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sleet_krkn [62]
2 years ago
9

A rectangular poster has an area of 190 inches squared. The height of the poster is one inch less than twice its width. Find the

dimension of the poster.
PLEASE SHOW ALL THE WORK!
Mathematics
1 answer:
Annette [7]2 years ago
4 0
Set the height to h, and the width to w.

We know that wh=190 and h=2w-1.

Substituting 2w-1 for h, we have:

w(2w-1)=190

So:
2w^2-w-190=0

Factoring this equation, we get (2w+19)(w-10)=0.  The solutions to this equation are -9.5 and 10, but clearly the width must be positive, Substituting 10 for the width, we get 10*2-1=19 for the height.
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Gil buys 4 books for $16. Then he sells 3 CDs for $27. Write equations for y, Gil’s change in money after buying a book, and for
guajiro [1.7K]

Given:

Gil buys 4 books for $16. Then he sells 3 CDs for $27.

To find:

The equations for y, Gil’s change in money after buying a book, and for x, his change in money after selling a CD, in standard form.

Slope of each equation.

Solution:

Gil buys 4 books for $16.

4 books = $16

1 book = $4

Let n be the number of book purchased, then change in money after buying n book is

y=-4n

Here, negative sign represents decrease in money. Here, slope of -4 it means the money decreased by $4 after buying each book.

He sells 3 CDs for $27.

3 CDs =$27

1 CDs =$9

Let c be the number of CDs sold, then change in money after selling m CDs is

x=9m

Here, slope of 9 it means the money increased by $9 after selling each CD.

8 0
2 years ago
A. Choudhury’s bowling ball factory in Illinois makes bowling balls of adult size and weight only. The standard deviation in the
Maksim231197 [3]

Answer and explanation:

Please find attached answer and explanation

7 0
2 years ago
What is the simplest form for 8/10 divided by 1 5/6?
Thepotemich [5.8K]
1 5/6 divided by 8/10 is 11/6 multiple by 10/8= 110/48=2 14/48 =2 7/24 the final answer is 2 and 7/24
5 0
2 years ago
Ray made an error while solving the following equation. In which step did ray make an error?
raketka [301]

He made an error is step 2

3x + 18 = 2x +8

subtract 2x from each side

x + 18 = 8


7 0
2 years ago
Read 2 more answers
Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use: Step 1: Choose
TEA [102]
Answer:
Steps 3 and 4 are incorrect because
(a) An incorrect value for slope was obtained in step 3.
(b) The incorrect value for the slope was used in step 4.

Explanation:
Let us evaluate Talia's steps.

Step 1: Select (2, 5) as a point on the line.
            CORRECT

Step 2: Select another point (1, 3) on the line.
            CORRECT

Step 3: Count units to the right and count units up, to determine the slope.
            Units right = 2 - 1 = 1
            Units up = 5 - 3 = 2
            Slope = (Units up)/(Units right) = 2/1 = 2
            INCORRECT because Talia did not obtain a slope of 2.

Step 4: Substitute obtained values in the point-slope form.
             (y - y1) = m(x - x1). If we select the point (1, 3), then
            y - 2 = 2(x - 1).
            Talia's equation is INCORRECT because she used an incorrect value
            for the slope.
8 0
2 years ago
Read 2 more answers
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