Answer:
x=
3
/7
or x=
−1
/4
Step-by-step explanation:
Answer:
Plates are 2.80 Dollars and cups are 1.40 dollars
Step-by-step explanation:
Cups = c
Plates = p
6p + 5c = 23.80 ==> multiply by 6 ==> 36p + 30c = 142.80
7p + 6c = 28.00 ==> multiply by 5 ==> 35p + 30c = 140.00
Now use algebra to have the 30c be on one side and the rest on the other:
36p + 30c = 142.80 | -36p
30c = 142.80 - 36p
35p + 30c = 140.00 | -35p
30c = 140.00 - 35p
Now set them equal to each other about the 30c:
142.80 - 36p = 140.00 - 35p
Use algebra to solve for p:
142.80 - 36p = 140.00 - 35p | +36p
142.80 = 140.00 + p | - 140
2.80 = p
Go back to one of the "30c" equations and plug in the value for p:
30c = 140 - 35p
30c = 140 - 35(2.80)
30c = 140 - 98
30c = 42 | /30
c = 42/30
c = 1.4
Answer:
1/14
Step-by-step explanation:
5/15 × 3/14 = 1/14
Or 0.0714 (3sf)
Answer:
2/5
Step-by-step explanation:
The desired ratio is ...
(part-time)/(total) = (part-time)/((part-time) +(full-time)) = 12/(12+18)
= 12/30 = 2/5
The ratio of part-time workers to total workers is 2 : 5.
