Vince's birthday party is going to be at his favorite science museum next weekend. He has 8 friends who want to see the Dinosaur Discovery show and 4 friends who want to see the Wild Weather show. Typically, the Dinosaur Discovery show costs d dollars per ticket, and the Wild Weather show costs w dollars per ticket. But next weekend, all tickets are half price! Pick all the expressions that represent the total cost of his friends' tickets.

See explanation

Step-by-step explanation:

Dinosaur Discovery show = 8 friends

Wild Weather show = 4 friends

Cost of Dinosaur Discovery show = $d

Cost of Wild Weather show = $w

At regular price:

Total cost of his friends' tickets = 8 * d + 4 * w

= 8d + 4w

At half price

Total cost of his friends' tickets =

8 * 1/2d + 4 * 1/2w

= 8/2d + 4/2w

= 4d + 2w

Total cost of his friends' tickets = 4d + 2w

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!