Answer:
- Elvira's speed: 3.0 mph
- Aletheia's speed: 2.4 mph
Step-by-step explanation:
Let "e" and "a" represent the speeds of Elvira and Aletheia, respectively. Then the total distance they cover is ...
distance = speed × time
(1/2)e + (2/3)a = 3.1
And the relationship between their speeds is ...
e - a = 0.6
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To solve this system, we can double the first equation and subtract the second to get ...
2(1/2e +2/3a) -(e -a) = 2(3.1) -(0.6)
7/3a = 5.6 . . . . . . . . . . simplify
a = (3/7)(5.6) = 2.4 . . . multiply by 3/7
e = a +0.6 = 3.0 . . . . . Elvira's speed is 0.6 mph more than Aletheia's
Elvira's walking speed is 3.0 miles per hour; Aletheia's is 2.4 miles per hour.
Answer:
2
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
First, we plug in -3 in place of x...
f(x) = 2(-3)^2 + (-3) + 1
Then, we simplify each indidvidual expression...
f(x) = 18 - 3 + 1
Finally, we add/subtract all the values to get our answer...
f(x) = 16
Step-by-step explanation:
a square plus b squad plus c
Answer:
34 units
Step-by-step explanation:
Since the triangles are equal, the bottom length of triangle CAD will be the same as the bottom length of BAD. This means that the total length of the bottom of triangle ABC is 6 (3 + 3).
Next, you need to find the length of AC and again, since they're the same triangle, AB will be the same as AC, 14.
The three side lengths of the triangle will be 6, 14, and 14, so the perimeter is
6 + 14 + 14 = 34 units
