Answer:
x = -2
General Formulas and Concepts:
<u>Pre-Algebra
</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define
</u>
6 - 9x = 5x - 9x + 16
<u>Step 2: Solve for </u><em><u>x
</u></em>
- Combine like terms: 6 - 9x = -4x + 16
- Add 9x on both sides: 6 = 5x + 16
- Subtract 16 on both sides: -10 = 5x
- Divide 5 on both sides: -2 = x
- Rewrite: x = -2
Answer:
573.6 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship of right triangle sides and angles:
Tan = Opposite/Adjacent
This tells us ...
tan(61°) = (height)/(distance to first point)
or
distance to first point = height/tan(61°)
Likewise, ...
distance to second point = height/tan(32°)
Then the difference of the distances is ...
distance to second point - distance to first point
= height/tan(32°) -height/tan(61°)
600 ft = height × (1/tan(32°) -1/tan(61°))
Dividing by the coefficient of height, we have ...
height = (600 ft)/(1/tan(32°) -1/tan(61°)) ≈ (600 ft)/(1.04603) ≈ 573.6 ft
You put the number on top of 100 then multiply the other fraction
1. 3(x+2)
3(3+2)
9+6
=15
2. 3x+2
3(3)+2
9+2
=11
3. they are not equivalent expressions because one equals 15 and one equals 11.
Okay. So 3/5 in decimal form is 0.6. 7/10 in decimal form is 0.7. When you put them in order from least to greatest, the order would be 0.15, 3/5, 7/10, 0.85. Converting fractions to decimals and looking at the different places and what not could help make solving questions like these much easier.