I always feel drawn to the number 2 for some reason because it is in the middle between 2 and four and usually when given an option to pick a number I never pick a number that they say. Personally I just feel drawn to pick the number 2 its a nice even number and perhaps could be lucky :)
2(6y - 5) - 3y = 2
12y - 10 - 3y = 2
9y - 10 = 2
9y = 12
y = 4/3, or 1 1/3
2x - 3(4/3) = 2
2x - 12/3 = 2
2x - 4 = 2
2x = 6
x = 3
Set it up with variables; tomatoes=t, sunflowers=s, corn=c
320=t+s+c
This year;
t=2s
c=t+40
so, replace 2s for t; c=2s+40
now we can put those factors in for 320=t+c+s
320= 2s+2s+40+s
(SIMPLIFY)---> 320=5s+40----> 5s+280----> s=56
now incorporate the s value into the other equations.
c=2s+40----> c=56(2)=40 ----> c=152
t=2s -----> t=2(56) ----> t=112
TOMATOES= 112 acres
CORN= 152 acres
SUNFLOWERS= 56 acres
To check your work: 320=t+s+c ----> 320=112+156+56
Answer: 6
Step-by-step explanation:
There are 6 different combinations of choices for the date:
- Thai food, movie
- Thai food, ice skating
- Thai food, art museum
- Italian food, movie
- Italian food, ice skating
- Italian food, art museum
An easier way to solve for this is multiply by how many choices are in each category.
In food there is 2 choices, in activities there is 3 choices
Therefore: 2 x 3 = 6
