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inessss [21]
3 years ago
14

What is the solution to the equation? 3 (4x– 1) + x = 5x – 4 (1 – 2x) + 1

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
8 0

Answer:

x=1

Step-by-step explanation:

12x -3 + x =5x - 4 +8x +1

13x-3=13x - 3

+3     +3

____________-

13x=13x

÷13x   ÷13x

_________

x=1

Hope this helps :D  (idk if its right srry if not)

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Prove that the difference between a two-digit number and the product of its digits will always be a 2 digit number.
slamgirl [31]

Step-by-step explanation:

Let the two-digit number is xy

<u>This can be written as:</u>

  • 10x + y, where 1 ≤ x ≤ 9 and 0 ≤ y ≤ 9

<u>The difference between the number and product of its digits is:</u>

  • d = 10x + y - xy

<u>Rewrite this as below:</u>

d = 10x - xy + y - 10 + 10 =

     x(10 - y) - (10 - y) + 10 =

     (x - 1)(10 - y) + 10

<u>We see that:</u>

  • 0 ≤ x - 1 ≤ 8 according to the condition given above
  • 1 ≤ 10 - y ≤ 10 again according to the condition given above

<u>The value of d is then:</u>

  • 0 + 10 ≤ d ≤ 8*10 + 10
  • 10 ≤ d ≤ 90
<h3>Proved</h3>
7 0
3 years ago
Read 2 more answers
The index number representing the price level changes from 109 to 113 in one year. The inflation rate during the year is _____ p
Dima020 [189]

First, get the difference between the price level changes.

113-109=4

Then, divide it by the initial price level, which is 109.

\frac{4}{109}=0.0367

Multiply by 100 to get its percent.

0.0367\times100=3.67

Thefore, the inflation rate during the year is 3.67 percent.

8 0
1 year ago
A trapezoid has base lengths of 2.5 inches and 10 inches and an altitude of 8 inches. What is the area of the trapezoid?
lisov135 [29]
A= 50. 2.5+10= 12.5/2= 6.25x8= 50
5 0
3 years ago
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If you received a score of 80% on an assignment,what is the ratio of correct answers to incorrect answers
Cerrena [4.2K]
Im not really sure so ill just give it a try.
mayeb 70? ten less"
6 0
3 years ago
I need some help please​
Mama L [17]

Answer:

109

Step-by-step explanation:

Formula

<ZHG + <IHZ = <IHG

Givens

<ZHF = 11x - 1

<IHZ = 24

<IHG = 12x + 13

Solution

11x - 1 + 24 = 12x + 13             Combine terms on the left

11x + 23 = 12x + 13                  Subtract 13 from both sides

<u>      - 13             - 13  </u>

11x + 10 = 12x                           Subtract 11x from both sides

<u>-11x           -11x</u>

        10 =   x

Answer

11x - 1 = 11*10 - 1 = 110 - 1 = 109

7 0
3 years ago
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