X= 1st integer
x+2= 2nd integer
x+4= 3rd integer
Add the integers together
x + (x + 2) + (x + 4)= 279
combine like terms
3x + 6= 279
subtract 6 from both sides
3x= 273
divide both sides by 3
x= 91 first integer
Substitute x=91 to find 2nd & 3rd integers
2nd Integer
=x+2
=91+2
=93
3rd Integer
=x+4
=91+4
=95
ANSWER: The three test scores are 91, 93 and 95.
Hope this helps! :)
Y = x + 2
It starts out at (0,2) which means it needs to be up 2 from the parent graph (y = x). Then using the slope equation, the slope is 1
Answer:
There is no solution to the problem
Step-by-step explanation:
In order to find the solutions to the problem you can write the situation in an algebraic form.
You have that a number is equal to twice a smaller number plus 3. This can be written as follow:
(1)
where x is the number and y is the smaller number
Furthermore, the same number x is equal to twice the sum of the smaller number and 1, which can be written as follow:
(2)
To find the solution you equal the equation (1) with (2), and you solve for y:


You obtain an inconsistency, hence, the situation of the problem does not have solution
Answer:
Step-by-step explanation:
Number of hurricanes in year 2008 = 8
Number of hurricanes in year 2009 = 3
Decrease in number of hurricanes = 8 - 3 = 5
Percent of decrease in number of hurricanes =
= 62.5%
Number of hurricanes in year 2010 = 12
Number of hurricanes in year 2011 = 7
Decrease in number of hurricanes = 12 - 7 = 5
Percentage decrease in number of hurricanes =
= 41.7%
Decrease in numbers of hurricanes in year 2010 - 11 was same as in year 2010 - 11.
Percentage decrease in hurricanes were more in year 2008 - 09 than percentage decrease in year 2010 - 11.