Answer:
x = 2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
10.5x - 1.9 = 19.1
<u>Step 2: Solve for </u><em><u>x</u></em>
- Add 1.9 to both sides: 10.5x = 21
- Divide 10.5 on both sides: x = 2
<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>: 10.5(2) - 1.9 = 19.1
- Multiply: 21 - 1.9 = 19.1
- Subtract: 19.1 = 19.1
Here we see that 19.1 does indeed equal 19.1.
∴ x = 2 is a solution to the equation.
Answer:
See attachment for triangle
<em></em>
Step-by-step explanation:
Given
Shape: Equilateral triangle
Required
Draw the triangle
First, we determine the side lengths.
The perimeter of an equilateral triangle is:
So, we have:
Solve for Length
<em>See attachment for triangle</em>
Let us consider the ration of two numbers be x
The two numbers are 5x and 3x
Since two numbers differ by 18, we can write the equation
5x – 3x = 18
2x = 18
x= 9
Therefore the two numbers are
5x = 5 x 9 = 45
and
3x = 3 x 9 = 27
∴ The two numbers are 45 and 27.
Answer:
B.) 50.24 ft^2
Step-by-step explanation:
circumference = 2pi*r
radius = 4
Area = pi*r^2
16pi
50.24 ft^2
Answer:
The answer is D. √120
Step-by-step explanation:
Using the pythangorean theorem when solving the missing side of a right triangle, so given a^2 + b^2 = c^2. We have side c, and a so we must rearanged this to fit side b.
So: a^2 + b^2 = c^2 → b^2 = c^2 - a^2 →
b = √(c^2 - a^2).
Given side c or the hypotenuse is 17, and a is 13. side b must have a length of:
√(17^2-13^2) = √(289 - 169) = √120