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vaieri [72.5K]
3 years ago
15

Solve the following inequality. Then place the correct answer in the box provided. Answer in terms of an mixed number. 8P + 2 &g

t; 3P - 15
Mathematics
2 answers:
True [87]3 years ago
8 0

8p-3p>-15-2

collect the like terms and calculate

5p>-17

p>-17/5

olasank [31]3 years ago
7 0

Answer:

The value of the inequity for P is P>-3\frac{2}{5}.

Step-by-step explanation:

Consider the provided inequity.

8P + 2 > 3P - 15

We need to solve the inequity for P.

Subtract 3P from both the sides of the inequity.

8P -3P + 2 > 3P -3P- 15

5P + 2 >- 15

Subtract 2 from both the side.

5P + 2-2 >- 15-2

5P>-17

Divide both the side of the inequity by 5.

P>\frac{-17}{5}

P>-3\frac{2}{5}

Hence, the value of the inequity for P is P>-3\frac{2}{5}.

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Write 11 times 47 using the distributive property. Then simplify.
Simora [160]

Distributive property is in the form of:<span>

a (b+c) = ab + bc</span>

<span>

In this case, we try writing 47 as:</span>

47 = 50-3  or 47 = 40+7

 

Therefore:<span>

11 x 47 = 11 x (50-3) = 11 x 50 - 11 x 3 = 550 - 33 =  517

or 

<span>11 x 47 =  11 x (40+7) = 11 x 40 + 11 x 7 = 440 + 77 = 517</span></span>

5 0
3 years ago
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Alfred is taking a trip. He drove 150 mi and then stopped to refuel. He will drive 60 mph to finish his trip. Let x represent th
hodyreva [135]
Y = 60x +150

we put our ^0 mph as our Multiplier os x and since Alfred already traveled the 150 miles... that is just added on.
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15, 17, 22, 28, 32, 40, 16, 24, 25, 38 what is the value for qurtile 1?
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Step-by-step explanation:

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3 years ago
In triangle ABC, AB measures 25 cm and AC measures 35 cm. The inequality &lt; s &lt; represents the possible third side length o
Flura [38]

we know that

The <u>Triangle Inequality Theorem</u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

so

Let

s------> the length of the third side

25+s > 35 \\ s > 35-25 \\ s> 10\ cm          

25+35 > s \\ 60 > s \\ s< 60\ cm  

10\ cm < s < 60\ cm

therefore

<u>The answer part a) is</u>

10\ cm < s < 60\ cm

we know that

the perimeter of a triangle is the sum of the length sides

In this problem

P=25+35+s\\P=60+s

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the perimeter is equal to

P > 60+10\\ P>70\ cm

<u>For s< 60\ cm</u>

the perimeter is equal to

P < 60+60\\ P

so

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4 0
3 years ago
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There is a a circle whose circumference is 34.54 cm.
Naily [24]

Answer:

\huge\boxed{Diameter=11cm}

Step-by-step explanation:

Important information:

Circumference of a circle= \pi*diameter

Method:

To work out the diameter, we would need to divide the circumference of 34.54 by pi, which in this case is 3.14, this gives us 11cm. This is because we are simply rearanging the formula of the circumference of a circle to make the diameter the subject.

Step By Step:

1) Rearange the formula to make the diameter the subject.

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2) Divide 34.54 by 3.14(\pi).

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5 0
3 years ago
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