Answer:
k = - 8
Step-by-step explanation:
Subtract 9 from both sides to get the constants on one side and the variables on the other
9 - 2k = 25
- 2k = 25 - 9
Simplify
- 2k = 16
Divide by -2 on both sides to isolate the variable, then simplify once more.
- 2k/ -2 = 16/ -2
k = 16/ -2
k = -8
Answer:
he has 48 dollars left to spend on clothes
Answer:
20%
Step-by-step explanation:
In the graph, there is a cycle of increasing and decreasing. First, the original circle increases by 25% into the new, larger circle. Then, the circle does back to its original size. So, to solve we can assign a value to the smaller circle, increase it by 25%, and then find what percentage brings this back to the original value.
It is easiest to assign the value of 100 because it is easy to work with. So, let's say the smaller circle is 100; this increased by 25% is 125. The next step is to find what percentage of 125 brings us back to 100. There are multiple ways to do this such as guess and check or proportions/fractions. Either way, the correct percentage is 20%. If you decrease 125 by 20% you get the correct value of 100. This means that the missing number must be 20%.
The lowest common denominator is 21
Answer:
Shown
Step-by-step explanation:
Given that twelve basketball players, whose uniforms are numbered 1 through 12, stand around the center ring on the court in an arbitrary arrangement.
Let us consider consecutive numbers in this set.

After this we find the totals are more than 20.
When 1 to 12 are arbitrarily arranged, there are chances that numbers from 6 and above are having consecutive numbers.
These totals are greater than 20
Hence shown that some three consecutive players have the sum of their numbers at least 20.
(i.e. starting from if we take)