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3 years ago

One light-year is equal to 9,460,600,000,000 kilometers. What is this distance represented in scientific notation

Mathematics

1 answer:

Vsevolod [243]3 years ago

7 0

Answer:

9.4606 × 10^12

Step-by-step explanation:

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Twenty-five percent of what number is 80?

tankabanditka [31]

The answer is 20
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3 years ago

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Juliet rented a car for one day from a company that charges $80 per day plus $0.15 per mile driven. If she was charged a total o

svlad2 [7]

Answer:

B) 120

Step-by-step explanation:

m = miles

$98=$80+$0.15m

$98-$80=$80-$80+$0.15m

$18=$0.15m

$18/$0.15=$0.15m/$0.15

120=m

Juliet drove 120 miles for $98.

(this is a good explanation, I guess)

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3 years ago

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Peter has 3200 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed a

salantis [7]

Answer:

$A = 640000\,yd^{2}$

Step-by-step explanation:

Expression for the rectangular area and perimeter are, respectively:

$A (x,y) = x\cdot y$

$3200\,yd = 2\cdot (x+y)$

After some algebraic manipulation, area expression can be reduce to an one-variable form:

$y = 1600 -x$

$A (x) = x\cdot (1600-x)$

The first derivative of the previous equation is:

$\frac{dA}{dx}= 1600-2\cdot x$

Let the expression be equalized to zero:

$1600-2\cdot x=0$

$x = 800$

The second derivative is:

$\frac{d^{2}A}{dx^{2}} = -2$

According to the Second Derivative Test, the critical value found in previous steps is a maximum. Then:

$y = 800$

The maximum area is:

$A = (800\,yd)\cdot (800\,yd)$

$A = 640000\,yd^{2}$

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4 years ago

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A piece of pie costs .10 and a cup of coffee costs .5. How much will 40 pieces of pie and 20 cups of coffee cost?

dybincka [34]

One pie costs 0.10
you are buying 40 pies so...
40 x 0.10 = $4

one cup of coffee costs 0.50
you are buying 20 coffee so...
20 x 0.50 = $10

$4 + $10 = $14

It costs $14 to buy 40 pieces of pie and 20 cups of coffee

7 0

3 years ago

Please answer this correctly I want helping hand people to answer this

kotykmax [81]

Answer:

Step-by-step explanation:

Take 4 times 2.5 since 25 / 10 = 2.5

4 x 2.5 = 10

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3 years ago

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One light-year is equal to 9,460,600,000,000 kilometers. What is this distance represented in scientific notation​

One light-year is equal to 9,460,600,000,000 kilometers. What is this distance represented in scientific notation