Answer:
The single decimal multiplier used to increase by 18% followed by a 12% decrease is 0.21.
Step-by-step explanation:
Let 'x' be the number
As first the number has to be increased by 18%
so
Step 1: write the percentage '18%' in decimal form
18% = 0.18
Step 2: For percentage increases: add the decimal to 1
1 + 0.18 = 1.18
Step 3: Multiply the number x by the multiplier, found in Step 2
x × 1.18 = 1.18x
<u><em>NEXT WE HAVE TO DECREASE 1.18x by 12%</em></u>
Apply the same method but with a number 1.18x
- Write the percentage '12%' in decimal form
12% = 0.12
- For percentage decreases: subtract the decimal to 1
1 - 0.18 = 0.18
- Multiply the number 1.18x by the multiplier, found in Previous step
1.18x × 0.18 = 0.21x
Therefore, the single decimal multiplier used to increase by 18% followed by a 12% decrease is 0.21.
Answer:
8 nickels and 9 dimes
Step-by-step explanation:
If all were dimes, the value would be $1.70. It is $0.40 less than that. Changing a dime for a nickel reduces the value by $0.05, so there must have been $0.40/$0.05 = 8 such changes.
There are 8 nickels and 9 dimes.
_____
<em>Check</em>
8 · 0.05 + 9 · 0.10 = 0.40 + 0.90 = 1.30 . . . the answer checks OK
Answer:
I answered your last question also
2 log3x – 2 logx3 -3 <0
Step-by-step explanation:
Answer:
x = -3/16
Step-by-step explanation:
6x + 5x - 25 = -5x - 28
11x - 25 = -5x - 28
Add 5x to both sides.
16x - 25 = -5x + 5x - 28
16x - 25 = -28
Add 25 to both sides.
16x - 25 + 25 = -28 + 25
16x = -3
Divide both sides by 16
16/16 = 1
-3/16
x = -3/16