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xxMikexx [17]
3 years ago
12

In one day a movie store rented out 32 comedies. If the ratio of comedies to action movies rented was 8:7, how many action movie

s were rented?
Mathematics
1 answer:
Shalnov [3]3 years ago
8 0
\bf \cfrac{comedie}{action}\qquad 8:7\qquad \cfrac{8}{7}\qquad \qquad \cfrac{32}{a}=\cfrac{8}{7}\implies \cfrac{32\cdot 7}{8}=\stackrel{action}{a}
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Suppose the roots of the equation 2x^2−5x−6=0 are α and β.Find the quadratic equation with roots 1/α and 1/β.​
pochemuha

Answer:

6x² + 5x - 2 = 0

Step-by-step explanation:

Given

2x² - 5x - 6 = 0 ← in standard form

with a = 2, b = - 5, c = - 6, then

sum of roots α + β = - \frac{b}{a} = \frac{5}{2}

product of roots = \frac{c}{a} = - 3, then

sum of new roots = \frac{1}{\alpha } + \frac{1}{\beta }

= \frac{\beta+\alpha  }{\alpha \beta }

= \frac{\frac{5}{2} }{-3} = - \frac{5}{6}

product of new roots = \frac{1}{\alpha } × \frac{1}{\beta }

= \frac{1}{\alpha\beta  } = - \frac{1}{3}

Hence the required equation is

x² + \frac{5}{6} x - \frac{1}{3} = 0 or

6x² + 5x - 2 = 0 ( multiplying through by 6 )

                           

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3 years ago
6 1/2 minus 5 3/4 in math
Nata [24]

Answer:

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Step-by-step explanation:

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Answer:

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2 years ago
(3+5)x7-[10+(45-15)\5]
Gelneren [198K]
Use\ PEMDAS\\\\(3+5)\times7-[10+\frac{(45-15)}{5}]=(8)\times7-(10+\frac{30}{5})\\\\=56-(10+6)=56-16=\boxed{\boxed{40}}
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The measures of two complementary angles are (3y − 1)° and (4y + 7)°. Determine the value of y. (Type number only)
blondinia [14]

Answer:

y = 12

Step-by-step explanation:

Complementary angles sum to 90 , so

3y - 1 + 4y + 7 = 90

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7y = 84 ( divide both sides by 7 )

y = 12

5 0
3 years ago
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