All categories

2 years ago

Simplify the following algebraic expressions 2y+6/3y+9

Mathematics

1 answer:

Bond [772]2 years ago

3 0

Answer:

4y + 9

Step-by-step explanation:

2y+ $\frac{6}{3}y$ +9

2y + 2y +9

4y + 9

You might be interested in

Which expression is equivalent to...? Screenshots attached. Please help! Thank you.

Studentka2010 [4]

Answer:

$4x^{3} y^{2} (\sqrt[3]{4 x y})$

Step-by-step explanation:

Another complex expression, let's simplify it step by step...

We'll start by re-writing 256 as 4^4

$\sqrt[3]{256 x^{10} y^{7} } = \sqrt[3]{4^{4} x^{10} y^{7} }$

Then we'll extract the 4 from the cubic root. We will then subtract 3 from the exponent (4) to get to a simple 4 inside, and a 4 outside.

$\sqrt[3]{4^{4} x^{10} y^{7} } = 4 \sqrt[3]{4 x^{10} y^{7} }$

Now, we have x^10, so if we divide the exponent by the root factor, we get 10/3 = 3 1/3, which means we will extract x^9 that will become x^3 outside and x will remain inside.

$4 \sqrt[3]{4 x^{10} y^{7} } = 4x^{3} \sqrt[3]{4 x y^{7} }$

For the y's we have y^7 inside the cubic root, that means the true exponent is y^(7/3)... so we can extract y^2 and 1 y will remain inside.

$4x^{3} \sqrt[3]{4 x y^{7} } = 4x^{3} y^{2} \sqrt[3]{4 x y}$

The answer is then:

$4x^{3} y^{2} \sqrt[3]{4 x y} = 4x^{3} y^{2} (\sqrt[3]{4 x y})$

4 0

2 years ago

3) The foot of a ladder is 1.2 m from a fence

VashaNatasha [74]

Answer: $4.5\ meters$

Step-by-step explanation:

Using the data given in the exercise, we can draw the diagram attached, where "h" is the height of the building reached by the top of the ladder.

Notice that there are two similar triangles.

So, you can set up the following proportion:

$\frac{1.8}{1.2}=\frac{h}{(1.2+1.8)}$

Finally, in order to calculate the height on the building reached by the top of the ladder, you must solve for "h".

Therefore, the value of "h" is :

$\frac{1.8}{1.2}=\frac{h}{3}\\\\(3)(\frac{1.8}{1.2})=h\\\\\frac{5.4}{1.2}=h\\\\h=4.5$

5 0

3 years ago

Write the fraction 1/8 as a percent rounded to the nearest hundredth of a percent where necessary

Irina-Kira [14]

<span>To determine the answer to this you would divide the numerator by the denominator in an equation. The answer to that equation is 0.125. When converting a decimal to a percentage, you shift the decimal point over two places. Thus the percentage is 12.5% and it is unnecessary to round the result to the nearest hundredth of a percent. The answer is 12.5%.</span>

5 0

3 years ago

Read 2 more answers

Arjun has to stick by his budget. his salary is $112,000 after taxes. he divides his

geniusboy [140]

I hope this helps you :)