Answer:
$5
Step-by-step explanation:

The item is discounted by $5 per week.
Answer:
128 adults
Step-by-step explanation:
$ 1232 ÷ $ 9.60
= 128
Answer:100
Step-by-step explanation:
There are ten total people:
10C3
10!/(7!×3!) = 120
Note: but that includes all the cases where there are no senior partners
So firstly let figure out the number of cases where there are no senior partners
because there are 6 junior partners
6C3
= 6!/(3!×3!) = 20
120 - 20 = 100 or the number of possible groups where there is at least 1 senior partner.
You need 6 packages because 5 packages wont be enough pencils for all of the students. You see, 5 times 5 is 25, and we have 27 students. So we buy 6 and have extra.
Hey there! :D
The biggest thing to remember here is the similar triangles and their side lengths.
Okay, so we can separate these triangles into 3 similar triangles. Which, we only need to do that to two for a proportion, but if you were to have more variables, you could separate the triangles even more if you needed to.
We want to find two triangles that have "x" has a value of their side, so we can solve a proportion.
The bigger triangle, (the whole two triangles combine) and the smaller triangle on the left can be used to make a proportion.
On the smaller triangle:
We have 9 cm on the shorter side and x as the hypotenuse.
On the larger triangle:
We have x as the shorter side, and then 25 as the hypotenuse. (9+16)
Note: You have to flip the larger triangle upside down to make it a similar structure to the other two triangles. It is similar, you just have to flip it.
So, now we can make a proportion.

Now, cross multiply.
9*25= 225
x*x=

So, find the square root.
√225= 15
x= 15. I hope this helps!
~kaikers