“Rate of change” means the same as “slope.”
In algebra, we use the word "slope" to describe how steep a line
is and slope can be found using the ratio rise/run between
any two points that are on that line.
Starting from the point that has the coordinate (-1, -1),
we rise go 1 unit down so our rise is -1 and run 3 units.
So our slope or rise/run is -1/3.
Answer:
25*pi or
78.5 square units.
Step-by-step explanation:
If there was no shaded area, the area of the circle would be pi * r^2
r = 10
Area = pi * 10^2
Area = 100 * pi
Since there is a shaded area, the shaded part looks to be 1/4 of the whole. There's no indication of what it actually is, but 1/4 should be close enough.
Area_shade = 1/4 (100*pi)
Area_shade = 25 * pi
That's one answer.
Another is 25 * 3.14 = 78.5 square units
Answer:
16/15
Step-by-step explanation:
Simplify the following:
8/3 - 8/5
Put 8/3 - 8/5 over the common denominator 15. 8/3 - 8/5 = (5×8)/15 + (3 (-8))/15:
(5×8)/15 + (3 (-8))/15
5×8 = 40:
40/15 + (3 (-8))/15
3 (-8) = -24:
40/15 + (-24)/15
40/15 - 24/15 = (40 - 24)/15:
(40 - 24)/15
| 3 | 10
| 4 | 0
- | 2 | 4
| 1 | 6:
Answer: 16/15
Answer:
if jack uses 10 cups of sugar he will need to use 6 tsp of vanilla extract
Step-by-step explanation:
10 devided by 2 1/2= 4
and 1/2 multiplied by 4 is 6
Answer:
562 child tickets were sold
217 adult tickets were sold
Step-by-step explanation:
A festival charges $3 for children admission and $5 for adult admission
At the end of the festival they have sold a total number of 779 tickets for $2771
Let x represent the child ticket
Let y represent the adult ticket
x + y= 779..............equation 1
3x + 5y= 2771..........equation 2
From equation 1
x + y = 779
x= 779 -y
Substitute 779-y for x in equation 2
3x + 5y= 2771
3(779-y) + 5y= 2771
2337 - 3y + 5y= 2771
2337 +2y= 2771
2y= 2771 -2337
2y = 434
y = 434/2
y = 217
Substitute 217 for y in equation 1
x + y= 779
x + 217= 779
x = 779-217
x= 562
Hence 562 child tickets were sold and 217 adult tickets were sold
