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Arada [10]
3 years ago
8

P Casey is reading a book for a book report. At 3:30 P.M., he started reading where he had left off the day before. At 5:30 P.M.

he was on page 160. At 8:00 P.M. he was on page 280. If reading the book is modeled by a linear function, what page did Casey start on at 3:30 P.M.?
Mathematics
2 answers:
Blababa [14]3 years ago
7 0
If you would like to know the page that Casey start on at 3:30 P.M., you can calculate this using the following steps:

8:00 P.M. - <span>5:30 P.M. = 2:30
280 - 160 = 120 pages

</span><span>5:30 P.M. - 3:30 P.M. = 2:00

2:30 = 150 minutes ... 120 pages
2:00 = 120 minutes ... x pages = ?

150 * x = 120 * 120
x = 120 * 120 / 150
x = 96 pages

160 pages - 96 pages = 64

Casey started on page 64.</span>
Tema [17]3 years ago
4 0
Given:
3:30 - 5:30 = page 160
5:30 - 8:00 = page 280

280 - 160 = 120
8:00 - 5:30 = 2.5 hours or 5 half hours 
120 / 5 half hours  =  24 pages every half hour or 30 minutes

3:30 - 5:30 = 2 hours or 4 half hours
24 * 4 = 96 pages

160 - 96 = 64

P Casey was on page 64 at 3:30 p.m.
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Anna buys 12 pens and 20 pencils for a total of $16. One pen costs $0.40 more than one pencil. What would 1 pen and 1 pencil cos
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Answer:

Cost of pencil is $0.35 and cost of pen is 0.75

Step-by-step explanation:

The cost of one pencil and one pen is required.

The cost of a pencil is $0.35 and a pen is $0.75.

The number of pens is 12.

The number of pencils is 20.

Let the cost of one pencil be  

A pen costs $0.40 dollar more than pen.

So, cost of a pen is  

Total cost of all the pens and pencils is $16.

Cost of pencil is $0.35 and cost of pen is 0.75

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2 years ago
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Svetach [21]
130 degrees see photo for steps

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3 years ago
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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B2%7D%5E%7Bx%20%2B%202%7D%20-%20%20%7B2%7D%5E%7B%20x%20%2B%203%7D%20%7D%7B%2
weeeeeb [17]

I suppose you just have to simplify this expression.

(2ˣ⁺² - 2ˣ⁺³) / (2ˣ⁺¹ - 2ˣ⁺²)

Divide through every term by the lowest power of 2, which would be <em>x</em> + 1 :

… = (2ˣ⁺²/2ˣ⁺¹ - 2ˣ⁺³/2ˣ⁺¹) / (2ˣ⁺¹/2ˣ⁺¹ - 2ˣ⁺²/2ˣ⁺¹)

Recall that <em>n</em>ª / <em>n</em>ᵇ = <em>n</em>ª⁻ᵇ, so that we have

… = (2⁽ˣ⁺²⁾ ⁻ ⁽ˣ⁺¹⁾ - 2⁽ˣ⁺³⁾ ⁻ ⁽ˣ⁺¹⁾) / (2⁽ˣ⁺¹⁾ ⁻ ⁽ˣ⁺¹⁾ - 2⁽ˣ⁺²⁾ ⁻ ⁽ˣ⁺¹⁾)

… = (2¹ - 2²) / (2⁰ - 2¹)

… = (2 - 4) / (1 - 2)

… = (-2) / (-1)

… = 2

Another way to get the same result: rewrite every term as a multiple of <em>y</em> = 2ˣ :

… = (2²×2ˣ - 2³×2ˣ) / (2×2ˣ - 2²×2ˣ)

… = (4×2ˣ - 8×2ˣ) / (2×2ˣ - 4×2ˣ)

… = (4<em>y</em> - 8<em>y</em>) / (2<em>y</em> - 4<em>y</em>)

… = (-4<em>y</em>) / (-2<em>y</em>)

… = 2

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3 years ago
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