1/2 (12)(5a+7b)
6(5a+7b)
30a + 42b -- I hope this helped
Answer:
600
Step-by-step explanation:
Let's consider this question using algebra.
Imagine the number of bricks in the original pile is .
We are told that of the bricks are used for a project, meaning that has been used, leaving us with as our remainder.
Then, we are told that of the remainder are used to leave us with 50 bricks. This means that of the remainder is left, and this is equal to 50 bricks. This means that the remainder's original amount is equal to 150, because we are told that of the remainder is equal to 50.
So, we know that the remainder is 150, and we also know that the remainder is . Let's now use these to form an equation.
Because we know that a quarter of the original amount of bricks is equal to 150, we can multiply both sides of the equation by 4 to get the original amount of bricks in the pile.
So, there were 600 bricks in the original pile.
Answer:
45
Step-by-step explanation:
The three angles of a triangle add to 180 degrees
3x+5x+4x = 180
Combine like terms
12x = 180
Divide by 12
12x/12 =180/12
x = 15
The smallest angle is 3x
3(15) = 45
Answer:
Step-by-step explanation:
We know that the 1st equation + 2nd equation + 3rd equation = 45. Now we just need to identify from the infor given what these equations are, then set them to equal 45.
It has already been determined that the 1st equation is x.
The second equation is "3 more than twice the first". Twice the first is 2x, and 3 more is +3; therefore, the second equation is: 2x + 3.
The third equation is "2 more than the first". 2 more than is +2, so the third equation is x + 2.
Now we have all 3:
1st: x
2nd: 2x + 3
3rd: x + 2
Add them all up and set them equal to 45:
x + 2x + 3 + x + 2 = 45.
You don't have choices listed, so it's either that one above, or simplified down to:
4x + 5 = 45
After that, any simplification done will be solving the equation.