Answer: 113=53 (This is a false equation, meaning that both sides are not equal to each other)
Explanation: I’m not sure what your answer choices are but to get that answer I first rewrote the equation with the variable “m” replaced with 6 since m=6. Therefore it should be 18(6)+5=6(6)+17. Then I multiplied 18 by 6 to get 108, to then add 5 to get 113. Following that, i then multiplied 6 by 6 to get 36 then added 17 to get 53. The equation would then look like 113=53 when solved.
There are several information's already given in the question. Based on those information's the answer can be detrmined.
Smaller of the two integers = n
Larger of the two integers = n + 1
Then
(1/2) * [(n) * ( n + 1)] = 105
(1/2) * (n^2 + n) = 105
m^2 + n = 210
n^2 + n - 210 = 0
From the above deduction, it can be concluded that the correct option among all the options that are given in the question is the first option or option "A".
Hey there :)
Now lets name each house
A B C D E F
500ft <-> 500ft <-> 500ft <-> 500ft <-> 500ft <-> 2000ft
Let's say the bus stops at A
= 0 ( from A ) + 500 ( from B ) + 500 + 500 ( from C ) + 500 + 500 + 500 ( from D ) + 500 + 500 + 500 + 500 ( from E ) + 500 + 500 + 500 + 500 + 2000 ( from F )
= 0 + 500 + 1000 + 1500 + 2000 + 4000
= 9000 ft
at B
= 500 ( from A ) + 0 ( from B ) + 500 ( from C ) + 500 + 500 ( from D ) + 500 + 500 + 500 ( from E ) + 500 + 500 + 500 + 2000 ( from F )
= 500 + 0 + 500 + 1000 + 1500 + 3500
= 7000 ft
at C
= 500 ( from A ) + 500 + 500 ( from B ) + 0 ( from C ) + 500 ( from D ) + 500 + 500 ( from E ) + 500 + 500 + 2000 ( from F )
= 500 + 1000 + 0 + 500 + 1000 + 3000
= 6000 ft
Do the same for D , E and F
at D
= 6000 ft
at E
= 7000 ft
at F
= 15000 ft
You will find that the bus should stop at either C or D to make the sum of distances from every house to the stop as small as possible.
An athletic director pays $90 for 12 sun visors for the
softball team. The rate per sun visor is equal to $90 / 12 sun visor = $ 7.5
per sun visor. So the athletic director should pay ($ 7.5 per sun visor)*(15
sun visor) = $ 112.5
13.5 * 12.2 = 164.7 i think that's the answer
