Answer:
<h3> The equation has one valid solution and no extraneous of solutions.</h3>
Step-by-step explanation:
Given the expression;
4x/3x+1 = x/2x+10
We are to get the nature of the value of x
Cross multiply;
x(3x+1) = 4x(2x+10)
3x²+x = 8x²+40x
Collect like terms;
3x²-8x² + x - 40x = 0
-5x²+x -40x = 0
-5x²-39x = 0
-5x² = 39x
-5x = 39
x = -39/5
<em>Since we have just one value of x hence, the equation has one valid solution and no extraneous of solutions.</em>
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Answer:
The perimeter of a rectangle is the sum of both lengths and both widths, which is equal to 54 meters. Let's call Length L and Width W.
The question is saying this: L = 3 meters + 3(W). We have 2 variables, which means we need at least 2 equations to solve. So far we have one, our second equation is from the perimeter.
2 lengths + 2 Widths = 54. Now, it's just a plug and chug.
2(3 + 3W) + 2W = 54.
6 + 6W + 2W = 54
8W = 48
W=6
L = 3 + 3(6) = 21
To double check: 2(21) + 2(6) = 42 + 12 = 54
The Width is 6 meters, and the Length is 21 meters.
Answer:
3.5
Step-by-step explanation:
Answer: median:3
Mean:4
Mode:2
Step-by-step explanation:
Okay, so to find like denominators you need to find a number that both denominators go into. For 15, they both go into 45. 9 goes in 5 times and 15 goes in 3 times. So multiply their numerators by 5 and 3. It would be 25/45 for 5/9 and it would be 12/45 for 4/15. Do the same for 16 and 17, for 16 they both go into 42 and for 17 they both go into 42.
