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1 year ago

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.

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A rectangle has sides 2x + 3 and x - 4. what is the perimeter of the rectangle

amid [387]

Write 2x+3(to the power of 2)+x-4(to the power of 2). Then do the equations and you should get 4x+9+2x+16. Combine like terms and that's your answer. I know it might be weird that it's not like 72 or something, but it's math haha. Your answer should be 6x+25! Make sure you understand this before just writing all of this down. Also, don't be afraid to ask your teacher. They are there to help!

8 0

3 years ago

The circumference of a circle is 22 cm.

valkas [14]

$\bf \: Circumference \: of \: a \: circle = 2\pi \: r$

$\implies22 = 2 \times \dfrac{22}{7} r$

$\implies22 = \dfrac{44}{7} \times r$

$\implies \: r = \dfrac{22 \times 7}{44}$

$\implies \boxed{ r = \dfrac{7}{2} }$

Now,

$\bf \: Area \: of \: circle = \pi {r}^{2}$

$\rightarrow \: \frac{22}{7} \times ({ \frac{7}{2}) }^{2}$

$\rightarrow \frac{22}{ \cancel7} \times \frac{ \cancel{49}}{4}$

$\rightarrow \: 22 \times \frac{7}{4}$

$\rightarrow \: 11 \times \frac{7}{2}$

$\rightarrow \frac{77}{2}$

$\rightarrow \: 38.5 \: cm {}^{2}$

Area of rectangle = 38.5 cm².

7 0

3 years ago

If 3/2 ÷ 1/4 = n, then n is between

nignag [31]

(3/2)/(1/4) = n
(3/2)/(4/1) = n
n = 12/2 = 6

8 0

4 years ago

Read 2 more answers

2. If the raffle has 200 tickets total, then

klasskru [66]

If the raffle has 200 tickets total, then about 50 tickets will be in the dining out raffle.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

From the diagram:

Percentage of dinner out = 65% - 40% = 25%

For 200 total tickets:

Number of dinning out raffle = 25% of 200 = 0.25 * 200 = 50 ticket

If the raffle has 200 tickets total, then about 50 tickets will be in the dining out raffle.

Find out more on equation at: brainly.com/question/2972832

5 0

2 years ago

Use elimination to solve the system of equations. 2x+y=4 and -4x-2y=8

goldfiish [28.3K]

Answer: No solution

Step-by-step explanation:

To use elimination method, we need to choose a variable to eliminate. Let's eliminate x. To eliminate x, the x coefficient in both equations must be the same, regardless of the sign. To do so, let's multiply the first equation by 2.

(2x+y=4)2

-4x-2y=8

-------------------------------------------------------------------------------------------------------------

4x+2y=8

-4x-2y=8

Let's add both equations together.

0=8

-------------------------------------------------------------------------------------------------------------

Now that we got this far, we can see that something is wrong. This normally doesn't happen. If you notice, the second equation is the first equation but multiplied by 2. Instead, let's rewrite each equation.

2x+y=4 [subtract both sides by 2x]

y=-2x+4

-4x-2y=8 [add both sides by 4x]

-2y=4x+8 [divide both sides by -2]

y=-2x-4

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If you analyze both equations, you will see that they are parallel lines. We know this because the slopes are the same, but different y-intercept. from our knowledge of parallel lines, they NEVER touch or cross. This means there would be no solution at all.

4 0

3 years ago