Answer:
There are 32 pupils in the class
Step-by-step explanation:
Let's say there are N pupils in the class. Then each pupil must send N-1 cards - because it would make no sense to send one to themselves! So each of the N pupils send N-1 cards, which becomes 992 cards in total. In equation form, this is

This is a second degree polynomial, which has the solutions

where 
If we insert these numbers in the equation,

If we choose the solution with the minus sign, we get
N=-31
but this makes no sense! There can't be a negative number of pupils in the class!
So we choose the solution with the plus sign,

So there are 32 pupils in the class
A slice of a right rectangular pyramid parallel to its basesince parallel to the base it should have the same figure to the base which is rectangle.
a slice of a right square pyramid perpendicular to its base but not through its top vortex. since not to the vortex, it will form a trapezoid
a slice parallel to the base of a right rectangular prism with a square basesince parallel to the base it should have the same figure to the base which is square
Answer:
h= 5.11 ft (nearest hundredth)
Step-by-step explanation:
Please see attached pictures for full solution.
3/1x -2 or in other words 3x - 2
Answer:
179/1.60934 miles then divide to get the whole number/ decimal.
Step-by-step explanation:
A quick search tells me there are 1.60934 km in 1 mile.
To convert from one unit to another there is a super simple method. Set up a fraction with the two values, so in this case 1/1.60934 or 1.60934/1. Which do you use? well it depends which you are tryng to convert.
1.60934/1 has the units km/miles so since miles is on the bottom we would use it to convert miles. That's hat you have to look at, what is in the denominator. Since we are converting 179 km we want km on the bottom.
So we use 1/1.60934 instead because the units are miles/km. now you just multiply the 179 by the fraction. so the answer is 179/1.60934 miles.
Now it says we need a whole number of decimal, can you handle the division?