Answer:
24
Step-by-step explanation:
BD=DC
5x-26=2x+1
5x-2x=1+26
3x=27
x=9
BC=2x+1
=2*9+1
BC =19
so AB=AC-BC
AB=43-19
AB=24
Here the question is simple.
All because, we only need to find the value of x.
We are given two equations.
5x + 6 = 10 and 10x + 3 =?
So, we will find the the value of x in the first equation, so that we can substitute the value of x in the second one and there we are with the answer.
5x + 6 = 10
For finding the value of x, all we have to do is,
Transpose the number 6 to 10
Therefore. 5x = 10 - 6 ( Take the equal sign as The Magic Bridge on which if anyone crosses it , will change its sign.)
So we have,
5x = 4
So x = 4/5 ( Multiplication will change to division after crossing the equal sign)
( Doubtful? Substitute the value of x and try!)
Now that we got the value of x,
We can just simply substitute the value of x in the second equation.
10x + 3 = ?
x = 4/5
10*4/5 +3 => 5 and 10 get canceled to 2 at the numerator.
By normal multiplication and then addition, we will get,
8 + 3 = 11
Hope this helps!!!! :)
Answer:
The smallest number is 88
Step-by-step explanation:
Let
x ----> the first consecutive even number
x+2 --->the second consecutive even number
we know that
The linear equation that represent this problem is given by

solve for x

so

therefore
The smallest number is 88
Answer:
Henri filled 18 gift bags. Hope this helps!!
Step-by-step explanation:
You half to divide how many candies that you are putting in the bag by the amount you have. So if you have 432 candies and you are putting 24 in each bag you would have 18 bags.
For this answer, you multiply the weight of each penny nail by x and the weight of each wood nail by y. If the bag holds one pound of nails, you would use the inequality ≤.
.05x + 0.1y ≤ 1