Answer:
Common logarithm
Natural logarithms
or
Step-by-step explanation:
From the question we are told that
Generally converting log from base x to base 10 si mathematically represented as
Therefore
Common logarithm
Generally Natural logarithms is mathematically represented as
Therefore
Natural logarithms
or
Answer:
96
Step-by-step explanation:
If the hourly production rate is p parts, then the daily production quantity for an 8-hour day is 8p. If changing the rate to p+4 per hour means the same quantity can be produced in 6 hours, then we can write the equation ...
6(p+4) = 8p
6p + 24 = 8p . . . eliminate parentheses
24 = 2p . . . . . . . subtract 6p
12 = p . . . . . . . . . normal hourly production rate
8p = 8·12 = 96 . . . . scheduled daily production quantity
The worker has to finish 96 parts during the day according to the schedule.
Answer:
- Small cups were 98
- Large cups were 57
Step-by-step explanation:
Ashley sold small cups of lemonade for $1.25 and;
Large cups of lemonade for $2.50
The total number of cups = 155 cups
Total sales = $265
Let number of small cups sold be (s) and a number of large cups sold be (l)
This forms a simultaneous equation below:
s + l = 155 ... (i)
1.25s + 2.5l = 265 ... (ii)
Multiplying (i) by 1.25 and (ii) by 1 we get:
1.25s + 1.25l = 193.75 ... (i)
1.25s + 2.5l = 265 ... (ii)
Subtracting (i) from (ii) we get:
0s + 1.25l = 71.25
1.25l = 71.25
l = 71.25 ÷ 1.25 = 57
So the number of large cups = 57 and;
the number of small cups = 155 - 57 = 98
Answer:
51 and 42
Step-by-step explanation:
Use
x + y = 93
x - y = 9
Add those two equations together and you get 2x = 102
*y is not in the equation anymore because y + -y = 0*
Divide both sides by 2
x = 51
plug x into one of the equations; let's use x + y = 93
Then you get, 51 + y = 93
Subtract both sides by 51 and you get y = 42
Plug both in the other equation to make sure the numbers work.
51 + 42 = 93; true
51 - 42 = 9; true