Answer:
x + 1
Step-by-step explanation:
There are a few ways this problem could be solved. The easiest route is to note that the first part of the question says "2 consecutive numbers". If the numbers are next to each other on a number line (consecutive) and x is the smaller number, the larger number is x + 1.
To check, let's find the two numbers. We know the numbers are next to each other on a number line and that together, they equal 37. Let's begin with 15 and 16.
15 + 16 = 31
These numbers are too low, as they should add to 37. Let's try 18 and 19.
18 + 19 = 37
There are the two correct numbers. If x = the smaller number, x = 18.
18 + 1 = 19
Since this is correct, we know for sure that the answer is x + 1.
Answer:
![a + b = 5 \\ a \: = 5 - b \\ a - b = 4 \\ 5 - b - b = 4 \\ 5 - 2b = 4 \\ 5 - 4 = 2b \\ 1 = 2b \\ \frac{1}{2} = \frac{2b}{2} \\0.5 = b \\ b = 0.5 \\ a = 5 - b \\ = 5 - 0.5 \\ = 4.5 \\ {a \: }^{2} - {b}^{2} = ( {4.5}^{2}) - ( {0.5}^{2} ) \\ = 20.25 - 0.25 \\ = 20 \\ {a}^{2} - {b}^{2} = 20](https://tex.z-dn.net/?f=a%20%2B%20b%20%3D%205%20%5C%5C%20a%20%5C%3A%20%20%3D%205%20-%20b%20%5C%5C%20%20a%20-%20b%20%3D%204%20%5C%5C%205%20-%20b%20-%20b%20%3D%204%20%5C%5C%205%20-%202b%20%3D%204%20%5C%5C%205%20-%204%20%3D%202b%20%5C%5C%201%20%3D%202b%20%5C%5C%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%3D%20%20%5Cfrac%7B2b%7D%7B2%7D%20%20%5C%5C0.5%20%3D%20b%20%5C%5C%20%20b%20%3D%200.5%20%5C%5C%20a%20%3D%205%20-%20b%20%5C%5C%20%20%3D%205%20-%200.5%20%5C%5C%20%20%3D%204.5%20%5C%5C%20%20%7Ba%20%5C%3A%20%7D%5E%7B2%7D%20%20-%20%20%7Bb%7D%5E%7B2%7D%20%20%3D%20%28%20%7B4.5%7D%5E%7B2%7D%29%20%20-%20%28%20%20%7B0.5%7D%5E%7B2%7D%20%29%20%20%5C%5C%20%20%3D%2020.25%20-%200.25%20%5C%5C%20%20%3D%2020%20%5C%5C%20%20%7Ba%7D%5E%7B2%7D%20%20-%20%20%7Bb%7D%5E%7B2%7D%20%20%3D%2020)
Step-by-step explanation:
HOPE THAT THIS IS HELPFUL.
HAVE A GREAT DAY.
1) 13a=-5
Make a the subject of the formula by dividing both sides by 13(the coefficient of a)
13a/13=-5/13
Therefore a= -0.385
The second one). 12-b= 12.5
You take the 12 to the other side making b subject of the formula (-b in this case)
-b= 12.5-12
-b= 0.5
(You cannot leave b with a negative sign so you will divide both sides by -1 to cancel out the negative sign)
-b/-1= 0.5/-1
Therefore b=-0.5
The third one). -0.1= -10c
You will divide both sides by the coefficient of c(number next to c) which is -10
-0.1/-10= -10c/-10
Hence, c= 0.01