Answer:
13 or 13.125 you have to look at your notes to see which it is. Personally I would take 13. Try that first.
Step-by-step explanation:
Be careful how you interpret this question. It reads like this.
3:8 :: x:35
In other words, the 8 and 35 females goes together.
Set this up as a proportion
3/8 = x / 35 Cross multiply
3*35 = 8x Combine the left
105 = 8x Switch
8x = 105 Divide by 8
x = 105 / 8 get the answer
x = 13.125 You cannot have 1/8 of a person. So what are you going to do?
You have to round down. x = 13. How close is this
13/35 = 0.371 as apposed to 0.375 which is what 3/8 is.
Answer:
The -1 came from factoring.
The equation is multiplied by 8 because 8 could be pulled from 16x-8.
16 can be divided by 8 2 times and 8 can only divided by 8 once.
so factoring it makes the equation 8(2x-1)
Answer:
5x+8
Step-by-step explanation:
It takes some trial and error
To find the factored form, you know that the format will look like
(x^n +/- a) (x^n +/- b)
Since the expanded form has x^4, the first part of each expression in parentheses will be x^2 because x^2 * x^2 will give you x^4
Then you have to figure out, how will you get -9 in the expanded form? The "a" and "b" parts of each expression will have to multiply to equal -9.
Factors of -9 will be -3*3 or -1*9 or -9*1
Also, consider the 8x^2 part - as it relates to finding the factors of 9. The parts of the expression that result in 8x^2 in the expanded form ...
a*x^2 + b*x^2 = 8x^2
If you think about this, you know the a and b will = -1 and 9 because you also have to add the expressions with x^2 to get 8x^2, and 3 and 3 would not give you the 8x^2 and neither would nor would -9 and 1.
Final factored form is
(x^2 - 1) (x^2 + 9)
Answer:
1.6 cups of sugar
Step-by-step explanation:
0.4 cups of sugar for 1 batch of cookies
And to find out the amount of sugar we need
We multiply 0.4 for the amount of batches
In this case it will be
0.4 x 4= 1.6 cups of sugar
