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Aliun [14]
3 years ago
12

Solve Linear Equations with Rational Numbers #2

Mathematics
1 answer:
allochka39001 [22]3 years ago
7 0

Answer:

  multiply by 3, applying the multiplication property of equality

  -6/5x = 4y +6

Step-by-step explanation:

Your video probably tells you what is expected here.

Ordinarily, we would multiply both sides of the equation by the least common denominator of the fraction: 15. That would eliminate <em>all</em> of the fractions. Your form seems to indicate that the coefficient of x remains a fraction after the multiplication. That makes the intent unclear to those of us who have not seen your video.

The multiplication property of equality is applied.

<h3>1.</h3>

Multiply both sides of the equation by 15. This clears all the fractions.

  15(-\dfrac{2}{5}x)=15(\dfrac{4}{3}y+2)\\\\-6x=20y+30

__

<h3>2.</h3>

If we just clear the fraction for y, we do that by multiplying both sides by 3.

  3(-\dfrac{2}{5}x)=3(\dfrac{4}{3}y+2)\\\\\dfrac{-6}{5}x=4y+6

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Can someone please explain how to do this? Thanks!!
nataly862011 [7]

Answer:

hope it's correct and I helped

Step-by-step explanation:

3x + 6 = 18

4 0
3 years ago
Can someone please help super short
insens350 [35]

Answer:

542, 543, 544, 545.

Step-by-step explanation:

Divide 2174 by 4 = 543.5  

(because there are 4 integers) 543.5 is not an integer.

However, one of the four integers is 543.

Write down four consecutive numbers that include 543 and add them:  

like 541+542+543+544 =. if that is 2174, you have the answer, if it's too low, try moving up one number, like

542+543+544+545 = if it's still too low, move up one number again  

543+544+545+546=  

You only have to do that a max of 3 times to get the answer.

The four consecutive integers are  

542, 543, 544, 545.

<em>good luck, hope this helps :)</em>

3 0
3 years ago
Read 2 more answers
200 students in a high school senior class are surveyed about what majors they intend to declare in college. Of the 200 students
dedylja [7]

Answer:

  • <u><em>P(M) = 0.4</em></u>

Explanation:

<u>1. Build a two-way frequency table:</u>

To have a complete understanding of the scenary build a two-way frequency table.

  • <u>Column and rows:</u>

                                  Major in math    No major in math  Total

Major in CS

No major in CS

Total

  • <u>200 students:</u>

                                  Major in math    No major in math  Total

Major in CS

No major in CS

Total                                                                                      200

  • <u>80 plan to major in mathematics:</u>

                                  Major in math    No major in math  Total

Major in CS

No major in CS

Total                              80                                                   200

  • <u>100 plan to major in computer science</u>:

                                  Major in math    No major in math  Total

Major in CS                                                                           100

No major in CS

Total                              80                                                   200

  • <u>30 plan to pursue a double major in mathematics and computer science</u>:

                                  Major in math    No major in math  Total

Major in CS                  30                                                      100

No major in CS

Total                              80                                                    200

  • <u>Complete the missing numbers by subtraction</u>:

                                  Major in math    No major in math  Total

Major in CS                   30                              70                 100

No major in CS                                                                     100

Total                              80                             120                200

                                  Major in math    No major in math  Total

Major in CS                   30                              70                 100

No major in CS             50                              50                 100

Total                              80                             120                200

<u>2. What is P(M), the probability that a student plans to major in mathematics?</u>

  • P(M) = number of students who plan to major in mathematics / number of students

  • P(M) = 80 / 200 = 0.4
5 0
4 years ago
Larson's beehive farm usually produces 85 pounds of honey per year. About how many pounds of honey will 10 to the 3rd power hive
Mazyrski [523]
Solve this problem using an equation of ratios:


85 pounds
--------------  =  ?
    1 year

I think you may have omitted some key info from this problem.  You don't say how many hives are on this farm, for example.  
4 0
3 years ago
Lin runs 8 laps around a track in 26 minutes.
lyudmila [28]

Answer:

Step-by-step explanation:

26/8=3.25

6 0
3 years ago
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