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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 is x over 2?

Well, isn't that just a lovely question! When we say "x over 2," we are talking about dividing the value of x by 2. It's like sharing a beautiful painting with a friend - you're splitting the beauty in half to appreciate it together. Just remember, math is like painting - it's all about finding balance and harmony.

What does 120 divide by 20 equals?

120 divided by 20 equals 6. Division is the mathematical operation of splitting a number into equal parts. In this case, 120 is being split into 20 equal parts, resulting in each part being 6. This can be represented as 120 ÷ 20 = 6.

What is 13 squared?

169

squared just means the number times itself 2 times 13 x 13 = 169

For another example 12 squared is 12 x 12. The answer is 144
169. 13 X 13 = 169

How can you prove that a quadrilateral is a trapezium?

You can prove it if you can prove that one pair of opposite sides is parallel (and, strictly speaking, that the other pair is not).

Proving that the lines are parallel depends on the information available. Thier equations may have the same slope (gradient), or that the angles at their ends are supplementary, etc.

Is A4 paper a example of the golden ratio?

No.

The golden ratio is approximately 1.618.

The A4 paper uses something known as the Lichtenberg ratio 1:sqrt(2). If you cut a piece of A4 paper in half, the sides of the smaller sheets would maintain the same ratio. That's why A4 is exactly half the size of an A3 sheet, and A3 is exactly half of an A2 sheet, and so on.

What is non positive integer?

A non-positive integer is a negative integer. The term refers to any integer (a number that has no decimal part) that is less than zero.

It means that it is an integer (whole number), and that it isn't positive. In other words, that includes zero, and negative integers.

How many solutions does an polynomial equation have?

Well, honey, a polynomial equation can have multiple solutions, depending on the degree of the polynomial. A polynomial of degree "n" can have at most "n" solutions, including complex solutions. So buckle up and solve those equations, darlin'!

What is 2y when y equals 8?

Oh, dude, you're hitting me with some math here! Okay, so if y equals 8, then 2y would be 2 times 8, which equals 16. It's like, you know, basic multiplication and stuff. So yeah, 2y is 16 when y equals 8.

How many nickels in 1 foot?

Well, isn't that a happy little question! If we're talking about stacking nickels on top of each other in a line, you'd fit about 57 nickels in a foot. Just imagine all the wonderful things you could paint with those nickels, happy little trees and fluffy clouds! Let's paint a world where every question brings joy and creativity.

What is the HCF of 210 and 165?

The Highest Common Factor (HCF) of 210 and 165 is the largest positive integer that divides both numbers without leaving a remainder. To find the HCF, you can use the Euclidean algorithm, which involves dividing the larger number by the smaller number and then using the remainder as the new divisor until the remainder becomes zero. In this case, the HCF of 210 and 165 is 15.

What is the common denominator for 9 and 13?

The common denominator of any two or more whole numbers, such as 9 and 13, will always be one (1) because 'common denominator' refers to the denominators of two or more fractions or mixed numbers, not whole numbers. So, a set of whole numbers (x,x) would have to be converted to their fraction equivalents, i.e., x/1, which will always yield a denominator of 1.

What is a negative plus a positive?

When adding a negative number to a positive number, you are essentially subtracting the absolute value of the negative number from the positive number. The result will have the sign of the number with the greater absolute value. For example, -3 + 5 would be equivalent to 5 - 3, which equals 2.

How do you write 186000 in expanded notation using powers of 10?

To write 186,000 in expanded notation using powers of 10, we break it down into its component parts based on the place value of each digit. In this case, 186,000 can be expressed as (1 x 10^5) + (8 x 10^4) + (6 x 10^3). This breakdown shows that there is 1 hundred thousand, 8 ten thousands, and 6 thousands in the number 186,000.

If A car travels at an average speed of 52 miles per hour How long does it take to travel 299 miles?

To calculate the time it takes to travel 299 miles at an average speed of 52 miles per hour, you can use the formula: time = distance ÷ speed. In this case, time = 299 miles ÷ 52 miles per hour ≈ 5.75 hours. Therefore, it would take approximately 5.75 hours to travel 299 miles at an average speed of 52 miles per hour.

What is 0.0024 as a fraction?

Well, isn't that a happy little question! Let's turn 0.0024 into a fraction. We can write it as 24/10,000, and then simplify it to 3/125. Just like that, we've transformed numbers into a lovely little fraction.

What is the answer to page 8.5 in punchline algebra book A?

Oh, dude, let me grab my crystal ball and flip to page 8.5 in my imaginary algebra book. Ah, here it is! The answer is... well, I have no idea because, like, I don't have your book. Maybe try actually looking at the page instead of asking a random comedian on the internet? Just a thought.

Why did they arrest the automobile factory worker?

Oh, dude, they arrested the automobile factory worker because they were caught stealing car parts. Like, you can't just walk out with a trunk full of spark plugs and expect no one to notice. It's like trying to steal candy from a baby, except the baby is a multi-million dollar corporation with security cameras everywhere.

What to the 3rd power equals 256?

Oh, dude, you're hitting me with some math now? Okay, okay, let me dust off my brain cells for this one. So, if we're talking about what number to the 3rd power equals 256, well, that's 4. Yeah, 4 to the 3rd power gives you 64, and 64 to the 4th power gives you 256. Easy peasy, right?

What is a 87 degrees angle?

That refers to the measure of the angle. In general, angles that are "wider" have a higher number of degrees. 360 degrees is a whole turn; 90 degrees is a quarter turn, so 87 degrees is a bit less than that.

How many distinct ways can you arrange the letters of the word literature?

Depends on the t's and e's are different or not.

There are 10 letters and 10 'spaces' for them to be in.

The first space has 10 different candidates.

The second has 9. The 3rd has 8 and so on.

So there are 10! = 3,628,800 different ways to arrange the letters.

That is if the t's and e's are different.

.

If literaturE is the same as litErature, then we have all possibilities twice concerning the e's.

3,628,800 / 2 = 1,814,400

.

The same goes for the t's.

1,814,400 / 2 = 907,200

.

Ergo: 907,200 or 3,628,800 ways.

What is the fraction 8 over 25 as a percent?

To convert a fraction to a percent, you first divide the numerator by the denominator. And then multiply by 100, which moves your decimal point two places to the right.

Another way to do it, or check your answer, is to make the fraction equivalent to a denominator of 100. So if you were to convert 8/25 to X/100, your new numerator would be the percentage.

Does a pencil weigh less than a kilogram?

Please note that a kilogram is a unit of mass - NOT a unit of weight. And yes, a pencil has a mass that is considerably less than a kilogram. For comparison, a kilogram is the mass of a liter of water.

What is meaning of figure size 34 28 34?

In the context of clothing or fashion, the figure size "34-28-34" typically refers to a woman's body measurements in inches. The first number represents the bust size (34 inches), the second number represents the waist size (28 inches), and the third number represents the hip size (34 inches). These measurements are commonly used in the fashion industry to describe a woman's body proportions.

What are the whole numbers between 1 and 20?

Oh, what a happy little question! The whole numbers between 1 and 20 are 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19. Each number is unique and special, just like every tree in our painting. Just remember to paint them with love and kindness.