Answer:
64 degrees
Step-by-step explanation:
Step 1:
x and y are supplementary angles
Supplementary angles equal to 180
Step 2:
Subtract to find the supplement:
180 - 116
Step 3:
Solve
180 - 116 = 64
The measure of ∠x is 64 degrees.
40 kilometers are represented by 10cm
Answer: 80 sq. ft
Step-by-step explanation:
Company A’s charges can be represented by the equation: 10m + 250
Company B’s charges can be represented by the equation: 12m + 90
To find when the square feet got which they have the same amount, I will set them equal to each other and solve for it.
10m+250=12m+90
-10m -10m
250=2m+90
-90 -90
160=2m divide both side by 2
80=m
For 80 square feet, both companies charge the same amount.
Answer:
n = 1
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
- Subtraction Property of Equality
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
-41 = -2/5(45n + 60) + n
<u>Step 2: Solve for </u><em><u>n</u></em>
- Distribute -2/5: -41 = -18n - 24 + n
- Combine like terms: -41 = -17n - 24
- [Addition Property of Equality] Add 24 on both sides: -17 = -17n
- [Division Property of Equality] Divide -17 on both sides: 1 = n
- Rewrite/Rearrange: n = 1
<u>Step 3: Check</u>
<em>Plug in n into the original equation to verify it's a solution.</em>
- Substitute in <em>n</em>: -41 = -2/5(45(1) + 60) + 1
- (Parenthesis) Multiply: -41 = -2/5(45 + 60) + 1
- (Parenthesis) Add: -41 = -2/5(105) + 1
- Multiply: -41 = -42 + 1
- Add: -41 = -41
Here we see that -41 does indeed equal -41.
∴ n = 1 is the solution to the equation.
R + b = 49
b = 6r
r + 6r = 49
7r = 49
r = 49/7
r = 7 <== he has 7 red beads
b = 6(7)
b = 42 <== he has 42 blue beads