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nadya68 [22]
1 year ago
8

3/4(2x-3) = 2/3 x+5 with detailed explanation

Mathematics
2 answers:
Vlad [161]1 year ago
6 0

Answer:

x = 11

Step-by-step explanation:

3/(3(2x-3)) = 2/(3x+5)

3(2x-3) = 6x - 9

3/(6x-9) = 2/(3x+5)

3(3x+5) = 2(6x-9)

9x + 15 = 12x - 18

12x - 9x = 15 + 18

3x = 33

x = 11

AlekseyPX1 year ago
5 0

Answer:

\mathrm x= \dfrac{87}{10}  \quad or  \quad  8.7

Explanation:

\longrightarrow \sf \dfrac{3}{4} (2x-3)=\:\dfrac{2}{3}\:x+5

  • Distribute inside parenthesis

\longrightarrow \sf \dfrac{3}{2} x-\dfrac{9}{4} =\:\dfrac{2}{3}\:x+5

  • Group the variables

\longrightarrow \sf \dfrac{3}{2} x-\dfrac{2}{3}x=5+\dfrac{9}{4}

  • Add or Subtract

\longrightarrow \sf \dfrac{5}{6} x=\dfrac{29}{4}

  • Cross Multiply

\longrightarrow \sf  x=\dfrac{29(6)}{4(5)}

  • Simplify the following

\longrightarrow \sf  x=\dfrac{87}{10} \quad or \quad 8.7

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wendy is logging the number of video game levels she wins per hour. she has determined the function to be f(x) = 6x + 9, where x
True [87]
Since we are talking about real quantities (hours), x should be positive. Also, you need to take into account that Wendy needs to play in order to win game levels.
Therefore the domain will be: x > 0
5 0
2 years ago
If the ratio of purple marbles to orange marbles is 3 to 8, how many orange marbles will I have if I have 48 purple marbles?
sveticcg [70]

Answer:

You will have 128 orange marbles

Step-by-step explanation:

Set this up as an equation

Variable x = number of orange marbles

3/8 = 48/x

Cross multiply

3 × x = 8 × 48

3x = 384

Divide both sides by 3 to isolate the variable

3x ÷ 3 = 384 ÷ 3

1x = 128

x = 128

128 orange marbles

Check work:

Substitute the variable x for the answer

3/8 = 48/128

Cross multiply

3 × 128 = 8 × 48

384 = 384

If the numbers equal, the answer is correct

6 0
3 years ago
Read 2 more answers
Explain how to find which is greater 1/4 of 12 or 1/3 of 12
stiks02 [169]
1/3 would be greater because 
1/3 of 12= 4 while 
1/4 of 12 = 3
to check your work you would get a calculator (if possible) and divide 3by 12 or 4 by 12 then if you get .33 (divide 3 by 12 like 3/12) its 1/3. if its .25 (divide 4 by 12 like 4/12) its 1/4
4 0
2 years ago
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A bookstore manager marks down the price of older hardcover books, which originally sell for b dollars, by 52%.
mafiozo [28]

Complete question :

A bookstore manager marks down the price of older hardcover books, which originally sell for b dollars, by 52%.

a. Write the markdown as a decimal. b. Write an expression for the sale price of the hardcover book.

Answer:

0.52 ; 0.52b

Step-by-step explanation:

The markdown percentage = 52%

Expresaing markdown as a decimal :

52% = 52 / 100 = 0.52

Expression for the sale price of hardcover book:

Original price = b

Price was marked down by 0.52

Hence, sales price becomes ;

Original price * markdown

b * 0.52

0.52b

3 0
2 years ago
Add and simplify: 9/16 + 1/2=?
kozerog [31]
9/16+ 1/2
= 9/16+ (1*8) / (2*8) 
= 9/16+ 8/16 (common denominator is 16)
= (9+8)/16
= 17/16
= (16+1)/16
= 16/16+ 1/16
= 1+ 1/16
= 1 1/16

The final answer is 1 1/16~
8 0
3 years ago
Read 2 more answers
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