Answer:
jil got 18 chocolates
Step-by-step explanation:
let the ratio constants be x,
so, jil has 3x chocolates
katie has 4x chocolates
and we know total chocolates = 42
then,
=》3x + 4x = 42
=》7x = 42
=》x = 42 ÷ 7
=》x = 6
so, jil got 3x = (3 × 6) = 18 chocolates
katie got 4x = (4 × 6) = 24 chocolates
Answer:
A) x = 3 or -1
B) x = -7
C)x = -7
Step-by-step explanation:
A) x² + 2x + 1 = 2x² - 2
Rearranging, we have;
2x² - x² - 2x - 2 - 1 = 0
x² - 2x - 3 = 0
Using quadratic formula, we have;
x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)
x = (2 ± √16)/2
x = (2 + 4)/2 or (2 - 4)/2
x = 6/2 or -2/2
x = 3 or -1
B) ((x + 2)/3) - 2/15 = (x - 2)/5
Multiply through by 15 to get;
5(x + 2) - 2 = 3(x - 2)
5x + 10 - 2 = 3x - 6
5x - 3x = -6 - 10 + 2
2x = -14
x = -14/2
x = -7
C) log(2x + 3) = 2log x
From log derivations, 2 log x is same as log x²
Thus;
log(2x + 3) = logx²
Log will cancel out to give;
2x + 3 = x²
x² - 2x - 3 = 0
Using quadratic formula, we have;
x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)
x = (2 ± √16)/2
x = (2 + 4)/2 or (2 - 4)/2
x = 6/2 or -2/2
x = 3 or -1
So the rise over run is 5/-4
To start off take 10 degrees/96 cups
If you look at the pattern the degrees go up by 5 and the cups go down by 4
So I believe the answer should be
25 degrees = 84 cups
<span>In statistics, an outlier is an observation point that is distant from other observations.
Given the points
15, 23, 24, 26, 27 and 35
Notice, that the points 15 and 35 are distance from the other points and hence are outliers.
The mean of the observations including the outliers is given by

The mean of the observations without the outliers is given by

Therefore, </span>when <span>the outliers are removed,
the mean remains the same.</span>
Divide the width by 2, as that is your scale.
26 / 2 = 13
The house would be 13 inches long.