Answer:
279.00
Step-by-step explanation:
7.75x36
-5 and 15. -5 times 15 is equal to -75, and they also add to 10.
The area under the speed curve tells you how much distance the vehicle covers.
The distance for first 30 s corresponds to the area of a rectangle with height <em>k</em> m/s and length 30 s, or
(<em>k</em> m/s) (30 s) = 30<em>k</em> m
The distance for the last 20 s corresponds to the area of triangle with height <em>k</em> m/s and length 20 s, or
1/2 (<em>k</em> m/s) (20 s) = 10<em>k</em> m
If the total distance traveled was 1.7 km = 1700 m, then
30<em>k</em> + 10<em>k</em> = 1700
40<em>k</em> = 1700
<em>k</em> = 42.5
Let x and y represent the smaller and larger numbers, respectively.
y - x = 5 . . . . . the difference is 5
3y = 4x + 6 . . 3 times the larger is 4 times the smaller plus 6
Add x to the first equation to get an expression for y.
y = x + 5
Use that in the second equation.
3(x + 5) = 4x + 6
3x + 15 = 4x + 6 . . . . . eliminate parentheses
9 = x . . . . . . . . . . . . . . add -3x-6
y = x+5 = 14
smaller number: 9
larger number: 14