When x = 1, y = (5 - 3) / -2 = -1 , let x1 = 1 and y1 = -1
2y = 3x - 5
so slope = 3/2
y - y1 = m(x - x1)
y -(-1) = (3/2)(x - 1)
y + 1 = 3/2 ( x - 1) <----- answer
The answer would be $24.55 per oz of gold alloy so rounded up would be $25
Minust 5x both sides
7x-5x<5x-5x-8
2x<-8
divide by 2 both sides
x<-4
To solve this problem, let us first assign variables. Let
us say that:
A = runner
B = cyclist
d = distance
v = velocity
time = t
The time in which the cyclist overtakes the runner is the
time wherein the distance of the two is the same, that is:
dA = dB
We know that the formula for calculating distance is:
d = v t
therefore,
vA tA = vB tB
Further, we know that tA = tB + 2, therefore:
vA (tB + 2) = vB tB
4 (tB + 2) = 14 tB
4 tB + 8 = 14 tB
10 tB = 8
tB = 0.8 hours = 48 min
Therefore the cyclist overtakes the runner after 0.8
hours or 48 minutes.
Answer: 77 seeds
Step-by-step explanation:
Given: The germination rate for zinnia seeds =78%
Let x be the total number of seeds he planted, then
The seeds germinated= 78% of x
⇒The seeds germinated= 0.78x
If James wants 60 zinnia plants for his yard, then it will give the equation
Hence, he should plant 77 seeds .
