If 1/5 of the cards are hockey cards, there are 2 hockey cards. if he wants to double that amount, he would multiply it by 2, so 2•2=4. The fraction of hockey cards is now is 2/5.
The length of the bridge is the distance from the beginning to the end.
<em>The distance b between each beam is 9ft.</em>
Let:
<em />
<em> I-Beam</em>
<em />
<em> distance between I beam and the bridge</em>
<em />
<em> distance between each I beam</em>
<em />
Given that:
<em />
<em> --- length of the bridge</em>
<em />
From the diagram (see attachment), there are: 6 I-beams.
So, the length of the 6 I-beams is:
There are 2 I-beams beside the bridge
So, the distance between the 2 I-beams and the bridge is:
There are 5 spaces between the I-beams
So, the length of the total spaces is:
The total length is:
So, we have:
Collect like terms
Convert inches to feet
Divide both sides by 5
<em>Hence, the distance (b) between each beam is 9ft.</em>
Read more about lengths at:
brainly.com/question/22059747
Answer: True
Step-by-step explanation: Natural numbers are the set of counting numbers and they begin at 1 and go on forever. All natural numbers are real numbers. In fact, the majority of numbers are real numbers such as imaginary numbers.
Using polynomial long division, we get
3x^3+6x^2+11x
_____________
(x+2) | 3x^4-x^2+cx-2
-(3x^4+6x^3)
____________
6x^3-x^2+cx-2
- (6x^3+12x^2)
_____________
11x^2+cx-2
-(11x^2+22x)
__________
(22+c)x-2.
If you're wondering how I did the long division, what I essentially did was get the first value (at the start, it was 3x^4) and divided it by the first value of the divisor (which in x+2 was x) to get 3x^3 in our example. I then subtracted the polynomial by the whole divisor multiplied by, for example, 3x^3 and repeated the process.
For this to be a perfect factor, (x+2)*something must be equal to (22+c)x-2. Focusing on how to cancel out the 2, we have to add 2 to it. To add 2 to it, we have to multiply (x+2) by 1. However, there's a catch, which is that we subtract whatever we multiply (x+2) by, so we have to multiply it by -1 instead. We still need to cross out (22+c)x. Multiplying (x+2) by -1, we get
(-x-2) but by subtracting the whole thing from something means that we have to add -(-x-2)=x+2 to something to get 0. x+2-x-2=0, xo (22+c)x-2 must equal -x-2, meaning that (22+c)=-1 and c=-23
There are many different combinations.
We just need two numbers that when you multiply them you get 12.
We can have:
Length = 1
Width = 12
Length = 12
Width = 1
Length = 2
Width = 6
Length = 6
Width = 2
Length = 3
Width = 4
Length = 4
Width = 3
