Three pounds of lawn seed covers 1800 square feet. How many bags are needed to cover 8400 square feet?

Mathematics

1 answer:

Effectus [21]3 years ago

6 0

just multiply 1800 by 8400 then divide by 4

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Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that

mezya [45]

Answer:

The formula to the sequence

-5, 10/3, -20/9, 40/27, -80/81, ...

(-1)^n. 5×2^(n-1). 3^(1-n)

For n = 1, 2, 3, ...

Step-by-step explanation:

The sequence is

-5, 10/3, -20/9, 40/27, -80/81, ...

By inspection, we see the following

- The numbers are alternating between - and +

- The numerator of a number is twice the numerator of the preceding number. The first number is 5.

- The denominator of a number is 3 raised to the power of (1 minus the position of the number)

Using these, we can write a formula for the sequence.

(-1)^n for n = 1, 2, 3, ... takes care of the alternation between + and -

5×2^(n-1) for n = 1, 2, 3, ... takes care of the numerators 5, 10, 20, 40, ...

3^(1-n) for n = 1, 2, 3, ... takes care of the denominators 1, 3, 9, 27, ...

Combining these, we have the formula to be

(-1)^n. 5×2^(n-1). 3^(1-n)

For n = 1, 2, 3, ...

8 0

3 years ago

Convert 7 grams into ounces. Round your answer to the nearest hundredth.

Anuta_ua [19.1K]

Answer:

0.25 ounces

Step-by-step explanation:

There are 28.3495 grams in an ounce. So we can create a ratio $\frac{28.3495}{1} =\frac{7}{x}$ . With this we can simplify into $x=\frac{7}{28.3495}$ by multiplying both sides by x and then dividing both sides by 28.3495. This simplified would leave you with 0.25 ounces (rounded to hundredths)