Answer:
x=-1-5√17/2
Step-by-step explanation:
logo((x-2)(x+2))=2
logo(x²+3x-2x-6)=2
x²+3x-2x-6=10²
x²+x-6=100
x²+x-106=0
x=-1+5√17/2
If Ava has 34 candy bars, and each box can hold 5 bars, then we need to find out how many boxes that are filled up.
Divide the number of candy bars (34), by the number each box can hold (5)
Since we cannot have 6.8 boxes, we have to round down to 6.
To check our answer, we multiply the number of boxes (6), by the number of bars in each box (5), to get 30. We add Ava's extra bars (4), and we get the number we started off with: 34. This proves our answer is correct!
Step 1
Let n represent car and m represent motorcycles.
n + m = 50 ...................1
car has four wheels and motorcycle has two wheels
4n + 2m = 164 .............................. 2
Step 2
Solve equation 1 and 2 simultaneously.
from (1), make n subject of relation and substitute in equation 2.
n = 50 - m
Step 3
Substitute n in equation 2
4(50 - m) + 2m = 164
200 - 4m + 2m = 164
collect like terms
200 - 164 = 4m - 2m
36 = 2m
m = 36/2
m = 18
next find n
n = 50 - m
n = 50 - 18
n = 32
There are 32 cars and 18 motorcycles.
The length of the arc is 1.06m. hope that helps!
