Algebra

To convert 1 meter and 53 centimeters to feet, first convert the meters to feet. Since 1 meter is approximately 3.28 feet, 1 meter is 3 feet and 53 centimeters is 1.74 feet. Adding these two values together gives a total of approximately 4.74 feet.

The square root of 65536 is 256. This is because the square root of a number is a value that, when multiplied by itself, gives the original number. In this case, 256 multiplied by 256 equals 65536. The square root function is the inverse of squaring a number.

Oh, dude, the square root of 37 is between 6 and 7. Like, technically, it's 6 point something, but who really cares about those decimals, right? So yeah, it's between 6 and 7.

Let the two digits be represented by a and b.

a x b = 12 then, b = 12/a.

a + b = 13.........after substituting for b this becomes :-

a + 12/a = 13.....multiply throughout by a :-

a2 + 12 = 13a....re-arrange :-

a2 - 13a + 12 = 0

This factors as (a - 12)(a - 1) = 0

When a - 12 = 0 then a = 12

When a - 1 = 0 then a =1

As we have already substituted for b then b can take one of theses values and the two numbers are 1 and 12.

Note : The solution can be easily determined from the values supplied in the question but the process of finding the answer will apply to any such problem.

To solve this problem, we first need to understand that "four times the number i" can be represented as 4i. Then, to find "12 fewer hats than 4i," we subtract 12 from 4i to get 4i - 12. Therefore, "12 fewer hats than four times the number i" is represented by the expression 4i - 12.

1.2mm mig weighs 0.0087kg/meter therefore 1.724km per 15kg spool

Oh, dude, the highest common factor of 756? That's like the biggest number that can divide 756 without leaving a remainder. So, the highest common factor of 756 is 756 itself. It's like the king of factors for that number.

Four 7's can equal 56 through multiplication. If you multiply 7 by 4, you get 28. Then, if you multiply this result by 2, you get 56. Therefore, four 7's can equal 56 by performing the operation 7 x 4 x 2.

The given sequence is an arithmetic sequence with a common difference of 7 (18-11=7, 25-18=7, and so on). To find the nth term of an arithmetic sequence, you can use the formula: a_n = a_1 + (n-1)d, where a_n is the nth term, a_1 is the first term, n is the position of the term, and d is the common difference. In this case, the first term a_1 is 11 and the common difference d is 7. So, the nth term of this sequence is 11 + (n-1)7, which simplifies to 11 + 7n - 7, or 7n + 4.

To convert the number 186,000 to scientific notation, we first move the decimal point to the left until there is only one non-zero digit to its left. This gives us 1.86. Next, we count the number of places we moved the decimal point, which is 5 places. Therefore, 186,000 in scientific notation is 1.86 x 10^5.

A mathematical phrase that contains operations, numbers, or variables is called an algebraic expression. Algebraic expressions consist of constants (numbers), variables (letters representing unknown quantities), and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. These expressions can be simplified, evaluated, or manipulated using algebraic rules and properties.

Oh, dude, you're hitting me with some math now? Okay, okay, hold on to your calculators. The quotient of 10 and 2.5 is 4. Because, like, you divide 10 by 2.5 and you get 4. So, there you have it, math wizard!

I assume that means that you are supposed to multiply 150 times 5/6.

To find the greatest common factor (GCF) of 24, 32, and 48, we need to determine the largest number that divides evenly into all three numbers. First, we find the factors of each number: 24 (1, 2, 3, 4, 6, 8, 12, 24), 32 (1, 2, 4, 8, 16, 32), and 48 (1, 2, 3, 4, 6, 8, 12, 16, 24, 48). The GCF of 24, 32, and 48 is 8, as it is the largest number that appears in the factor lists of all three numbers.

To calculate the square root of 7.75 we use Hero's Method.

By following Hero’s method we get:

The square root of 7.75 = 2.7838

While round off 2.7838 to 3

Thus, the square root of 7.75 is 3 approximately

I just measured two housekeys...one was 5.3cm and the other was 5.5cm, so I suppose you could say a house key is approximately 5 centimeters in length.

Oh, dude, 5 to the power of -8 is like 1 divided by 5 to the power of 8. So, it's 1 over 390,625. But who's really counting, right? Math can be such a buzzkill sometimes.

The value of the expression 4.23 is simply 4.23 itself. In mathematics, an expression typically consists of numbers, symbols, and operators, but in this case, the expression is already a numerical value. Therefore, the value of the expression 4.23 is 4.23.

Ah, let's paint a happy little picture with numbers! In expanded form, 3741 is shown as 3000 + 700 + 40 + 1. Each digit holds its own special place value, creating a beautiful composition of numbers that work together in harmony. Just like every brushstroke adds depth to a painting, each digit adds value to the whole number.

To increase 28 to 96, you need to add 68. This can be calculated by subtracting 28 from 96, which equals 68. Therefore, increasing 28 by 68 results in 96.

The expanded form of a number breaks it down into its constituent parts based on its place value. For 901, the expanded form would be 900 + 1, or nine hundreds and one. This representation helps to understand the value of each digit in the number and how they contribute to the overall value of the number.

To write out the given statement algebraically, you would start by defining the variable for the number, let's say it is represented by 'x'. The equation would be: 6x - 5 < 2x + 10. This equation represents the statement "Six times a number minus five is less than twice the number plus ten" in algebraic form. To solve this inequality, you would isolate the variable 'x' by performing operations to simplify and find the range of values that satisfy the inequality.

To find the values of x and y that satisfy the system of equations x + y = 4 and y = 2x + 1, you can substitute the expression for y from the second equation into the first equation. This gives you x + (2x + 1) = 4. Simplifying, you get 3x + 1 = 4, which leads to 3x = 3 and x = 1. Substituting x = 1 back into the second equation, you find y = 2(1) + 1, so y = 3. Therefore, the solution to the system of equations is x = 1 and y = 3.

The formula for the area of the base of a rectangular prism is length multiplied by width. In mathematical terms, this can be represented as A = l x w, where A is the area of the base, l is the length of the base, and w is the width of the base. This formula is derived from the concept of finding the product of two sides of a rectangle to determine its area.

Let's denote the two numbers as x and y. We know that x + y = 30 and xy = 200. To solve this system of equations, we can substitute y = 30 - x into the second equation. This gives us x(30 - x) = 200. Simplifying, we get x^2 - 30x + 200 = 0. By solving this quadratic equation, we find that the two numbers are 20 and 10.