For this case we have the following variables:
x: number of months
f (x): number of caps sold
The function that models the problem is given by:

By the time the store sells 64 caps we have:

From here, we clear the number of months:

Answer:
the store sells 64 caps in 3 monts
A. month 3
Answer: here is your steps Simplifying
8x + -37 = 5x + 17
Reorder the terms:
-37 + 8x = 5x + 17
Reorder the terms:
-37 + 8x = 17 + 5x
Solving
-37 + 8x = 17 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
-37 + 8x + -5x = 17 + 5x + -5x
Combine like terms: 8x + -5x = 3x
-37 + 3x = 17 + 5x + -5x
Combine like terms: 5x + -5x = 0
-37 + 3x = 17 + 0
-37 + 3x = 17
Add '37' to each side of the equation.
-37 + 37 + 3x = 17 + 37
Combine like terms: -37 + 37 = 0
0 + 3x = 17 + 37
3x = 17 + 37
Combine like terms: 17 + 37 = 54
3x = 54
Divide each side by '3'.
x = 18
Simplifying
x = 18
Step-by-step explanation:
Answer:
The length of one leg of the triangle is 22 units
Step-by-step explanation:
The complete question in the attached figure
Let
x ----> the length of one leg of the triangle
we know that
In the right isosceles triangle of the figure
The cosine of angle of 45 degrees is equal to the adjacent side to angle of 45 degrees divided by the hypotenuse
---> equation A
----> equation B
equate equation A and equation B and solve for x


therefore
The length of one leg of the triangle is 22 units
Answer:

Step-by-step explanation:
Given both numbers are greater than 6
Their HCF is 6
Their LCM is 60
The product of the HCF and LCM of two numbers is the same as the product of the numbers themselves.
Let us say those number are
and 

So, the product of those number is 
Let us factorize 

It is given that number should be greater than 6
The possible pairs of number are 
But only
has LCM as 60.
So those numbers are 
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Slope Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
Point (-5, 8)
Point (-11, 8)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute in points [SF]:

- [Fraction] Subtract/Add:

- [Fraction] Divide/Simplify:
