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-Dominant- [34]
3 years ago
5

Make r the subject of the formula t=r/r-3

Mathematics
1 answer:
trapecia [35]3 years ago
6 0

Answer:

r = t(r-3)

Step-by-step explanation:

t = r/r-3

r/r-3 = t

r = t x (r-3)

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The function f(t) = 750t + 20,000 models the number of movie theaters in the United States t years after 1985. Use this equation
Alexandra [31]

Given:

The function models the number of movie theaters in the United States t years after 1985.

f(t)=750t+20,000

To find:

The year in which the United States will have 35,000 movie theaters.

Solution:

We have,

f(t)=750t+20,000

Putting f(t)=35000, we get

35,000=750t+20,000

35,000-20,000=750t

15,000=750t

Divide both sides by 750.

\dfrac{15,000}{750}=t

20=t

It means, United States will have 35,000 movie theaters 20 years after 1985.

1985+20=2005

Therefore, United States will have 35,000 movie theaters is 2005.

8 0
3 years ago
Suppose the total cost for n tickets is $36 what's is the total cost of one more ticket is purchased
arsen [322]
$36/n because since there are n amount of tickets, you should divide $36 by n. I feel like you won't get me. For instance, let's say n is 6 tickets. So if 6 tickets are for $36, you should divide $36 by 6 tickets to find the unit rate. Hope this helps.
7 0
4 years ago
To mix a particular shade of purple paint, red paint and blue paint are mixed in the ratio 5:3. To make 20 gallons of this shade
Gelneren [198K]

Answer:

quantity of red paint =  12.5 gallons

quantity of blue paint =  7.5  gallons

Step-by-step explanation:

Ratio of red and blue paint : 5:3

in ratio

a:b = ax:bx

let the

quantity of red paint be 5x

quantity of blue paint be 3x

then quantity of purple paint = quantity of red paint  + quantity of blue paint

                                                  = 8x

given quantity of purple paint is 20 gallons

thus,

8x = 20

x = 20/8 = 2.5

thus,

quantity of red paint = 5x = 5*2.5 = 12.5 gallons

quantity of blue paint = 3x = 3x*2.5 = 7.5  gallons

4 0
4 years ago
Use the zero product property to find the solutions to the equation x^2-15x-100=0
7nadin3 [17]

Answer:

x = 20 or x = -5

Step-by-step explanation:

To solve the quadratic equation we must factor the expression

Look for 2 numbers that when you multiply them, obtain the result -100 and when you add them, obtain the result -15.

You can verify that these numbers are -20 and 5

-20 +5 = -15\\\\-20 * 5 = -100

Then the polynomial factors are

(x-20) (x + 5) = 0

 The zero product property says that if two terms a * b = 0 then

a = 0 or b = 0

So

(x-20) = 0 or (x + 5) = 0

x = 20 or x = -5

6 0
4 years ago
Read 2 more answers
A cold wave hit Chicago when the temperature hit 62°F. During the cold wave, the temperature dropped two degrees every hour. How
solmaris [256]
11 hours. The temp. decreases with time at a 2:1 ratio receptively  <span />
4 0
4 years ago
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