Answer:
6/10 ; 3/5 (simplified form)
Step-by-step explanation:
To solve, note the decimal place value. Move the decimal point to the right two place values, and set it over 100
0.6 = 60/100
Simplify the fraction. Divide common factors from the numerator & denominator (20 in this case)
(60/100)/(20/20) = 3/5
3/5 is your answer
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Answer:
![\frac{8x}{14y} = \frac{ \frac{8x}{2} }{ \frac{14y}{2} } = \frac{4x}{7y} \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B8x%7D%7B14y%7D%20%20%3D%20%20%5Cfrac%7B%20%5Cfrac%7B8x%7D%7B2%7D%20%7D%7B%20%5Cfrac%7B14y%7D%7B2%7D%20%7D%20%20%3D%20%20%5Cfrac%7B4x%7D%7B7y%7D%20%20%5C%5C%20)
Hence, they are equivalent.
Answer:
Mike is not correct.
Step-by-step explanation:
The probability is an "out of" statement. meaning out of all 6 marbles if 2 are red how what is the probability of choosing a red marble the answer is 2 out of 6 or 1/3 or 0.3333333etc. For green the probability is 1 out of 6 or 1/6 or 0.16666666etc
On a right triangle, to find one missing side you can use this equation
a^2 + b^2 = c^2
a and b are the sides next to the right angle, and c is the hypotenuse (side not connected to right angle).
You first need to find the length of the dotted line before finding x. This is because to be able to use the above formula, you have to know the length of two out of three of the sides.
To solve the length of the dotted line, note that it also makes a triangle with the 5 unit line and the 5 √5 unit line. You can plug these numbers into the formula.
(5)^2+b^2=(5 √5)^2
25+b^2=125
b^2=100
b=10
Now that you know the length of the dotted line is 10 units, you can now solve for x
(20)^2+(10)^2=x^2
400+100=x^2
500=x^2
x= √500, which equals 22.361