Answer:
Let the original number be x
Successor is defined as the number which comes immediately after a particular number.
also, the successor of a whole number is the number obtained by adding 1 to that number.
Then, the successor of a number x is, x+1
As per the given condition :
we have;
Using distributive property on LHS (i.e, 
)
Then, we have
5x+5+x=83
Combine like terms;
6x+5=83
Subtract 5 from both the sides we get;
6x+5-5=83-5
Simplify:
6x=78
Divide both side by 6,
Simplify:
x =13
Therefore, the original number x is, 13
Answer:
x = 4
Step-by-step explanation:
Cross multiply:
21*2 = 14(x - 1)
42 = 14x - 14
14x = 56
x = 4
Answer: 55-1/2w=p
Step-by-step explanation: 55 is the starting weight. Therefore, you need to subtract 55 by 1/2 (the amount of weight he loses each week) times each week. This will determines the weight- (p).
-2x - 13 = -3x - 5
Step 1: Combine like terms
x's go with x's (-2x and -3x). To do this add 2x to both sides
(-2x + 2x) - 13 = (-3x + 2x) - 5
(0) - 13 = (-x) - 5
- 13 = -x - 5
normal numbers go with normal numbers ( -13 and -5). To do this add 5 to both sides
(- 13 + 5) = -x + (- 5 + 5)
-8 = -x + (0)
-8 = -x
Step 2: Isolate x by dividing -1 to both sides (this will take the negative sign away from the x)
8 = x
x= 8
Hope this helped!
Answer: 222cm
Step-by-step explanation:
To find the area of this composite shape you will have to split them into 2 shapes; a rectangle and a triangle.
To work out the area of the rectangle you have to do 15×12= 180
Then, to work out the area of the triangle, you use the formula base times height divided by 2.
7×12=84
84÷2=42
Then to work out the total area of both the rectangle and the triangle, you have to add the area of both.
180+42=222cm
Hope this helps :)
