Answer:
x = 29/6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
8x - (2x - 13) = 42
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Distributive Property] Distribute negative: 8x - 2x + 13 = 42
- [Subtraction] Combine like terms: 6x + 13 = 42
- [Subtraction Property of Equality] Subtract 13 on both sides: 6x = 29
- [Division Property of Equality] Divide 6 on both sides: x = 29/6
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 8(29/6) - [2(29/6) - 13] = 42
- Multiply: 116/3 - [29/3 - 13] = 42
- [Brackets] Subtract: 116/3 - -10/3 = 42
- Subtract: 42 = 42
Here we see 42 does indeed equal 42.
∴ x = 29/6 is the solution.
1. 2x+8=3x+10
Step 1: Subtract 3x from both sides.
2x+8(-3x)= 3x+10 <span>(-3x)
</span>-x+8=10
Step 2: Subtract 8 from both sides.
-x+8 (-8) = 10 <span>(-8)
</span>-x=2
Step 3: Divide both sides by -1.
-x/(-1)=2/(-1)
x=-2
Answer= x=-2
2. -3x+9=2x-1
Step 1: Subtract 2x from each side.
-3x (-2x) +9= 2x-1 <span>(-2x)
</span>-5x+9=-1
Step 2: Subtract 9 from both sides.
-5x+9 (-9)=-1 (-9)
-5x=-10
Step 3: Divide -5 from both sides.
-5x/-5= -10/-5
x=2
The answer is 2.
3. 4x-7=5x-6
Step 1: Subtract 5x from both sides.
4x-7 (-5x)= 5x-6 (-5x)
-x-7=-6
Step 2: Add 7 to both sides.
-x-7 (+7)= -6 (+7)
-x=1
Step 3: Divide each side by -1.
-x/-1=1/-1
x=-1
The answer is -1.
Answer:
The answer is yeahhhhhh lol
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Given:
- Daily pass = $77
- Season ski pass = $450
- Skis = 20
77 + 20 = 97
450 + 20 = 470
Keep multiplying 97 with random numbers until it passes 470.
97 × 4 = 388
97 × 5 = 485
So, the skier will have to pay daily passes 5 times to be more expensive than the season pass.
Hope this helped.
You start off with 4*(cos(x+(pi/3)))
Let's place the 4 aside for the time being:
Cos(u+j) = cos(u)*cos(j) - sin(u)*sin(j)
cos(x+(pi/3)) = cos(x)*cos(pi/3) - sin(x)*sin(pi/3)
cos(x+(pi/3)) = cos(x)/2 - (sqrt(3)/2)*sin(x)
Multiplying by the 4 we put aside:
4*cos(x+(pi/3)) = 2*cos(x) - 2*sqrt(3)*sin(x)
The correct answer is B
