Answer:
Step-by-step explanation:
For mixture problems, it is convenient to define a variable to represent the amount of the greatest contributor. Let x represent the amount of 22% solution in the mix. Then 4.8-x is the amount of 10% solution.
The amount of alcohol in the mix is ...
0.22x +0.10(4.8-x) = 0.12(4.8)
Eliminating parentheses, we have ...
0.22x -0.10x +0.10(4.8) = 0.12(4.8)
Subtracting (0.10)(4.8) and combining x-terms gives ...
0.12x = 0.02(4.8)
x = (0.02/0.12)(4.8) = 0.8 . . . . . divide by the x-coefficient
The scientist needs 0.8 L of 22% solution and 4.0 L of 10% solution.
Answer:
<h2>
<u>-1 + √3 or -(1 - 2√3)</u></h2>
Step-by-step explanation:
(1 + √3) (2 - √3) = 2 - √3 + 2√3 - 3 = 2 - 3 - √3 + 2√3 = <u>-1 + √3 or -(1 - 2√3)</u>
Complete question:
Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. Which equation explains the relationship between segment AB and segment A double prime B double prime?
A) segment a double prime b double prime = segment ab over 2
B) segment ab = segment a double prime b double prime over 2
C) segment ab over segment a double prime b double prime = one half
D) segment a double prime b double prime over segment ab = 2
Answer:
A) segment a double prime b double prime = segment ab over 2.
It can be rewritten as:
Step-by-step explanation:
Here, we are given triangle A″B″C which was formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin.
We know segment A"B" equals segment AB multiplied by the scale factor.
A"B" = AB * s.f.
Since we are given a scale factor of ½
Therefore,
The equation that explains the relationship between segment AB and segment A"B" is
Option A is correct
Answer:
The difference in slopes of
is = 3
We can say slope of
is positive and 3 more than slope of
while slope of
is negative.
Difference of y-intercepts of
is = -7
We can say the y-intercept of
is positive and 7 units above
while y-intercept of
is negative.
Step-by-step explanation:
Given equation:


We need to find the difference of slopes and y-intercepts of the given equations.
The standard form of a slope intercept equation of line is given by:

where
represents slope and
represents y-intercept of line.
Writing the given equations in standard form to find slope and y-intercept.

Slope = 2 and y-intercept =-2

Slope = -1 and y-intercept =5
The difference in slopes of
is = 
We can say slope of
is positive and 3 more than slope of
while slope of
is negative.
Difference of y-intercepts of
is = 
We can say the y-intercept of
is positive and 7 units above
while y-intercept of
is negative.
Answer:
xd
Step-by-step explanation:
xd
se pone primero la x y despues la d, se dice gracias crick