Step-by-step explanation: (I'm not gonna' do it <em>all</em> for you tho)
to convert from <u>percent to fraction</u>:
70% = 
to convert from <u>fraction to percent</u>:
= 55%
to convert from <u>fraction to decimal</u>:
to convert from <u>decimal to fraction</u>:
to convert from <u>percent to decimal</u>:
0.2% = 
to convert from <u>decimal to percent</u>:
% = 40%
With that, you can solve the rest on your own
95% * x = 95
95/100 * x = 95
0,95 * x = 95
0,95x = 95 / : 0,95
x = 100
Answer/Step-by-step explanation:
✍️Slope of the line using two points, (2, 2) and (6, 10),
✍️To find the equation of the line in slope-intercept form, we need to find the y-intercept (b).
Substitute x = 2, y = 2, and m = 2 in y = mx + b, and solve for b.
2 = (2)(2) + b
2 = 4 + b
2 - 4 = b
-2 = b
b = -2
Substitute m = 2 and b = -2 in y = mx + b.
✅The equation would be:
✍️To find the value of a, plug in (a, 8) as (x, y) into the equation of the line.
Add 2 to both sides
Divide both sides by 2
a = 5
✍️To find the value of b, plug in (4, b) as (x, y) into the equation of the line.
The answer is y = 2x + 3.
x - Kay's age
y - Jane's age
m - Mary's age
<span>Jane is 3 years older than Mary: y = m + 3
</span><span>Mary is twice as old as Kay: m = 2x
</span><span>
y = m + 3
m = 2x
Substitute m in the first equation:
y = 2x + 3
</span>
The solutions for the given quadratic equation are x = -1 and x = 3. So, option B is correct.
<h3>What are the solutions to an equation?</h3>
- The solutions to an equation are the one that satisfies the equation and makes it true.
- There are different methods to solve an equation and find its solutions.
- These solutions are also called zeros or roots of the equation.
<h3>Calculation:</h3>
The given equation is 4x² - 8x - 12 = 0
Since it is a quadratic equation, it has 2 roots or solutions.
On factorizing the given equation,
4x² - 8x - 12 = 0
⇒ 4x² - 12x + 4x -12 = 0
⇒ 4x(x - 3) + 4(x - 3) = 0
⇒ (4x + 4)(x - 3) = 0
According to the zero-product rule,
4x + 4 = 0 or x - 3 = 0
So, x = -4/4 = -1 or x = 3
Therefore, the solutions of the given equation are -1 and 3.
So, option B) x = -1 and x = 3 is correct.
Learn more about solving an equation here:
brainly.com/question/25678139
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