)
Answer:
Hardy has 470 more tennis balls than Kerns.
Step-by-step explanation:
Given that:
Total number of tennis balls = 940
Let,
x represents the number of tennis balls Hardy has.
y represents the number of tennis balls Kerns has.
According to given statement,
x+y=940 Eqn 1
x = 3y Eqn 2
Putting x = 3y in Eqn 1
3y+y=940
4y=940
Dividing both sides by 4

Putting y=235 in Eqn 2
x = 3(235)
x = 705
Difference = Hardy's tennis balls - Kerns' tennis balls
Difference = 705 - 235 = 470
Hence,
Hardy has 470 more tennis balls than Kerns.
Answer:
y= 1/2x-3
Step-by-step explanation:
2y - x = 8
First find the slope
2y = x+8
Divide by 2
2y/2 = x/2 +8/2
y = 1/2 x +4
The slope is 1/2 ( y=mx+b where m is the slope and b is the y intercept)
When lines are parallel they have the same slope)
Using y = mx+b
y =1/2x+b
Substituting the point (4,-1) into the equation
-1 =1/2(4)+b
-1 = 2+b
-3 =b
The equation of the line is
y= 1/2x-3