In a 10 gal of an 11% salt solution,
11% of 10 gal are sal.
11% *10 gal=(11/100)*10 gal =0.11*10 gal = 0.1 gal is salt.
Similarly, 0.07*6 gal= 0.42 gal is salt of the 6 gal in the second solution.
The mixture is 10 gal +6 gal = 16 gal, and contains a total of
0.1 gal +0.42 gal = 0.52 gal of salt.
0.52 = x% of 16
0.52=x%*16
x=(0.52/16)*100=0.0325*100=3.25
Answer: there is 0.52 gal of salt in the mixture, that is 3.25%
Applying the triangle proportionality theorem, the missing segment length is: 3.
<h3>What is the Triangle Proportionality Theorem?</h3>
The triangle proportionality theorem states that if a line that is parallel to a third side intersects the other two sides of a triangle, it divides them proportionally.
Let x represent the given segment length. Using the triangle proportionality theorem, we would have:
(12 - 2)/2 = 15/x
10/2 = 15/x
5 = 15/x
5x = 15
x = 15/5
x = 3
The missing segment length is: 3.
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The least number of trees would be six. since it does not give a number of rows, we could just assume that there would be one row... if there is one row, then the least possible number is 6
She will pay $126 for the pots and pans. Hope it help!
Given:
The image of the point (0,7) under a translation is (−2,5).
To find:
The coordinates of the image of the point (5,−2) under the same translation.
Solution:
It is given that, the image of the point (0,7) under a translation is (−2,5). Here, the x-coordinate decreased by 2 and the y-coordinate decreased by 2 so the rule of translation is:
Using this rule of translation, the image of (5,−2) is
Therefore, the coordinates of the image of the point (5,−2) under the same translation are (3,-4).
