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Dmitry [639]
3 years ago
13

Given: x + 2 < -5. Choose the solution set.

Mathematics
2 answers:
stealth61 [152]3 years ago
5 0

<em><u>Answer:</u></em>

<em>x< −7</em>

<em><u>Step-by-step explanation:</u></em>

<em><u>Rearrange:</u></em>

<em>Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :</em>

<em></em>

<em>                     x+2-(-5)<0 </em>

<em></em>

<em><u>Step by step solution :</u></em>

<em><u>STEP 1:</u></em>

<em><u></u></em>

<em><u>Solve Basic Inequality :</u></em>

<em> 1.1      Subtract  7  from both sides</em>

<em></em>

<em>            x < -7</em>

<em></em>

<em><u>Inequality Plot :</u></em>

<em> 1.2      Inequality plot for</em>

<em></em>

<em>         x  + 7.000  <  0</em>

OLEGan [10]3 years ago
4 0

Answer:

x < -7

Step-by-step explanation:

to isolate x we need to subtract 2 from both sides. -5-2 is -7, so the answer is x < -7

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Consider a bag containing four red marbles, three green ones, one transparent one, three yellow ones, and three orange ones.
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Answer: 21

Step-by-step explanation:

Given : Number of red marbles = 4

Number of green marbles =3

Number of transparent marbles =1

Number of yellow marbles =3

Number of orange marbles =3

If we want to count the sets of five marbles are there in which none of them are red or green, the we exclude green and red marbles from the total marbles.

i.e. Total required marbles = 1+3+3=7

Now, the number of possible sets of five marbles are there:-

^7C_5=\dfrac{7!}{5!(7-5)!}=\dfrac{7\times6\times5!}{5!2!}=21

Hence, the number of possible sets of five marbles =21

5 0
3 years ago
The sides of a rectangle are 6.3 cm and 4.8cm, each correct to 1 decimal place.
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Error= 0.1/2, 0.05

4.8 + 0.05 = 4.85
6.3 + 0.05 = 6.35

4.85 x 6.35 = 30.7975 cm (when rounded, gives 30.80 cm).
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The wholesale price for a desk is $108. A certain furniture store marks up the wholesale price by 14%. Find the price of the des
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3 years ago
A carton can hold 1,000 unit cubes that measure 1 inch by inch.describe the dimensions of the carton using unit cubes
Romashka-Z-Leto [24]
You've told us the volume of the carton. 
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If the unit cubes have to exactly fit the dimensions,
then all we know is that the dimensions are integers,
and their product is 1,000.

The carton could be

1 by 1 by 1,000
1 by 2 by 500
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3 years ago
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Answer:

  A.  x + y = 34; 10x + 15y = 410

Step-by-step explanation:

Jody's total hours will be the sum of the hours spent on each job:

  x + y = 34 . . . . . total hours

Jody's total earnings will be the sum of the earnings from each job:

  10x +15y = 410 . . . total earnings

So, the system of equations is ...

  • x + y = 34
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3 0
3 years ago
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