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Anuta_ua [19.1K]
3 years ago
12

Solve (x - 2 < 5) ∩ (x + 7 > 6)

Mathematics
1 answer:
Otrada [13]3 years ago
6 0

Answer:

(-1 , 7)

Step-by-step explanation:

Read the symbol ∩ as the word "AND"

x-2 < 5 AND x+7 > 6

x< 5+2 AND x > 6-7

x < 7 AND x > -1

All the numbers greater than -1 AND less than 7

Interval (-1 , 7)

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mojhsa [17]

Answer:

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3 0
3 years ago
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Select the property of equality used to arrive at the conclusion. if 1/3 x=5 then x=15 the multiplication property of equality t
REY [17]

If we take both sides of the equation \frac{1}{3} x=5 and <em>multiply either expression by 3</em>, the equality becomes

3\cdot\frac{1}{3}x=3\cdot5\\x=15

Multiplication of both sides of an equality by the same number keeps the equality true, and we call this property the multiplication property of equality.

3 0
3 years ago
Which ratio is equivalent to the given ratio? 45:63 Select each correct answer.
Liono4ka [1.6K]
5:7, 15:21. Hope this helps!!!
6 0
3 years ago
PLEASE HELP!!! I WILL MARK BRAINLEST!!!
storchak [24]

Answer:

Each hat is $5

Each mask is $3

Step-by-step explanation:

Hat= x dollars

Mask= y dollars

Now,

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Adding the second equation (-1 times 1st equation) gives us;

3x + 6y = 33

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3x + 15

x = 15/3

***x= 5***

Each hat costs $5

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6 0
3 years ago
What is the volume, in cubic meters, of a cylinder with a height of 8 meters and a base radius of 9 meters, to the nearest tenth
sammy [17]
Volume of a cylinder: \pi  r^{2} h

Plug in the numbers.

\pi 9^{2} 8 = <span>2035.8
</span>
The cylinder's volume is 2035.8 m³.
5 0
4 years ago
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