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Dmitriy789 [7]
3 years ago
12

What is the first step In solving a question with variables on both sides

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
8 0

Answer:

  • Identify the variable term on one side and subtract it from both sides.

Step-by-step explanation:

We assume the question relates to terms containing the variable you want to solve for.

In general, you want to rearrange the equation so there is only one term containing the variable of interest. This can be accomplished by identifying the variable term(s) on one side of the equation and subtracting that from both sides of the equation.

For <u>example</u>, consider ...

  ax + b = cx + d

<u><em>First step</em></u>

Terms ax and cx are on opposite sides of the equal sign. If we're solving for x, we need to remove one of those terms. We can do that by subtracting cx from both sides of the equation:

  ax -cx +b = cx -cx +d  . . . . . showing the subtraction

  x(a -c) +b = d . . . . . . . . . . . . .the simplified result of the subtraction

_____

<em>Additional comment</em>

Please note that the coefficient of the variable is now (a-c). This will be <em>positive</em> if the term we subtracted (cx) had the smaller of the two coefficients (c < a). While not essential, this is a convenient choice to make when choosing which term to subtract.

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If the number of professors in a college is P and the number of students is S, and there are 19 times as many students as profes
morpeh [17]

Answer:

S =19P\\S-19P = 0                              

Step-by-step explanation:

We are given the following in the question:

Let P be the number of professor and S be the student in a college.

According to the question:

There are 19 times as many students as professors.

We have to write an equation to show the given relationship between professors and students.

S =19P\\S-19P = 0

The above situation is the situation that represents the given relationship.

5 0
3 years ago
How to do steps in a division problem of 616 divided by 2
leva [86]

Answer:

308

Step-by-step explanation:

616÷2 ***************************

3 0
3 years ago
Four members from a 45​-person committee are to be selected randomly to serve as​ chairperson, vice-chairperson,​ secretary, and
wariber [46]

Answer:

3575880

Step-by-step explanation:

We need to use Permutation method,

nPr= \frac{n!}{(n-r)!}

Where n is the sample of size and r the combination considered, so

n=45\\r=4\\45P4= \frac{45!}{(45-4)!}\\45P4 = 3575880

There is 3575880 possibilities to make leadership structures in that committee

6 0
3 years ago
The average salary of all residents of a city is thought to be about $39,000. A research team surveys a random sample of 200 res
Rina8888 [55]

Answer:

z=\frac{40000-39000}{\frac{12000}{\sqrt{200}}}=1.179    

p_v =2*P(z>1.179)=2*[1-P(Z    

Step-by-step explanation:

Data given and notation    

\bar X=4000 represent the average score for the sample    

s=12000 represent the sample standard deviation    

n=200 sample size    

\mu_o =39000 represent the value that we want to test    

\alpha represent the significance level for the hypothesis test.    

z would represent the statistic (variable of interest)    

p_v represent the p value for the test (variable of interest)    

State the null and alternative hypotheses.    

We need to apply a two tailed test.    

What are H0 and Ha for this study?    

Null hypothesis:  \mu = 39000    

Alternative hypothesis :\mu \neq 39000    

Compute the test statistic  

The sample size is large enough to assume the distribution for the statisitc normal. The statistic for this case is given by:    

z=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)    

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".    

We can replace in formula (1) the info given like this:    

z=\frac{40000-39000}{\frac{12000}{\sqrt{200}}}=1.179    

Give the appropriate conclusion for the test  

Since is a two tailed test the p value would be:    

p_v =2*P(z>1.179)=2*[1-P(Z    

Conclusion    

If we compare the p value and a significance level given for example \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, then the true population mean for the salary not differs significantly from the value of 39000.    

6 0
3 years ago
What is the range of f(x) = ( 3/4 ) x - 4?
worty [1.4K]

it's B

I just took the test

7 0
3 years ago
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