Answer:
5y+8(x-3y)=7x-12
5y+8x-24y=7x-12
8x-7x + 5y-24y= -12
X - 19y = - 12
9x+3(x-9y) =11y+46
9x+3x - 27y = 11y + 46
12x -27y - 11y = 46
12x - 38y = 46
Now joining together
X - 19y = - 12
12x - 38y = 46
Multiple by 12 the first equation and Substract after
12x - 228y = -144
12x - 38y = 46
- 190y = -98
Y = 1.9
12x - 38y = 46
12x - 38(1.9) = 46
12x - 73.67 = 46
12x = 46 + 73.67
12x = 119.67
X = 9.97
So the answer are :
X = 9.97
Y = 1.9
Step-by-step explanation:
Answer:

is the system of equations representing the situation.
Step-by-step explanation:
Given:
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.
Now, to find the system of equations representing the situation.
<u><em>Let the number of haircuts be </em></u>
<u><em /></u>
<u><em>Let the number of hair dyes be </em></u>
<u><em /></u>
So, Alexandra can give 3 haircuts and 2 hair dyes in:

Now, giving 2 haircuts and 4 hair dyes in:

Therefore,

is the system of equations representing the situation.
Answer:
∠1, ∠5 and ∠8 (a)
Step-by-step explanation:
∠1 because vertical angles are congruent
∠5 because opposite interior angles are congruent
if ∠5 = 70° then ∠8 also equals 70° because of vertical angles
The second answerrrrrrrrr
<h3>
Answer: 45/121</h3>
=========================================
Work Shown:
2 blue, 4 red, 5 green
2+4+5 = 11 total
P(blue) = probability of getting one blue marble
P(blue) = (number of blue)/(number total)
P(blue) = 2/11
A = P(2 blue) = (2/11)*(2/11) = 4/121
P(red) = 4/11
B = P(2 red) = (4/11)*(4/11) = 16/121
P(green) = 5/11
C = P(2 green) = (5/11)*(5/11) = 25/121
Add the values of A,B, and C to get the probability of getting two of the same color
A+B+C = 4/121+16/121+25/121 = 45/121
This is approximately equal to 0.3719 which is roughly a 37.19% chance of happening
Side note: we can add A,B, and C because they are mutually exclusive events.