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3 years ago

8/9 to what power equals 64/81

Mathematics

2 answers:

Ierofanga [76]3 years ago

7 0

2nd

Step-by-step explanation:

8/9 to the second power equals to 64/81. Hope this helps!

loris [4]3 years ago

7 0

Answer:

x = exponent

64 = 8·8 = 8^2

81 = 9·9 = 9^2

64/81 = 8^2/9^2 = (8/9)^2

(8/9)^2 = (8/9)^x

x = 2

Step-by-step explanation:

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A Broadway theater has 800 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $ 40 comma main

KatRina [158]

Answer:

<em>orchestra seats: main seats: balcony seats: 160: 400: 240</em>

Step-by-step explanation:

Let number of orchestra seats = x

Let number of main seats = y

Let number of balcony seats = z

As per given statement, total seats are 800

$x +y+z=800 ..... (1)$

Sales price of each orchestra seat = $40

Sales price of each main seat = $30

Sales price of each balcony seat = $20

If all the seats are sold, total revenue is $23200.

$\Rightarrow 40x + 30y+20z=23200 ...... (2)$

If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $ 20 comma 000.

$\Rightarrow 40\times \dfrac{x}{2} + 30y+20z=20000\\\Rightarrow 20x + 30y+20z=20000 ...... (3)$

Here, we have 3 variables and 3 equations. Let us solve them.

Subtracting Equation (3) from equation (2):

$\Rightarrow 20x = 3200\\\Rightarrow x = 160$

Putting value of x in equations (1) and (2):

Equation (1)

$\Rightarrow 160 +y+z=800\\\Rightarrow y+z=640 ...... (4)$

Equation (2)

$\Rightarrow 40\times 160 +30y+20z=23200\\\Rightarrow 30y+20z=16800\\\Rightarrow 3y +2z=1680 ...... (5)$

Equation (5) - 2 $\times$ Equation(4):

$\Rightarrow y =400$

Putting value of y in equation (4):

$400 +z = 640\\\Rightarrow z =240$

Hence, answer is:

<em>orchestra seats: main seats: balcony seats: 160: 400: 240</em>

4 0

3 years ago

Please help!!!! I need it quick!!!!

alukav5142 [94]

Answer:

f(4) = 49

f(-3) = -35

Step-by-step explanation:

f(4) = 12(4) + 1 = 48 + 1 = 49

f(-3) = 12(-3) + 1 = -36 + 1 = -35

7 0

3 years ago

5x + 2y = 8

stich3 [128]

The answer should be c.

3 0

3 years ago

Read 2 more answers

What is 4.22 x 10^17 seconds

Allushta [10]

We can rewrite the given time as:

7.03x10^15 mins
1.17x10^14 hours.
4.88x10^12 days.

<h3>What is 4.22x10^17 seconds in minutes and hours?</h3>

First, remember that:

60s = 1 min

Then to write that amount in minutes, we just need to divide by 60, so we get:

(4.22x10^17)/60 mins= 7.03x10^15 mins

Now, remember that:

1 hour = 3600s

Then to get the time in hours, we need to divide by 3600:

(4.22x10^17)/3600 h = 1.17x10^14 hours.

Similarly, you can change to any time unit that you want, for example:

1 day = 24*3600 s

Then the time in days is:

(4.22x10^17)/(24*3600) days = 4.88x10^12 days.

And so on.

If you want to learn more about changes of units:

brainly.com/question/9032119

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8 0

1 year ago

Help!Write the equation in slope- intercept form of the line that passes through (−1, 11) and is parallel to the graph of y = −8

love history [14]

Answer:

y = -8x + 3

Step-by-step explanation:

plug in the point and the slope into the slope intercept formula (y=mx+b)

the slope will be the same since you want the line to be parallel

11 = -8(-1) +b now solve for b

11 = 8 + b

-8 -8

3 = b

now write the equation with only the slope and the y intercept

y = -8x + 3

6 0

3 years ago