Answer:
A x=1.5y i think
Step-by-step explanation:
Answer:
6:
S1: 8 = 11x + 8
S2: 0 = 11x
S3: x = 0
8:
S1: 6x = 2x + 24
S2: 4x = 24
S3: x = 6
Step-by-step explanation:
6:
S1: Add like terms (5x+6x)
S2: Subtract 8 from both sides to get x by itself
S3: divide by 11 (anything that divides/is divided by 0 is 0)
8:
S1: Add 7 to the other side
S2: Subtract 2x to the other side
S3: divide 24 by 4
Answer:
∠A = 120°
∠B = 60°
Step-by-step explanation:
Since, ∠A and ∠B form a linear pair.
Therefore,
∠A + ∠B = 180°.....(1)
It is given that:
∠A = 2∠B..... (2)
From equations (1) & (2)
2∠B + ∠B = 180°
3∠B = 180°
∠B = 180°/3
∠B = 60°
So, ∠A = 2∠B = 2*60°
∠A = 120°
Step-by-step explanation:
100% = 11.5
20% more means 120%
120% = 100%×1.2 = 11.5×1.2 = 13.8 ounces
The solution is n = 5 and r = 4
Step-by-step explanation:
Given,
nCr : (n+1)Cr : (n+2)Cr = 1:3:7
To find the value of n and r.
Formula
nCr = [ n! means = n.(n-1).(n-2)....3.2.1]
Now,
nCr : (n+1)Cr = 1:3 and (n+1)Cr : (n+2)Cr = 3:7
or, : = 1:3 or, : =
or, × = or, × =
or, = or, =
or, 3(n+1-r) = n+1 or, 7(n+2-r) = 3(n+2)
or, 3n+3-3r = n+1 or, 7n+14-7r = 3n+6
or, 2n-3r = -2 or, 4n-7r = -8
Now, by solving
2n-3r = -2 -----(1)
4n-7r = -8 -----(2) we will get n and r
Multiplying (1) by and then subtract with (2) we get,
2(2n-3r) - (4n-7r) = -4-(-8)
or, 4n-6r-4n+7r = 4
or, r = 4
From (1) we get,
2n = -2+3(4)
or, 2n = 10
or, n = 5
Hence,
n = 5 and r = 4