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
Answer:
B. Yes, they both mean the same thing. They can also both be represented by the expression y - 6.
Step-by-step explanation:
Given
Phrase 1: 6 less a number y
Phrase 2: 6 less than a number y
<em>Mathematically,</em>
Phrase 1 can be represented as follows;

<em>Mathematically,</em>
Phrase 2 can be represented as follows;

<em>Since the representation of both phrases are the same, then option B answers the question.</em>
<em></em>
Answer: no solutions
Step-by-step explanation:
12x+32=12x-7
12x-12x=-7-32
0x=-39
No solutions
Answer:
1) pounds
2) grams
3) tons
Step-by-step explanation:
The suitable measurements for the scenarios are:
1) A piano weighs 5.5 × 10² units
550 Ib (pounds)
2) A grain of salt weighs 1.02 ×
units
0.00102 grams
3) A tractor trailer weighs 8.8 ×
units
88 ton
10²g = 1kg
10^-3g = miligrams
10^1 g = decagram
Answer:
Step-by-step explanation:
The position function is
and if we are looking for the time t it takes for the ball to hit the ground, we are looking for the height of the ball when it is on the ground. Of course the height of anything on the ground is 0, so if we set s(t) = 0 and solve for t, we will find our answer.
and factor that however you are currently factoring in class to get that
t = -.71428 seconds or
t = 1.42857 seconds (neither one of those is rational so they can't be expressed as fractions).
We all know that time will never be a negative value, so the time it takes this ball to hit the ground is
1.42857 seconds (round how you need to).