Answer: 7 cars
Step-by-step explanation: Since he earned 400$ a week and he had 1450$ by the end, subtract 1450-400 and you get 1050. You then divide 1050 by 150 (1050÷150) and you get 7, so he sold 7 cars
6 weeks is the least and use 46+14x=138
The formula of the area of a trapezoid is equal to:
Area = (a+b) / 2 * h
Substituting the values.
9 = (2.4 + 3.6) / 2 * h
9 = 6 / 2 h
9 = 3h
h = 3
So the height of the trapezoid is equal to 3m.
If you have a number x then the consecutive number is x+1
the multiplication of two consecutive numbers can then be written as x*(x+1)=...
if you find an integer solution for this equation you can write the number as two consecutive integers multiplied with each other, if not you found the exception you are looking for
E)
x(x+1)=9900
x²+x=9900
-> complete square
x²+x+(1/2)²=9900+(1/2)²
(x+(1/2))²=9900+(1/4)
x+(1/2)=sqrt(9900+(1/4))
x=sqrt(9900+(1/4))-(1/2)
x=99
->9900=99*(99+1)=99*100
if we replace 9900 in the last lines with the other numbers we can check them quickly too:
F)
x=sqrt(15750+(1/4))-(1/2)
x=125
->15750=125*(125+1)=125*126
G)
x=sqrt(20448+(1/4))-(1/2)
x=142.497...
->not an integer
->can not be written as two consecutive numbers multiplied
H)
x=sqrt(38612+(1/4))-(1/2)
x=196
->38612=196*(196+1)=196*197
so G is the only number which can not be written as two consecutive integers
