Answer:
P = 1/3
P = 0.333
Step-by-step explanation:
There are 6 marbles in the pack, two of them are yellow.
![P=\frac{2}{6} =\frac{1}{3}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B2%7D%7B6%7D%20%3D%5Cfrac%7B1%7D%7B3%7D)
Hope this helps
Comment
This is an area problem. The key words are 120 square feet and 12 feet longer.
And of course width is a key word when you are reading this.
Formula
Area = L * W
Givens
W = W
L = W + 12
Substitute and Solve
Area = L* W
120 = W*(W + 12)
W^2 + 12W = 120 square feet
w^2 + 12w - 120 = 0
This does not factor easily. I would have thought that a graph might help but not if the dimension has to be to the nearest 1/100 of a foot. The only thing we can do is use the quadratic formula.
a = 1
b = 12
c = - 120
w = [ -b +/- sqrt(b^2 - 4ac) ]/(2a)
w = [-12 +/- sqrt(12^2 - 4*(1)(-120)] / 2*1
w = [-12 +/- sqrt(144 - (-480)]/2
w = [-12 +/- sqrt(624)] / 2
w = [- 12 +/- 24.979992] / 2 The minus root has no meaning whatever.
w = (12.979992) / 2
w = 6.489995 I'll round all this when I get done
L = w + 12
L = 6.489995 + 12
L = 18.489995
check
Area = L * W
Area = 6.489995*18.489995
Area = 119.999935 The difference is a rounding error
Answer
L = 18.489995 = 18.49 feet
W = 6.489995 = 6.49 feet
Note: in the check if you round first to the answer, LW = 120.0001 when you find the area for the check. Kind of strange how that nearest 1/100th makes a difference.
Answer:
y=3x-2
Step-by-step explanation:
Because the equation for slope intercept form is y=mx+b!
Answer:
10%
Step-by-step explanation:
firstly express as a fraction then multiply the fraction by 100% , that is
× 100% = 2 × 5 = 10% of the flowers are roses
Answer:
y=4/5x-3 - (-5, -7)
Step-by-step explanation:
So to solve this, lets just plug in each value for x, and see if the y value we get is equal to one of our answers.
So we have (-10, 5)
Well plug in -10 for 4/5x we get:
-40/5=-8
Next we take that value and solve:
y=-8-3
y=-11
The answer for this was 5, not -11.
Ill skip a few steps:
(10, -11):
Plug in 10 we get:
y=8-3 which is y=5. This is not right, for it needed to be -11.
Next we have (5, -1)
This gets us y=4-3 this is y=1 which is not -1. So thats not right.
Finally we have (-5, -7):
This gets us y=-4-3 this is y=-7. What was our y value? -7!
So the answer is (-5, -7)
I hope this helps! :)