original problem: (m-24+9)-(3m-7n-12) distribute the negative sign: (m-24+9)+(-3m+7n+12) collect like terms: -2m+7n-3 that is as far as you can simplify this problem without knowing the values of m and n
Multiply by 100
Product means to multiply so it would be 7n.
7n = 91n = 91÷7n = 13
Yes, 3m is equal to 30 dm. This is because there are 10 decimeters (dm) in a meter (m). Therefore, to convert meters to decimeters, you multiply by 10. In this case, 3m x 10 = 30 dm.
This question as written can be taken two ways: 9m + 6n - 3m + 7n = 6m + 13n, or (9m + 6n) - (3m + 7n) = 9m + 6n - 3m - 7n = 6m - n
original problem: (m-24+9)-(3m-7n-12) distribute the negative sign: (m-24+9)+(-3m+7n+12) collect like terms: -2m+7n-3 that is as far as you can simplify this problem without knowing the values of m and n
Multiply by 100
Product means to multiply so it would be 7n.
7n(n−1)
7n = 91n = 91÷7n = 13
When you say "2m by 3m," you are referring to the dimensions of a rectangle. The "2m" represents the length of the rectangle, and the "3m" represents the width. To find the area of the rectangle, you would multiply the length by the width. In this case, the area would be 2m x 3m = 6 square meters.
2(3m plus 7) using the distributave property 6m+14. maybe
7n-6 = 1
0 = 7(n + 4)21Use distributive property to multiply 7 by n and 4.0 = (7n + 28)21Use Distributive property to multiply 21 by 7n and 28.0 = 147n + 588Subtract 147n from both sides of the equation.-147n = 588Divide the entire equation by -147n.n = -4
Yes, 3m is equal to 30 dm. This is because there are 10 decimeters (dm) in a meter (m). Therefore, to convert meters to decimeters, you multiply by 10. In this case, 3m x 10 = 30 dm.
Yes, and here's the proof: Let's start out with the basic inequality 4 < 7 < 9. Now, we'll take the square root of this inequality: 2 < √7 < 3. If you subtract all numbers by 2, you get: 0 < √7 - 2 < 1. If √7 is rational, then it can be expressed as a fraction of two integers, m/n. This next part is the only remotely tricky part of this proof, so pay attention. We're going to assume that m/n is in its most reduced form; i.e., that the value for n is the smallest it can be and still be able to represent √7. Therefore, √7n must be an integer, and n must be the smallest multiple of √7 to make this true. If you don't understand this part, read it again, because this is the heart of the proof. Now, we're going to multiply √7n by (√7 - 2). This gives 7n - 2√7n. Well, 7n is an integer, and, as we explained above, √7n is also an integer; therefore, 7n - 2√7n is an integer as well. We're going to rearrange this expression to (√7n - 2n)√7, and then set the term (√7n - 2n) equal to p, for simplicity. This gives us the expression √7p, which is equal to 7n - 2√7n, and is an integer. Remember, from above, that 0 < √7 - 2 < 1. If we multiply this inequality by n, we get 0 < √7n - 2n < n, or, from what we defined above, 0 < p < n. This means that p < n and thus √7p < √7n. We've already determined that both √7p and √7n are integers, but recall that we said n was the smallest multiple of √7 to yield an integer value. Thus, √7p < √7n is a contradiction; therefore √7 can't be rational, and so must be irrational. Q.E.D.