For the first, simply plug in the value of x given (x = 2) into the equation: 
So, 8 would be your answer.
For the second, the sum of x and 2 would be expressed as x + 2. Twice this sum would be written as 2(x+2). Finally, 8 less than twice that sum would be written as 2(x+2) - 8, which would be your expression.
For the last question, the coefficient refers to the number directly in front of the variable, x. So you need only to check what the x would simplify to in each equation and look for the expression where x has no coefficient (i.e., its coefficient is 1). For Hunter, the coefficient would be 15 (5 × 3x = 15x); for Michael, the coefficient would be 11 (6x + 5x = 11x); for Nate, the coefficient would be 1 (x = 1x); and for Spencer, the coefficient would be 2 (2x = 2x). Thus, Nate's expression has a coefficient of 1 when simplified.
Answer:
8X +8
Step-by-step explanation:
Answer:
n is equal to 26
Step-by-step explanation:
Equation: n+ n + (n+2) +(n+2) = 108
so: 2n + 2(n+2) = 108
2n + 2n + 4 = 108
4n + 4 = 108
4n = 108 - 4
4n = 104
n = 104/4
n = 26
Answer:
8 pounds of peanuts, 6 pounds of raisins and 6 pounds of chocolate chips
Step-by-step explanation:
Let x be the number of pounds of peanuts and y be the number of pounds of raisins and chocolate chips.
Peanuts cost $2 per pound, then x pounds cost $2x.
Raisins cost $2.50 per pound, then y pounds cost $2.50y.
Chocolate chips cost $4 per pound, then y pounds cost $4y.
In total, x+y+y=20 and those 20 pounds cost
2x+2.50y+4y=20·2.75.
Solve the system of two equations:
From the first equation:
Substitute x into the second equation:
Simplify the radical by breaking the radicand up into a product of known factors
Exact Form:
2√10 + 5
Decimal Form:
11.32455532 . . .
Answer: 2√10 + 5
Hope this helps! :)
~Zain
