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ASHA 777 [7]
3 years ago
12

A cinema has three screens.

Mathematics
1 answer:
lidiya [134]3 years ago
7 0

Answer:

200 are on screen 1

125 are on screen 2

175 went to screen 3

Step-by-step explanation:

10% is 50 so 50 x 4 =200

25% of 500 is 12, divide 500 by 4

35% is 25% + 10% = 125 + 50 = 175

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Simplify the radical expression. Use absolute value symbols if needed.
sergejj [24]

Answer: CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC

Step-by-step explanation: HOPE IT HELPS YOU

8 0
3 years ago
The difference of three times a number and 1 is the same as twice the number find the number
zysi [14]
3x - 1 = 2x
3x = 2x + 1
3x - 2x = 1
x = 1
6 0
3 years ago
Jessica Reads a story about a turtle that swam 16 feet in 24 seconds. She assumes that the time that it takes the turtle to swim
Zigmanuir [339]

Answer:

Time (secs) => distance (ft)

1 => ⅔

15 => 10

24 => 16

45 => 30

Step-by-step explanation:

Equation to represent this proportional relationship is d = tk, where,

t = time

d = distance

k = constant of proportionality

To complete the table, let's find k given that the turtles swarm 16 ft (d) in 24 secs (t).

Substitute d = 16, t = 24 into the equation.

d = tk

16 = 24k

\frac{16}{24} = k (division property of equality)

\frac{2}{3} = k

Let's complete the table by substituting the value of k and the other given value of t or d, as the case may be:

For 1 sec, let's find distance (d):

d = tk

d = 1*\frac{2}{3}

d = ⅔ ft

For 10 ft, let's find the time (t) taken:

d = tk

10 = t*\frac{2}{3}

Multiply both sides by 3

10*3 = t*\frac{2}{3}*3

30 = t*2

Divide both sides by 2

\frac{30}{2} = \frac{t*2}{2}

15 = t

t = 15 secs

For 45 secs, let's find distance (d):

d = tk

d = 45*\frac{2}{3} = 15*2

d = 30 ft

5 0
3 years ago
SEE ATTACHED
fenix001 [56]
To me personally, the first bit f(g(x)) is easy and the domain is tricky. Let's try explain this.

A function takes an input number and returns an output number depending on the function. Look at f(x) = x+3, if we let the input number be 2 then we say that f(2) = 5. We could do f(π) to give us π+3 or even f(x²) to give us x² +3. The trick is to substitute the input into the function equation.

You have been asked to find f(g(x)). You know f(x) = \frac{1+x}{1-x}. Putting numbers in at this point would be easy (try work out f(2), you'll do it really quick) but you have to put in g(x).

f(g(x)) = \frac{1+g(x)}{1-g(x)}
we also know that g(x) = \frac{x}{1-x} so we can say that
f(g(x)) = \frac{1+ \frac{x}{1-x} }{1- \frac{x}{1-x} } and that is f(g(x)) but the question requires that we simplify it so
\frac{1+ \frac{x}{1-x} }{1- \frac{x}{1-x} }  =  \frac{ \frac{1-x}{1-x} +  \frac{x}{1-x} }{ \frac{1-x}{1-x} - \frac{x}{1-x} } =  \frac{ \frac{1}{1-x} }{ \frac{1-2x}{1-x} } =  \frac{1}{1-2x}

f(g(x)) = \frac{1}{1-2x}

Now for the tricky bit (for me, at least). The domain is the full set of values that you can 'put in to' the function and still get a real value out. So how do we work out what numbers 'break' the function? I like to use the fact that DIVIDING BY ZERO IS IMPOSSIBLE. What value of x can we put into the function to make it so the function is being divided by 0? i.e. 1-2x = 0 solve that and you have a value of x that isn't part of the domain.

This means the domain is all real numbers EXCEPT the solution to that equation. (Because if we put that value into f(g(x)) it's impossible to get a value out.)

[I know this was a lot to read, if you have any questions or don't get anything feel free to message me or leave a comment.]

5 0
3 years ago
2. Which statement is true of points X and Y
Delvig [45]

Answer:

c

Step-by-step explanation:

5 0
3 years ago
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