Answer:
64/3 tablespoons of sugar for 32 ounces of water
Step-by-step explanation:
In these kinds of questions it is nice to find how muc of 1 thing there is for every ONE of another. so 8 tablespoons of sugar for 12 ouncesof water you can divide both sides by 8 or 12.
Dividing it by 8 gets 8/8 = 1 tablespoon of sugar for 12/8 = 1.5 ounces of water.
Dividing by 12 gets 8/12 = 2/3 tablespoon of sugar for 12/12 = 1 ounce of water.
Now you can take one or the other and multiply it to fit whichever you want to fit a ratio.
It asks what happens if you use 32 ounces of water, so lets use the ratio where we hae 1 ounce, then multiply everything by 32.
2/3 tablespoon of sugar for 1 ounce of water
Multiply by 32 and you get 32*(2/3) = 64/3 tablespoons of sugar for 32 ounces of water
Answer:
Step-by-step explanation:
Factorize:
<u>Factor Theorem</u>
If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).
Substitute x = 1 into the function:
Therefore, (x - 1) is a factor.
As the polynomial is cubic:
Expanding the brackets:
Comparing coefficients with the original polynomial:
Therefore:
Cannot be factored any further.
For this case we have that by definition it is fulfilled:
Where:
a: It is the base
b: It is the exponent
So, if we have the following expression:
-6 to the power of 4, is equivalent to: 
So we have to:
-6: It is the base
4: It is the exponent
Answer:
-6: It is the base
4: It is the exponent
X = 20 degrees
Y = 30
This is acute triangle so all the sides and angles are the same. Subtract 16 from 46 and you receive 30 for y. For the corresponding angle, subtract 80 from 180. Then add 60 to that and subtract that from 180 for x.
12x-27=2x+12
10x-27=12
10x=39
x=3.9
