First off, consecutive integer and can be written as n, n+1 and n+2
(try putting a number in for n if it does not make sense yet)
The sum of the first and twice the second would be n+2(n+1)
So, our equation becomes
n+2(n+1)=110-3(n+2)
n+2n+2=110-3n-6
3n+2=104
6n=102
n=17
so, our three term are 17,18 and 19
Answer:
6 inches
Step-by-step explanation:
The formula for volume is length*width*height. Following this,
7*4*h=168
28h=168
h=6
Answer:
The standard form is: y = -3x² +18x -24.
Step-by-step explanation:
Given is y = -3(x-2)(x-4)
Using FOIL method to expand the parentheses:-
y = -3(x-2)(x-4)
y = -3(x² -2x -4x +8)
Combining like terms:-
y = -3(x² -6x +8)
Distributing -3 to the terms inside parentheses:-
y = -3x² +18x -24.
Hence, standard form is: y = -3x² +18x -24.
Answer:
There was 5% increase in visitors from last year to this year.
Step-by-step explanation:
Given:
Number of Visitors at theme park last year = 2000000
Number of Visitors at theme park this year = 2100000
We need to find the percent increase in visitors from last year to this year.
First we will find Number of increase in visitors from last year to this year.
Number of increase in visitors is equal to Number of Visitors at theme park this year minus Number of Visitors at theme park last year.
Framing in equation form we get;
Number of increase in visitors = 2100000 - 2000000 = 100000
Now Percent of increase in visitors is can be calculated by dividing Number of increase in visitors with Number of Visitors at theme park last year and then multiplied with 100.
Framing in equation form we get;
Percent of increase in visitors = 
Hence There was 5% increase in visitors from last year to this year.
Well how many hours did they drive? we need that info