So we cant do anything until the 'y' in the 2nd problem is by the 2x. So after we move the 2x over the equation will look like this, "-2x+y=-6."
Now that that is set up we can make our equation.
(12x+5y=30) - (-2x+y=-6)
We have to multiply the second equation by -6 in order to cancle out the X's. That comes out to (12x-6y=36)
Now the equation looks like (12x+5y=30) - (12x+6y=36)
After you subtract you have (-y=-6)
divide by (-1) and you're left with y=6
Answer:
40, 60, 80, 100, 120, 140, 160, 180, 200
Step-by-step explanation:as the 12 goes up by 12 the 20 goes up by 20
Step-by-step explanation:
A baseball field is in the shape of a square (or diamond). Home plate and second base are opposite corners of each other. So the distance is equal to the diagonal of the square.
Use Pythagorean theorem to find the diagonal, or use properties of a 45-45-90 triangle.
Using Pythagorean theorem:
c² = a² + b²
c² = (90 ft)² + (90 ft)²
c = 90√2 ft
c ≈ 127 ft
Answer:
$1,740
Step-by-step explanation:
Setting up an equation to solve for Lesley's total salary would be the sum of her monthly base salary ($1,500) and the amount of her commission for any sales over $20,000:
Salary = $1,500 + (sales - $20,000)(0.04)
Since Lesley sold $26,000 in sales this month, we can calculate her total salary and commission:
Salary = $1500 + ($26,000-$20,000)(0.04) or $1500 + ($6000)(0.04)
Salary = $1500 + $240 = $1,740.00
