Answer:
Quantity of solution B required is 300 ml
Step-by-step explanation:
Let "a" be quantity of solution A required
Let "b" be quantity of solution B required
We are given Solution A is 19% alcohol and Solution B is 14% alcohol and that the resulting mixture has 156 milliliters of pure alcohol
Thus;
0.19a + 0.14b = 156 - - - (eq 1)
Also, He uses twice as much Solution A as Solution B.
Thus;
a = 2b
Putting 2b for a in eq 1 gives;
0.19(2b) + 0.14b = 156
0.38b + 0.14b = 156
0.52b = 156
b = 156/0.52
b = 300 ml
Quantity of solution B required is 300 ml
Answer:
tan(x-y) = -16/63
Step-by-step explanation
Tan(x-y) if cscx=13/5 and coty=4/3
Given
coty = 4
1/tany = 4/3
Cross multiply
tan y = 3/4
Also since cscx = 13/5
1/sinx = 13/5
sinx = 5/13
Since sinx = opp/hyp
opp = 5
hyp = 13
Get the adjacent
hyp² = opp²+adj²
13² = 5²+adj²
adj² = 13² - 5²
adj² = 169 - 25
adj² = 144
adj = 12
cosx = adj/hyp
cosx = 12/13
tanx = sinx/cosx
tanx = (5/13)/(12/13)
tanx = 5/13 * 13/12
tan x = 5/12
tan(x-y) = tanx - tany/1+tanxtany
tan(x-y) = (5/12 - 3/4)/1+(5/12)(3/4)
tan(x-y) = (5-9/12)/1+5/16
tan(x-y) = -4/12/(21/16)
tan(x-y) = -1/3 * 16/21
tan(x-y) = -16/63
First, think of your places. You have the ones places, tens places, hundreds places, and so on.
The first number starting from the right is the ones, and as you keep going left, the value of each given digit becomes higher.
Since 5 is in the ones place, its value would be just 5. If it were in the tens place, it would be 50. If it were in the hundreds place, it would be 500, and so on.
Think of it this way;
Ones is just one. If a number is in the 'ones' place, its value would be a single digit. If it were in the tens place, its value would be two digits.
That's how it would be for each place going left.
Every number you move to the left, its value gains a one.
So here's an example:
5555
The value of 5 in the ones place "5555" is simply 5.
In the tens place, you end up adding one zero, so the value of the second five to the left would be, "50"
So with that said, the value of the digit 5 in the number 75 is <em>5.
</em>Haha, hope this cleared up any confusion, and have a <em>wonderful </em>day! :)<em>
</em>
Answer and Step-by-step explanation:
7. 70 - 180 = 110
8. 39 - 180 = 141
9. 81 - 180 = 99
10. 81 - 180 = 99
11. 115 - 180 = 65
12. 41+36 = 77 - 180 = 103
x = answer
Answer:
40%
Step-by-step explanation:
because convert the fraction 16/40 and the answer is 40%
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