7times as much as the sum of 1/3 and 4/5

First we need to make the fractions "compatible" for adding them easily, we can do that by equating their denominators using the common minimum multiple of their denominators 3 and 5 which is 15, so we have to multiply and divide to not modify them for a correct number, lets show that up:
1/3 = (5/5)(1/3) = 5*1/5*3 = 5/15, therefore: 1/3 = 5/15
4/5 = (3/3)(4/5) = 3*4/3*5 = 12/15, therefore 4/5 = 12/15
now we do the sum first:
1/3 + 4/5
= 5/15 + 12/15
= 17/15
and finally we multiply by 7
7*(17/15) = 119/15

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

when multiplying or dividing by a negative on both sides you have to flip the inequality sign. this rule only applies to multiplying or dividing by a negative number in inequality equations. this rule is really important.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

38 dollars is your answer.