Answer:
The ratio of female-to-male is 1:2
Step-by-step explanation:
There are 10 female students and 20 male students. If we were to divide each number by 10, we would get 1 and 2, respectively. That means for every 1 female student, there are 2 male students. The ratio would then be 1:2.
Answer:
x = 5, y = -1/2
Step-by-step explanation:
3.5x - 5y = 20
3x + 4y = 13 multiply by 1.25 so the y's match up (you could match x's too)
3.75x + 5y = 16.25
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3.5x - 5y = 20
3.75x +5y = 16.25
7.25x + 0y = 36.25 you can add or subtract here (on this equation you add)
7.25x=36.25
x=5 So now we have x=5 and to find y we can just plug in x into one of the equations
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3(5) + 4y = 13
15 + 4y = 13
4y = -2
y = -1/2
x = 5, y = -1/2
Then you can plug in both to check your answers.
Answer:
(x - 5)(x + 3)
Step-by-step explanation:
to solve x² - 2x = 15, we need to get all the terms on one side so we can solve the quadratic equation using factoring. to do this, we subtract 15 from both sides
x² - 2x = 15
- 15 -15
x² - 2x - 15 = 0
now we can factor. we need 2 numbers that when multiplied together give us -15, and when those 2 numbers are added together we get -2
because we have a -15, we can assume that one number must be negative and the other positive, as a negative times a postive is a negative.
we can use 3 and -5 as factors and test it out. we put x in front because we have an x²
(x - 5)(x + 3) < we can FOIL to check to see if this is correct. its not mandatory to check but when you arent sure of the answer you can FOIL it out
FOIL stands for: First, Outside, Inside, and Last terms
F: (x - 5)(x + 3) = x²
O: (x - 5)(x + 3) = -3x
I: (x - 5)(x + 3) = 5x
L: (x - 5)(x + 3) = -15
x² + 3x - 5x - 15 < subtract 3x from 5x
x² - 2x - 15
this checks out, so our answer is (x - 5)(x + 3)
Answer:
c.) <-1, 2> + <-2, -1>
Step-by-step explanation:
hope i helped
Answer:
-6
Step-by-step explanation:
