Answer
Notebook each =$4
Folder each = $9

First we write out what we know
Notebook = n
Folder = f
It says a notebook is +5 than a folder so
f = n +5
It says he bought 3 notebooks and 2 folders for $30
3n + 2f = 30

Because we know from the first equation
f=n+5, we can substitute that into the second equation for f

3n + 2(n+5) = 30
3n + 2n +10 =30. Now Combine like terms
5n +10 =30. Now isolate n by subtracting 10 from both sides
5n = 20. Now isolate n by dividing both sides by 5
n = 4

Now we do the same thing to find f
We substitute the value of n (4) into the equation 3n + 2f =30
3(4) +2f =30
12 +2f =30. Now isolate f by subtracting 12 from both sides
2f = 18. Now isolate f by dividing both sides by 2
f = 9

We check our work by inserting the n and f values we found into one of the equations
n + 5 = f
4 + 5 = 9
9 = 9. It worked it equals so it’s correct

8 0

1 year ago

The measure of one angle is thirteen less than five times the measure of another angle. The sum of the measures of the two angle

Oduvanchick [21]

Answer:

The two angles are 25.5 and 114.5

Step-by-step explanation:

x = measure of one angle

5x - 13 = measure of the other angle {one angle is 13 less than 5 times the other}

x + 5x - 13 = 140 {sum of the two angles is 140}

6x - 13 = 140 {combined like terms}

6x = 153 {added 13 to each side}

x = 25.5 {divided each side by 6}

5x - 13 = 114.5 {substituted 25.5, in for x, into 5x - 13}

5 0

2 years ago