<h3>Answer:</h3>
87.5 ounces
<h3>Explanation:</h3>
There's a cute "X-diagram" tool that can be used for solving mixture problems of all kinds. (See the attachment.) The numbers on the left represent the percentages of the constituents of the mix. The number in the center is the desired percentage in the resultant mix. The numbers on the right in the X are the differences along the diagonals. (6-5=1, 5-3=2)
These are also the proportions of the constituents in the final mix. That is, there are 2 parts of spice that is 6% salt for each 1 part of spice that is 3% salt. So, we need half as much of the latter as the former.
Half of 175 ounces is 87.5 ounces, the amount of 3% spice that is needed.
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If you really want to write an equation, you can let x represent the amount of 3% spice needed. Then the amount of salt in the mix is ...
... 175×6% +x×3% = (175+x)×5%
Dropping the percent symbols and eliminating parentheses, we have
... 1050 +3x = 875 +5x
... (1050 -875) = (5x -3x) . . . . . add -875-2x
... 175/2 = x = 87.5 . . . . . . . . . . divide by the coefficient of x
The value of f·g is the product of f(x) and g(x). This is shown below,
f·g = (3x + 2)(7x +6)
f·g = 21x² + 32x + 12
The domain of the function is the value of x that would make the function reasonable. The domain is all real numbers.
Answer:
28 4/9oz.
Step-by-step explanation:
I'd convert this to ounces. A gallon is 128oz.
2x128=256
Now, divide by 9.
256/9≈28.44oz., or 28 4/9 oz.
Answer:
79
Step-by-step explanation:
there are no other factors everything else can factor in 5 or 3
The answer is 3.71%
Given: .62 probability of reaching 75 years old and 0.023 probability of reaching 85 years old
Since Mr. Clooney already reached 75 years old, we'll divide the probability of reaching 85 by the probability of reaching 75.
<span>.023 / .62 = .0370967742 x 100 = 3.71%
Why? </span><span>Assume there are 1000 men who were born at the same time.
0.62 * 1000 = 620 of them will make it to 75.
0.023 * 1000 = 23 of them will make it to 85.
The proportion of those who will make it to 85 assuming that they already made it to 75 will be 23 / 620 = 0.0370967742 (same as above)</span>
