The given equation has a slope of 
. Parallel lines have the same slope.
Point-Slope formula: y - y₁ = m(x - x₁) ; where (x₁, y₁) is the point and "m" is slope
y - y₁ = m(x - x₁)
y - (-4) = (x - 2)
y + 4 = x + 
<u> - 4</u> <u> - 
</u>
y = x - <u>
</u>
Answer:
Jose had 60 cards
Phillipe had 15 cards
Step-by-step explanation:
Let the number of trading cards Phillipe had be x. Jose had 4 times, meaning he has 4x of these cards.
Jose gave away 50 cards while Phillipe gave away 5 cards to make their numbers equal.
Mathematically:
4x - 50 = x - 5
3x = 45
x = 45/3 = 15
Phillipe had 15 cards while Jose had 15(4) = 60 cards
Answer:
x=-3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(x−6)+6=5x−6
(3)(x)+(3)(−6)+6=5x+−6(Distribute)
3x+−18+6=5x+−6
(3x)+(−18+6)=5x−6(Combine Like Terms)
3x+−12=5x−6
3x−12=5x−6
Step 2: Subtract 5x from both sides.
3x−12−5x=5x−6−5x
−2x−12=−6
Step 3: Add 12 to both sides.
−2x−12+12=−6+12
−2x=6
Step 4: Divide both sides by -2.
−2x
−2
=
6
−2
x=−3
Answer: 140 female runners
Step-by-step explanation:
First find out the number of runners:
= 42% * 10,000
= 4,200 runners
Then find out the number of female runners:
= 4,200 * 1/3
= 1,400 female runners
Sally finished faster than 90% of the female runners which means that 10% finished faster or at the same time as her.
= 10% * 1,400
= 140 female runners
