Answer:
Step-by-step explanation:
1 ) Y∝ 1 / X
Y = k / X
Y = 9 , X = -5
Putting the values in the relation above
9 = k / - 5
k = -45
Y = - 45 / X
Put Y = - 6
- 6 = - 45 / X
X = - 45 / -6
= 7.5
2 )
Luke and Nora can peel 12 carrots in 5 minutes
in 1 minute Luke and Nora can peel 12 / 5 carrot
in 1 minute Luke alone can peel 12/ 11 carrot .
In 1 minute Nora alone will peel (12 / 5 - 12/ 11 ) carrot
(12 / 5 - 12 / 11 )
= 2.4 - 1.1
= 1.3 carrot
In 1 minute Nora alone will peel 1.3 carrot
1.3 carrot in 1 minute
8 carrot in 8 / 1.3 minute
= 6.15 minutes.
In 1 minute Nora alone will peel 8 carrot in 6.15 minutes working alone.
Answer:
x = -4
Step-by-step explanation:
Distribute:
-2(x + 5) = -2
-2(x) -2(5) = -2
Multiply:
-2(x) -2(5) = -2
-2x - 10 = -2
Add 10 on both sides:
-2x - 10 = -2
+10 +10
-2x = 8
Divide by -2 on both sides:
-2x = 8
/-2 /-2
x = -4
Answer:
The value of Z should be 11.
Step-by-step explanation:
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Answer:
If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360° .
Consider the sum of the measures of the exterior angles for an n -gon.
N=180n−180(n−2)
Distribute 180 .
N=180n−180n+360 =360.
Step-by-step explanation: