Answer:
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Step-by-step explanation:
Answer:
She should sell 20 band posters from total 80 to keep the maintain the same ratio.
Step-by-step explanation:
The total number of movie posters collector has = 120
The total number of band posters collector has = 80
The current ratio of movie poster : band poster = 120 : 100
or, reducing the ratio further, we get
ratio of movie poster : band poster = 6 : 5 ...... (1)
Now, the number of posters she wants to sell = 24
So, the remaining movie poster left = 120 - 24 = 96
Let us assume she sells m band posters to keep the ratio equal.
So, the number of band posters she is left with = 100 - m
⇒The ratio of movie poster left : band poster left = 96 : 100 - m .. (2)
Now here as the ratio remains same after selling m band posters, so
or, m = 20
Hence, she should sell 20 band posters from total 80 to keep the maintain the same ratio.
Answer:
5x pounds
Step-by-step explanation:
Here's the solution if you need, hope it's help
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.
If angles are the same, then their opposite edges also the same. So 2x-6 = x
If you solve it you will find x=6