Answer:
x = 2
Step-by-step explanation:
In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we divided by 2 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.
→ Expand the brackets
→ Multiply everything by 12 to make solving the equation easier
6x - 6 - 2x - 2 = 0
→ Simplify equation
4x - 8 = 0
→ Add 8 to both sides to isolate 4x
4x = 8
→ Divide by 4 on both sides to isolate x
x = 2
⇒ We can substitute x = 2 back into the equation to see if the solution is correct, if we get 0 on both sides then x = 2 is correct
⇒ Substitute in the values
⇒ Simplify
⇒ Simplify further
0 = 0
The solution x = 2 is correct
√45 + √125
= 3√5 + 5√5
= 8√5
Answer is C.
Hope it helps!
On problems ii, and iii, you just count up the amount of sides on the polygon and add x behind it to create a type of an equation to find the perimeter of that shape that will work as longs as the sides are congruent to each other.
For problems a,b, and c, you just have to calculate what x is. On a, you find what the other side is if one side is 2 and the area is 24. On b you find what the other side could equal if one side is 4 and the area is 16. On c you know what the perimeter is (72) . The longer sides are 2x and the shorter sides are x. SO you divide by the #s and check your work!
Answer: she played 5 games and went on 8 rides
Step-by-step explanation:
Let x represent the number of games that Sydney played.
Let y represent the number of rides that Sydney went on.
Each game cost $1.25 and each ride cost $2.25. If Sydney spent $24.25 altogether at the carnival, then the expression is
1.25x + 2.25y = 24.25- - - - - - - - - - -1
If the number of rides that she went on is 3 more than the number of games that she played, the expression would be
y = x + 3
Substituting y = x + 3 into equation 1, it becomes
1.25x + 2.25(x + 3) = 24.25
1.25x + 2.25x + 6.75 = 24.25
3.5x = 24.25 - 6.75
3.5x = 17.5
x = 17.5/3.5
x = 5
y = x + 3 = 5 + 3
y = 8
The answer would be 3x+5 +10x-7 =180
