There are 800 bags of beans. Each bag contains 20,000 beans. How many beans are there in all?

16,000,000 beans total.

Step-by-step explanation:

Start with what you're given. Each bag has 20,000 beans, right?

There are, for some unknown, ungodly reason, 800 bags. Okay, great. It's a lot of bags of beans and I don't understand why there needs to be so much, but this is math. Most "related to real-world" problems in math don't make logical sense.

So we've established how many bags there are, and how many beans each bag has. You'll need to multiply those two together to get how many beans there are total. However, 20,000 times 800 is a very ridiculously large number and takes a lot of time. So, how do we make it easier to understand?

We focus on the most important parts.

800 and 20,000 are large numbers, but simple as well. The only digits are 8 and 2, followed by zeroes. Just multiply 8 times 2, and you get 16. Now add the number of zeroes from 800, and the number of zeroes from 20,000, and you'll end up with 6 zeroes.

So your answer should be 16 followed by 6 zeroes, or 16,000,000.

That's a lot of beans.

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

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!