Given:
53 gal 1 qt + 12 gal 3 qt + 82 gal 1 qt
To find:
The sum of the given expression.
Solution:
Let us first add gallons:
53 gal + 12 gal + 82 gal = 147 gal
Now, add quarts.
1 qt + 3 qt + 1 qt = 5 qt
We know that,
4 quarts = 1 gallon
So add 1 gallon to 147 gal.
147 gal + 5 qt = 147 gal + 4 qt + 1 qt
= 147 gal + 1 gal + 1 qt
= 148 gal + 1 qt
= 148 gal 1 qt
Therefore, 53 gal 1 qt + 12 gal 3 qt + 82 gal 1 qt = 148 gal 1 qt
Figure A maps to figure B with a scale factor of 2/3 -> Every single side of figure B equal to 2/3 of its corresponding side on triangle A.
So, we can find x by taking 10.5 x 2/3 = 7
-> x = 7
Answer:
the answer is 1/2
Step-by-step explanation:
Answer:
Negative correlation.
Step-by-step explanation:
Negative correlation means that as x increases, y decreases
Positive correlation means that as x increases, y also increases.
No correlation means that neither of the two above cases happens.
In the graph, we can see that on the right (when x is negative) the general y values are larger.
As x increases, the y-values decrease.
(Particularly, we could adjust these data with a linear equation with a negative slope)
Then this is a negative correlation.
When D is the center of dilation, and k is the dilation factor, the image point is
... B' = k(B -D) +D
Filling in the given values, we have
... B' = 32((4, -4) -(5, -6)) +(5, -6)
... = 32(-1, 2) +(5, -6)
... = (-32, 64) +(5, -6)
... B' = (-27, 58)
