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Dafna1 [17]
3 years ago
11

Zachary is planning to send a video game to each of his two brothers. If he buys the same game for both brothers and pays $5.25

to ship each game, how much can he spend on each game without spending more than $100? Enter and solve an inequality for this situation. Let v be the cost of one video game.
Mathematics
1 answer:
IRISSAK [1]3 years ago
6 0
(5.25)(2)+ x=100

10.5+x=100
-10.5. -10.5

x=89.5
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ANSWER

The height is 22ft


EXPLANATION

Let the height of the chimney be x.

\tan(45 \degree) = \frac{x}{y}

1 = \frac{x}{y}

x = y

\tan(30 \degree) = \frac{x}{16+ y}

\frac{ \sqrt{3} }{3} = \frac{x}{16 + y}

Cross multiply

\sqrt{3} (16 + y) = 3x

16 \sqrt{3} + y \sqrt{3} = 3x

Put

y = x

into the equation;

16 \sqrt{3} + x \sqrt{3} = 3x

Group similar terms:

16 \sqrt{3}= 3x - x \sqrt{3}

16 \sqrt{3}= (3 - \sqrt{3})x

\frac{16 \sqrt{3} }{3 - \sqrt{3} } = x



x=21.856


The height of the chimney to the nearest feet is 22

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3 years ago
Rebekah wants to read a certain number of pages each day during summer vacation. Today she reads 204 pages, which is 136% of her
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Rule of three
Pages        %
204     → 136%
x         → 100% (her goal)

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Find the missing number: 40, 61, 85, ?, 142
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Answer:

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A line with a slope of -4 has a coordinate of (0,3). If the other coordinate is (6,t),
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Answer:

Alrighty! So this is what we know:

Slope (m) = (-4)

Co-ordinate (0,3)

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t = ?

Let's find our equation...

y=mx+b <-- just plug what we know in...

3=(-4)0+b

3=0+b

b=3

We just found b! woohoo

Now what is t? t is a value we need to know WHICH IS the y value of a co-ordinate that corresponds to when x is 6, as we know a co-ordinate is expressed as --> (x value, y value).

SO-

t=y

plug it in our equation...

y=mx+b

t=(-4)x+3

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SOOOOOOOO WE HAVE OUR T!! just write a therefore statement like "therefore the value of t is -21." and you're set! hope this helped, any questions? ask in the comment section. :)

Step-by-step explanation:

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