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uranmaximum [27]
2 years ago
6

Are the expressions 3/4a + 8 - 1/4a - 2 and 1/2(a + 12) equivalent? Show why or why not.

Mathematics
1 answer:
natta225 [31]2 years ago
4 0

Answer:Yes they are equivalent.

Step-by-step explanation:

3/4a + 8 - 1/4a - 2 1/2(a + 12)

Combine like terms Distributive property

2/4a+6 1/2a+6

2/4=1/2 (simplify)

1/2+6=1/2+6

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Describe the relationship between the value of the digits in the number 9,999,999
algol [13]
9 999 999 in words is read as nine million, nine hundred and ninety-nine thousand, and nine hundred and ninety-nine

By partitioning, we can write 9 999 999 as follow
9 000 000 + 900 000 + 90 000 + 9000 + 900 + 90 + 9

If we start at the first digit of '9' on the left, the next digit is ten times smaller than the previous one.
4 0
2 years ago
3. A restaurant bill is $59 and you pay $72. What percentage gratuity did you pay?​
Effectus [21]

Answer:

22.03%

Step-by-step explanation:

(72 - 59) / 59

13 / 59

22.03%

hope it helps :)

3 0
1 year ago
Read 2 more answers
Please just help with these questions!
devlian [24]

5/7=        -----------

           0.714285

Convert the fraction to a decimal by dividing the numerator by the denominator.

6/10= 0.6

Convert the fraction to a decimal by dividing the numerator by the denominator.

16/20= 0.8

Convert the fraction to a decimal by dividing the numerator by the denominator.

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3 0
2 years ago
Factor completely 3x ^2 -27
Tom [10]
First, factor out a 3.
3(x² - 9)

In any quadratic ax² + bx + c, we can split the bx term up into two new terms which we want to equal the product of a and c.
In this case, we have x² + 0x - 9. (the 0x is a placeholder)
We want two numbers that add to 0 and multiply to get -9.
Obviously, these numbers are 3 and -3.

Now we have 3(x² + 3x - 3x - 9).
Let's factor.
3(x(x+3)-3(x+3))
<u>3(x-3)(x+3)</u>

There are multiple shortcuts which you could make here, FYI:
Instead of splitting the middle, if your a value is 1, you can go straight to that step (x+number)(x+other number).
Whenever you have a difference of squares, like a²-b², that factors to (a+b)(a-b).
3 0
3 years ago
Read 2 more answers
At the end of 10 basketball games, a teams mean score is 35 points per game. At the end of 11 games, their mean score has gone d
morpeh [17]

Their total points for the first 10 games were

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Their total points after 11 games were

(11) x (33) = 363 total .

They must have scored (363 - 350) = 13 points in that 11th game.

I hate to say it, but these kids and their coach are in the wrong game.

4 0
2 years ago
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