Answer:
Average rate of car: x+3
Walking rate: x
The equation is
10/15 = x/x+3
So
x = 6
So
Average rate of car: 9 mph
Walking rate: 6 mph
Step-by-step explanation:
Answer:
y = 8x
Step-by-step explanation:
When the number of people increased by 10, the caterer charged an additional $80. Therefore, we estimate that the cost per person is $8. In order to verify:
$8/person * 15 people = $120. True. $8/person * 25 people = $200. True.
Therefore, if we let x represent the number of people being cater for and y represent the cost, the equation to model the situation is simply y = 8x.
hope it helps!
Answer:
n = 20.
Step-by-step explanation:
The external angles of a polygon add up to 360 degrees. So:
30 + 42 + 16(n - 2) = 360 where n is the number of sides of the polygon.
16n + 30 + 42 - 32 = 360
16n + 40 = 360
16n = 320
n = 20.
8(4n + 13) = 6n
Use distributive property so :8 (4n) = 32n and 8(13) = 104
32n + 104 = 6n
Subtract 32n from each side and you will get:
104 = 26n
then you divide each side by 26 and your answer will be:
n = 4
I'm pretty sure it's a prime number.