Enter the decimal equivalent of 9/12

1. Write an equation in point-slope form for the line through the given point with the given slope.

ElenaW [278]

Answer: y + 2 = $\frac{-1}{2}$ ( x - 4 )

Step-by-step explanation:

The equation of a line in point - slope form is given as ;

y - $y_{1}$ = m (x - $x_{1}$ )

$x_{1}$ = 4

$y_{1}$ = -2

m = $\frac{-1}{2}$

Substitute the values into the equation , we have

y - (-2) = $\frac{-1}{2}$ ( x - 4 )

y + 2 = $\frac{-1}{2}$ ( x - 4 )

Which could be written as :

y + 2 = y + 2 = $\frac{-1}{2}$ x + 2

8 0

2 years ago

A concert hall has 8,000 seats and two categories of ticket prices, $29 and $34. Assume that all seats in each category can be s

Greeley [361]

Using a system of equations, it is found that:

For a profit of $255,000, 3400 tickets of $29 and 4600 tickets of $34 must be sold.
For a profit of $271,000, 200 tickets of $29 and 7800 tickets of $34 must be sold.
For a profit of $235,000, 7400 tickets of $29 and 600 tickets of $34 must be sold.

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The variables of the system are:

x, which is the number of $29 tickets sold.
y, which is the number of $34 tickets sold.

Total of 8,000 seats, all can be sold, thus:

$x + y = 8000 \rightarrow x = 8000 - y$

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For a profit of $255,000, we have that:

$29x + 34y = 255000$

$29(8000 - y) + 34y = 255000$

$5y = 23000$

$y = \frac{23000}{5}$

$y = 4600$

$x = 8000 - 4600 = 3400$

For a profit of $255,000, 3400 tickets of $29 and 4600 tickets of $34 must be sold.

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For a profit of $271,000, we have that:

$29x + 34y = 271000$

$29(8000 - y) + 34y = 271000$

$5y = 39000$

$y = \frac{39000}{5}$

$y = 7800$

$x = 8000 - 7800= 200$

For a profit of $271,000, 200 tickets of $29 and 7800 tickets of $34 must be sold.

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For a profit of $235,000, we have that:

$29x + 34y = 235000$

$29(8000 - y) + 34y = 235000$

$5y = 3000$

$y = \frac{3000}{5}$

$y = 600$

$x = 8000 - 600 = 7400$

For a profit of $235,000, 7400 tickets of $29 and 600 tickets of $34 must be sold.

A similar problem is given at brainly.com/question/22826010

3 0

2 years ago

A driveway is in the shape of a rectangle 20 feet wide by 25 feet long.

ANTONII [103]

A= 20x25 so the area is 500
To find the perimeter you have to add both the width and length x2 so it’s 20+25 =45
45x2=90

7 0

2 years ago

A drawer contains a dozen unmatched brown socks and a dozen unmatched black socks. how many socks must someone take out to ensur

krok68 [10]

<span>A) 3 - The third sock will match the first or second if they don't match each other.
B) 14 - It's highly unlikely yet possible to remove all brown socks first, the next two would have to be black.</span>

5 0

2 years ago

Two hundred people attended the history museum exhibit on Monday. Twenty-five of the people who attended the exhibit were survey

galben [10]

Answer:

96

Step-by-step explanation:

Total number of people attending the history museum is 200

Surveyed people are 25

Out of the 25, 12 people said yes

Therefore; the fraction which said yes = 12/25

To find the total number of people expected to say yes out of those that attended the history museum;

Fraction of the sampled that said yes × total number of people that attended.

= 12/25 × 200

= 96

6 0

2 years ago

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