2. Find a true inequality that involves the real number 5/4

Determine whether each expression is equivalent to

larisa [96]

The algebraic expressions, $x + x + y + y + y + y - 5 + x + x + x + 8 - 4y$ and $5x + 3$ are equivalent to $2x + 4y - 5 + 3x + 8 - 4y$

To determine whether each expression is equivalent to $2x + 4y - 5 + 3x + 8 - 4y$ , apply the knowledge of algebra to solve each of the following in it's simplest form.

First, simplify $2x + 4y - 5 + 3x + 8 - 4y$ as follows:

Add like terms

$2x + 4y - 5 + 3x + 8 - 4y\\2x + 3x + 4y - 4y - 5 + 8\\5x + 3$

Next, compare or simplify where necessary each of the given algebraic expressions with $5x + 3$

First Option

$x + x + y + y + y + y - 5 + x + x + x + 8 - 4y$

Add like terms together

$2x + 4y - 5 + 3x + 8 - 4y\\2x + 3x + 4y - 4y -5+8\\5x + 3$

Therefore, $x + x + y + y + y + y - 5 + x + x + x + 8 - 4y$ is equivalent to $2x + 4y - 5 + 3x + 8 - 4y$

Check the box for YES.

Second Option:

$6xy + 3 - 4y$ (cannot be simplified further)

$6xy + 3 - 4y\neq 2x + 4y - 5 + 3x + 8 - 4y$

Therefore:

Leave the box BLANK for NO.

Third Option:

$-8y + 5x - 3$ (cannot be simplified further)

$-8y + 5x - 3 \neq 2x + 4y -5 + 3x + 8 - 4y$

Therefore:

Leave the box BLANK for NO.

Fourth Option:

$5x + 3$

$5x + 3 = 2x + 4y - 5 + 3x + 8 - 4y$

Therefore:

Check the box for YES.

Thus, the algebraic expressions that are equivalent to $2x + 4y - 5 + 3x + 8 - 4y$ are:

$x + x + y + y + y + y - 5 + x + x + x + 8 - 4y$

$5x + 3$

Learn more about algebraic expressions here:

brainly.com/question/15122459

5 0

3 years ago

(9x−2.25)=(1.6+9x) help

mel-nik [20]

Begin solving like you normally would. Add 2.25 to both sides and subtract 9x from both sides to try getting all x values on one side. However, you will find that after subtracting 9x from both sides, all x values go away, and you end with -2.25=1.6. This is not true (-2.25 is not 1.6), so the answer is no solution. There is no value of x which satisfies that equation.

4 0

3 years ago

A team won 6 hockey matches and lost 9 matches. what per cent of the matches did the team win

Mama L [17]

Answer:

66.67%

Step-by-step explanation:

total matches = 9

matches won = 6

percentage = matches won*100/ total matches

percentage = 600/9

= 66.67%

7 0

3 years ago

Read 2 more answers

last year the humane society took in 21,340 animals. If the humane society was open all 52 weeks that year. how many animals wer

dedylja [7]

The average intake rate is (21,340 animals)/(52 weeks) ≈ 410.4 animals/week

8 0

3 years ago

Please help! need help with geometry work.

lakkis [162]

Answer:

1) Is 90° because that's what the little square in the corner means.

2) Is 60° because if you take everything to the right of the vertical line and add them up, and then subtract the total from 180° you can find the missing angle.

3) Is 30° because if you use what's below the horizontal line and do the same thing as number 4 (add the existing angles together and subtract the total from 180) you can find the missing angle.

4) Is 20° because if you add the existing angles together (40° + 90° + 30°), you'll get 160°, and since the diagonal line that's separating everything from 40° to 30° looks as though it equals 180°, you'd subtract 160° from 180° in order to get the missing angle.

5) Is also 90° because the angle across from it (1) looks to be around the same size.

I solved for each in the following order:

1, 5, 4, 3, 2.

I hope this helps. Also please let me know if I got something wrong or if you still need help :)

3 0

3 years ago