Answer:
x = 35
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Geometry</u>
- Definition of a Line: A line is 180°
Step-by-step explanation:
<u>Step 1: Set up equation</u>
40° + (2x + 30)° + 40° = 180°
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 2x + 110 = 180
- Subtract 110 on both sides: 2x = 70
- Divide 2 on both sides: x = 35
Answer:
B.) 10 cm squared
Step-by-step explanation:
To start, the question is asking for surface area of a cylinder, meaning you will have to use this formula to find it: A=2πrh+2πr^2.
Since you already know that the diameter of the plastic cylinder is 4 marbles long, and each marble is 2 cm in diameter, you would multiply 4 and 2 to get that your diameter is 8 cm. However, since the surface area of a cylinder formula uses radius, you would simply divide 8 by 2 to get that the radius of the cylinder is 4 cm.
Now, since you already know that the height of the cylinder is equal to 10 marbles, multiply the amount of marbles by 2 to get that the height of the cylinder is 20 cm.
Now that you know the height and the diameter of the cylinder, plug the values into the formula: A=2π(4)(20)+2π(4)^2.
Assuming that pi is 3.14, simplify the equation as according to PEMDAS and you get that the area of plastic needed to make one cylinder is 602.88 cm squared
We can write an equation of this, with p representing the unknown population. We know that 90% of the population owns cars:
90% * p
We also know that 4761 people own cars, which is the same as the above expression, so we write:
90% * p = 4761.
From there, you just divide both sides by 90%, or 0.9
p = 4761/0.9 = 5290
The population is 5290 people.
Answer:
.
Step-by-step explanation:
The given equation is
Using distributive property, we get
Isolate variable terms.
Divide both sides by -0.35.
Therefore, .
