Answer:
x = 748 inches
Step-by-step explanation:
.0254 meters in 1 inch
set up a proportion:
.0254/1 = 19/x
cross-multiply:
.0254x = 19
x = 19/.0254
x = 748.03
Answer:
(-5/8, 13/4)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define systems</u>
2x + 5y = 15
8x + 4y = 8
<u>Step 2: Rewrite systems</u>
8x + 4y = 8
- Subtract 8x on both sides: 4y = 8 - 8x
- Divide 4 on both sides: y = 2 - 2x
<u>Step 3: Redefine systems</u>
2x + 5y = 15
y = 2 - 2x
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2x + 5(2 - 2x) = 15
- Distribute 5: 2x + 10 - 10x = 15
- Combine like terms: -8x + 10 = 15
- Isolate <em>x</em> term: -8x = 5
- Isolate <em>x</em>: x = -5/8
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define original equation: 2x + 5y = 15
- Substitute in <em>x</em>: 2(-5/8) + 5y = 15
- Multiply: -10/8 + 5y = 15
- Simplify: -5/4 + 5y = 15
- Isolate <em>y</em> term: 5y = 65/4
- Isolate <em>y</em>: y = 13/4
<u>Step 6: Graph systems</u>
<em>Check the solution set.</em>
The solution set is equivalent (is in decimal form).
Answer:
11.78
Step-by-step:
78x + 8x + 12x + 20x + 28x
78x + 32x + 28x
= 138x
1626.35/138
= 11.78
Answer: X is equal to 55.
Step-by-step explanation:
You can determine that the triangle is an isosceles triangle because of its side lengths.
Therefore you know that value of the angle it's not asking for is also x. Since a triangle's angles always measures 180. You can say that 180 = 70 + 2x.
You can now solve for x.
180 = 70 + 2x
-70 -70
110 = 2x
----------------
2
55 = x