Hi!
We need the perimeter in meters, so we have to turn cm into m.
63 cm = 0.63 m
The perimeter is the sum of all side measures:
P = 0.63 + 0.63 + 0.63 + 0.63
P = 4 * 0.63
P = 2.52 m
;)
Call the notebooks x, and the pencils y.
<span>3x + 4y = $8.50 and 5x + 8y = $14.50 </span>
<span>Then just solve as simultaneous equations: </span>
<span>3x + 4y = $8.50 </span>
<span>5x + 8y = $14.50 </span>
<span>5(3x + 4y = 8.5) </span>
<span>3(5x + 8y = 14.5) </span>
<span>15x + 20y = 42.5 </span>
<span>15x + 24y = 43.5 </span>
<span>Think: DASS (Different Add, Similar Subtract). 15x appears in both equations so subtract one equation from the other. Eassier to subtract (15x + 20y = 42.5) from (15x + 24y = 43.5) </span>
<span>(15x + 24y = 43.5) - (15x + 20y = 42.5) = (4y = 1) which means y = 0.25. </span>
<span>Then substitue into equation : </span>
<span>15x + 20y = 42.5 </span>
<span>15x + 5 + 42.5 </span>
<span>15x = 42.5 - 5 = 37.5 </span>
<span>15x = 37.5 </span>
<span>x = 2.5 </span>
<span>15x + 24y = 43.5 </span>
<span>15(2.5) + 24(0.25) </span>
<span>37.5 + 6 = 43.5 </span>
<span>So x (notebooks) are 2.5 ($2.50) each and y (pencils) are 0.25 ($0.25) each.</span>
So you want to find two numbers that add up to -13 and multiply to
40. You can find the factors of 40 and find the pair that adds up to
-13. -8 and -5 multiply to 40 and add up to -13.
<span><span>(x−5)</span><span>(x−8)</span>=<span>x2</span>−13x+40</span>
You can use foil to test it
<span><span>x2</span>+<span>(−8x)</span>+<span>(−5x)</span>+40=<span>x2</span>−13x+40</span>
<span><span>x2</span>−13x+40=<span>x2</span>−13x+</span>
100+30=130
100+40=140
online price is 130% or original
superstore price is 140% or original
the difference bewteen them is 140-130=10% of the original price
A. 1.3 times 160=208=online
1.4 times 160=224=superstore
B. difference is 224-208=16=10% of 160
it is 10% of the original price
A. online=$208
superstore=$224
B. $16, this is 10% of the original price
Answer:
x=8.5
Step-by-step explanation:
3 angles of a triangle = 180 degrees
c=45 a=50
180=45+50+b
130=45+b
85=b
b=d
d=85
10x=85
x=8.5