![\tt \: 4(x + 6) \leqslant - 56](https://tex.z-dn.net/?f=%20%5Ctt%20%5C%3A%204%28x%20%2B%206%29%20%5Cleqslant%20%20-%2056)
Divide both sides of the inequality by 4
![\sf \: x + 6 \leqslant - 14](https://tex.z-dn.net/?f=%20%5Csf%20%5C%3A%20x%20%2B%206%20%5Cleqslant%20%20-%2014)
Move the constant to the right-hand side and change its sign
![\bf \: x \leqslant - 14 - 6](https://tex.z-dn.net/?f=%20%20%5Cbf%20%5C%3A%20x%20%5Cleqslant%20%20-%2014%20-%206)
Calculate the difference
![\rm \: x \leqslant - 20](https://tex.z-dn.net/?f=%20%5Crm%20%5C%3A%20x%20%5Cleqslant%20%20-%2020)
And we are done solving!!~
Answer:
E. 35°, 70°
Step-by-step explanation:
Sum of angles add up to 180° in every triangle.
Step 1: Set up equation
a + 2a + 75 = 180
Step 2: Combine like terms
3a + 75 = 180
Step 3: Subtract 75 on both sides
3a = 105
Step 4: Divide both sides by 3
a = 35
So 1 angle is 35°
Step 5: Plug in <em>a</em> to find last angle
2(35) = 70°
Answer:
1. The ratio in the table above is a 2.5 : 1 ratio.
2. The second row represents that if you use 15 cups of flour you need 6 tablespoons of flour. (I’m not 100% sure this one is right)
3. 10 cups of flour and 4 tablespoons vanilla
Step-by-step explanation:
3. If you divide your number of flour by 2.5 you get the amount of vanilla you must use
Answer: 4x² + 5x + 3
<u>Step-by-step explanation:</u>
![\dfrac{4x^3+5x^2+3x}{x}\\\\\\=\dfrac{x(4x^2+5x+3)}{x}\qquad \text{factored out the common term from the numerator}\\\\\\=4x^2+5x+3\qquad \text{canceled out x from numerator and denominator}](https://tex.z-dn.net/?f=%5Cdfrac%7B4x%5E3%2B5x%5E2%2B3x%7D%7Bx%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7Bx%284x%5E2%2B5x%2B3%29%7D%7Bx%7D%5Cqquad%20%5Ctext%7Bfactored%20out%20the%20common%20term%20from%20the%20numerator%7D%5C%5C%5C%5C%5C%5C%3D4x%5E2%2B5x%2B3%5Cqquad%20%5Ctext%7Bcanceled%20out%20x%20from%20numerator%20and%20denominator%7D)