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kobusy [5.1K]
2 years ago
15

5.1(3+2.2x)>-14.25-6(1.7x+4)

Mathematics
2 answers:
bekas [8.4K]2 years ago
8 0

Answer:

(-2.5, ∞)

Step-by-step explanation:

You can add the opposite of the right side.

5.1(3 +2.2x) +14.25 +6(1.7x +4) > 0

15.3 +11.22x +14.25 + 10.2x +24 > 0 . . . eliminate parentheses

21.42x +53.55 > 0 . . . . . . . . . . . . . . . . . . collect terms

x + 2.5 > 0 . . . . . . . . . . . . . . . . . . . . . . . . .divide by the coefficient of x

x > -2.5 . . . . . . add the opposite of the constant

KATRIN_1 [288]2 years ago
5 0

(- 2.5, ∞ )

distribute parenthesis on both sides of inequality and simplify

15.3 + 11.2x > - 14.25 - 10.2x - 24

15.3 + 11.2x > - 38.25 - 10.2x ( add 10.2x to both sides )

15.3 + 21.42x > - 38.25 ( subtract 15.3 from both sides )

21.42x > - 53.55 ( divide both sides by 21.42 )

x > - 2.5

solution x ∈ (- 2.5, ∞ )


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The cost of taking your pet aboard the air flight with you in the continental US varies according to the airlines. The five numb
melisa1 [442]

Answer: The  lowest value: 100 and highest value: - 150 .

If we were to build the box plot for this data, the box would stretch between Q_1= 100 and Q_3= 125.

Step-by-step explanation:

We know that the box-plot is the graphical way to represent the five -number summary (Minimum value , First quartile (Q_1) , Median , Third Quartile (Q_3)  , Maximum value).

Where , the box streches between the first quartile  (Q_1)  and the third quartile  (Q_3) .

Given : The cost of taking your pet aboard the air flight with you in the continental US varies according to the airlines.

The five number summary for prices based on a sample of major US airlines was:

Min = 60,

Q_1= 100

Median = 110

Q_3= 125

Max = 150

If we were to build the box plot for this data, the box would stretch between Q_1= 100 and Q_3= 125.

Hence, the  lowest value: 100 and highest value: 125 .

8 0
2 years ago
Bill said, “I am half as old as my sister was last year.” If Bill is now 8 years old, how old is Bill’s sister?
Licemer1 [7]

Answer:

i think 14

Step-by-step explanation:

6 0
2 years ago
A coach purchases 47 hats for his players and their families at a total cost of $302. The cost of a small hat is $5.50. A medium
frosja888 [35]

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.

Since a total of 47 hats where purchased,  hence:

x + y + z = 47    (1)

Also, he spent a total of $302, hence:

5.5x + 6y + 7z = 302     (2)

He purchases three times as many medium hats as small hats, hence:

y = 3x

-x + 3y = 0    (3)

Represent equations 1, 2 and 3 in matrix form gives:

\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] ^{-1} \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}6\\18\\23\end{array}\right]

Therefore he purchases 6 small hats, 18 medium hats and 23 large hats

5 0
2 years ago
How many complex roots does the equation below have? X^6+x^3+1=0
gladu [14]
If you find the discriminant it will tell you the number and types of roots. The discriminant is the value b^2 -4ac.
a = 1
b = 1
c = 1
1^2 - 4*1*1
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Since this is a negative number there will be 2 complex roots.
7 0
2 years ago
Read 2 more answers
Three Rivers publishes a catalog each year, last year it had 198 pages back and front. We
Mama L [17]

Answer:

$222

Step-by-step explanation:

We need to find how many ream was used in the printing forts, to determine how much the College spent.

The catalog is 198 pages, back and front, which means, 1 leaf will take 2 pages. Therefore, 99 pages were used in printing 1 copy of the catalog.

No of pages that were used in printing 150 copies = 150*99 = 14,850 pages.

If 500 pages = 1 realm, therefore,

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Since, it's a full team that is sold, let's approximate the number of reams bought to be 30 reams.

If 1 ream costs $7.40, therefore,

30 reams = 30*7.40 = $222

6 0
2 years ago
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