Which properties were used to solve the following problem?

Mathematics

1 answer:

Stels [109]3 years ago

5 0

Step-by-step explanation:

25(2x) + 25(3y)

25 · (2 · x) + 25 · (3 · y)

(25 · 2) · x + (25 · 3) · y Associative property (a · b) · c = a · (b · c)

(25 · 2)x + (25 · 3)y

(2 · 25)x + (3 · 25)y Commutative property a · b = b · a

50x + 75y

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Is 8/6 greater than or less than 11/12

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3 years ago

Need help #1. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.

Rufina [12.5K]

Answer:

Step-by-step explanation:

We are given that x and y are functions of time t such that x and y is a constant. So, we can write the following equation:

$x(t)+y(t)=k,\text{ where $k$ is some constant}$

The rate of change of x and the rate of change of y with respect to time t is simply dx/dt and dy/dt, respectively. So, we will differentiate both sides with respect to t:

$\displaystyle \frac{d}{dt}\Big[x(t)+y(t)\Big]=\frac{d}{dt}[k]$