Where are the situations??
Answer: green = 25/100, red = 1/100
Step-by-step explanation: add ALL of the gumballs, there's your denominator, now you have 0/100 (1+74+25), count the amount of marbles you want to get the probability of, lets say green, there's your numerator (25) = 25/100
Your answer is 0.8 or 80%
Explanation:
Consider the ratio written like a fraction:
<span><span>Count of sandwichescount of people</span>→<span>46</span></span>
But we need the count of sandwiches for 1 person. So we need to change the 6 people into 1 person. To change 6 into 1 divide it by 6
<span>6÷6=1</span>
For ratios, when multiplying or dividing, what we do to the bottomwe do to the top.
So to change <span>46</span> into what we want we apply
<span><span><span>4÷6</span><span>6÷6</span></span>=<span><span>23</span>1</span>← <span>Count of sandwichescount of people</span></span>
So each person ends up with <span>23</span> of a sandwich
<span>Now see where the shortcut comes from <span>46</span>=<span>23</span><span> of a sandwich</span></span>
Answer:
The x-intercept of the line is the point (12,0)
Step-by-step explanation:
step 1
Find the slope of the lime
Take the points
(22,36) and (32,72)
The formula to calculate the slope between two points is equal to
substitute the values
step 2
Find the equation of the line in point slope form
we have
substitute
step 3
Find the x-intercept
we know that
The x-intercept of a line is the value of x when the value of y is equal to zero
so
For y=0
substitute in the equation and solve for x
therefore
The x-intercept of the line is the point (12,0)
Problem # 1
Not Factored: (5x^2 - 13x - 6)
Factored: (5x + 2 )(x - 3)
There is no real "work" to be shown for this, you can see that
1) Seperating 5x^2 into 5x and x will get you the equation in the form:
(5x ) (x ) = 5x^2 +
2) To complete this factor you need to guess which two numbers will add together to give you - 13x and multiply to form -6 (from the original unfactored equation). The numbers that will do this are 2 and 3
3) You can plug in negative or positives of those numbers to make sure they give you the exact results you need.
For example testing -2 and 3 you will get: (5x - 2) (x + 3 ) = 5(x^2) - 2x + 15x - 6 = 5x^2 +13x - 6. This is NOT the same as the unfactored equation. So you know -2 and 3 is the wrong choice. Choosing 2 and -3 will give you the answer instead.
As i said, there's no actual "work" to show this, you have to make guesses and try to factor it.
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Problem # 2
Not Factored: 4x^4 - 28x^3 + 48x^2
Factored: 4x^2 (x^2 - 7x + 12) =
4x^2 (x - 3) (x - 4)
To solve this, you factor out the 4x^2 from the entire equation. Then you can further factor the quadratic equation by seperating x^2 into (x )(x ) and guessing for which numbers will add to -7x and multiply to 12
