All numbers that fall under this category can be described as 5n+3, where n is a number.
The smallest 3 digit number that fits in the expression 5n+3 is 103. The greatest is 998. The list of these numbers is 103, 108, 111, ...998. The number of numbers in this list is (998-103)/5+1=895/5+1=179+1=180.
Let x be the cost of a kilogram of jelly beans and y the cost of a kilogram of gummy worms. We form two equations:
We have a system of equations now and we solve for x and y.
Subtracting 2x+y=25 from 2x+2y=32, we get y=7. Then we plug the y value into 2x+y=25 to get the value of x.
Therefore jelly beans cost $9 per kilogram and gummy worms $7 per kilogram.
We write Line 1 in slope intercept form.
The slope of line 2 must be 4/3. So we currently have y=4/3x+b. We plug in the given point (-5, 7) to find b.
The equation of line 2 is y=4/3x+41/3. m is 4/3 and b is 41/3. Therefore m+b=4/3+41/3=45/3=15.