Probablity=desiredoutcomes/totalpossibleoutcomes
see which ones fit
dimes and quarters are over 9 cents
there are 11+3 or 14 of them
total outcomes=12+9+11+3=35
probablity=14/35=2/5
probablity is 2/5
Y=mx+b
They give you the slope - 1/5
y=-1/5x+b
Now plug in the two coordinates of x and y to find b
7=-1/5(-5)+b
7=1+b
b=6
So the answer is y=-1/5x+6
Answer:
5x - 2y = -10 (B.) This should be right so if its not let me know I am stumped on what else it would be
Step-by-step explanation:
Parallelism: Same slope but different y-intercept
1 - Get into slope formula
5x - 2y = 7
<u>- 5x -5x </u>
-2y = -5x + 7
-2y/-2 = -5x/-2 +7/-2
y = (5/2)x - 7/2
2 - Plug x and y from (0, 5) into y = mx + b however note the - 7/2 is extranneous and wont be used for b
y = (5/2)x + b
5 = (5/2)0 + b
5 = 0 + b
5 = b
Therefore
y = 5/2x + 5 is your slope formula.
Now to get x to the other side.
3 - Get it back to standard form.
y = 5/2x + 5
- 5/2x -5/2x
- 5/2x + y = 5
(Multiply 2 into everything to get rid of the fraction)
-5x + 2y = 10
11*2 = 22 (calculating the diameter)
Using πD for the area:
π * 22 = 22π
Getting 3/4 of the area because the dog can not move past the corners of the garage;
22π * 3/4 = 16.5π
Getting the answer in feet^2:
16.5 * 3.14 = 51.84 feet^2
Hope this helps! :)
Answer:
$1583.60 in interest (i), in addition to her savings (s) of $31,672.00
$33,255.60 total (t) after one year.
Step-by-step explanation:
$1583.60(i)(5%)+$31,672.00(s)= $33,255.60(t)
