An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

Here is how you translate the given statements into algebraic expressions for Activity 1:

Two more than y ballpens: y + 2

Thirteen pesos added to x pesos: x + 13

Eight subtracted from b marbles: b − 8

v increased by five candies: v + 5

Twice a number m bacteria: 2 m

Six less than m passengers: m − 6

z chocolates divided by seven persons: 7 z ​

Half of n kilograms of meat: 2 n ​

Twelve chocolates decreased by w chocolates: 12 − w

Twice a number c books: 2 c


For Activity 2, let's complete the squares by adding or subtracting the integers:
By using the given numbers, let's fill in the blanks:

When adding or subtracting across rows and columns, ensure consistent results.

Since additional information like specific values to fill is missing, further guidance can't be given without assumptions.
For Activity 3, let's find the sum or difference of the given monomials:

2 x + ( − 5 x ) = − 3 x

− 2 a 2 − ( − 6 a 2 ) = − 2 a 2 + 6 a 2 = 4 a 2

y + ( − y ) = 0

− 9 x 2 y 3 − ( − 9 x 2 y 3 ) = 0

12 a b 2 − a b 2 = 11 a b 2

− 16 m n 3 + ( − 12 m n 3 ) = − 28 m n 3

10 a 2 b 3 − ( − 8 a 2 b 3 ) + a 2 b 3 = 19 a 2 b 3

− 8 m 2 n 2 + 7 m 2 n 2 − 15 m 2 n 2 = − 16 m 2 n 2

− b 2 c 3 + ( − b 2 c 3 ) − ( − b 2 c 3 ) = − b 2 c 3

15 m 2 n 3 − 12 m 2 n 3 + 8 m 2 n 3 = 11 m 2 n 3

a 2 b 4 + 2 a 2 b 4 − 9 a 2 b 4 = − 6 a 2 b 4

− 18 x yz + ( − 5 x yz ) − ( − 12 x yz ) = − 11 x yz

11 ab − 6 ab − 15 ab = − 10 ab

− 21 x 4 + 17 x 4 − 12 x 4 = − 16 x 4


Each expression was simplified by combining like terms. This process involves adjusting positive and negative values accordingly and recognizing patterns among the coefficients.

Answered by LucasMatthewHarris | 2025-07-21

The number of electrons that flow through an electric device delivering a current of 15.0 A for 30 seconds is approximately 2.81 × 1 0 21 . This is calculated using the relationship between current, charge, and the charge of a single electron. The total charge is determined by multiplying the current by the time, and then dividing by the charge of an electron.
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Answered by LucasMatthewHarris | 2025-08-14