Answer:
see image
Step-by-step explanation:
Putting the data on the line plot is not too bad. Just put an x above the number on the numberline. If a number in the data set repeats, just stack those x's up over the numberline. It seems like the hardest part is labelling the number line. Each tick mark can be 1/8. On the image I wrote all the fractions in eighths at the bottom, then to label the numberline I used the simplified fractions. For example I started with 1 3/8 because it was the smallest number in the data set. Next is 1 4/8, but simplified that is 1 1/2. So 1 1/2 is how we label the numberline.
There were 12 pieces of data, but really only six numbers because some were repeated.
Stack x's above the numberline. Done! You have a line plot. See image.
Answer:
5/7
Step-by-step explanation:
In order to multiply fractions, multiply the numerators together and multiply the denominators together - the answers will be the numerators and denominators of the product, respectively. Also, remember that 5 can also be expressed as 
in fraction form since it is a whole number.
Knowing this, multiply like so:
·
Therefore, 5/7 is the answer.
First we need to find the distance from G to A, or the length of segment GA
For now we'll call this x since it's unknown. This value x adds to the other three sides of the figure to get the perimeter to be 172 inches (given)
So,
EG + GA + AM + ME = perimeter
56 + x + 56 + 35 = 172
x+147 = 172
x+147-147 = 172-147 .... subtract 147 from both sides
x = 25
So segment GA is 25 inches
We'll use this to find the length of segment G'A' which corresponds to GA
The other horizontal sides EM and E'M' also correspond, so we'll pair these sides up and form the proportion below
(GA)/(G'A') = (EM)/(E'M')
which turns into this
25/y = 35/14
when we use y in place of G'A'. Like x, y is unknown at first until we solve for it. Let's isolate y
25/y = 35/14
25*14 = y*35 .... cross multiply
350 = 35y
35y = 350
35y/35 = 350/35 .... divide both sides by 35
y = 10
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<h3>Final Answer: The length of G'A' is 10 inches</h3>
Answer:
x = 1
y = -2
Step-by-step explanation:
5x - 2y = 9 -----------(I)
2x + 7y = -12 --------------(II)
Multiply (I) by 7 35x - 14y = 63
Multiply (II) by 2 <u>4x + 14y = - 24</u><u> </u> {Now add and thus y will be eliminated}
39x = 39
x = 39/39
x = 1
Plugin x = 1 in equation(I)
5*1 - 2y = 9
5 -2y = 9
-2y = 9 -5
-2y = 4
y = 4/-2
y = -2
