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Umnica [9.8K]
3 years ago
7

The ratio of muscisians to actors was 2 to 5. If there were 28 musicians, how many actors were there?

Mathematics
1 answer:
julsineya [31]3 years ago
5 0
2•14=28 which is the musicians

5•14=70 which would be the actors

The ratio would be 28:70
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1. Which is greater 25% of 90 or 28% of 82.
rosijanka [135]

Answer:

28% of 82

Step-by-step explanation:

25% of 90 is 22.5

28% of 82 is 22.96

4 0
3 years ago
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Mr smith likes small oranges he likes to eat some everyday over the summer he will eat 3 oranges a day on the days with a “t” in
faltersainse [42]

Answer:

Step-by-step explanation:

Days with t are: Tuesday, Thursday and Saturday.

In the period of time given there are 20 T days (20 x 3 = 60 oranges)

In the period of time given there are ? no T days (27 x 2 = 54 oranges)

60 + 54 = 114 Oranges eaten over the school holidays

8 0
3 years ago
If f (x) = 5 x minus 25 and g (x) = one-fifth x + 5, which expression could be used to verify g(x) is the inverse of f(x)?
gayaneshka [121]

Answer:

f(g(x))=x

Step-by-step explanation:

Given a certain function f(x), and then its inverse function f^{-1}(x), the following expression is valid:

(f\cdot f^{-1})(x)=x

where the expression

(f\cdot f^{-1})(x)=f(f^{-1}(x))

indicates the composite function.

In this problem, we have:

f(x)=5x-25

And then, its inverse function is

g(x)=\frac{1}{5}x+5

To verify that g(x) is the inverse of f(x), the following expression must be true:

f(g(x))=x

Substituting the expression of g(x) into f(x), we find that:

f(g(x))=5g(x)-25=5(\frac{1}{5}x+5)-25=x+25-25=x

So, g(x) is the inverse of f(x).

6 0
3 years ago
Read 2 more answers
Three coins are dropped on a table.
Dominik [7]

Answer:

(a) S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

(b) \frac{1}{8}

(c) \binom{3}{2} (\frac{1}{2})^3 = \frac{3}{8}

(d) (\frac{1}{2})^3 + \binom{3}{1} (\frac{1}{2})^3 = \frac{1}{8} + \frac{3}{8} = \frac{1}{2}

(e) 1 - \frac{1}{2} = \frac{1}{2}

(f) Yes, because P(A \cap B) = 0. Therefore P(A \cup B) = P(A) + P(B) = \frac{3}{8} + \frac{1}{2} = \frac{7}{8}

(g) No, because P(A \cap C) = \frac{3}{8}. Therefore P(A \cup C) = P(A) + P(C) - P(A \cap C) = \frac{3}{8} + \frac{1}{2} - \frac{3}{8} = \frac{1}{2}

8 0
3 years ago
Help on 22 and 23 please
hram777 [196]

Answer:

22.

R= -8, 15

S= -5, 9

T= -8,9

23.

J = 4, 4

K = 4, 3

L = 1, 1

M = 1, 4

Step-by-step explanation:

rotation of -90= y, -x

so R (-7, -5) = -5,7

S (-1, -2) = -2, 1

T (-1, -5) = -5, 1

now we translate 3 left (x-3) and 8 up (y+8)

R (-5, 7) = -8, 15

S (-2, 1) = -5, 9

T (-5, 1) = -8, 9

reflection of x-axis= x, -y

J (-4, 4) = -4, -4

K (-3, 4) = -3, -4

L (-1, 1) = -1, -1

M (-4, 1) = -4, -1

Then a 180° rotation is (-y, -x)

J (-4, -4) = 4, 4

K (-3, -4) = 4, 3

L (-1, -1) = 1, 1

M (-4, -1) = 1, 4

4 0
3 years ago
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