Let the distance of Judy from intersection is x and distance of Jackie from intersection is y.
We convert the given information to equations, step by step.
Point 1: When Jackie is 1 mile farther from the intersection than Judy.
This means y is 1 mile more than x.
So,
y = 1 + x
Point 2: The distance between them is 2 miles more than Judy’s distance from the intersection.
Distance between is x+ y.
So, x+y is 2 miles more than y.
x+y = y + 2
⇒
x = 2
From point 1 we have:
y = 1 + x = 1+ 2 = 3
So,
Distance of Judy from intersection is 2 miles and distance of Jackie from intersection is 3 miles.
Answer:
Pounds of raisins = 1.5 lb
Pounds of cashew = 3.5 lb
Step-by-step explanation:
Let
Pounds of raisins = x
Pounds of cashew = y
x + y = 5 (1)
4.50x + 9.50y = 40 (2)
From (1)
x = 5 - y
Substitute x = 5 - y into
4.50x + 9.50y = 40
4.50(5 - y) + 9.50y = 40
22.50 - 4.50y + 9.50y = 40
- 4.50y + 9.50y = 40 - 22.50
5y = 17.5
y = 17.5 / 5
= 3.5
y = 3.5lb
Substitute y = 3.5 into
x + y = 5
x + 3.5 = 5
x = 5 - 3.5
= 1.5
x = 1.5lb
Pounds of raisins = 1.5 lb
Pounds of cashew = 3.5 lb
Equilateral triangle have the same side lengths. Perimeter = sum of all sides
(4x - 3) + (4x - 3) + (4x - 3) = 63
Remove parentheses
4x - 3 + 4x - 3 + 4x - 3 = 63
Combine like terms
12x - 9 = 63
12x = 72, x = 6
Solution: x = 6
There is no graph. If you submit a graph I will answer this for you though.
Answer:
Step-by-step explanation:
1,8
5,7
2,3
