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2 years ago

A secretary can type 12 pages per hour. There are a total of 152 pages to type. How many pages remain to be typed after 9 hours?

1 answer:

4 0

So, she can type 12 pages in 1 hour, how many would she type in 9 hours then? let's check,

$\bf \begin{array}{ccll}
pages&hours\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
12&1\\
p&9
\end{array}\implies \cfrac{12}{p}=\cfrac{1}{9}\implies \cfrac{12\cdot 9}{1}=p$

so in 9 hours, she has that typed that many pages, how many pages remain from the 152? well 152 - p.

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The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per shirt. If the price is too high,

Andrej [43]

Answer:

A. $18

B. $200

C. $p\in (16,20)$

Step-by-step explanation:

Function:

$f(p) = -50p^2 + 1,800p - 16,000$

Parts A and B:

The price that generates the maximum profit is ate vertex of parabola. Find the coordinates of the vertex:

$p_v=\dfrac{-b}{2a}=\dfrac{-1,800}{2\cdot (-50)}=\dfrac{1,800}{100}=18\\ \\f(p_v)=-50\cdot 18^2+1,800\cdot 18-16,000=200$

The price that generates the maximum profit is $18

The maximum profit is $200

Part C:

The company breaks even when the profit is positive. From the graph of the function you can see that the graph of the function is over p-axis for all $p\in (16,20)$ , so the positive profit is for $p\in (16,20)$

In p=16 and p=20, the profit is 0 and when p<16 and p>20, there will be a loss.

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2 years ago

if two points are given,then exactly one line can be drawn through those two points.which geometry term does the statement repre

lubasha [3.4K]

Answer:

This is a postulate which states that through any two points, there is exactly one line.

Step-by-step explanation:

A postulate is a statement that is assumed true without proof.

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2 years ago

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Trina examined the equation below and said that the equation has exactly one solution. Negative 8 (x minus 4) + 2 x = negative 4

shutvik [7]

Answer

The answer is C. Trina is not correct because the two sides of the equation are equivalent.

Step-by-step explanation:

1. solve for x

-8(x - 4) + 2x = -4(x - 8) -2x

-8x + 32 + 2x = -4x + 32 -2x

-6x + 32 = - 6x + 32

0 = 0

This equation has infinite solutions, any rational number fits as solution for x in this equation. And as we can see both sides of it are equivalent.

Therefore, the correct answer is C. Trina is not correct because the two sides of the equation are equivalent.

Hope This Helps :p

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2 years ago

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You drop a seashell into the ocean from a height of 40 feet. Write an equation that models the height h in feet) of the seashell

ANTONII [103]

Answer:

t=1.58 seconds

Explanation:

The equation which models the height h of the seashell above water after t seconds

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2 years ago

Natasha is seeding her backyard. The backyard is square in shape and has an area of 4225 square feet. What is the length of one

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Answer:65ft

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Therefore 4225=s^2

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