Answer:
2
Step-by-step explanation:
Given
7x + 2 = 16
Subtracting 2 from both sides
7x + 2 - 2 = 16 - 2
7x = 14
Dividing both sides by 7
7x / 7 = 14 /7
x = 2
Hope it will help :)
Answer:
(mn+n²)/(m+n)
Step-by-step explanation:
probability of blue marble= n/(n+m)
probability of red marble= m/(n+m)
probability that process stops = Probability of both blue + probability of both red= n/(n+m) × n/(n+m) + m/(n+m)×m/(n+m)
= (n²+m²)/(n+m)²
P(1st marbel is blue)= P(blue and red) + P(blue and blue)
= mn/(n+m) + n²/(n+m)
= (mn+n²)/(m+n)
P(1st marble is blue | process stops)= ( (mn+n²)/(m+n)× (n²+m²)/(n+m)²)/ ((n²+m²)/(n+m)²)
= (mn+n²)/(m+n)
An easy way to solve this is to convert 1/8 into a percentage then see from that point.
To turn 1/8 into a percentage, you must first get the decimal form of the fraction. In this case, 1/8 as a decimal is 0.125.
Now that we have the decimal form, we can divide the decimal over 100 (common numerical number to use when dividing) to get the percentage, which should be 12.5%.
Now, our new question is 'what's bigger, 80% or 12.5%?'
The answer is 80%, since it is larger than 12.5%.
Answer:
The measure of segment AC is 36 units
Step-by-step explanation:
- The mid-point divides the segment into two equal parts in length
- B is the mid point of segment AC
- That means B divides segment AC into two equal parts in length
∴ AB = BC
∵ AC = 5x - 9
∵ AB = 2x
- The two parts AB and BC are equal in length
∴ BC = 2x
∵ AC = AB + BC
- Substitute the values of AB and BC in the expression of AC
∴ AC = 2x + 2x
∴ AC = 4x
∵ AC = 5x - 9
- Equate the two values of AC
∴ 5x - 9 = 4x
- Add 9 to both sides
∴ 5x = 4x + 9
- Subtract 4x from both sides
∴ x = 9
- Substitute the value of x in any expression of AC
∵ AC = 4x
∵ x = 9
∴ AC = 4(9) = 36
* The measure of segment AC is 36 units
Answer:
The equation of the line is,
Step-by-step explanation:
First, you have to write it in a form of y = mx + b :
When both lines are parallel to each other, they will have to same gradient value. So the equation of the line is y = (-2/5)x + b. Next, you have to find the value of b by substutituting (-10,3) into the equation :
