Represent these consecutive numbers (assuming that they are all integers):
x
x+1
x+2
x+3
x+4
x+5
and so on
x+8
x+9 is the tenth number. x+9 = 10, so x = 9.
Think of it this way: there are 10 consecutive numbers, and the last one is 10.
Working backwards, we get the sequence 10, 9, ... 3, 2, 1.
The sum of such an arith sequence is equal to the count of the numbers times the average of the first and last terms:
sum here = 10(1+10)/2 = 5(11) = 55 (answer)
Answer:
(B) The inequality that represents this relationship is 
Step-by-step explanation:
Let us assume the given number = x
⇒ 3 times the given number = 3 (x) = 3x
Square of the given number = 
Now, According to the question:
The difference of (3 x) and 15 is no less than 
⇒ 
or,
Hence, the given inequality is represented as
Answer:
foreign stamps = 299
US stamps = 353
Step-by-step explanation:
Let number of foreign stamps be x.
Given she has 54 more U.S stamps than foreign , US stamps = x +54
Total stamps = US + Foreign
652 = x + 54 + x
652 - 54 = 2x
598 = 2x
x = 299
Answer:
option B
Step-by-step explanation:
Rule:output=input -2
LEts analyze the table
we use the input and apply the rule to get the output
LEts subtract 2 from input to get the output
Input Rule (input -2 ) Output
-3 -3-2 -5
-7 -7-2 -9
6 6-2 4
Option B matches with our table
Answer:
The equation listed is linear because 2x is a constant, meaning that it continuously moves in a straight line in one set direction.
Step-by-step explanation:
