Answer:
the number of sponges per package bought be 32.5
Step-by-step explanation:
Let us assume the number of sponges per package be x
So the number of packages he bought be x - 14
And, the overall he bought 51 sponges
So
the number of packages of sponges did roger buy is
x + x - 14 = 51
2x = 51 + 14
2x = 65
x = 32.5
So the number of sponges per package bought be 32.5
Answer:
Step-by-step explanation:
One
v^2 - 16
This formation is called the difference of squares. That's because there are 2 squares v^2 and 16. The key to this question is the minus sign.
The square root of v^2 = v
The square root of 16 = 4
You get (v + 4)(v - 4)
Let's see what happens when you expand it.
- v*v = v^2
- v*(-4) = - 4v
- v*(4) = 4v
- 4*-4 = - 16
Look what happens when you add these 4 terms together.
- v^2 - 4v + 4v - 16
- v^2 - 16
is what is left. The two middle terms cancel out.
Two
This one is a perfect square
w^2 + 16w + 64
(w + 8)(w + 8)
Notice both factors are the same. You might wonder how I new that.
w^2 is a perfect square so take the square root. .... v
64 is a perfect square so take the square root ..... 8
Now you have to work backwards to see if it is right.
- w*w = w^2
- w*8 = 8w
- 8*w = 8w
- 8^2 = 64
Adding you get w^2 + 16w + 64 which is what you started with.
Answer:
a. x = 3/a
Step-by-step explanation:
Add all like terms on left hand side of the equation:
5 ax + 3 ax => 8 ax
Bring like term 4ax on left hand side
8ax - 4ax
=> 4ax
Therefore we get 4ax = 12
ax = 12/4
ax = 3
x = 3/a
Answer:
Henry rented the backhoe for three days
Step-by-step explanation:
It's simple. First, you suppose that the number of days he rented the backhoe is 'm'. Then you equate the bill to the amount that corresponds the number of rented days.
The bill came for 286.50$. That'd mean, m*95.50$ = 286.50$ => m = 286.50/95.50 = 3
