Answer:
40 students choose Papa John's, and 24 did not
Step-by-step explanation:
This question can be solved by proportions, using rule of three.
For each 8 students, 5 chose Papa John's. Out of 64, how many choose?
5 - 8
x - 64
Applying cross multiplication

Simplifying by 8

40 students choose Papa John's.
In all, there are 64 students, so 64 - 40 = 24 did not
Answer:
x = 1, y = 2
Step-by-step explanation:
Original equations:

Substitute y and solve for x:





Plug in x to solve for y:


x = 1, y = 2
Note: You can also substitute x and solve for y, then plug in y to solve for x. I did not do that here.
Answer:
Third choice:

Explanation:
<u />
<u>1. Data:</u>
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- Cobalt-60's half-life: 5.3 years
- Initial mass of cobalt-60: 50 mg
<u>2. Unknown: </u>
<u />
- equation for the mass of cobalt-60 remaining after 10 years = ?
<u>3. Solution</u>
<em>Half-life</em> is the time it takes a sample to decay to half of its initial amount. It is considered constant. Hence, when one half-life passes, the sample has decayed to 50% of the original amount; when two half-lives pass, the sample has decayed to (1/2)×(1/2) = 1/4 = 25%; when three half-lives have elapsed, the sample has decayed to (1/2)³ = 1/8 = 12.5% of its original amount, and so on.
Then, the amound of a sample remaining is calculated as the original amount times (1/2) raised to the number of half-lives elapsed, which is what the given function,
models.
You just must substitute the data into the function to get the answer to the question:

Where, 50 is the original mass of 50g, 0.5 is equal to 1/2, and 10/5.3 gives the number of half-lives (the number of times that 5.3 years is contained in 10 years).
<u>Simplifying:</u>

Which corresponds to the third choice of the list.
<u>Computing:</u>

Which also corresponds to the third choice.
Answer:
Step-by-step explanation
cross-section is 10 inches by 16 inches
area = 10*16 = 160 square inches
Answer:
A
Step-by-step explanation:
The parabola ends at 4, and therefore the range is all real numbers under 4