Answer:
Susan spilled 1/6 of a gallon of lemonade.
Step-by-step explanation:
Since Susan was carrying a pitcher that contained 2/3 of a gallon of lemonade to the table for lunch, and she slipped and spilled 1/4 of the lemonade in the pitcher, to determine what fraction of a gallon of lemonade did she spill the following calculation must be performed:
2/3 = 0.6666
0.666666 x 1/4 = X
0.166666 = X
0.166666 = 1/6
Therefore, Susan spilled 1/6 of a gallon of lemonade.
Answer:
$16.5
Step-by-step explanation:
if one pound is 2.75 dollars (unit rate) you multiply 2.75 by six to get the cost of six pounds.
Answer:
a)
b) 
Step-by-step explanation:
We assume that the data is this one:
x: 150 129 142 112 134 122 126 120
y: 88 96 106 80 98 63 95 64
Part a
We want to find a linear model
. Where:
Where:
So we can find the sums like this:
With these we can find the sums:
And the slope would be:
Nowe we can find the means for x and y like this:
And we can find the intercept using this:
So the line would be given by:
Part b
For this case w ejust need to replace x= 113 in the regression model and we got this:

Answer:
cos Θ = 
Step-by-step explanation:
Given the angle passes through (4, 5 ) then the right triangle with sides 4 and 5 has hypotenuse h given by
h² = 4² + 5² = 16 + 25 = 41 ( take the square root of both sides )
h = 
In relation to Θ, 4 is adjacent and 5 is opposite, thus
cos Θ =
= 
Answer:
6
Step-by-step explanation:
2 x -3 = -6
-6 + 12 = -6 + -6 + 6
-6 + 12 = 6