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Mrac [35]
3 years ago
14

The rule of thumb in filmmaking is that you must shoot at least 3 minutes of film for every minute in a movies “final cut”. A 30

minute roll of film cost $250. How much will film cost to make a 90 minute movie?
I can't figure out the process of solving it!!!
P.S: It needs to be set up as an inequality
PLS HELPP
Mathematics
1 answer:
attashe74 [19]3 years ago
6 0

Answer: $750

Step-by-step explanation:

We can solve this using direct proportion.

Let the number of minutes used be x

Let the cost be y

For direct proportion,y = kx

where, y = 250, x = 30

y = kx

250 = 30k

k = 250/30

k = 8.33

The cost to make a 90 minute movie will be:

y = kx

where,

y = unknown

k = 8.33

x = 90

y = 90 × 8.33

y = $750

The cost to make a 90 minute movie is $750.

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Answer:

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3 years ago
HELP FAST The circumference of the smaller circle is 30% of the circumference of the larger circle. Find the circumference of th
ollegr [7]

Answer

I attach the image of the circle in the picture below

Circumference larger circle = 62.831 in

Step-by-step explanation:

The perimeter of a circle is defined as

P = 2* pi* r

where

r corresponds to the radius of the circle.

In this case,

r = d/2 = 3 in

The perimeter of the smaller circle results

P1 = 2*(3.1416)*(3 in) = 18.8495 in

The circumference of the smaller circle is 30% of the circumference of the larger circle, so

P1 = 0.3* P2

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4 0
3 years ago
Michael reads 12 pages of a book in 18 minutes, 8 pages in 12 minutes,and 20 pages in 30 minutes. Is this a proportional relatio
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Answer:

  • y = 2/3x

Step-by-step explanation:

<u>Reading rate is y pages per x minutes and proportional relationship formula is:</u>

  • y = kx

<u>The coefficient is:</u>

  • k = y/x

<u>Let's verify if the given numbers fit into the same relationship:</u>

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We confirm all same and it means k = 2/3

<u>Required equation is:</u>

  • y = 2/3x

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7 0
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Find the slope of the line passing through the following points: (-12, -56), (-57,39).
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3 0
1 year ago
Read 2 more answers
1. $239 television; 10% discount 2. $72 game; 20% discount
Fiesta28 [93]

These are 16 questions and 16 answers

Answer:

  • See below and the attachment.

Explanation:

From 1 to 10, find the sale price to the nearest cent:

1. $239 television; 10% discount

   Sale\text{ }price=Orignal\text{ }price-discount\\ \\ Sale\text{ }price=\$239-10\%\times \$239=\\\\  Sale\text{ }price=\$239-0.10\times \$239=\\\\  Sale\text{ }price=\$239-\$23.9=\$215.10

2. $72 game; 20% discount

You can also multiply by the factor (1 - % discount);

For instance for 20% discount, the factor is 1 - 20% = 1 -0.20 = 0.80. Which means that you can multiply the original price by the factor 0.80 to get the sale price:

              Sale\text{ }price=Orignal\text{ }price\times factor\\ \\ Sale\text{ }price=\$72\times(1-0.20)=\\\\  Sale\text{ }price=\$72\times0.80=\\\\  Sale\text{ }price=\$57.60

3. $18.95 football; 15% discount

             Sale\text{ }price=Orignal\text{ }price\times factor\\ \\ Sale\text{ }price=\$18.95\times(1-0.15)=\\\\  Sale\text{ }price=\$18.95\times0.85=\\\\  Sale\text{ }price=\$16.11

4. $10.99 CD; 25% discount

            Sale\text{ }price=Orignal\text{ }price\times factor\\ \\ Sale\text{ }price=\$10.99\times(1-0.25)=\\\\  Sale\text{ }price=\$10.99\times0.75=\\\\  Sale\text{ }price=\$8.24

5. $149 MP3 player; 40% discount

            Sale\text{ }price=Orignal\text{ }price\times factor\\ \\ Sale\text{ }price=\$149\times(1-0.40)=\\\\  Sale\text{ }price=\$149\times0.60=\\\\  Sale\text{ }price=\$89.40

6. $213 ski jacket; 30% discount

            Sale\text{ }price=Orignal\text{ }price\times factor\\ \\ Sale\text{ }price=\$213\times(1-0.30)=\\\\  Sale\text{ }price=\$213\times0.70=\\\\  Sale\text{ }price=\$149.10

7. $595 refrigerator; 20% discount

            Sale\text{ }price=Orignal\text{ }price\times factor\\ \\ Sale\text{ }price=\$595\times(1-0.20)=\\\\  Sale\text{ }price=\$595\times0.80=\\\\  Sale\text{ }price=\$476.00

8. $64 video game; 25% discount

          Sale\text{ }price=Orignal\text{ }price\times factor\\ \\ Sale\text{ }price=\$64\times(1-0.25)=\\\\  Sale\text{ }price=\$64\times0.75=\\\\  Sale\text{ }price=\$48.00

9. $119 croquet set; 50% discount

You should not have problems with this: 50% discount means that you will pay half the price.

Hence, the sale price is:

           Sale\text{ }price=Orignal\text{ }price/2 \\\\  Sale\text{ }price=\$59.50

10. $14.99 clock; 10% discount

            Sale\text{ }price=Orignal\text{ }price\times factor\\ \\ Sale\text{ }price=\$14.99\times(1-0.10)=\\\\  Sale\text{ }price=\$14.99\times0.90=\\\\  Sale\text{ }price=\$13.49

11. A radio is on sale for $50. If this price represents a 10% discount from the original price, what is the original price to the nearest nickel? Hint: need to use a proportion to find the whole.

First note that if the discount is 10%, the sale price is 100% - 10% = 90% of the original price.

Let's set the proportion that represents the proportionality between the two ratios, starting with the fact that $ is the 90% and original price is the 100% (the whole part):

  • First ratio: $50/90

  • Second ratio: x /100

  • Proportion: first ratio = second ratio

             \$50/90=x/100

  • Solve for x:

              x=100\times\$50/90=\$55.55

Hence, the original price is $55.55

12. A box of laundry detergent is on sale for $6.50. If this price represents a 40% discount from the original price, what is the original price to the nearest cent?

Use the same hint used in the question above: set a proportion.

Remember a 40% discount means that the sale price is 60% of the original price:

              \$6.50/60=x/100\\ \\ x=100\times\$6.50/60=\$10.83

13. Determine the price of a $35 basketball that is on sale for 50% off the regular price.

Again, 50% discount means that the sale price will be half of the original price, or the original price will be double of the sale price.

Here, the original price is $35, hence the sale price is $35/2 = $17.50

14. Dominic bought a new alarm clock that was on sale for $18.75. If this price represents a 30% discount from the original price, what is the original price to the nearest cent?

Since the price is after a 30% discount, the sale price is a 70% of the original price, and you set the proportion:

          \$18.75/70=x/100

Solve for x:

           x=100\times\$18.75/70=\$26.79

15. Michael bought a new fishing rod. The regular price of the fishing rod was $125.99. He bought it on sale with a 15% discount. Sales tax of 3% is applied to the discounted total. What was the sale price with tax of Michael’s fishing rod to the nearest cent?

  • First find the the sale price after the 15% discount:

           \$125.99\times(1-0.15)=\$125.99\times0.85=\$107.09

  • Now add the 3% tax:

          \$107.09\times1.03=\$110.30

Hence, the sale price with tax is $110.30

The last answer (# 16) is in the attached file, since this already exceeds the number of characters allowed.

7 0
4 years ago
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