r+3+2r=21 to solver this equation you have to first simplify then solve. you have to combine same variables. 3r+3=21 -3 -3 you subtract three to get r by itself (3r=18)/3 you divide by three to get r by itself Answer r=6
-2r(3r - 11)(3r + 11)
0.3(2r) - 0.3(3) = 0.2(r) + 0.9Clear parentheses:0.6r - 0.9 = 0.2r + 0.9Multiply each side by 10:6r - 9 = 2r + 9Add 9 to each side:6r = 2r + 18Subtract 2r from each side:4r = 18Divide each side by 4:r = 18/4 = 4.5
That depends on what the question is. What you gave is simply a relationship between two variables. You can simplify it like this: 4x + 8 = 2r + 20 (4x + 8) / 2 = (2r + 20) / 2 2x + 4 = r + 10 2x + 4 - 4 = r + 10 - 4 2x = r + 6 You can then solve for x by dividing both sides by two: 2x / 2 = (r + 6) / 2 x = r/2 + 3 You could also solve for r by subtracting six from both sides, and rearranging the equation: 2x = r + 6 2x - 6 = r + 6 - 6 2x - 6 = r r = 2x - 6 r = 2(x - 3)
43
multiply r2+7r+10/3 by 3r-30/r2-5r-50 weegy
12 + 8r - 6 = 7r - 5 - 3 8r +6 = 7r -8 r = -14
r+3+2r=21 to solver this equation you have to first simplify then solve. you have to combine same variables. 3r+3=21 -3 -3 you subtract three to get r by itself (3r=18)/3 you divide by three to get r by itself Answer r=6
-2r(3r - 11)(3r + 11)
If: 7 -2r = 13 Then: r = -3
0.3(2r) - 0.3(3) = 0.2(r) + 0.9Clear parentheses:0.6r - 0.9 = 0.2r + 0.9Multiply each side by 10:6r - 9 = 2r + 9Add 9 to each side:6r = 2r + 18Subtract 2r from each side:4r = 18Divide each side by 4:r = 18/4 = 4.5
Only if all the variables match up. Example of when they do match: 3x^2 +2y+r plus x^2- 2r+ 3y When they don't match: 3x^4+x+y plus 3x^3-x^2 +r
1)5r+7=13+2r+3r 2)5r+7=13+5r 3)5r's cancel 7=13 4)Subtract thirteen on both sides 7 =13 -13 -13 5)Answer is no solution because -6 doesn't equal to 0. -6=0 NO SOLUTION!!! Have fun with math!
Below ^ denotes power. 8q^6r^3=(2q^2r)^3 denote as a^3 and find a=2q^2r 27s^6t^3=(3s^2t)^3 denote as b^3 and find b=3s^2t Now 8q^6r^3+27s^6t^3=a^3+b^3 = (a+b)(a^2-ab+b^2) | substitute back =(2q^2r+3s^2t)(4q^4r^2-6q^2rs^2t+9s^4t^2). Notice (2q^2r)^2=4q^4r^2 (3s^2t)^2=9s^4t^2. Hence 8q^6r^3+27s^6t^3=(2rq^2+3ts^2)(4r^2q^4-6rts^2t^2+9t^2s^4), a=2q^2r and b=3s^2t.
That depends on what the question is. What you gave is simply a relationship between two variables. You can simplify it like this: 4x + 8 = 2r + 20 (4x + 8) / 2 = (2r + 20) / 2 2x + 4 = r + 10 2x + 4 - 4 = r + 10 - 4 2x = r + 6 You can then solve for x by dividing both sides by two: 2x / 2 = (r + 6) / 2 x = r/2 + 3 You could also solve for r by subtracting six from both sides, and rearranging the equation: 2x = r + 6 2x - 6 = r + 6 - 6 2x - 6 = r r = 2x - 6 r = 2(x - 3)
43
The sum of an arithmetic series of n terms is: S(n) = n(2a1 + (n - 1)d) / 2 where a1 is the first term and d is the difference between terms. The key to solving this is to realise that two sums are required, S1 and S2 such that: S1 = S(r) S2 = S(3r) - S(r). But that this second sum can also be stated as: S2 = sum of 2r terms starting at term ar+1 So that the problem then becomes: Find two sums S1 and S2 of the sequence an = 2n + 3 such that the first (S1) has r terms starting at a1 and the second (S2) has 2r terms starting at ar+1, with the ratio of S1 : S2 = 7 : 44. This gives: S1 = r (2a1 + (r - 1)d) / 2 = r(2(2x1 + 3) + (r - 1)2) / 2 = r(2r + 8) / 2 = r(r + 4) S2 = 2r(2ar+1 + (2r - 1)d) = 2r(2(2(r + 1) + 3) + (2r - 1)2) / 2 = 2r(2(2r + 5) + (2r - 1)2) / 2 = 2r(2r + 5 +2r - 1) = 2r(4r + 4) = 8r(r + 1) As S1 : S2 = 7 : 44, 44 S1 = 7 S2 => 44 r(r + 4) = 7 x 8r(r + 1))0 => 11(r + 4) = 14(r + 1) => 11r + 44 = 14r + 14 => 3r = 30 => r = 10 As r is the number of terms in S1 it is a third of the number of terms required, so 3 x 10 = 30 terms are needed. To check: a1 = 2 x 1 + 3 = 5 S(30) = 30(2 x 5 +(30-1) x 2) / 2 = 30 x 34 = 1020 S(10) = 10(2 x 5 + (10-1) x 2) / 2 = 10 x 14 = 140 Sum of 1st third S1 = S(10) = 140, sum of rest S2 = S(30) - S(10) = 1020 - 140 = 880 Ratio of S1 : S2 = 140 : 880 = 14 : 88 = 7 : 44 Note that the second sum S2 is also 20 terms starting at a11 = 2 x 11 + 3 = 25: S2 = 20(2 x 25 + 19 x 2)/2 = 20 x 44 = 880.