First denominator -- x
<span>first numerator ---- x-2 </span>
<span>new denominator -- x+3 </span>
<span>new numerator ---- x+1 </span>
<span>(x-2)/x + 3/20 = (x+1)/(x+3) </span>
<span>times 20x(x+3) , the LCD </span>
<span>20(x+3)(x+1) + 3x(x+3) = 20x(x+1) </span>
<span>expanding and simplifying gave me </span>
<span>x^2 + 3x - 40 = 0 </span>
<span>(x-5)(x+8) = 0 </span>
<span>x = 5 or x=-8 </span>
<span>if x=5, the original fraction was 3/5 </span>
<span>if x=-8 the original fraction was -10/-8 or 5/4 </span>
<span>check for 3/5 , new fraction would be 6/8 or 3/4 </span>
<span>3/5 + 3/20 = 12/20 + 3/20 = 15/20 = 3/4 </span>
<span>but for 5/4, new fraction would be 8/7 </span>
<span>5/4 + 3/20 = 28/20 = 7/5 ≠ 8/7 </span>
<span>BUT, if we take the unsimplified fraction -10/-8 , new fraction would be -7/-5 = 7/5 </span>
<span>So the original fraction would be 3/5 for sure, but </span>
<span>also the unsimplified fraction -10/-8</span>
Answer:
y= -2x+2.
Step-by-step explanation:
1) according to the condition interception is '2' (point (0;2));
2) slope is: (2+4)/(0-3)= -2;
3) finally the required equation is: y=-2x+2.
P.S. the suggested option is not the only one.
Answer:
-3/5
-1/2
-0.4
0.6
4/5
Step-by-step explanation:
For this question I converted the fractions to decimals.
-3/5 = -0.6
-1/2 = -0.5
4/5 = 0.8
Start off with the negatives, as they are the lowest numbers. <em>The further they are from zero the lower they get.</em>
-0.6 (-3/5)
-0.5 (-1/2)
-0.4
Now there are only <em>2</em> positive numbers, so order them.
0.6
0.8 (4/5)
Put it all together:
-3/5
-1/2
-0.4
0.6
4/5
Answer:
D
Step-by-step explanation:
Here, we want to select the possible table of the given line
Let us look at the intercepts
On the x-axis, we have an intercept at x = 2
On the y-axis, we have an intercept at y = -4
This means that when y = 0, x = 2 and when x = 0, y = -4
Looking at the options, the table that supports this answer is the table of option D
38 yard piece for each student and there are 16 students:
38*16=608
608 yards needed for your class
