Answer:
25
Step-by-step explanation:
Answer:
The perimeter is 62ft
Step-by-step explanation:
5 + (6 x 4) + (2 x 8) + 17
5 + 24 + 16 + 17
29 + 33
62
Answer:
Since 10/9 is greater than 1, multiplying by 10/9 makes the value larger
Step-by-step explanation:
Step 1: Solve the fraction
10/9 = 1.1112
Therefore 10/9 > 1
Step 2: Multiple the fraction by itself
10/9 x 10/9 = 100/81
Convert fraction to decimals
100/81 = 1.2345678901.....
1.234567901 > 1.1112
Therefore 10/9 x 10/9 is bigger than 10/9
Answer:
x = 10
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
6(x - 1) = 9(x - 4)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 6x - 6 = 9x - 36
- Subtract 6x on both sides: -6 = 3x - 36
- Isolate <em>x</em> term: 30 = 3x
- Isolate <em>x</em>: 10 = x
- Rewrite: x = 10
<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>: 6(10 - 1) = 9(10 - 4)
- Subtract: 6(9) = 9(6)
Here we see that the 2 expressions are exactly the same.
∴ x = 10 is the solution to the equation.
Answer:
4 movies, $20
Step-by-step explanation:
Given data
Family Video
charges $10 for a monthly membership and
$2.50 per movie
let the number of movies be x
and the charge for x movies be y
y= 10+2.5x----------1
Babe's Movies
charges a $12
membership and $2 per
movie.
let the number of movies be x
and the charge for x movies be y
y= 12+2x----------2
equate 1 and 2
10+2.5x= 12+2x
collect like terms
12-10= 2.5x-2x
2= 0.5x
x= 2/0.5
x= 4 movies
put x= 4 in equation 1 or 2
y= 12+2x----------2
y= 12+2*4
y= 12+8
y= $20