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vazorg [7]
3 years ago
14

5x-(x+3)=1/3 (9x+18)-5 Please show me step by step

Mathematics
1 answer:
zzz [600]3 years ago
3 0

Step-by-step explanation:

5x-(x+3)=1/3(9x+18)-5

5x-x+3=3x+6-5

1/3 multiplied by 9/1 is three because if you take away the ones and put your problem like this: 9/3, you'll get 3.

1/3 multiplied by 18/1 is six because if you take away the ones and switch to division, it'll look like this: 18/3. 18/3 is 6.

5x-1x+3=3x+6-5

If a variable is alone, you should - in this case - put a one before it, but if the variable is alone you should know that it's automatically a one.

4x+3=3x-1

6-5=1 Simple math problem, probably self explanatory

4x+3=3x-1

Subtract 3x from 4x and you'll get 1x because 4-3 is 1.

1x+3=-1

Then you add 3 to -1 which is 2.

The answer is 1x=2

Or you could've done:

4x+3=3x-1

-4x    -4x

    3=-1x-1

 +-1    +-1

2=1x

It's the same answer, but all I did was subtract the 4x from the 4x and 3x.

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Which variable expression represents the phrase the product of h and p
lutik1710 [3]

Answer:

hp

Step-by-step explanation:

Here, we want to write the variable expression representing the product of h and p

Mathematically, what we just have to do here is multiply h by p

That will be;

h * p = hp

7 0
3 years ago
a fair sold a total of 3,300 tickets on Friday and Saturday. It sold 100 more on Friday than on Saturday. How many tickets did t
xz_007 [3.2K]
3200 is the answer thank you
6 0
3 years ago
Peer review involves scientists openly publishing details of the methods they used, the results of
IrinaK [193]

Answer: 1. Peer review involves scientists openly publishing details of the methods they used, the results of

their experiments, and the reasoning behind their hypotheses for other scientists working in the

same field to evaluate. = B true .

2. Data from controlled experiments can provide evidence that one variable causes another. = B true .

Step-by-step explanation:

Peer review is when a scientist conducts an experiment and then gives all of their information and findings to peers in order for them to follow the findings and see if the first findings are rational.

4 0
3 years ago
Scores on a final exam taken by 1200 students have a bell shaped distribution with mean=72 and standard deviation=9
SVETLANKA909090 [29]

Answer:

a. 72

b. 816

c. 570

d. 30

Step-by-step explanation:

Given the graph is a bell - shaped curve. So, we understand that this is a normal distribution and that the bell - shaped curve is a symmetric curve.

Please refer the figure for a better understanding.

a. In a normal distribution, Mean = Median = Mode

Therefore, Median = Mean = 72

b. We have to know that 68% of the values are within the first standard deviation of the mean.

i.e., 68% values are between Mean $ \pm $ Standard Deviation (SD).

Scores between 63 and 81 :

Note that 72 - 9 = 63 and

72 + 9 = 81

This implies scores between 63 and 81 constitute 68% of the values, 34% each, since the curve is symmetric.

Now, Scores between 63 and 81 = $ \frac{68}{100} \times 1200 $

= 68 X 12 = 816.

That means 816 students have scored between 63 and 81.

c. We have to know that 95% of the values lie between second Standard Deviation of the mean.

i.e., 95% values are between Mean $ \pm $ 2(SD).

Note that 90 = 72 + 2(9) = 72 + 18

Also, 54 = 63 - 18.

Scores between 54 and 90 totally constitute 95% of the values. So, Scores between 72 and 90 should amount to $ \frac{95}{2} \% $ of the values.

Therefore, Scores between 72 and 90 = $ \frac{95}{2(100)} \times 1200 = \frac{95}{200} \times 1200  $

$ \implies 95 \times 12 $ = 570.

That is a total of 570 students scored between 72 and 90.

d. We have to know that 5 % of the values lie on the thirst standard Deviation of the mean.

In this case, 5 % of the values lie between below 54 and above 90.

Since, we are asked to find scores below 54. It should be 2.5% of the values.

So, Scores below 54 = $ \frac{2.5}{100} \times 1200 $

= 2.5 X 12 = 30.

That is, 30 students have scored below 54.

8 0
3 years ago
4y + 12 = 7 - 5y thank you :)
riadik2000 [5.3K]
Y= -5 i am pretty sure
3 0
3 years ago
Read 2 more answers
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