Y + 4 = 4/3(x + 1)...first we distribute
y + 4 = 4/3x + 4/3 ...now we subtract 4 from both sides
y = 4/3x + 4/3 - 4
y = 4/3x + 4/3 - 12/3
y = 4/3x - 8/3 <======
u will have a slope of 4/3....and a y int of (0,-8/3)...ur x int is (2,0)
in standard form, it is :
y = 4/3x - 8/3
-4/3x + y = -8/3
4x - 3y = 8....in case u need to find some points to graph
Answer:
The amount of water need to be added is 5 liters.
Step-by-step explanation:
Let's "x" be amount of water in (liters) added to 15 liters of 40% of sugar syrup.
Now find the amount of sugar syrup = 40% of 15
= 0.4 × 15
The amount of sugar syrup = 6 Liters
To dilute 30% we need to find amount of water to be added.
So,
30% of (15 + x) = 6
0.3 × (15 + x) = 6
4.5 + 0.3x = 6
0.3x = 6 - 4.5
0.3x = 1.5
Dividing both sides, by 0.3, we get
x = 5
So, the amount of water need to be added is 5 liters.
Answer:
in 13.95 years the senior class will have 100 students.
Step-by-step explanation:
P(h) = p(0.92)^t (equation for exponential change)
P(h) - population of highschool (or senior class) = 100
p - staring amount = 320
t = time in years
100 = 320(0.92)^t
1/3.2 = .92^t (divide both sides by 320)
log(1/3.2, .92) = t (log base 0.92 of 1/3.2 equals t)
13.9497 = t
Answer:
y=1; x=2
Step-by-step explanation:
Substitution:
x=2y
2x+5y=9
=> if x=2y, plug in the x value into other equation, so
----------------------------------------------------------------------------
2(2y)+5y=9
4y+5y=9
9y=9
y=1
You have the Y value, so now solve for X
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plug in y value to x=2y
so x=2(1)
x=2
A gardener has 8 pounds of fertilizer. He packs the fertilizer into 5/8 pound bags. What is the maximum number of 5/8 pound bags he can pack?
so first you multiply 8 pounds times 5 from 5/8 which is 40/8 pounds bags
now how many 8s can fit in 40
40 divided by 8 =5
so he can pack 5 maximum bags