11.) 4/5 * 3/4 = 12/20 reduces to 3/5
12.) 5 / (1/3) = 5 * 3 = 15
13.) 5 3/6 * 1 1/11 = 33/6 * 12/11 = 396/66 = 6
14.) 3 5/9 * 3/8 = 32/9 * 3/8 = 96/72 reduces to 4/3 or 1 1/3
15.) (2 5/6) / (1 1/2) = (17/6) / (3/2) = 17/6 * 2/3 = 34/18 reduces to 17/9 or
1 8/9.
16.) 24 / (2 3/4) = 24/(11/4) = 24 * 4/11 = 96/11 = 8 8/11
17.) 7 1/2 * 5 4/5...estimate : 8 * 6 = 48
18.) 9 8/15 * 11...estimate : 10 * 11 = 110
19.) (48 5/9) / (7 1/8)...estimate : 49/7 = 7
20.) (50 3/7) / (9 2/3)...estimate : 50/10 = 5
For the first question which is y=x/3, here as we see that both are in top. So they represents direct variation and constant of variation is 1/3 .
For the second question , which is 6/y=x, y is denominator and x is in the denominator. So they represents inverse variation and the constant of proportionality is 6 here .
If the point ( x, √3/ 3) is on the unit circle, then the value of x will be √2/ 3. The correct option is D.
<h3>What is the equation of the circle with radius r units, centered at (x,y)?</h3>
If a circle O has a radius of r units length and it has got its center positioned at (h, k) point of the coordinate plane,
then, its equation is given as:
The equation of unit circle is
Thus, x = √2/ 3
If the point ( x, √3/ 3) is on the unit circle, then the value of x will be √2/ 3.
The correct option is D.
Learn more about the equation of a circle here:
brainly.com/question/10165274
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1.1x+1.2x-5.4=-10x
Move all terms to the left:
1.1x+1.2x-5.4-(-10x)=0
Add all the numbers together, and all the variables
2.3x-(-10x)-5.4=0
Get rid of parentheses
2.3x+10x-5.4=0
Add all the numbers together, and all the variables
12.3x-5.4=0
Move all terms containing x to the left, all other terms to the right
12.3x=5.4
x=5.4/12.3
x=3.8571428571429/8.7857142857143
Hope it helps!
Eight divided by two times (5 plus 5)
