Last year a large trucking company delivered 9.0x10^5 tons of goods with an average value of $17,000 per ton. what was the total value of the goods delivered? write the answer in scientific notation. 1.53x10^10dollars 1.53x10^12dollars 1.53x10^11 dollars 1.53x10^9dollars

The correct answer is:

1.53x10^10 dollars

Explanation:

We first write 9.0x10^5 in standard form.  The exponent of the power of 10, 5, tells us to move the decimal point 5 places.  Since it is positive, we move the decimal to the right (to make the number larger).  This gives us 900000 tons.

Each ton is worth $17,000.  This gives us a total value of

900000(17000) = 15300000000.

Our answer needs to be written in scientific notation.  This means we want the decimal after the first non-zero digit in the number; it goes behind the 1.  This makes 1.53.  To move the decimal here, we must move it 10 places; this gives us the answer of

1.53x10^10

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

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