A hardware store sells drywall screws by the pound. If one drywall screw weighs [tex]4.4 \times 10^{-3}[/tex] pounds, how many pounds do 5,000 drywall screws weigh?

A. [tex]1.1 \times 10^{-4}[/tex] pounds
B. [tex]9.9 \times 10^{-1}[/tex] pounds
C. [tex]9.9 \times 10^{-4}[/tex] pounds
D. [tex]99 \times 10^{-3}[/tex] pounds

Question

High School

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Answer :

nobomika97 nobomika97 · Answer 1 · 2025-05-15T05:08:43-04:00

5,000 drywall screws weigh [tex]\( 2.2 \times 10^{-2} \)[/tex] pounds.

To find out how many pounds 5,000 drywall screws weigh, we need to multiply the weight of one drywall screw by the number of screws:

Given:

- Weight of one drywall screw, [tex]\( J = 4.4 \times 10^{-3} \)[/tex]pounds

- Number of drywall screws, N = 5,000

We can calculate the total weight W of 5,000 drywall screws using the formula:

[tex]\[ W = J \times N \][/tex]

Substitute the given values:

[tex]\[ W = 4.4 \times 10^{-3} \, \text{pounds/screw} \times 5,000 \, \text{screws} \][/tex]

[tex]\[ W = (4.4 \times 10^{-3}) \times (5 \times 10^3) \, \text{pounds} \][/tex]

[tex]\[ W = 22 \times 10^{-3} \, \text{pounds} \][/tex]

[tex]\[ W = 2.2 \times 10^{-2} \, \text{pounds} \][/tex]

Therefore, 5,000 drywall screws weigh [tex]\( 2.2 \times 10^{-2} \)[/tex] pounds.

So, the correct option is:

o [tex]\( 2.2 \times 10^{-2} \)[/tex]pounds

The probable question maybe:

A hardware store sells drywall screws by the pound. If J drywall screw weighs 4.4 x 10⁻³ pound, how many pounds do 5, 000 drywall screws weigh?

o 2.2 x 10⁻2 pounds

o 9.9 x 10⁻¹ pounds

o 9.9 x 10⁻⁴ pounds

o 99 x 10⁻³ pounds