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:
Perimeter = 17a
Area = 30 square meters
Step-by-step explanation:
Perimeter = 2b + 8 = 10b + 5 + a = 15ab + 2a - b = 17a
Area = 2 + 8 = 10 + 2 = 12 × 5 = 60 simplify
I honestly don't know if this is correct, I hope it is
Intersecting lines are lines that meet at some point while perpendicular lines are intersecting lines that makes a right angle at the point of intersection.
Two line can either be intersecting or perpendicular. It is not possible to have two line that is neither intersecting or parallel.
Answer:
z = 36 rolls , probability for getting 7 = 1/6
Step-by-step explanation:
A die has 6 possible outcomes, which sums to 36 for two dice for every value on both dice.
The outcomes for rolling both dice for 36 times gives 6 possible outcomes summing to 7, that is, (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1).
There the probability of getting a sum dice of 7 is:
= 6 / 36 = 1/6
Answer:
4.0075017*10^7
Step-by-step explanation:
move the decimal place left 7
