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ryzh [129]
3 years ago
9

There are 40 female performers in a dance recital. The ratio of men to women is 3:5. How many men are in the dance recital?

Mathematics
1 answer:
Savatey [412]3 years ago
8 0
There are twenty-four [ 24 ] men
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Hello i would like help and the answer to this please; what is the nth term rule of
Paraphin [41]

Answer:

The nth term of the given sequence

a_{n} = a_{n-1} + (2n-1)

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given sequence  -5,-4,-1,4,11,20,31

a₀ = -5

a₁ = a₀ +1 = -5 +1   = -4

a₂ = a₁ + 3 = -4+3  = -1

a₃ = a₂ + 5 = -1 +5 = 4

a₄ = a₃ + 7 = 4 + 7  =11

a₅ = a₄ + 9 = 11+9 = 20

a₆ = a₅ + 11 =  20+11 = 31

a₇ = a₆ + 13 = 31 +13 =44

and so on

The nth term of the given sequence

a_{n} = a_{n-1} + (2n-1)

7 0
3 years ago
At a​ school, 102 students play at least one sport. This is 40​% of the students at the school. How many students are at the​ sc
viktelen [127]
To get from 40% to 100%, divide by 2 and multiply by 5.
I.e. 40/2 = 20
20 x 5 = 100%

Do the exact same for 102
102/2 = 51
51 x 5 = 255 students
5 0
3 years ago
Read 2 more answers
$1.5 x 10^13 in decimal
inna [77]
The answer is 15,000,000,000,000
8 0
3 years ago
Which two functions are inverses of each other?
liraira [26]

Answer:

Option 3 - f(x)= 4x, g(x) = \frac{1}{4}x

Step-by-step explanation:

To find : Which two functions are inverses of each other?

Solution :

Two functions are inverse if f(g(x))=x=g(f(x))

Now, we find one by one

1) f(x)= x, g(x) = -x

f(g(x))=f(-x)=-x\neq x

Not true.

2) f(x)= 2x, g(x) = -\frac{1}{2}x

f(g(x))=f(-\frac{1}{2}x)=2\times(-\frac{1}{2}x)=-x\neq x

Not true.

3) f(x)= 4x, g(x) = \frac{1}{4}x

f(g(x))=f(\frac{1}{4}x)=4\times(\frac{1}{4}x)=x

g(f(x))=f(4x)=\frac{1}{4}\times 4x=x

i.e. f(g(x))=x=g(f(x)) is true.

So, These two functions are inverse of each other.

4) f(x)= -8x, g(x) =8x

f(g(x))=f(8x)=8\times(-8x)=-64x\neq x

Not true.

Therefore, Option 3 is correct.

6 0
3 years ago
I really need help :(
zavuch27 [327]

Answer:

Amira used 4 balloons for each balloon animal.

Step-by-step explanation:

From the table, we can conclude that:

For 20 animals being sold by her,  the leftover balloons were 180.

Then there is an increase in the number of animals being sold. She now sells 29 animals. So, the increase in animals being sold is given as:

29 - 20 = 9.

So, 9 more animals were sold. The balloons used for these 9 animals can be obtained by taking the difference of the leftover balloons for the two days.

The difference of the leftover balloons = 180 - 144 = 36.

So, 36 balloons were used for selling 9 more animals.

Similarly, there is an increase of another 9 animals when 38 animals were sold as 38 - 29 = 9. Also, the balloons used in this case is 36 only as the difference of the leftover balloons is 36.

144 - 108 = 36

Therefore, we conclude that for selling 9 balloon animals, Amira used 36 balloons.

Number of balloons used for 9 balloon animals = 36

∴ Number of balloons used for 1 balloon animal = \dfrac{36}{9}=4 (Unitary method)

Thus, Amira used 4 balloons for each balloon animal.

7 0
3 years ago
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