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2 years ago

Factorize 81xsquared+180x+100

Mathematics

1 answer:

bekas [8.4K]2 years ago

5 0

Answer:

81x²+180x+100
9x²+180x+10²
using (a+b)²=a²+b²+2ab
9x²+2(9x)(10)+10²
(9x+2)²=(9x+2)(9x+2)

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I'LL GIVE YOU BRAINIEST!<br> 1 1/5 · x/3 = 9/10 solve for x

joja [24]

$\huge\text{Hey there!}$

$\huge\textbf{Equation:}$

$\mathbf{1 \dfrac{1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}$

$\huge\textbf{Solve:}$

$\mathbf{1 \dfrac{1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}$

$\mathbf{\rightarrow \dfrac{1\times5+1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}$

$\mathbf{\rightarrow \dfrac{5 + 1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}$

$\mathbf{\rightarrow \dfrac{6}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}$

$\huge\textbf{Simplify it:}$

$\mathbf{\rightarrow \dfrac{2}{5}x = \dfrac{9}{10}}$

$\huge\textbf{Multiply \boxed{\bf \dfrac{5}{2}} to both sides:}$

$\mathbf{\rightarrow \dfrac{5}{2}\times \dfrac{2}{5}x = \dfrac{5}{2}\times \dfrac{9}{10}}$

$\huge\textbf{Simplify it:}$

$\mathbf{\rightarrow x = \dfrac{5}{2}\times \dfrac{9}{10}}$

$\mathbf{\rightarrow x = \dfrac{5\times9}{2\times10}}$

$\mathbf{\rightarrow x = \dfrac{45}{20}}$

$\mathbf{\rightarrow x = \dfrac{45\div5}{20\div5}}$

$\mathbf{\rightarrow x = \dfrac{9}{4}}$

$\mathbf{x \approx 2 \dfrac{1}{4}}$

$\huge\textbf{Therefore, your answer should be:}$

$\huge\boxed{\mathsf{x = }\frak{2 \dfrac{1}{4}}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

8 0

1 year ago

Read 2 more answers

A coin contains 1.25 grams of nickel and 3.75 grams of copper, for a total weight of 5 grams. What percentage of the metal in th

otez555 [7]

So,

To find the percentage that the copper comprises, just divide the amount of copper by the total amount of metal in the coin. In this case, we will change the denominator so that it is 100, which can easily be converted into a percentage, which is really just a fraction out of 100.

$\frac{3.75}{5} = \frac{7.50}{10} = \frac{75}{100}$

75%

75% of the metal in the coin is copper.

7 0

2 years ago

Someone please help me. ASAP

frosja888 [35]

Answer:

x=2

Step-by-step explanation:

4x+6=x+12

-x -x

3x+6=12

-6 -6

3x=6

/3 /3

x=2

4 0

2 years ago

Read 2 more answers

Can someone please help

chubhunter [2.5K]

Answer:

Step-by-step explanation:

She has 28056 before any deductions are taken off. As far as the IRS is concerned every penny she earns is fully accountable for the 4 categories that she has to pay into.

The problem with the question is you are not told what is wanted. Do they want the income before or after the deductions have been made or do they want the accountable sum (28056)? I don't really know. 28056 is one possible answer.

Total deductions

Federal Tax 3780.90
State Tax 770.98
Medicare 406.81
SSI <u>1739.47</u>
All Deductions 6698.16

Income = 28056 - 6698.16 = 21357.84

I think the answer you want is 28056

One answer it is not is 4*28056 = 112224. The tax is far too low for that kind of income.

3 0

3 years ago

The perimeter of a triangle is 84 feet. Find the length of the three sides if the middle length side is 5 feet greater than twic

mixas84 [53]

Answer: Smaller side = 14ft

middle side = 33ft

Larger side = 37ft

Step-by-step explanation:

This triangle has 3 sides, defined by the variables:

S = length of the smallest side.

M = length of the middle side.

L = length of the larger side.

And the perimeter of a triangle is equal to the addition of the length of each side of the triangle.

We also know that:

M = 5ft + 2*S

L = 3*S - 5ft

84ft = S + M + L.

The first step is to replace the first and the second equation into the third, so we can solve it for S.

84ft = S + (5ft + 2*S) + (3*S - 5ft)

84ft = 6*S

84ft/6 = 14ft = S.

Now that we found the length of the shorter side, we can replace it in the above equations to find the length of the other two sides:

M = 5ft + 2*S = 5ft + 2*14ft = 33ft

L = 3*S - 5ft = 37ft

4 0

2 years ago