Answer:
-8/15
Step-by-step explanation:
(1/15)-(3/3)*(3/5)= (1/15)-(9/15)=(1-9)/15=-8/15
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:
the student in question bought 3 large notebooks and 3 small notebooks
Step-by-step explanation:
the easiest way to explain how to do this is by recognizing that the student bought $54 worth of notebooks- which is not divisible by 10 easily. that means, we should subtract 8 from 54 until we get a number that IS divisible
54 - 8 = 46 (one small notebook)
46 - 8 = 38 (two small notebooks)
3 8 - 8 = 30 (three small notebooks)
then, divide 30 by 10 to see how many large notebook the student bought.
30/10 = 3
the student in question bought 3 large notebooks and 3 small notebooks
Answer:
x = 117km
Step-by-step explanation:
a1 = 18 km
q = 90% = 90/100 = 0.9
a2 = a1 • q = 18 • 0.9 = 81/5 = 16.2 km
a3 = a2 • q = 16.2 • 0.9 = 729/50 = 14.58 km
n = 10
x = a1 • q^n - 1/q - 1 = 18 • 0.9^10 - 1/0.9 - 1 = 117km
Answer:
3 years
Step-by-step explanation:
By simple interest formula:
