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a total of 25 times
3m + 10 = 12 - m add m to both sides: 4m + 10 = 12 subtract 10 from both sides: 4m = 2 divide both sides by 4: m = 2/4 = 1/2 or 0.5
(10-2)x180=1440 Degrees You first have to subtract 10 - 2 then multiply by 180
By the signs: 2+2(Add) 2-2(Subtract) +=add -=subtract
If you add numbers from 1 to n, the total is n(n+1)/2. How do we know that? Because you can add n to 1, and (n-1) to 2 and so on, so you have n/2 values each totalling n+1 (it works even if n is odd, as you would have a half total left in the end). Now, you want to add only the even integers, let's say from 1 to m. You can say that m is the same as 2n throughout. So the total of the first m even integers should be the same as twice the total of the first n integers, or n(n+1), and since we postulated that m=2n, the total is thus m/2(m/2+1). Same way, if we want to add only the odd numbers, we can say that m is 2n-1 (if we said 2n+1, we'd miss 1 and we'd start at 3). Or, we can simply use the even total equation abive and subtract 1 for each value added up (so that 2 becomes 1, 4 becomes 3 and so on) that is to say n value less. If you work up the algebra, you end up with an interesting property: the equation reduces to a very neat ((m+1)/2)^2, that is the total of all the odd number from 1 to 7 is (8/2) ^2 or 16. Try it.
a total of 25 times
3m+2=17 First, subtract 2 to get m on one side. 3m+2-2=17-2 3m=15 Divide by 3 to get m by itself. 3m/3=15/3 m=5 m equals 5.
You can subtract 2 from 21 a total of 10 times. This is because each time you subtract 2, you are left with 19, and you can repeat the process until you reach 1. Mathematically, this can be represented as 21 - 2 = 19, 19 - 2 = 17, and so on until you reach 1.
3m + 10 = 12 - m add m to both sides: 4m + 10 = 12 subtract 10 from both sides: 4m = 2 divide both sides by 4: m = 2/4 = 1/2 or 0.5
Equation 1: M = L + 24; Equation 2: M + 2 = 2(L + 2) Substitute M: L + 24 + 2 = 2L + 4 Subtract L from each side: 26 = L + 4 Subtract 4 from each side: 22 = L Max is 46 and Liam is 22; in 2 years Max will be 48 and Liam 24.
(10-2)x180=1440 Degrees You first have to subtract 10 - 2 then multiply by 180
2 m south
M=4, Just subtract 9 from 13 to get m's value.
You would usually associate total with add. However getting a total can sometimes involve having to subtract something.
subtract 1 from 2
mn = 80 m -n = -79 Substitute m - 80/m = -79 m^2 - 80 = -79m m^2 + 79m = 80 (NB Notice change of signs) Quadratic Eq'n m = { - 79 +/- sqrt[)79)^2 - 4(1)(-80)}] / 2(1) m = { - 79 +/- sqrt[6241 + 320}]/ 2 m = { -79 +/- sqrt[6561]} / 2 m = { - 79 +/- 81}/2 m = -160 / 2 = -80 or m = 2/2 = 1 Hence n = 1 + 79 = 80
The formula is M=180 times (n-2), where M is the total degree measure in the polygon and n is the number of sides. For example, in a hexagon, n is six, so M=180x(6-2), M=180x4 M=720, so there are 720 total degrees in a hexagon.