Juliet,  For this problem, we are trying to determine the ratio of red pens to blue pens.  Therefore we are trying to determine the proportion of red pens to blue pens.. A proportion is an equation which states that two ratios are equal. Lets identify our proportion We...

The pattern that I see with this number sequence is alternating subtraction and multiplication.  You perform the operations in alternating order.  When you perform subtraction you increase the subtrahend by 1. When you perform multiplication you increase the multiplier by 1.    ...

The equation of a line is given by the formula y= mx+b. This is known as the slope-intercept form of a linear equation. It is called a linear equation because when you graph this equation all of the points make a straight line. In this equation m = slope. The slope = rise over run...

To solve this problem, we should identify the information that we know. We know: We sold children tickets. We will let the variable C= children's tickets. We sold adult tickets. We will let the variable A = adult tickets We know we sold 30 tickets Therefore we...

Let's set up an equation for this  problem. If one person can rake leaves in 6 hours, that means they can do 1/6 of the  job in 1 hour. If one person can rake leaves in 7 hours, that means they can do 1/7 of the  job in 1 hour. We want to determine the time it would...

To understand this concept, let’s review the rules of exponents for multipling and dividng exponents. The rules of exponents states that xm/xn = xm-n x0 power is the  smallest power for any number. Let's  use the powers of 7 as an expample. 75/7 =  75-1= 74      =16807/7=2401 74/7=...

To solve this equation let's start with a few basic concepts. A triangle has 3 sides. The perimeter of a triangle equals to the sum of the  length of the 3 sides. We will call those 3 sides A,B,C A = shortest side,   B= middle side,  C= longest...

To answer this question we need to know a few key concepts. A rectangle has 4 sides. The perimeter of a rectangle is equal to : 2L (the length of 2 sides) + 2W (the width of 2 sides) Therefore the formula for the perimeter of a rectange is : P = 2L + 2W We...

There are several methods to solve systems of equations. You can solve using substitution, elimination or matrices. It depends on the nature of the equation as to which method is more efficient. With this equation, it is most efficient to use the elimination method in the initial step. With...

Cwaz, To solve this linear equation, we want to state it in the slope-intercept form which is y=mx+b m= slope,   b=y intercept Since we already know the slope and we have  a pair of coordinates, you can utilize the point-slope form of the equation to solve...

This is a system of linear equations that can be solved by elimination and substitution: First we will use elimination to solve for x 3x + y = -2 x- y= 6 Add the 2 equations and the result is: 3x + y = -2 x- y= 6 4x = 4 Divide both sides by 4 (Inverse operation) 4x/4 = 4/4 x= 1 Substitute...

Courtney , to solve these you would substitute the formula for each. Concepts to remember. • The Circumference is the area around the outside of the circle. • The Radius is a straight line from the center of the circle and the endpoint lies on the circle. • The Diameter is a straight...