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.
6(x-2.5) ≥ 8-6(3.5+x)
A number is before a parenthesis. The first step is to multiply.
6(x-2.5) = 6x -15
8-6(3.5+x)
2(3.5+x)= 7+2x
6x-15≥7+2x
Now solve
6x-15≥7+2x
-2x -2x
(-2x+2x)= They cancel out
(6x-2x)= 4x
4x-15≥7
+15 +15
4x≥22
/4 /4
You get= x≥5.5
Step-by-step explanation:
A
The probability of wining is 1/4 so it's 25%. so if you win you either win one of 2 object, so we have to divide the chance of wining by the number of object, so (25%)/2
A it's ,12.5% chance of wining the mug
B yes, it will change if she pics the mug first, it will be 25% because it's guaranteed that she will get the mug if she wins
Answer:
Step-by-step explanation:
WY is the diameter.
WX and XY sum to 180° as half the circle.
<u>Central angle is equal to intercepted arc:</u>
- mXY = m∠XVY = 87°
- mWX = 180° - mXY = 180° - 87° = 93°
Correct choice is C
