2.) johnny has half a tablespoon of food coloring and a third a tablespoon of vanilla.
how many more tablespoons of food coloring does he have than vanilla extract?

You'll have 1/6 more food coloring than vanilla.

Step-by-step explanation:

You need to find the common denominator of 1/3 and 1/2, so multiply each denominator by each other. You'll have 3/6 food coloring and 2/6 vanilla, which means you'll have 1/6 more food coloring than vanilla.

1/6 tablespoon

Step-by-step explanation:

subtract 1/3 from 1/2 then convert to a common denominator

now you have 3/6 - 2/6.

Which is 1/6 tablespoon

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."

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d