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3 years ago

Which pair of expressions are equivalent?

Mathematics

2 answers:

mixas84 [53]3 years ago

7 0

Answer:

D: x + y and x -- y + 2y

Step-by-step explanation:

The pair of expressions in the option D are equivalent. Equivalent expressions are those algebric expressions that will help you obtain the same results, even though they look different. (you can get the same results, independently of the number used in the place of the variables.)

x - y + 2y= x + y

- y + 2 y = + 1 y = + y

x + y; x + y

g100num [7]3 years ago

4 0

D is equivalent
x-y+2y=x+y

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Step-by-step explanation:

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2 years ago

In 1960, the population of a town was 14 thousand people. Over the course of the next 50 years, the town grew at a rate of 30 pe

andre [41]

SOLUTIONS

Given: Assume y is the population

$\begin{gathered} t=0=1960,y=14030 \\ t=1=1961,y=14060 \\ so\text{ b = 14000} \\ so\text{ k = 30} \end{gathered}$

The town grow at the rate of 30 people per year.

$y=kt+14000$ $y=30t+14000$

(A) The population predicted to be in 2030 will be

$\begin{gathered} 2030-1960=70 \\ y=30k+14000 \\ y=30(70)+14000 \\ y=2100+14000 \\ y=16100people \end{gathered}$

(B) so when y = 15000, find t

$\begin{gathered} y=15000 \\ y=30t+14000 \\ 15000=30t+14000 \\ 15000-14000=30t \\ 1000=30t \\ t=\frac{1000}{30} \\ t\approx33 \\ t=1960+33 \\ t=1993 \end{gathered}$

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10 months ago

1/3 (x + 4 ) = 20 wt the answer

sashaice [31]

Answer:

x = 56

Step-by-step explanation:

To start, distribute the 1/3 onto the x and the 4 in the parenthesis. That leaves you with

1/3x + 4/3 = 20

We want the x value by itself so we're going to subtract the 4/3 from the left and the right side, leaving us with

1/3x + 4/3 = 20 - 4/3

1/3x = 18 & 2/3 (since we're dealing with fractions, I'm going to change the 18 & 2/3 into an improper fraction just to make the next step easier.)

1/3x = 56/3

The last step is to divide the 1/3 off of the x, so x is by itself. To divide a fraction by a fraction, just flip the fraction you're dividing with and multiply.

56/3 x 3/1 = 56 (56 x 3 is 168, and 3 x 1 is 3, so when you reduce 168/3, you get 56)

So, 56 is our answer, because after dividing off the 1/3, we're left with x = 56

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2 years ago

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shtirl [24]

Step-by-step explanation:

1*-2=-2, -2*-2=4, -2*4=-8, -8*-32=256

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3 years ago