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Algebra

The use of letters to substitute unknown numbers to form an equation. Solve the equation to get the unknown number using different methods such as simultaneous equations and more.

227,579 Questions

What are the pros and cons of using the substitution or elimination method in equations?

A pro for solving equations through graphing can allow one to visualize problems which can allow one to make better sense to the problem. However, fractions, and decimals can be very difficult to plot accurately. Furthermore, solutions could fall outside of the boundaries of a graph making them impossible to see with a graph.

A pro for solving equations through either the methods of substitution and elimination allow one to achieve an exact answer regardless of fraction, decimal, or integer. However, by using these methods one will have a more difficult time with visualization without the use of a graph.

What is 3n times 3n?

The expression 3n times 3n can be simplified by multiplying the coefficients (3 * 3) and adding the exponents (n + n). This results in 9n^2, where n is raised to the power of 2. This simplification follows the rules of exponentiation, specifically the rule that states when multiplying two terms with the same base, you add the exponents.

What is the circumference of a 60 inch table?

Well honey, if the diameter of that table is 60 inches, then the circumference would be about 188.5 inches. Just take that diameter, multiply it by pi (which is approximately 3.14159), and you've got your answer. Now go impress your friends with your newfound knowledge, you sassy thing!

How much fence do you need for perimeter fence 8 acres?

To determine the amount of fence needed for a perimeter fence around 8 acres, we first need to convert the area from acres to square feet. Since 1 acre is equivalent to 43,560 square feet, 8 acres would be 8 x 43,560 = 348,480 square feet. The perimeter of a rectangular area can be calculated by using the formula P = 2(l + w), where P is the perimeter, l is the length, and w is the width. If we assume the area is a square (which maximizes the perimeter for a given area), we can find the length of one side by taking the square root of the total area, which gives us approximately 590.61 feet. Therefore, the total amount of fence needed for the perimeter would be 4 x 590.61 = 2,362.44 feet.

What is the expanded form for 16.25?

16.25 = (1 x 10) + (6 x 1) . (2/10) + (5/100)

How many lines of symmetry do the Olympic rings have?

The Olympic rings have 2 lines of symmetry. A line of symmetry is a line that divides a shape into two equal halves that are mirror images of each other. In the case of the Olympic rings, there are two lines of symmetry that run horizontally and vertically through the center of the rings, dividing them into equal halves.

What is the solution for Dan found a two digit odd numberOne of its digits was half the other The number was greater than 50What number did Dan find?

Let's denote the two digits as x and 2x, where x is the smaller digit. Since the number is odd, 2x must be an odd number, so x must be an even number. The only even number less than 5 that satisfies this condition is 2. Therefore, the number Dan found is 52.

Why can a number which ends in 3 not be a multiple of 6?

A number that ends in 3 is an odd number, as it is not divisible by 2. For a number to be a multiple of 6, it must be divisible by both 2 and 3. Since a number ending in 3 is not divisible by 2, it cannot be a multiple of 6. In other words, any number ending in 3 will always have a remainder when divided by 6.

What is the ratio of 90 minutes to 70 minutes?

Well, honey, the ratio of 90 minutes to 70 minutes is 9:7. It's like comparing apples to oranges, but in this case, it's minutes to minutes. So, there you have it, simple math for your brain to digest.

What is 2 thirds of 240?

To find two-thirds of 240, you first need to calculate what one-third of 240 is. One-third of 240 is 240 divided by 3, which equals 80. Therefore, two-thirds of 240 is 80 multiplied by 2, which equals 160. So, two-thirds of 240 is 160.

What is the reciprocal of 2 and 1 over 3?

Oh, dude, the reciprocal of a number is just 1 divided by that number. So, the reciprocal of 2 is 1/2, and the reciprocal of 1/3 is 3. So, the reciprocal of 2 and 1/3 is 1/(2 + 1/3) which simplifies to 3/7. Easy peasy, like basic math stuff, you know?

What is fraction 2 out of 3 plus 3 out of 4?

2 out of 3' is '1'

'3' out of '4' is 1'

So their fraction is 1/1 = 1

However, I think you mean

2/3 + 3/4 , which is the addition of fractions.

{2(4) + 3(3)} / (3 x 4) =>

{ 8 + 9} / 12

=>

11/12 The answer!!!!!

What is the HCF of 6 and 18?

The Highest Common Factor (HCF) of 6 and 18 is the largest number that divides both 6 and 18 without leaving a remainder. To find the HCF, we need to determine the common factors of 6 and 18, which are 1, 2, and 3. The largest among these common factors is 3, so the HCF of 6 and 18 is 3.

What is the least number that you should multiply to 200 to make it a perfect cube?

To find the least number that should be multiplied to 200 to make it a perfect cube, we need to break down 200 into its prime factors, which are 2^3 * 5^2. To make it a perfect cube, we need to have each prime factor raised to a power that is a multiple of 3. Therefore, we need to multiply 2 * 5 = 10 to 200 to make it a perfect cube, resulting in 2000 (2^3 * 5^3).

How many combinations can you make with 1000 numbers?

There are 21000 - 1 combinations.

Remember that in a combination the order of the numbers does not matter. That is relevant only for permutations which are not the same thing.

For each combination, each one of the 1000 numbers can be in or out. So for each combination there are 1000 choices of in or out. Except that if all are out, you get a null combination - that is, a combination with no numbers. For that particular case you subtract the 1 from the total.

You will have 1 combination consisting of 1000 numbers, 499500 of 2 numbers and so on. The number of combinations will be the nth row of Pascal's triangle.

Convert 240 square yard in square feet?

To convert square yards to square feet, you need to know that 1 square yard is equal to 9 square feet. Therefore, to convert 240 square yards to square feet, you would multiply 240 by 9. This gives you a total of 2160 square feet. So, 240 square yards is equal to 2160 square feet.

What is the radius of a circle with a circumference of 44?

Oh, dude, you're hitting me with some math here. So, if the circumference is 44, we use the formula Circumference = 2 * π * radius. Just divide 44 by 2π (which is about 6.28) to get the radius. So, the radius is approximately 7. Oh, the joys of circles and their sneaky circumference-to-radius conversions!

What value is stored in uninitialized variables?

The value stored in uninitialized variables is undefined and can vary depending on the programming language and compiler being used. In some languages, uninitialized variables may contain random or garbage values leftover from the memory location previously assigned to them. It is considered best practice to always initialize variables before using them to avoid potential bugs and unpredictable behavior in the program.

What is 4x equals 5x?

Oh, what a happy little equation we have here! When we have 4x equals 5x, we simply need to remember that both sides should be equal. So, if we subtract 4x from both sides, we get x equals 0. It's all about finding that balance and making sure both sides of the equation are in harmony.

What is the perimeter of a square with an area of 49?

The area of square is the square of one of its sides, which are all equal. To find the value of a side, take the square root of the area. In this case the square root of 49cm2 is 7cm. The perimeter is the sum of all four sides of the square, so the perimeter of a square with an area of 49cm2 is 7+7+7+7 = 28, or 4x7 = 28.

What is the diameter of a circle whose circumference is 314?

The diameter of a circle whose circumference is 314 is about 1 (99.95).

What are 2 examples of dicotyledons?

Well, honey, dicotyledons are just a fancy way of saying plants with two seed leaves. So, let me break it down for you - roses and sunflowers are two prime examples of dicotyledons. They may not be the life of the party, but they sure know how to sprout those fancy little seed leaves.

What does HOW LONG mean in math?

Well, hello there! In math, "how long" usually refers to the measurement of time or the length of an object or distance. It's all about understanding the duration or size of something. Just like painting a happy little tree, take your time and measure things carefully to find the answer you're looking for.