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Masteriza [31]
3 years ago
13

Phyllis solved the compound inequality 16 < 2(3x – 1) < 28. She began by first breaking the inequality into two separate i

nequalities, then she correctly solved each for x. 16 < 2(3x – 1) and 2(3x – 1) < 28 3 < x x < 5 Which graph represents her solution?

Mathematics
2 answers:
poizon [28]3 years ago
3 0
16<2(3x-1)<28  divide all terms by 2

8<3x-1<14  add 1 to all terms

9<3x<15  divide all terms by 3

3<x<5

x=(3,5) in interval notation

On a number line, it would be a line segment from 3 to 5 with open circles at 3 and 5.

On a coordinate system graph, it would be an infinitely high shaded plane between the vertical lines x=3 and x=5
soldi70 [24.7K]3 years ago
3 0
From question ,
16<2(3x-1)=16<6x-2
                 =16+2<6x-2+2
                 =18<6x
                 =18/6<6x/6
                 =3<x
Again,
2(3x-1)<28
=6x-2<28
=6x-2+2<28+2
=6x<30
=6x/6<30/6
=x<5
So both of ther graphs 3<x and x<5 represents her solution 

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Answer:

The answer to your question is Yes.

Step-by-step explanation:

The math in this problem is that we need to use the Pythagorean theorem to solve it. Pythagorean theorem is part of trigonometry a branch of Maths.

Data

base = 9 ft                      

length = 37 ft

height = ?

Pythagorean theorem

                                     c² = a² + b²

length = c

base = a

height = b

                                   37² = 9² + b²

-Solve for b

                                    b² = 37² - 9²

-Simplify

                                    b² = 1369 - 81

                                    b² = 1288

-Result

                                   b = 35.88

-Conclusion

The ladder will reach a height higher than 35 ft.  

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3 years ago
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how much material was used in the manufacture of 24000 celluloid dice,if each dice has an edge 1/4 inches?
Dovator [93]
<span>The volume of each celluloid die is (.25 x .25 x .25) = 0.015625 cubic inch.

To manufacture 24,000 of them, you need to start with <u>at least</u>

(24,000) x (0.015625) = <u>375 cubic inches</u>.

I don't know how celluloid is sold, so you should also keep in mind that
375 cubic inches = about 207.8 fluid ounces, or about 6.5 quarts.

I'm sure a bit more than that was used in the manufacture, since
there's always some wasted, spilled, or trimmed off of the edges. </span>
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The dot-plot for the data is sketched at the end of this answer.

--------------------------

  • The dot plot shows the <u>number of times each measure appears in the data-set.</u>

<u />

  • 68 appears once, thus it is 1 in the dot-plot.
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The sketch is given at the end of this answer.

A similar problem is given at brainly.com/question/24908406

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