47 was divided by the power of ten to get 0.047 what power of ten was divided

Mathematics

1 answer:

Dmitrij [34]3 years ago

3 0

Answer:

1,000

Step-by-step explanation:

47 to 0.047 moves 3 places

47, 4.7, 0.47, 0.047

this means that the power of then used should have 3 0's

making the power of ten 1,000

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A phone plan costs $29.99 per month and includes 200 minutes of calling time. Minutes over 200 are charged at a rate of 25 cents

mylen [45]

Step-by-step explanation:

357-200 is 157 extra minutes (we are only counting the extra minutes)

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therefore, add 39.25 and 29.99

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Therefore, the total bill was $62.24

hope this helps :)

Have a nice day !

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Write an equation in slope-intercept form from the points (0, 3) and (-4,-1)

Bezzdna [24]

Answer:

y = x + 3

Step-by-step explanation:

Slope-intercept form is represented by the formula $y = mx + b$ . We can write an equation in point-slope form first, then convert it to that form.

1) First, find the slope of the line. Use the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ and substitute the x and y values of the given points into it. Then, simplify to find the slope, or $m$ :

$m = \frac{(-1)-(3)}{(-4)-(0)} \\m = \frac{-1-3}{-4-0} \\m = \frac{-4}{-4} \\m = 1$

Thus, the slope of the line must be 1.

2) Now, since we know a point the line intersects and its slope, use the point-slope formula $y-y_1=m(x-x_1)$ and substitute values for $m$ , $x_1$ , and $y_1$ . From there, we can convert the equation into slope-intercept form.

Since $m$ represents the slope, substitute 1 in its place. Since $x_1$ and $y_1$ represent the x and y values of a point the line intersects, choose any one of the given points (either one is fine) and substitute its x and y values into the equation, too. (I chose (0,3).) Finally, isolate y to find the answer:

$y-3=1(x-0)\\y-3 = x\\y = x + 3$