A laptop computer is priced at $650. If the sales tax is 5%, find the total cost of the computer, including sales tax.

Answers

Answer 1

Answer: price + tax

650 + 5/100 x 650

650 + 32,5

= $682,5

Answer 2

Answer: $100\%+5\%=105\%\n\n \$650-100\%\n \$x=105\%\n \n 650 \cdot 105=100x\n 68250=100x\ /:100\n x=\$682,5\n \n Answer:Total\ cost\ of\ the\ computer\ is\ \$682,5.$

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What Is the next number? 12 21 23 32 34 43

Answers

12 21 23 32 34 43
so, we add 11 to 12 and get 23, then we add 11 to 23 and get 34, now we have to add 11 to 34 and get 45, that is the next number:
12 21 23 32 34 43 45 54

The next number of the number series 12 21 23 32 34 43 would be; 54

We are given the series as;

12 21 23 32 34 43

First, we have to add 11 to 12

11 + 12 = 23,

then we add 11 to 23

11 + 23 = 34,

Now we have to add 11 to 34

11 + 34 =45,

This is the next number:

12 21 23 32 34 43 45 54

Learn more about numbers;

brainly.com/question/30241975

#SPJ6

What is 0.00001267 is scientific notation

Answers

$The\ scientific\ notation:a\cdot10^n\ where\ a\in(1;\ 10)\ and\ n\in\mathbb{Z}$

$0.\underbrace{00001}_(5\rightarrow)267=\boxed{1.267\cdot10^(-5)}$

Two triangles are similar. The sides of the first triangle are 8,10 and 12. The smallest side of the second triangle is 24. Find the perimeter of the second triangle.

Answers

The perimeter of the second triangle is 90 units.

What are similar figures?

Similar figure are zoomed in or zoomed out (or just no zoom) version of each other. They are scaled version of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.

So, if a side of a figure is of length L units, and that of its similar figure is of M units, then:

$L = k * M$

where 'k' will be called as scale factor.

The linear things grow linearly like length, height etc.

For this case, the two considered triangles are similar. Thus:

A side of first triangle = k times corresponding side of its similartriangle

where k is the scale factor, constant for one pair of similar triangles.

We're given that:

Sides of first triangle are of 8,10 and 12 unit length.

Smallest side of second triangle is of 24 units.

Now, smallest side of first triangle will correspond to the smallest side of its similar triangle.

For first triangle, the smallest side is of 8 units (8 is smaller than 10 and 12, the other two sides).

Let the sides of second triangle be of S = 24 units, M units, and L units.

where M is middle sized side and L is largest side of second triangle.

Let the scale factor be 'k'.

Then, we get:

Smallest side of first triangle = k × smallest side of its similar triangle

$8 = k * 24\n\nk = (8)/(24) = (1)/(3)$

Similarly, middle sized side of first triangle = (1/3) × middle sized side of second triangle

$10 = k * M = (1)/(3) * M\n\nM = 3 * 10 = 30$ units.

Thus, the length of middle sized side of second triangle is 30 units.

Largest side of first triangle = (1/3) × Largest side of second triangle

$12 = k * L = (1)/(3) * L\n\nL = 3 * 12 = 36$ units.

Thus, the length of middle sized side of second triangle is 30 units.

Perimeter of the second triangle = sum of length of its sides

= S + L + M = 24 + 30 + 36 = 90 units.

Thus, the perimeter of the second triangle is 90 units.

Learn more about scale factor here:

brainly.com/question/8765466

so 8*3=24, so multiply all of the sides by 3,
the other 2 are 30 and 36

Multiply 6 ∕5 × 25∕24

Answers

1) Write the question
6/5 x 25/24

2) Multiply the numerators and denominators
6 x 25 / 5 x 24

3) Answer it
150 / 120

4) Simplify
5 / 4

The above is the answer :)

A scientist begins an experiment with a culture of 5 bacteria cells. Every hour, the number of bacteria cells triples. Which equation can be used to represent the number of bacteria cells, y, as it relates to time in hours, x?

Answers

Answer:

y = 5 * (3^x)

Step-by-step explanation:A scientist begins an experiment with a culture of 5 bacteria cells.

Every hour, the number of bacteria cells triples.

Which equation can be used to represent the number of bacteria cells, y, as it relates to time in hours, x?

I think it would be y = 5 * (3^x)

Answer:

y=5(3)^x

Step-by-step explanation: i just got it right on my test

The correlation coefficient r between a child age x and the number of minutes spent doing homework each day y is 0.694.What percent of the variation?

A. 30.6%
B. 48.2%
C. 51.8%
D. 69.4%

Answers

The final answer to your question is that the percent variation of the correlation coefficient between a child age x and the number of minutes spent doing homework each day y with r = 0.694 is C. 51.8%.

Hope my answer would be a great help for you.

Answer:

The answer is 48.2%

Step-by-step explanation:

The correlation coefficient r between a child age x and the number of minutes spent doing homework each day y is 0.694 i.e r=0.694

Now, we have to find percent of the variation.

The coefficient of determination is $r^(2)$

The square of r(correlation coefficient) is the percent of variation that is explained by the dependent variable.

If r=0.694 ⇒ $r^(2)= (0.694)^(2)=0.482$ this means that 48.2% of variation in dependent variable.

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