At the county fair, the baxter family bought 6 hot dogs and 4 juice drinks for $13.50. the farley family bought 3 hot dogs and 4 juice drinks for $8.85. find the price of a hot dog and the price of a juice drink. what is the price of the hot dog and the price of the juice drink is $

The answer would be:

Hotdogs: $ 1.95

Drink: $ 1.25

Here’s how you solve it!

Let h represent hotdogs and d represent drinks

6h ➕ 4d = 16.70

-1 (3h ➕ 4d = 10.85)

-1 goes into all 3 numbers So your equation looks like this:

-3h ➖ 4d = -10.85

Then subtract the numbers and you will end up with:

3h = 5.85

Now divide both sides by 3

h = $1.95

Now to solve for d

6 (1.95) ➕4d = 16.70

11.70 ➕ 4d = 16.70

-11.70 ➕ 4d = -11.70

Once you subtract you will get:

4d = 5.00

Now divide both sides by 4

d = $1.25

Therefore hotdogs cost $1.95 and drinks cost $1.25

Hope this helps! :3

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."