The question is what numbers satisfy A ∩ C.
The symbol ∩ means intersection, .i.e. you need to find the numbers that belong to both sets A and C. Those numbers might belong to the set C or not, because that is not a restriction.
Then lets find the numbers that belong to both sets, A and C.
Set A: perfect squares from A to 100:
1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
5^2 = 25
6^2 = 36
7^2 = 49
8^2 = 64
9^2 = 81
10^2 = 100
=> A = {1, 4, 9, 16, 25, 36, 49, 64, 81, 100}
Set C: perfect fourths
1^4 = 1
2^4 = 16
3^4 = 81
C = {1, 16, 81?
As you see, all the perfect fourths are perfect squares, so the intersection of A and C is completed included in A. this is:
A ∩ C = C or A ∩ C = 1, 16, 81
On the other hand, the perfect cubes are:
1^3 = 1
2^3 = 8
3^3 = 27
4^3 = 81
B = {1, 8, 27, 81}
That means that the numbers 1 and 81 belong to the three sets, A, B, and C.
In the drawing you must place the number 16 inside the region that represents the intersection of A and C only, and the numbers 1 and 81 inside the intersection of the three sets A, B and C.
Answer:
Step-by-step explanation:
Alright, lets get started.
The original photo size is 4 inches wide and 6 inches tall.
So, the ratio of width and height will be = 
The new enlarged photo will be of the same ratio means 2:3
The width of enlarged photo is given as 12 inches.
Suppose new height of enlarged photo is H, so
Cross multiplying
Dividing 2 in both sides
inches
So the height of new enlagred photo will be 18 inches. : Answer
Hope it will help :)
Answer:
Help with what?
Step-by-step explanation:
Answer:
There would need to be at least 1,800 entries in order for them to meet their goal.
Step-by-step explanation:
To find this, we must write an equation that helps solve it. We know that for every entry (x), we gain 75 and lose 25. We can express this as the following.
75x - 25x
Then we can add the number of donations.
75x - 25x + 10,000
Then we can set it as greater than or equal to the goal number.
75x - 25x + 10,000 ≥ 100,000
Now we solve this using the order of operations.
75x - 25x + 10,000 ≥ 100,000 ----> Combine like terms
50x + 10,000 ≥ 100,000 ------> Subtract 10,000
50x ≥ 90,000 -----> Divide by 50
x ≥ 1,800
