Answer:
24
Step-by-step explanation:
Cost of membership + game = 2.50x + 54
Cost of just games = 4.75x
The catch is, how do we make up the 54 dollars?
So equate the 2 costs
4.75x = 2.50x + 54 Subtract 2.50
4.75x - 2.50x = 54 Combine
2.25x = 54 Divide by 2.25
x = 54/2.25
x = 24
That means that 24 is the break even point.
Answer:
(A) 
Step-by-step explanation:
To Simplify: The quantity 3 times x to the 4th power plus 5 times x to the 2nd power plus 2 times x all over x.
Solution: The given statement can be easily rewritten as:
,
and
Thus, according to the statement, the expression can be written as:
⇒
which is the required simplified expression.
Thus,option A is correct.
11. is 25°
(Both triangles have two congruent angles which means the 3rd angle is bound to be the same. Just add the 90° and the 65° to get 155 and subtract from 180° because all triangles equal 180°)
12. is 25°
(Same as before, two of the angles are congruent so the third one is the same. Add all of the angles together and have them equal 180° because their is a variable present. 2x+60+70=180 or 2x+130=180. subtract 130 from both sides to get the equation 2x=50 and then divide both sides by 2 to get x=25.)
13. y=14 and x=11.6 (assuming m<d says 15x ÷ 2 because I couldn't really read it)
(m<a = m<d and m<b = m<e because they are lined up together in the ABC and DEF equation. so 3y=42 and (15x÷2=87)
It depends on what variable you are tying to solve for first. Say you are trying to solve for x first and then y on the first problem you wrote.
In substitution you solve one of the equations for example with
6x+2y=-10
2x+2y=-10
you solve 2x+2y=-10 for x
2x+2y=-10
-2y = -2y (what you do to one side of the = you do to the other)
2x=-10-2y (to get the variable by its self you divide the # and the variable)
/2=/2 (-10/2=-5 and -2y/2= -y or -1y, they are the same either way)
x=-5-y
now you put that in your original equation that you didn't solve for:
6(-5-y)+2y=-10 solve for that
-30-6y+2y=-10 combine like terms
-30-4y=-10 get the y alone and to do this you first get the -30 away from it
+30=+30
-4y=20 divide the -4 from each side
/-4=/-4 (20/-4=-5)
y=-5
now the equation you previously solved for x can be solved for y.
x=-5-y
x=-5-(-5) a minus parenthesis negative -(- gives you a positive
-5+5=0
x=0
and now we have solved the problem. x=0 and y=-5
