Answer:
10 + 20 = 30
Step-by-step explanation:
If you subtract 5 from 25 you get 20 which is the length distance from b to c. Let's do the same to 15, 15 - 5 = 10. So now let's add our given lengths: 10 + 20 = 30.
<em>The question doesn't ask anything in particular, I will show the set of inequalities defined in the problem.</em>
Answer:
<em>System of inequalities:</em>


Step-by-step explanation:
<u>Inequalities
</u>
The express relations between expressions with a sign other than the equal sign. Common relationals are 'less than', 'greater than', 'not equal to', and many others.
The gardening club at school has 300 square feet of planting beds to plant cucumber and tomato. Each cucumber plant requires 6 square feet of growing space and each tomato plant requires 4 square feet of growing space. We know the total area cannot exceed 300 square feet, so

Being c and t the number of cucumber and tomato plants respectively.
We also know the students want to plant some of each type of plant and have at least 60 plants. This lead us to more conditions

<em>Note: The set of inequalities shown is not enough to uniquely solve the problem. We need something to maximize or minimize to optimize c and t</em>
Answer: it will take 9 hours to empty the pool.
Step-by-step explanation:
The pool is shaped like a rectangular prism with length 30 feet, wide 18 ft, and depth 4ft. It means that when the pool is full, its volume is
30 × 18 × 4 = 2160 ft³
If water is pumped out of the pool at a rate of 216ft3 per hour, then the rate at which the water in the pool is decreasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence(initial amount of water in the pool when completely full).
d represents the common difference(rate at which it is being pumped out)
n represents the number of terms(hours) in the sequence.
From the information given,
a = 2160 degrees
d = - 216 ft3
Tn = 0(the final volume would be zero)
We want to determine the number of terms(hours) for which Tn would be zero. Therefore,
0 = 2160 - 216 (n - 1)
2160 = 216(n - 1) = 216n + 216
216n = 2160 - 216
216n = 1944
n = 1944/216
n = 9
Answer:

Step-by-step explanation:
Since there are 360 degrees in a circle, we can set up the following proportion:
