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ss7ja [257]
3 years ago
15

Solve for x.5(x – 10) = 30 – 15x

Mathematics
1 answer:
nlexa [21]3 years ago
6 0
5(x-10)=30-15x

5x-50=30-15x

20x=30+50
x=4.
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The graph below shows Sean's distance, d, from his home (in kilometers) as a function of the time, t (in hours).
sdas [7]

Answer:

20

20

5

Step-by-step explanation:

4 0
2 years ago
Determine how long it will take for a principal amount of $13,000 to double its initial value when deposited into an account pay
bezimeni [28]

Compound interest can be defined as the interest <em>on a deposited amount, an investment</em> that is <em>compounded based on its principal and interest rate.</em>

It will take about 3.239 years for the principal amount of $13,000 to double its initial value.

From the above question, we can deduce that we are to find the time "t"

The formula to find the time "t" in compound interest is given as:

t = ln(A/P) / r

where:

P = Principal = $13,000

R = Interest rate = 21.4%

A = Accumulated or final amount

From the question, the Amount "A" is said to be the double of the principla.

Hence,

A = $13,000 x 2

= $26,000

  • Step 1: First, convert R as a percent to r as a decimal

r = R/100

r = 21.4/100

r = 0.214 per year.

  • Step 2: Solve the equation for t

t = ln(A/P) / r

t = ln(26,000.00/13,000.00) / 0.214

t = 3.239 years

Therefore, it will take about 3.239 years for the principal amount of $13,000 to double its initial value.

To learn more, visit the link below:

brainly.com/question/22471957

7 0
3 years ago
Select the correct answer.<br> Which statement is true about a dot plot?
Lemur [1.5K]

Answer:

The statement that is true about dot plot is:

A dot plot shows the frequency of the individual values of any given data set

Step-by-step explanation:

A dot plot also known as a dot chart or a strip plot is just a display of the data depending upon the frequency of the values.

The dot plot is somewhat like the histogram but the difference is:

A histogram shows the frequency of an interval of values of any given data set.

     for example:

  we may make a histogram for the weight of students of a class.

  since we may divide the weight of the students into some interval.

whereas the dot plot gives the frequency of the individual data points or discrete data points.

      for example:

     we may plot a dot plot for rolling a number cube 20 times.

Hence, the correct statement is:

A dot plot shows the frequency of the individual values or of any given data set.

5 0
2 years ago
The quotient of 36 and 3 is j. write expression
Dovator [93]
This might be a mistake but i'll give it a go:

36/3 = j
4 0
3 years ago
Read 2 more answers
Match the following rational expressions to their rewritten forms.
Nookie1986 [14]

Answer:

Answer image is attached.

Step-by-step explanation:

Given rational expressions:

1.\ \dfrac{x^2+x+4}{x-2}\\2.\ \dfrac{x^2-x+4}{x-2}\\3.\ \dfrac{x^2-4x+10}{x-2}\\4.\ \dfrac{x^2-5x+16}{x-2}

And the rewritten forms:

(x-2)+\dfrac{6}{x-2}\\(x+3)+\dfrac{10}{x-2}\\(x+1)+\dfrac{6}{x-2}\\(x-3)+\dfrac{10}{x-2}

We have to match the rewritten terms with the given expressions.

Let us consider the rewritten terms and let us solve them one by one by taking LCM.

(x-2)+\dfrac{6}{x-2}\\\Rightarrow \dfrac{(x-2)^{2}+6 }{x-2}\\\Rightarrow \dfrac{x^2-4x+4+6 }{x-2}\\\Rightarrow \dfrac{x^2-4x+10}{x-2}

So, correct option is 3.

(x+3)+\dfrac{10}{x-2}\\\Rightarrow \dfrac{(x+3)(x-2)+10}{x-2}\\\Rightarrow \dfrac{(x^2+3x-2x-6)+10}{x-2}\\\Rightarrow \dfrac{x^2+x+4}{x-2}

So, correct option is 1.

(x+1)+\dfrac{6}{x-2}\\\Rightarrow \dfrac{(x+1)(x-2)+6}{x-2}\\\Rightarrow \dfrac{x^{2} +x-2x-2+6}{x-2}\\\Rightarrow \dfrac{x^{2} -x+4}{x-2}

So, correct option is 2.

(x-3)+\dfrac{10}{x-2}\\\Rightarrow \dfrac{(x-3)(x-2)+10}{x-2}\\\Rightarrow \dfrac{x^2-3x-2x+6+10}{x-2}\\\Rightarrow \dfrac{x^2-5x+16}{x-2}

So, correct option is 4.

The answer is also attached in the answer area.

7 0
2 years ago
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