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2:30 pm to 3:30 pm → 1 hour 3:30 pm to 4:00 pm
→ half an hour or 30 minutes 4:00 pm to 4:05 pm → 5 minutes 1 hour + 30 minutes + 5 minutes = 1 hour 35 minutes
The movie was 1 hour and 35 minutes.

3x² + 4x + 12 = x² - 5x + 7

2x² + 9x + 5 = 0

x² + \(\frac{9}{2}\)x + \(\frac{5}{2}\) = 0

x² + \(\frac{9}{2}\)x + \(\frac{81}{16}\) - \(\frac{81}{16}\) + \(\frac{5}{2}\) = 0

(x + \(\frac{9}{4}\) )² - \(\frac{81}{16}\)+ \(\frac{40}{16}\) = 0

(x + \(\frac{9}{4}\) )² = \(\frac{41}{16}\)

x + \(\frac{9}{4}\) = ± \(\frac{\sqrt{41}}{4}\)

x = ± \(\frac{\sqrt{41} - 9}{4}\)

r = \(\frac{\sqrt{41} - 9}{4}\)

s = \(\frac{9 - \sqrt{41}}{4}\)

r² + s² = \((\frac{\sqrt{41} - 9}{4})^2 + (\frac{9 - \sqrt{41}}{4})^2\)

= \(\frac{(\sqrt{41} - 9)^2 + (9 - \sqrt{41})^2}{16}\)

= \(\frac{122 - 18\sqrt{41} + 122 - 18\sqrt{41}}{16}\)

= \(\frac{2(122 - 18\sqrt{41})}{16}\)

= \(\frac{122 - 18\sqrt{41}}{8}\)

= \(\frac{61 - 9\sqrt{41}}{4}\)

tell me if I did anything wrong :)

i think he/she knows that, it's just for a joke purpose

List the factors of each number. Find the largest number that appears in both lists.
 

Factors of 12: 12, 6, 4, 3, 2, 1

Factors of 15: 15, 5, 3, 1

The highest common factor of 12 and 15 is 3. That means that the greatest possible number of sales kits is 3, because 12 samples of tile could be split into 3 kits with 4 samples of tile each and 15 samples of carpet could be split into 3 kits with 5 samples of carpet each.

The greatest number of sales kits Adam can prepare is 3.

got the answer nvm

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60 degree?

3/4 yd -  3/8 yd

6/8     - 3/8 =  3/8 yd left

b = 3/4 d     <======Given

then

b = 6/11( d+15)         Sub in the red equation

3/4d = 6/11d + 90/11

d = 40   dollars originally

See image below:

angle z   + angle apq  + 45   = 180 degree straight line

tan z = x / (1/2 x) = 2

arctan(2)  = z = 63.434

63.434 + APQ  + 45 = 180

APQ = 71.565 degrees

ok thx

m +6 -20      given    <==== this is the money at the end

m - 14   

m  /  (m-14)  =  10 / 3

3m = 10 m - 140

b)  m = 20   dollars originally          20 - 14 = 6 at the end        a)  difference = 14 dollars

Nvm I found the link to it

See image below:

Triangle area - cicle sector area * 3 = area in question        

sqrt(3)/4 ( 36/ pi)²   - 3  * 1/6 *  pi ( 18/pi)²    = shaded                (we use 1/6 because the sector of the circle is 60/360 of the circle)

324 sqrt(3) / pi²    - 162 / pi     <============   Same answer as  LR    Way to go Logarhythm!!

He did not have 6 in the end

Silas at first = S
S+6-20=S/(10/3)

S=20

Silas had 20 at first and he had 6 in the end.

lol I was debating whether or not to post that because there was a similar question, however this was asking for area of the shaded region instead of the perimeter of it... 

LOL

I got something complicated as well... I thought I got it incorrect. i actually got the same answer as you, so nothing's wrong... I think.

The four numbers must be  1, 2, 4, 4

You can work out their sum.

https://gyazo.com/0bb2e632441b774f3d412d086fa55957

I made an equilateral triangle using the centers of the triangle. 
Since an equilateral triangle has angles of 60^o, each sector part is just \(\frac{1}{6}\) of the circle.

Circumference of each circle = 36 units 

Radius = \(\frac{18}{π}\)

Sector areas = \(3 \cdot \frac{1}{6} \cdot (\frac{18}{π})^2 π\)

= \(\frac{1}{2} \cdot \frac{324}{π^2}π\)

= \(\frac{1}{2} \cdot \frac{324}{π}\)

= \(\frac{162}{π}\)

Now the area of the equilateral triangle is: 

\(\frac{\sqrt{3}}{4}\cdot (\frac{36}{π})^2\)

= \(\frac{\sqrt{3}}{4} \cdot \frac{1296}{π^2}\)

= \(\frac{1296\sqrt{3}}{4π^2}\)

Which means the area of the shaded region is: 

\(\frac{1296\sqrt{3}}{4π^2} - \frac{162}{π}\)

= \(\frac{1296\sqrt{3}}{4π^2} - \frac{162π}{π^2}\)

= \(\frac{1296\sqrt{3}}{4π^2} - \frac{648π}{4π^2}\)

= \(\frac{1296\sqrt{3} - 648π}{4π^2}\)

= \(\frac{4(324\sqrt{3} - 162π)}{4π^2}\)

= \(\frac{324\sqrt{3} - 162π}{π^2}\)

please tell me if I did anything wrong...

Because Patrick and Noah shared their toys in the ratio 4:1 when Patrick's name was listed first, it means Patrick had 4 times as many toys as Noah.

Therefore:

Patrick had 4 times of the toys Noah had, and Noah had 4 toys.

4 * 4 = 16

So Patrick has 16 toys in total.

Hope this helps :)

To cube a number, you need to multiply it by itself twice. For example:

If you want to cube the number three, you need to do:

3 * 3 * 3 = 27

So, 27 is equal to 3 cubed.

Cubing is just the next step to squaring, which basically makes you draw a square with the side lengths being the number you have. This is why 3 squared is 9 and the area of a square with side lengths 3 is also equal to 9.

When you cube a number, it basically makes you draw a cube with side lengths being the number you have. This is why 3 cubed is 27 and the volume of a cube with side lengths 3 is also equal to 27.

Hope this helps :)

To quarter your answer, your answer must be a number. Quartering it means to find one-fourth of the answer that you have.

For example:

Quarter your answer, if your answer is 4.

Answer: 1

Quarter your answer, if your answer is 2.

Answer: 1/2

etc.

20 multiplied by 50 is not too hard to compute in your mind. All you need to do is:

First, multiply the two first numbers, 2 and 5.

They make 10, so you have the first two numbers of your answer.

After that, because 20 has one zero and 50 also has one zero, you add the number of zeros at the end of each number to get two zeros in total. These make the last two numbers.

Once you have the first two (10) and the last two (00) numbers, you put them together to get:

20 * 50 = 1000

Hope this helps :)