If Sandra mixes <em>x</em> L of 65% solution with <em>y</em> L of 90% solution, then the resulting mixture has a total volume of
<em>x</em> + <em>y</em> = 500
litres, and it contains
0.65<em>x</em> + 0.90<em>y</em> = 0.75 (500) = 375
litres of alcohol.
Solve the first equation for <em>y</em> :
<em>y</em> = 500 - <em>x</em>
<em />
Substitute this into the second equation and solve for <em>x</em> :
0.65<em>x</em> + 0.90 (500 - <em>x</em>) = 375
0.65<em>x</em> + 450 - 0.90<em>x</em> = 375
75 = 0.25<em>x</em>
<em>x</em> = 300
Solve for <em>y</em> :
<em>y</em> = 500 - 300
<em>y</em> = 200
So, Sandra should mix 300 L of 65% solution with 200 L of 90% solution.
Answer:
1- Positive correlation
2- Negative correlation
3- No correlation
Step-by-step explanation:
1- The more a player practices free throws, the better they will be at it and therefore will make more free throws. Thus, there is a positive correlation between the time spent practicing and the number of free throws made.
2- Since each item bought has a cost, the more items are bought, lower will be the checking account balance. Thus, there is a negative correlation the number of items bought and the checking account balance.
3- There is no explicit correlation between players heights and their ability to hit a baseball therefore it is fair to assume that there is no correlation between the height of baseball player and the number of hits made
<span>3x – 15y = 60
y-intercept x = 0</span>
3(0)– 15y = 60
-15y = 60
y = -4
x-intercept y = 0
3x– 15(0) = 60
3x = 60
x =20
answer :
<span>C. x-intercept: 20; y-intercept: –4</span>
Answer:
Option 2. h = E/mg.
Step-by-step explanation:
E= mgh
mgh = E
Divide both sides by mg:
mgh / mg = E / mg
h = E/mg.
50 might be the answer because 12÷6=2 so I just multiplied 15×2 and that equaled my answer, 50
