Answer:
2 solutions
Step-by-step explanation:
We are given the equations of f(x) and g(x).
To find f(x) = g(x), we just let those two equations equal each other

Group all like terms,

Factorise,


Therefore, there are two solutions
Hope this helped!!
Answer:
sandwich = 6.50
Step-by-step explanation:
Let s = sandwich price
d = drink price
6s + 4d = 53
4s + 6d = 47
Multiply the first equation by 3
18s + 12d = 159
Multiply the second equation by -2
-4s - 12d = -94
Add these equations together
18s + 12d = 159
-8s - 12d = -94
--------------------------
10s = 65
Divide by 10
s = 65/10
s =6.5
1800 boxes with 24 candies each
Total = 1800 * 24 = 43 200 candies
The machine makes 600 candies in 1 minute
1 candy would take (1/600) minute
43 200 candies would take 43200 * 1/600 = 72
= 72 minutes.
Therefore the 1800 boxes would be done in 72 minutes.
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7 7/8
= [ (8*7) + 7 ] / 8
= (56 + 7) / 8
=63 / 8
similarly,
3 1/4
=[ (4*3) + 1] / 4
= (12 + 1) / 4
= 13/4
----------------------------
now put the values
7 7/8 - 3 1/4
= 63/8 - 13/4
here, take LCM of 8 & 4 which is 8.
now,
[ (1*63) - (2 * 13) ] / 8
= (63 - 26) / 8
= 37/8
= 4 5/8........................[ here, divide 37 by 8 which gives reminder as 5 and divisible value as 4 ]</span>