If you add the two terms on the right, you will get 5^14. 14 is your answer.
a+b+c=0
[(a+b+c)^2=a^2+b^2+c^2+2ab+2ac+2bc]
[a^2+b^2+c^2+2ab+2ac+2bc=0]
[a^2+b^2+c^2=-(2ab+2ac+2bc)]
[a^2+b^2+c^2=-2(ab+ac+bc)] (i)
also
[a=-b-c]
[a^2=-ab-ac] (ii)
[-c=a+b]
[-bc=ab+b^2] (iii)
adding (ii) and (iii) ,we have
[a^2-bc=b^2-ac] (iv)
devide (i) by (iv)
[(a^2+b^2+c^2)/(a^2-bc)=(-2(ab+bc+ca))/(b^2-ac)]
Answer:
If my math is correct it should be $53.82
Step-by-step explanation:
You Divide 6.3kg by 0.35kg that would give you 18. Then you multiply $2.99 by 18 and that should get you $53.82
Interest is found as the principal times the percentage rate / 100, divided by the proportion of the days. This is, if r is the percentage rate for 1 year, n is the number of days, and p is the amount invested you can calculate the interests as p* (r%/100) * n/365 = $600 * (8/100) * 45/365 = $5.92. So<span> the answer is the option D. 5.92. </span>
Answer:
21
Step-by-step explanation:
Let x = $1 bill
Let y = $5bill
<em>Translating the word problem into an algebraic equation;</em>
<em>For the total number of bills;</em>
.........equation 1
<em>For the total number of tips;</em>
..........equation 2
<em>*Solving the linear equation by using the substitution method*</em>
<em>Making x the subject in equation 1:</em>
.......equation 3
<em>Substituting "x" into equation 2;</em>
<em>Simplifying the equation, we have;</em>
y = 21 (For the $5 bills).
<em>Therefore, Anthony received 21 pieces of the $5 bills.</em>
To find x;
Substituting "y" into equation 3;
x = 26 (For the $1 bill).
