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3 years ago

10

A play director set up four rows of eight chairs in front of the stage as shown. A seat is randomly chosen. Which expression giv

es the probability that it is a front row seat or an aisle seat?

1 answer:

faust18 [17]3 years ago

3 0

The answer is a,,,,,,,

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A rectangular prism has a length of 312 in., a width of 5 in., and a height of 112 in.

OLga [1]

Area of prism = area of base * height

= ( 312 * 5 ) * 112 = 174720 cubic inch

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3 years ago

Write a function rule that gives the total cost c(p) of p pounds of sugar if each pound costs $0.42.

julia-pushkina [17]

Since a pound of sugar increases proportionally to the total cost of sugar bought, then the function can be written as:

c(p) = 0.42p

Where: c(p) = total cost of sugar bought
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c(p) is a function of p, because c(p) depends on p.

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Find the inverse of f(x)=(x−5)/(−4x−2)

uysha [10]

Answer:

${f}^{ - 1} (x)= \frac{ 5 - 2x }{ 4x + 1}$

Step-by-step explanation:

The given rational function is

$f(x) = \frac{x - 5}{ - 4x - 2}$

Let

$y = \frac{x - 5}{ - 4x - 2}$

Interchange x and y

$x= \frac{y- 5}{ - 4y - 2}$

Cross multiply

$x( - 4y - 2)= y- 5$

Expand

$- 4xy - 2x= y- 5 \\ - 4xy - y= 2x - 5 \\y( - 4x - 1)= 2x - 5$

Solve for y;

$y= \frac{ 2x - 5}{ - 4x - 1}$

or

$y= \frac{ 5 - 2x }{ 4x + 1}$

Therefore

${f}^{ - 1} (x)= \frac{ 5 - 2x }{ 4x + 1}$

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3 years ago

An apple has a mass of 150g and a volume of 100cm cubed find its density

BartSMP [9]

Divide <span>150:100 to find out what the density in g/cm3 is. So 150:100 = 1.5 g/cm3</span>

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