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lesya [120]
3 years ago
9

A production company spent 59 1/2 days on filming it's first movie. The company's second movie was filmed in 9 3/4 weeks. Find t

he ratio of the first movies filming time to the second movies filming time. compare in weeks.​
Mathematics
1 answer:
Ierofanga [76]3 years ago
4 0

Answer:

Ratio = 34:39        

Step-by-step explanation:

We are given the following in the question:

Time spent on filming first movie =

59\dfrac{1}{2}\text{ days}

Converting intro weeks:

t_1 = \dfrac{\frac{119}{2}}{7} = 8\dfrac{1}{2}\text{ weeks}

Time spent on filming second movie =

t_2 = 9\dfrac{3}{4}\text{ weeks}

We have to find the ratio of filming time.

Ratio =

\dfrac{t_1}{t_2} = \dfrac{8\frac{1}{2}}{9\frac{3}{4}} = \dfrac{\frac{17}{2}}{\frac{39}{4}}\\\\=\dfrac{17\times 4}{39\times 2} = \dfrac{34}{39}

Thus, 34:39 is the ration of the first movies filming time to the second movies filming time.

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how many ways can we award a 1st, 2nd, and 3rd place prize among eight contestants? A) 336 B.) 56 C.) none of these D.) 40320​
alekssr [168]

the answer is A.336

Explanation:

There are 8 choices for awarding first prize.Then there are 7 choices for awarding second prize.And there are 6 choices for awarding third prize.

Therefore, there are: 8 *7 *6 =336 ways.

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4 years ago
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A tennis ball can in the shape of a right circular cylinder holds four tennis balls snugly. If the radius of a tennis ball is 3.
Volgvan

Answer:

  about 33.3%

Step-by-step explanation:

The fraction of space not occupied will be the same as the unoccupied fraction of a cylinder of the same height and diameter as a sphere.

<h3>Volume of a cylinder</h3>

The volume of a cylinder of diameter d and height d will be ...

  V = πr²h = π(d/2)²(d) = (π/4)d³

<h3>Volume of a sphere</h3>

The volume of a sphere of diameter d is ...

  V = 4/3πr³ = 4/3π(d/2)³ = (π/6)d³

<h3>Unoccupied space</h3>

The fraction of space that is occupied is ...

  occupied space = (sphere volume)/(cylinder volume)

  occupied space = ((π/6)d³) / ((π/4)d³) = 4/6 = 2/3

The fraction of unoccupied space is ...

  unoccupied fraction = 1 -2/3 = 1/3

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Find the value of x for g(x) = -x + 5 when g(x) = 2.
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Answer:

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Step-by-step explanation:

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-7.4r - 6.31 = 3.23 - 5.6r
nikdorinn [45]

Answer:

r=−5.3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−7.4r−6.31=3.23−5.6r

−7.4r+−6.31=3.23+−5.6r

−7.4r−6.31=−5.6r+3.23

Step 2: Add 5.6r to both sides.

−7.4r−6.31+5.6r=−5.6r+3.23+5.6r

−1.8r−6.31=3.23

Step 3: Add 6.31 to both sides.

−1.8r−6.31+6.31=3.23+6.31

−1.8r=9.54

Step 4: Divide both sides by -1.8.

−1.8r/−1.8=9.54/−1.8

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What is the range of the function f(x) = –2(6x) + 3?
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