Looking at the equation, x+y=8, I can subtract either x or y from both sides to get the following two equations: x = 8 - y, or y = 8 - x. So I now have an expression which I can substitute for either x or y. Now, looking at the equation,...
Looking at the equation, x+y=8, I can subtract either x or y from both sides to get the following two equations: x = 8 - y, or y = 8 - x. So I now have an expression which I can substitute for either x or y. Now, looking at the equation,...
Changing the subject of a formula on the mathisfun.com page refers to rearranging an equation to solve for a different variable. This can only be done using valid algebraic operations, always remembering that both sides of the equation have to be changed in equivalent ways so that the equal...
When you have a system of equations, there are three main methods for solving it: Elimination, substitution, and graphing. The choice of which method to use is based on the equations. If you can easily multiply one of the equations by a factor you choose and then subtract the resulting...
The goal of this question is to use algebraic methods to solve the equation A = (B x C) / (B + D) for an expression involving A and D only. A = (B x C) / (B + D) ...
16x - 32 > 4 (3x - 12) Let's first remove the parentheses. There are two possible methods, either multiply the parentheses by 4, or divide both sides of the equation by 4: ...
Actually, I think Victoria's answer is incorrect. Her method is correct, but her solution doesn't work: Given that the perimeter is twice the length plus twice the width, and the length is 30 inches longer than the width, we can indeed make an equation as follows: 2L + 2W = 208 and...
I am assuming that the container is a cylinder with a diameter of 8m and a height of 15m. The surface area would mean the top, the sides, and the bottom. The top and bottom would both be circles of diameter 8m, and the sides would be a rectangle of height 15m and width the circumference...
The problem posed is 5-3*54. Now, 54 is 5*5*5*5. What, however, is 5-3?0 Now, 53 is 5*5*5 and 52 is 5*5. Extending this, 51 is 5 and 50 is 5/5 which is 1 So 5-1 would be 1/5, 5-2 would be 1/(5*5), and 5-3 would be 1/(5*5*5). So, 5-3*54 is (5*5*5*5)/(5*5*5) = 5....
To add some other differences to Dannie's answer: You affect something by changing it - the wonderful weather affected my mood! You effect a change in something - he was strong enough to effect a change in the pressure of the car on my foot. Something has an effect on you - The effect...
This is a somewhat surprising question, because it seems a little strange that the printed matter should cover 0 square centimeters. However, given the information in the question, this would mean that the entire page must be margins. Looking at the width of the page, which is 10 centimeters,...
Hi Taylor, The important thing to do is group the 'x's on one side of the equal sign, and the numbers without 'x's on the other side. However, before you can do that you need to get the 4x inside the parentheses out of parentheses. So, first, use the distributive property of multiplication...
While Robert's answers are correct, he didn't find them by using the quadratic formula. The formula is very difficult to write in this wordprocessor, but it goes like this: t = ( - b plus or minus the square root of ( b2 - 4ac ) ) all over 2a where ...
While Robert's answer is correct, it will only work for multiplying by numbers that end in 9. A more general answer is: One can look at this as (50 + 9) * (50 + 3) So one has to multiply 50 * 50, 50 * 3, 9 * 50, and 9 * 3, and then add them all together. So 2500 + 150...
If you are using a computer to post this question, both Windows and Mac have calculators built into the computer's software. In Windows, it is in the Accesories group in the Start menu. In Apple, a simple search for calculator should help you find it. Barring that, you can use...
This question is talking about multiplying, for example, 123 x 3. The most important step is to remember to multiply all three digits by the one digit. So 3 x 3 = 9, 20 x 3 = 60, and 100 x 3 = 300, so 123...
If I assume that I can use x to mean "all real numbers that are less than -3 or greater than or equal to 5", Then I can write this as follows: x<-3 and x>=5 This includes all whole numbers (or integers), all fractions (or rational numbers), and all...
Solve for a means to rewrite the equation so that it starts a=. Since this equation starts 9a=, we need to remove the 9. What is the 9 doing to the a? 9a means 9 multiplied by a, so the 9 is multiplying the a. To remove the 9, we have to do the opposite of what it is doing to the...
This is not an answer to the question, but rather we need some more information. These look like coordinates on a graph - is this homework related to graphs? Maybe having to do with finding the slope, or finding the distance between two points. It might also be a question about ratios...
I am not completely sure of the notation required by your teacher, but here is some explanation of what is meant by this question. Use A to mean 'Abe comes to the party'. Use B to mean 'Bill comes to the party'. Use C to mean 'Carol comes to the party'. Now we can translate the statements...
To add a little explanation to the previous answer, the fraction bar between the 'm' and the 'hr' acts as a set of parentheses, so when you see m/hr, you are can read it as (m/hr). And when you have a number outside a set of parentheses, it is understood to multiply the whole contents of...