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Nikolay [14]
3 years ago
12

Simplify the expression ​

Mathematics
1 answer:
finlep [7]3 years ago
3 0

Answer:

\frac{2*x - 2}{2*x}  - \frac{3*x + 2}{4*x} = \frac{x - 6}{4*x}

Step-by-step explanation:

We have the expression:

\frac{2*x - 2}{2*x}  - \frac{3*x + 2}{4*x}

The first thing we want to do, is to have the same denominator in both equations, then we need to multiply the first term by (2/2), so the denominator becomes 4*x

We will get:

(\frac{2}{2} )\frac{2*x - 2}{2*x}  - \frac{3*x + 2}{4*x} = \frac{4*x - 4}{4*x}  - \frac{3*x + 2}{4*x}

Now we can directly add the terms to get:

\frac{4*x - 4}{4*x}  - \frac{3*x + 2}{4*x} = \frac{4*x - 4 - 3*x - 2}{4*x}  = \frac{x - 6}{4*x}

We can't simplify this anymore

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Adhy, Ben and Clayson shared a bag of chocolates. The ratio of Adhy's share to Ben's share is 3:4 while
Ira Lisetskai [31]

Answer:   33

<u>Step-by-step explanation:</u>

The ratio of Adhy's to Ben's is 3:4 so let

Adhy = 3x

Ben = 4x

Since Ben = Adhy + 9

then   4x   =    3x    + 9

-->        x    =  9

So, Adhy = 3x  = 3(9)   = 27

     Ben   = 4x   = 4(9)   = 36

*************************************************************

The ratio of Ben's to Clayson's is 3:5

How do we get Ben's ratio of 3 equal to 36? <em>by multiplying by 12</em>

Ben  :  Clayson

<u>3 x 12</u>    <u>5 x 12</u>

 36          60

So, Clayson = 60

***********************************************************

The difference between Adhy and Clayson is:

Clayson - Adhy

   60     -    27    = 33

3 0
3 years ago
Drag the expression that is the most reasonable measurement for each object.
Luba_88 [7]

Answer:

the firs box goes in the elephant one

Step-by-step explanation:

7 0
2 years ago
If lisa can run a mile in 7 minutes. At that rate of speed, how long would it take her to run 2 kilometers?
murzikaleks [220]

Answer:

8.75

Step-by-step explanation:

1 mile = 1.6 km

So, every 7 minutes, 1.6 km is ran.

Divide 1.6 by 2 to figure out how much more she is running.

1.6 / 2 = 0.8

Divide the known pace by the extra distance to figure out the time

7 min / 0.8 km = 8.75 min

5 0
3 years ago
6. Estimate by clustering: 56.9, 63.2, 59.3, 61.1<br><br> A. 240.0<br><br> B. 200.0
Andre45 [30]
B!!!!!!!!!! The answer is 200

EXPLANATION

Added sum is estimated to 200
7 0
3 years ago
Read 2 more answers
Debby, Ella and Unique invest $10,000 each into an oil company. Debby owns 2000 $1 common stocks, Ella owns 1000 of 5% $50 prefe
Mashutka [201]

Answer:

Ella has the greatest return in the current year.

Step-by-step explanation:

Debby would receive $0.80 for each of her 2000 common stock in the oil company,hence Debby's return on investment in the current year is $1600($0.80*2000)

Besides,Ella's return on the stock investment in the current year is computed thus:

Ella's return= 5%*1000*$50=$2,500

In addition,Unique's dollar return on the investment is computed as follows:

Unique's return on  investment=4%*2000*$20=$1,600

From the above computations,Ella seems to have the highest return in the current year of $2,500 whereas the two others managed to have $1600 return each

5 0
3 years ago
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