1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vodka [1.7K]
3 years ago
5

Show that 5(3y-2)=15y-10 for at least 5 values of y

Mathematics
1 answer:
Vsevolod [243]3 years ago
7 0
<span>Solving the equation for Y = 1. 5 * (3 * 1 - 2) = 15 * 1 - 10 5 * (3 - 2) = 15 -10 5 * 1 = 5 5 = 5 Solving the equation for Y = 2. 5 * (3 * 2 - 2) = 15 * 2 - 10 5 * (6 - 2) = 30 -10 5 * 4 = 20 20 = 20 Solving the equation for Y = 4. 5 * (3 * 4 - 2) = 15 * 4 - 10 5 * (12 - 2) = 60 -10 5 * 10 = 50 50 = 50 Solving the equation for Y = 8. 5 * (3 * 8 - 2) = 15 * 8 - 10 5 * (24 - 2) = 120 -10 5 * 22 = 110 110 = 110 Solving the equation for Y = 9. 5 * (3 * 9 - 2) = 15 * 9 - 10 5 * (27 - 2) = 135 -10 5 * 25 = 125 125 = 125 This proves that the equation holds good for at least 5 values of 'y', which are 1, 2, 4, 8 and 9. However, it can be proved that the equation holds good for any value of y. Expression 5(3y-2) can be simplified to 15y -10 which is the same expression on the right had side of the equation provided. So, equation 5(3y-2)=15y-10 is actually 15y-10=15y-10 and since this is true for all values of y, it has been proved that it is true for at least 5 values of y.</span>
You might be interested in
Combine like terms <br> 4x+3(2x+5b)-4b-2x+6
Ahat [919]

Answer:

  • \boxed{\sf{8x+11b+6}}

Step-by-step explanation:

To solve this problem, you have to combine like terms of x and b from one side of the equation.

<h3>4x+3(2x+5b)-4b-2x+6</h3>

<u>Combine like terms.</u>

3(2x+5b)+4x-2x-4b+6

<u>Solve.</u>

4x-2x=2x

Rewrite the problem down.

3(2x+5b)+2x-4b+6

Expand the form.

Use a distributive property.

<u>Distributive property:</u>

A(B+C)=AB+AC

3(2x+5b)

<u>Multiply.</u>

3*2x=6x

3*5b=15b

<u>Rewrite the problem.</u>

6x+15b

6x+15b+2x-4b+6

<u>Combine like terms.</u>

6x+2x+15b-4b+6

<u>Add the numbers from left to right.</u>

6x+2x=8x

8x+15b-4b+6

<u>Then, you add again.</u>

15b-4b=11b

<u>= 8x+11b+6</u>

  • <u>Therefore, the final answer is 8x+11b+6.</u>

I hope this helps you! Let me know if my answer is wrong or not.

4 0
2 years ago
Read 2 more answers
MATH
Cerrena [4.2K]

Answer:

1. x = 86

2. x = 31

3. x = 64

4. x = 29

Step-by-step explanation:

1. 2x + 8 = 180

-8 -8

2x = 180 (divide both sides by 2 to get x by itself)

2. 3x - 3 = 90

+ 3 +3

3x = 93 (divide both sides by 3 to get x by itself. you divide because 3x is multiplying and you have to do the reverse operation)

3. 2x -5 + x - 7 = 180 (you combine like-terms)

3x -12 = 180

+12 +12

3x = 192 (you divide by 3 on both sides)

4. x + 1 + x + 4 + x - 2 = 90 (combine like-terms)

3x + 3 = 90

-3 -3

3x = 87 (divide both sides by 3)

4 0
3 years ago
What is less than 0.625
lidiya [134]
0.624 is less than 0.625
8 0
2 years ago
Read 2 more answers
Which of the following expressions are equivalent?
Dmitry [639]

Answer:

B. 7(6x – 1) and 42x – 7 is equivalent

Step-by-step explanation:

A. –3(3x + 5) and –9x + 5

=–3(3x + 5)=-9x-15 not equivalent

B. 7(6x – 1) and 42x – 7

7(6x – 1)=42x-7 equivalent

C. –6(4x – 3) and –6x

=–6(4x – 3)=-24+18 not equivalent

D. 5(2x + 3y) and 25xy

=5(2x + 3y)=10x+15y not equivalent.

4 0
3 years ago
Round the following problems to the nearest ten.
tatyana61 [14]
20,20,50,40,80,70.......
8 0
3 years ago
Read 2 more answers
Other questions:
  • About how many kilometers are in 0.5 light-years?
    9·1 answer
  • The set M represents multiples of 4 from 6 to 38. M=8,12,16,20,24,28,32,36 The set N represents even numbers from 4 to 13. N=4,6
    11·1 answer
  • Please can someone help me thank you loads
    9·2 answers
  • PLEASE HELP IM FAILING!!!!!!
    14·1 answer
  • Jean-Paul Sovique, the famous sculptor, is building a solid conical sculpture. He has 1,178.1 cubic feet of clay to work with, a
    9·1 answer
  • There are t teams in a soccer league.Each team has 11 players.Make a table , write an equation , and draw a graph to describe th
    6·1 answer
  • 7000 divided by ten squared
    7·2 answers
  • Can someone help me with number 20
    12·1 answer
  • -5/9-7/12 PLEASE HELP RIGHT NOW
    10·2 answers
  • What is the sale price of a hardcover book with a markdown of 46% and original price of 29.00 what is the discount amount
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!