First you make -1 and 3/4 have a common denominator. 1 has a fraction of 1/1 so times four it is 4/4. Then you add on both sides in order to isolate x and you get 3/10x = 7/4.
Then you isolate x by multyiplying the reciprocal of 3/10 on both sides, 10/3.
3/10 and 10/3 cancel out and you get an answer of x = 70/4.
You could then simplify it to get 35/6 by finding a greasted common multiple of 12 and 70 which is 2 and dividing both by 2 to get a simpilier answer.
So the answer is x = 35/6
Answer:
Step-by-step explanation:
The formula of a volume of a sphere:
We have
Substitute:
<em>divide both sides by π</em>
<em>multiply both sides by 3</em>
<em>divide both sides by 4</em>
![R^3=\dfrac{1}{2}:4\\\\R^3=\dfrac{1}{2}\cdot\dfrac{1}{4}\\\\R^3=\dfrac{1}{8}\to R=\sqrt[3]{\dfrac{1}{8}}\\\\R=\dfrac{\sqrt1}{\sqrt8}\\\\R=\dfrac{1}{2}](https://tex.z-dn.net/?f=R%5E3%3D%5Cdfrac%7B1%7D%7B2%7D%3A4%5C%5C%5C%5CR%5E3%3D%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%5Cdfrac%7B1%7D%7B4%7D%5C%5C%5C%5CR%5E3%3D%5Cdfrac%7B1%7D%7B8%7D%5Cto%20R%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B1%7D%7B8%7D%7D%5C%5C%5C%5CR%3D%5Cdfrac%7B%5Csqrt1%7D%7B%5Csqrt8%7D%5C%5C%5C%5CR%3D%5Cdfrac%7B1%7D%7B2%7D)
Answer:
The probability is 5/36
Step-by-step explanation:
The total number of marbles is 2 + 4 + 1 + 5 = 12 marbles
The probability of randomly drawing a green marble would be
number of green marble/total number of marbles = 4/12 = 1/3
Now since we are replacing the total number of marbles stays the same
so, the probability of drawing a yellow marble now will be ;
number of yellow marbles/total number of marbles = 5/12
So the total probability we are having here would be; 1/3 * 5/12 = 5/36
Answer:
7 is (5-20) degrees because if you see 2is (3* 10) or 4 is (4*- 15) you will get your Answer
3x + 7y = 14
Subtract 3x from both sides
7y = -3x + 14
Slope is equal to -3.
