Given:
A recipe uses 4 pounds of rice and 5 quarts of boiling water.
To find:
The rate of rice to quarts of water for this recipe.
Solution:
We need to divide the amount of rice by amount of water to get the rate of rice to quarts of water for this recipe.
Therefore, the rate of rice to quarts of water for this recipe is 0.8.
1. You convert all the numbers into decimals.
a. For 8 1/9 you multiply 8x9 and add the numerator which in this case is one, so the equation would be 8x9=72 then 72+1= 73
b. For 81/10 I used a calculator for accuracy and I just divided 81 by 10 because the fraction line can also be used as a division sign. For this I got 8.1
2. Now I looked at all the numbers I had including the fractions I converted to decimals... 8.115, 8.55, 73, and 8.1
3. Lastly, I put the numbers in order from least to greatest: 8.1, 8.115, 8.55, and 73
4. In order to figure out which one is the smallest and largest, I just added zeros on the end of the numbers so they would all be the same: 8.1-->8.100, 8.115 I kept the same because it already had 3 decimal places, 8.55--> 8.550, and 73--> 73.000
5. Then i could tell which number was the largest by the decimal place numbers.
**Hope this was helpful... It's kind of hard to explain online but hopefully you have a better understanding of how to do it!**
Answer:
b = -T²/k(k-m) + k
Step-by-step explanation:
Given the equation T =√k(k-b)(k-m), we are to make b the subject of the formula
Square both sides
T² = (√k(k-b)(k-m))²
T² = k(k-b)(k-m)
T²/k(k-m) = k-b
Rearrange
k - b = T²/k(k-m)
b - k = - T²/k(k-m)
Add j=k to both sides
b - k + k = - T²/k(k-m) + k
b = -T²/k(k-m) + k
This gives the required expression
The answer is C because in y=mx+b form, the “m” stands for the slope.
