The smaller number is 7 and the greater number is 11.
Step-by-step explanation:
Let,
x be the smaller number
y be the greater number
According to given statement;
x+y=18 Eqn 1
y+2x=25 Eqn 2
Subtracting Eqn 1 from Eqn 2

Putting x=7 in Eqn 1

The smaller number is 7 and the greater number is 11.
Keywords: numbers, linear equation
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Answer:
D. Every term in Pattern B is 1/4 the corresponding term in Pattern A.
Step-by-step explanation:
Given


Required
The true statement
Option D is true, and the proof is as follows.
The interpretation of D is:

When 

When 

When 

When 

When

Compare the calculated values with the given values of B, we have:
--- Calculated
--- Given
Hence, (d) is correct
We've got the first number, so now we need the others.
There is 1 possibilty for the first digit, 10 for the middle ones, and 2 for the last one.
1*10*10*2=200
200 possible codes for this briefcase
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Reading a Cartesian Plane
<u>Algebra II</u>
- Distance Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from graph.</em>
Point A(-2, 1)
Point B(1, -1)
<u>Step 2: Find distance </u><em><u>d</u></em>
Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>
- Substitute in points [Distance Formula]:

- [Distance] [√Radical] (Parenthesis) Add/Subtract:

- [Distance] [√Radical] Evaluate exponents:

- [Distance] [√Radical] Add:

- [Distance] [√Radical] Evaluate:

- [Distance] Round:
