Ok, so let’s take the given phrase.
Eight more than the product of 3 and a number is -13. A translation to numbers looks like this:
3x + 8 = -13
Now, let’s solve for x. We can start the process by subtracting 8 from both sides.
3x = -21
now, we will divide each side by 3 to isolate the variable, thus solving for x.
x = -7
1 gallon = 7 miles
2 gallon = 14 miles
3 gallon = 21 miles
4 gallon = 28 miles
Here you would factor out a 1.7 because that is the coefficient in front of the j. When you factor, you are essentially dividing each term by the value you are factoring out
1.7j/1.7=j
-3.4/1.7=-2
So the final answer is 1/7(j-2)
Hope this helps<span />
Answer:
= 39 - 10n
Step-by-step explanation:
There is a common difference between consecutive terms , that is
19 - 29 = 9 - 19 = - 10
This indicates the sequence is arithmetic with nth term ( expicit formula )
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 29 and d = - 10 , then
= 29 - 10(n - 1) = 29 - 10n + 10 = 39 - 10n
Total number of songs in Julie's MP3 player = 860
Percentage of rap songs in Julie's MP3 player = 20%
Then
Number of rap songs in Julie's MP3 player = (20/100) * 860
= 860/5
= 172
Percentage of R&B songs in Julie's MP3 player = 15%
Then
Number of R&B songs in Julie's MP3 player = (15/100) * 860
= 1290/10
= 129
So
The number of other types of songs in Julie's MP3 player = 860 - (172 + 129)
= 860 - 301
= 559
So the number of other types of songs in Julie's MP3 player was 559.