Answer:
11/13
Step-by-step explanation:
4 out of the 26 marbles are blue, meaning that the rest of the 22 marbles are not blue. (26-4=22)
This means that out of the total 26, the chance of not picking a blue marble are 22/26=11/13
Let x = liters 20% solution to be added
then
.12(12) + .20x = .14(12+x)
.12(12) + .20x = .14(12+x)
1.44 + .20x = 1.68 + .14x
.20x = .24 + .14x
.06x = .24
x = 4 liters
Hope this helped!!
Answer: 912
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Work Shown:
The starting term is a1 = 3. The common difference is d = 5 (since we add 5 to each term to get the next term). The nth term formula is
an = a1+d(n-1)
an = 3+5(n-1)
an = 3+5n-5
an = 5n-2
Plug n = 19 into the formula to find the 19th term
an = 5n-2
a19 = 5*19-2
a19 = 95-2
a19 = 93
Add the first and nineteenth terms (a1 = 3 and a19 = 93) to get a1+a19 = 3+93 = 96
Multiply this by n/2 = 19/2 = 9.5 to get the final answer
96*9.5 = 912
I used the formula
Sn = (n/2)*(a1 + an)
where you add the first term (a1) to the nth term (an), then multiply by n/2
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As a check, here are the 19 terms listed out and added up. We get 912 like expected.
3+8+13+18 +23+28+33+38 +43+48+53+58 +63+68+73+78 +83+88+93 = 912
There are 19 values being added up in that equation above. I used spaces to help group the values (groups of four; except the last group which is 3 values) so it's a bit more readable.
here is what I think since 2 multiplied by 15 equals 30 you at 35 more to that 30 and you get the answer 60. Is that how it is supposed to go?
Factors of 4: 2 and 2
y= (x+2)²
+√y or -√y = x+2
x= 2+√y , 2-√y
interchange variables
y= 2+√x , 2-√x
f ⁻¹(x) = 2 + √x, 2 - √x
