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GaryK [48]
1 year ago
8

Simplify: 3a²b + 5ab – 4ab + ab² + 8a²b

Mathematics
1 answer:
Lisa [10]1 year ago
8 0

In order to simplify this expression, we need to add the like terms.

Like terms are terms that have the same variables to the same power.

So we have:

\begin{gathered} 3a^2b+5ab-4ab+ab^2+8a^2b \\ =(3a^2b+8a^2b)+(5ab-4ab)+ab^2 \\ =11a^2b+ab+ab^2 \end{gathered}

Therefore the correct option is the fourth one.

You might be interested in
The clock was exactly on time at 7am at 1pm the clock was 228 seconds late at that rate how slow was the clock half an hour
yan [13]

Answer:

19 seconds.

Step-by-step explanation:

Given that the clock was exactly on time at 7am, and at 1pm the clock was 228 seconds late, to determine, at that rate, how slow was the clock half an hour, the following calculation must be performed:

1 PM = 13:00

13 - 7 = 6

228/6 = 38

38/2 = 19

Thus, every half hour the clock is delayed 19 seconds.

4 0
3 years ago
Sophia started a lawn mowing business and charges a flat fee of $5.00 plus $3.50 per hour.
umka2103 [35]

Answer:

5 + 3.5h = 29.50

Step-by-step explanation:

The flat fee means that you will be paid the money with no change to it.

So you will not multiply it.

3.5h means that you are adding 3.50 every hour according to the question

So summary:

5+3.5h = 29.50

Evaluation:

5+3.5h = 29.50

24.50 = 3.5h

h = 7

Sofia worked 7 hours

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

4 0
3 years ago
Look at the figure, . Find the values of ​x and y. x = 5, y = 7 x = 6, y = 8 x = 6, y = 9 x = 7, y = 10
Colt1911 [192]

Answer:

x = 6, y = 9

Step-by-step explanation:

One of the properties of a parallelogram is

The diagonals bisect each other, hence

2x = y + 3 → (1)

2y = 3x → (2)

Rearrange (1) in terms of y by subtracting 3 from both sides

y = 2x - 3 → (3)

Substitute y = 2x - 3 into (2)

2(2x - 3) = 3x ← distribute left side

4x - 6 = 3x ( add 6 to both sides )

4x = 3x + 6 ( subtract 3x from both sides )

x = 6

Substitute x = 6 into (3) for value of y

y = (2 × 6) - 3 = 12 - 3 = 9

Hence x = 6 and y = 9

5 0
4 years ago
What is the probability that a dart will hit a spot in the shaded circle?
amid [387]

Answer:

I would say if you at least try to make it then you will end up making it

Step-by-step explanation:

3 0
3 years ago
In the standard (x, y) coordinate plane, what is the slope of the line joining the points (3,7) and (4,−8)?
rjkz [21]
We know that the slope formula is m = (y1 - y2)/(x1 - x2)
Your points are: (3, 7) and (4, -8)
In this case,
x1 = 3
x2 = 4
y1 = 7
y2 = -8
Now, just plug in the numbers:
m = (7 - -8)/(3-4)
m = 15/-1
m = -15
Your slope is -15.
7 0
3 years ago
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