Algebra

Well, let's take a moment to appreciate the beauty of numbers. When you raise 10,000 to the power of 10, you get a really big number - 10 followed by 40 zeros! Isn't that just delightful? It's amazing to see how numbers can grow and create such vast possibilities.

To convert millimeters to meters, you need to divide by 1000 since there are 1000 millimeters in a meter. Therefore, 100 mm is equal to 0.1 meters. To express this as a fraction, you can write it as 1/10 since 0.1 is equivalent to 1/10. So, 100 mm is 1/10 or one-tenth of a meter.

To find the depth of a rectangle given the length, width, and volume, you first need to determine the formula for the volume of a rectangular prism, which is length x width x depth. Then, you can rearrange the formula to solve for the depth by dividing the volume by the product of the length and width. This will give you the depth of the rectangle.

if you were paying attention in class you knew the answer

Oh, what a happy little math problem we have here! To factor 35x + 63y, we can first look for the greatest common factor of the coefficients, which is 7. Then we can factor out the 7 to get 7(5x + 9y). And just like that, we've created a beautiful and simplified expression!

Well, isn't that a happy little equation we have there! To make it look a bit tidier, we can rearrange it as 4x + 5y = 7. That way, it's easier to see the relationship between x, y, and the constant term. Just remember, math is like painting - with a few brushstrokes, you can transform something complex into something beautiful.

The given algebraic expression can be simplified to: 14y+4x

51

Well, honey, to wrap that rectangular prism, you gotta find the surface area. Add up the area of all six sides: 2(8x8) + 2(8x10) + 2(8x10) = 320 square inches. So, you'll need at least 320 square inches of wrapping paper to cover that bad boy.

In the expression "2 plus x," x represents an unknown number or variable. The sum of 2 and x cannot be simplified further without knowing the specific value of x. Therefore, the answer to "2 plus x" is simply 2 + x.

It is an acute angle

Well, honey, the number you're looking for is 6. It's a factor because you can divide 6 by 1, 2, 3, and 6 without any remainder, and it's a multiple because you can multiply 6 by 1, 2, 3, and so on to get multiples of 6. So, there you have it, 6 is the lucky winner in this scenario.

28 inches is longer because 1 foot is equivalent to 12 inches that means 2 feet equals 24 inches only

Well, honey, you start by drawing a line with your ruler. Then, you put the point of your compass on one end of the line and draw an arc. Next, you put the point of your compass on where the arc intersects the line and draw another arc. Where those arcs meet is your 32-degree angle. Voila!

20 is 15% of 133.33 (actually 133 1/3).

To do this sort of problem, you first convert the percentage to a decimal by dividing it by 100 (in this case 15 / 100 = 0.15) and then you divide the number given by that decimal:

20 / 0.15 = 133.333333...

Well, darling, to get that equation in slope-intercept form, you just need to solve for y. So, rearrange the equation to get y = (2/6)x - 3/2. And there you have it, sweetie, the slope-intercept form of 2x - 6y = 9 is y = (1/3)x - 3/2.

There are an infinite number of possible solutions. A rectangle with length L and width is 9-L, for any L between 4.5 and 9 will satisfy the requirements.

Examples: 4.6 x 4.4 or 4.7 x 4.3 or 4.71 x 4.29 etc.

A rectangle with sides

Oh, dude, like, 2 percent of 600? That's just like moving the decimal two spots to the left, so it's 12. But, like, who even needs to know that? Just use a calculator or ask Siri, man.

Oh, dude, totally! So, like, the positive factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. You can pair them up as follows: (1, 36), (2, 18), (3, 12), and (4, 9). So, yeah, you can totally pair up all the positive factors of 36.

The area of the trapezium cannot be 140 metres since the latter is a length, not an area. Suppose the area is 140 m2 = 1400000 cm2

Suppose the length of the second parallel side is x cm.

Area of trapezium = 1/2*(sum of lengths of parallel sides*distance between them)

ie 1400000 = 1/2*[(16+x)*10]

280000 = 16+x so x = 279984 cm = 2.79984 kilometres.

Scientists primarily use the metric system of measurement in their work due to its standardized units and ease of conversion. The metric system is based on powers of ten, making calculations simpler and more accurate. The English system, also known as the Imperial system, is less commonly used in scientific research due to its lack of consistency and standardized units.

The surface area of a rectangular prism can be calculated by adding the areas of all six faces. The formula for the surface area of a rectangular prism is 2lw + 2lh + 2wh, where l, w, and h represent the length, width, and height of the prism, respectively. This formula accounts for the two faces of each dimension (length, width, and height) on the rectangular prism.

0.1667

Well, honey, I ain't no mathematician, but even I can count those 1's. There are 99 of those bad boys staring back at ya. So, unless you're looking for a lesson in counting, I'd say we're done here.