Answer: m<3 is 36 degrees.
Step-by-step explanation:
7x=3x+9+3x
7x=6x+9
-6x -6x
x=9
m<3=3(9)+9
m<3=27+9
m<3=36
Let x be the number of hours the master electrician works and y the numbers of hours his apprentice works.
The master electrician earns $62 per hour, which means that he earns 62x.
His apprentice earns $40 per hour, which means that he earns 40y.
Together they are paid $492, so we can get the equation:
62x + 40y = 492.
We know that the electrician worked 3 hours more than his apprentice. So he worked x = y + 3 hours. Now let's replace x by its new value in the previous equation.
62x + 40y = 492
62(y+3) + 40y = 492
62y + 186 + 40y = 492
Now we need to put variables apart and numbers apart, so we subtract 186 from both sides of the equation:
62y + 40y + 186 - 186 = 492 - 186
102y = 306
Now we divide both sides by 102
(102y)/102 = 306/102
y = 3
So the apprentice worked 3 hours.
As we already mentioned, the electrician worked 3 hours more than his apprentice.
So he worked x = y + 3 = 3+3 = 6 hours.
The master electrician earns $62 per hour. Since he worked 6 hours, he earns 62 * 6 = 372 dollars.
So the master electrician earns $372 (Option D)
Hope this helps! :)
Answer:
choice 2) Yes
Triangle ACB is congruent to triangle XZY because of the Side-Side-Side theorem
k = 1.5
Answer:
3x²+8xy+4y²
Step-by-step explanation:
Opening brackets,
3x²+6xy+2xy+4y²
=3x²+8xy+4y²
Answer:
X = 0 4 8 12
Y = 10 7 4 1
Step-by-step explanation:
Given:
Cost of one T shirt = $15
Cost of one sweater = $ 20
To find :
The graph that will represent both number of T-shirts and sweatshirts = ?
Solution:
Let the number of t-shirts be x
The number of sweaters be y
They want to rise a found of $200
Then the equation to represent this situation is
15x + 20y = 200
By trial and error method
15(12) + 20(1) = 200
15(8) + 20(4) = 200
15(0) + 20(10) = 200
15(4) + 20(7) = 200
