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Alex73 [517]
3 years ago
9

Solve the following inequality 5x+12+3x<36

Mathematics
1 answer:
Anni [7]3 years ago
5 0

Answer:

x<3

Step-by-step explanation:

5x+12+3x<36

First subtract 12 from both sides.

5x+3x<24

Next combine like terms on the left side (5x and 3x)

8x<24

Next divide 8 from both sides

x<3

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The correlation coefficient for practicing violin and getting better grades in a group of people is 0.8. Analyze the following s
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I think the correct answer from the choices listed above is the second option. The conclusion saying playing violin causes students to get better grades is a reasonable conclusion. This is because the correlation coefficient is above 0.5, so that implies causation. Hope this answers the question.
 
4 0
3 years ago
Read 2 more answers
5 grams of chucknorrisidium created, decays at a half-life of 16,000,000 Need 1 gram for experiments. How long before the is 1 g
devlian [24]

Answer:

the time taken for the element to remain 1 gram is 38,400,000 unit.

Step-by-step explanation:

Given;

initial mass, m = 5 g

half life, t = 16,000,000 unit

The time taken for the element to remain 1 gram is calculated as;

          mass remaining                                      time

             5 g                                                        0

             2.5 g                                                    16,000,000

             1.25 g                                                   32,000,000

            0.625 g                                                 48,000,000

Interpolate to obtain the time at 1 gram;

1.25 g ----------------------------------   32,000,000

1 g --------------------------------------------- x

0.625 g --------------------------------------- 48,000,000

\frac{1.25 - 1}{1.25 - 0.625} = \frac{32,000,000 - x}{32,000,000 - 48,000,000} \\\\\frac{0.25}{0.625} = \frac{32,000,000 - x}{-16,000,000} \\\\-4,000,000= 20,000,000 - 0.625x\\\\0.625x = 20,000,000 + 4,000,000\\\\0.625x =  24,000,000\\\\x = \frac{24,000,000}{0.625} \\\\x = 38,400,000

Therefore, the time taken for the element to remain 1 gram is 38,400,000 unit.

         

8 0
2 years ago
The charge per mile for a compact rental car at 4-D Rentals is $0.12. Mrs.Rodriguez is on a business trip and must rent a car to
MArishka [77]
60 divided by .12 is 500
4 0
3 years ago
In 2011, a firm books the following:  increase in cash, $0; increase in inventories $13; increase in accounts receivable, $29; i
zmey [24]
<span>given: increase in inventories= $13 increase in accounts receivable =$29 increase in accounts payable=$17 solution: change in net working capital = increase in inventories + increase in accounts receivable - increase in accounts payable. change in net working capital = 13+29-17 = $25</span>
6 0
3 years ago
How do I solve this step by step?
Zinaida [17]

Answer:

45

Step-by-step explanation:

plug in 3 where the xs are

2(3)(6(3)-5(3))+(3)^2(5(3)-4(3)=45

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6(3)=18

-5(3)=15

(3)^2=9

5(3)=15

-4(3)=-12

8 0
3 years ago
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