Answer:
70
Step-by-step explanation:
5/(x^2-4)+2/x=2/(x-2) if we factor the leading denominator, it is a "difference of squares" of the form (a^2-b^2) which always factors to (a-b)(a+b) so we have:
5/((x-2)(x+2))+2/x=2/(x-2), to add/subtract fractions we need a common denominator, so in this case we need a common denominator of x(x-2)(x+2) so
5(x)+2(x+2)(x-2)=2(x)(x+2), perform indicated operations...
5x+2(x^2-4)=2x(x+2)
5x+2x^2-8=2x^2+4x subtract 2x from both sides
5x-8=4x subtract 4x from both sides
x-8=0 add 8 to both sides
x=8
check...
5/(x^2-4)+2/x=2/(x-2) when x=8 so
5/(64-4)+2/8=2/(8-2)
5/60+1/4=2/6
5/60+15/60=20/60
20/60=20/60
Answer:
Your system of equation:
n + d = 24
5n + 10d = 185
Step-by-step explanation:
Let:
nickels = $0.05; amount of dimes = n
dimes = $0.10; amount of dimes = d
There are 24 coins in all:
n + d = 24
Note the amount each coin is worth. The total value is $1.85
0.05n + 0.10d = 1.85
Move the decimal point to the right for each term.
0.05n = 5n
0.10d = 10d
1.85 = 185
5n + 10d = 185 is your new equation.
Your system of equation:
n + d = 24
5n + 10d = 185
~
Answer:
below
Step-by-step explanation:
that is the procedure above
fraction of arc RS
ANGLE RcS = 60 °
60°/360°
=1/6
therefore the total fraction is 1/6
Answer:
1. 125
2. 25
3. 40
4. 39
First question:
(15-10)^2 + (15-5)^2
parentheses first to get 5^2 + (15-5)^2
exponents next to get 25 + (15-5)^2
parentheses again 25 + 10^2
exponents again 25 + 100 = 125
Second question:
simplify the exponents (3 *3) + (4 * 4) + (2 * 2) to get 9 + 16 + 4 = 29
Third question:
simplify in the parentheses 6 1/7 - 1/7 = 6
divide 60 by 6 to get 10
multiply 10 by 4 to get 40!
Fourth question:
simplify the fractions to get 1/3 + 8/3 = 3
multiply the 3 by 13 to get 39
