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Paladinen [302]
3 years ago
13

Renata and her family go through an average of more than 15 cans of sparkling water each day. They buy cases of 24 cans at $3.50

a case. Write an inequality for the number of cases they go through in 30 days.
Mathematics
1 answer:
DENIUS [597]3 years ago
3 0

Answer:

The inequality required to express the above condition is   x     ≥    18.75

Step-by-step explanation:

Renata and her family go through an average of more than 15 cans of sparkling water each day.

The number of cases of 24 cans of sparkling water.

We can take the number of cases to be x.

Each case is said to cost $3.50.

An inequality for the number of cases that Renata's family go through in 24 days can be written as

       x ≥ \frac{15 \times 30}{24}           ⇒     x    ≥   \frac{450}{24}         ⇒   x ≥     18.75

Therefore the inequality required to express the above condition is

x     ≥    18.75

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3 years ago
Which expression is equivalent to x³ - x² - 14x + 24?
serg [7]

Answer:

<h3>A. ( x - 2 )( x - 3 )(x + 4 )</h3>

<h3>Step-by-step explanation:</h3>

<h3>x³ - x² - 14x + 24</h3>

<h3>1. Use the rational root theorem</h3>

= (x  - 2) \frac{x ^{3}  -x^{2}  - 14x + 24}{x - 2}

<h3>2. \frac{  {x}^{3} - {x}^{2}  - 14x + 24 }{x - 2}  =  {x}^{2}  + x - 12</h3><h3 />

= ( x - 2 )( x² + x - 12 )

<h3>3. Factor x² + x - 12 : ( x -3 )( x + 4)</h3>

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<h3>Solution : </h3>

<h3>= ( x - 2 )( x - 3 )(x + 4 )</h3>
3 0
1 year ago
What number does x stand for in this equation?<br><br> -7x + 6=27
AURORKA [14]
⓵ You need to solve the left side first in order to isolate the × and find it’s value :

-7× + 6 = 27
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↓

-7× = 21
÷-7 ÷-7

↓

× = -3

If you find it too difficult to divide a number by a negative, just divide 21 by 7 and always remember that when dividing, when the signs are different the answer is negative. So knowing that you could just divide 21 by 7, which is 3, and add a negative sign in front!


I hope this helped, if there’s anything let me know! ☻
3 0
3 years ago
Suma numerelor de forma a4b cu produsul cifrelor 24 este egala cu
lyudmila [28]

Answer:

Raspuns corect: b)

Step-by-step explanation:

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perechile de numere cu produsul 6 sunt: {1,6}  si {2,3}

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Raspuns corect: b)

6 0
3 years ago
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