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Yes, that's correct! 

jugoslav 

There are 90,000 5-digit integers:

1/2 of 90,000 ==45,000 will end in {0, 1, 2, 3, 4}

Therefore, the probability is ==45,000 / 90,000 ==1 / 2

y=1/2x + 1/2

y=1.2x +1/2

The number of five-digit integers with units digit less than 5 is 36,000.

The number of five-digit integers is 90,000.

Therefore, the probability is 36,000/90,000 = 2/5.

Jaz, Kumar, and Farah shared the cost of a laptop. Jaz paid 1/4 of the total share of Kumar and Farah. Kumar paid 1/2 of the total cost of the laptop. Farah paid $186 more than Jaz. How much did the laptop cost?

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J   => is Jaz's share

J + 186   => is Farah's share

J + (J + 186)  => is Kumar's share

J = 1/4[(J + 186) + (2J + 186)]

J = 372

The cost of the laptop = $ 1860 

ABCD is a trapezoid with bases AB and DC. We know that angle C equals 60 and angle D=45. If AB=5-2sqrt3 and BC=8, what is DC?

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AB = 5 - 2√3

DC = 8(cos30º) + (5 - 2√3) + 8(sin30º) 

Irina rode her bike to work at an average speed of 16 miles per hour. It started to rain, so she got a ride home along the same route in her coworker’s car at an average speed of 27 miles per hour. If Irina’s ride home in the car took 24 minutes (0.4 of an hour), how many hours was her bike ride to work, to the nearest tenth of an hour?

0.2 of an hour

0.4 of an hour

0.6 of an hour

0.7 of an hour

70 is the answer

plz respond

Andy and Jimmy collected 370 toy cars altogether. 1/4 of Andy's toy cars was 25 more than 1/5 of Jimmy's toy cars. How many toy cars did Andy collect than Jimmy?

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A + J = 370

4(25 + J/5) + J = 370

J = 150

I'll let you figure out the rest. 

So 220 - 150 = 70 is the answer?

w(2w + 1) = 36

w = 4

I'll let you find the length 

Equation:           f·p - w      =  10 000

f = 5         --->   5·p - w      =  10 000

w = 125i   --->   5·p - 125i  =  10 000

--->     5·p  =  10 000 + 125i

--->        p  =    2 000 + 25i

To rationalize the denominator, multiply the numerator and denominator by the conjugate of the denominator.

The conjugate of  sqrt(5) - sqrt(2)  is  sqrt(5) + sqrt(2).

 1/ [ sqrt(5) - sqrt(2) ]   ·   [ sqrt(5) + sqrt(2) ] / [ sqrt(5) + sqrt(2) ] 

=  [ sqrt(5) + sqrt(2) ] / { [ sqrt(5) - sqrt(2) ] · [ sqrt(5) + sqrt(2) ] }

=  [ sqrt(5) + sqrt(2) ] / [ 5 - 2 ]

=  [ sqrt(5) + sqrt(2) ] / 3

A is 5, B is 2 and C is 3 ...

Let  A  represent the number of toy cars that Andy has.

Let  J  represent the number of toy cars that Jimmy has.

Since the total number that Andy and Jimmy have is 370, we have this equation:

     A + J  =  370

"1/4 of Andy's toy cars"  is written as  " 1/4 · A "

"1/5 of Jimmy's toy cars"  is written as " 1/5 · J "

"was 25 more than"  is written as  " =  25 + "

So we now have the equation:  1/4 A  =  25 + 1/5 J.

To get rid of fractions from this equation, multiply the equation by 20:

    20 [ 1/4A  =  25 + 1/5 J ]     --->     5A  =  500 + 4J

Rewriting this equation:     5A - 4J  =  500

Putting these two equations together:

      A +  J  =  370     --->   multiply by 4   --->     4A + 4J  =  1480

    5A - 4J  =  500                                    --->      5A - 4J  =    500

Adding down the columns:                                 9A         =  1980

Dividing by 9:                                                                A  =  220     (number of Andy's toy cars)

Since the total number of cars is 370, Jimmy has 150 toy cars.

-18x =-72

When Quinn returned home, t =0

  then R = 42 degrees C

From the 7th to the 10th terms is multiplication by r   three times

7 * r * r * r = 21    solve for 'r'

      then the 8th term is  7 * r

Huh?  I think we need more explanation.

There is no diagram  

Multiply the first equation by 2:

2y - 6x = 2a      (1)

Subtract x and b from both sides of the second equation and rewrite as:

2y + 2x = -b      (2)

Subtract (1) from (2)

8x = -b - 2a   (3)

Multiply (2) by 3:

6y + 6x = -3b     (4)

Add (1) and (4)

8y = 2a - 3b    (5)

You can now divide (3) by 8 to get x and (5) by 8 to get y

 Find the product of all positive integer values of c.

Hallo Guest!

\(8x^2 + 45x + c = 0\)

\(x^2+ \frac{45}{8}x+\frac{c}{8}=0\\c<64\)

\(c\in \{1,2..\ ..62,63\}\)

The product of all positive integer values of c is  

\(\large 63!= 1.98260383154044401..\)    \(\large ..729600000000000000\times 10^{87}\)

                                                \(88\ decimal\ digits\)

  !

If the volume of the cylinder is 7, then what is the volume of the cone?

Hello Guest!

\(r_{cyl}=\dfrac{r_{con}}{3}\\ V_{cyl}=pi (\dfrac{r_{con}}{3})^2h=7\\ \dfrac{(r_{con})^2}{9}=\dfrac{7}{\pi h}\\ \color{blue}(r_{con})^2=\dfrac{63}{\pi h}\)

\(V_{con}=\dfrac{1}{3}\pi h\cdot (r_{con})^2=\dfrac{1}{3}\cdot \pi h\cdot \dfrac{63}{\pi h}=\dfrac{63}{3}\\ \color{blue}V_{con}=21\)

 The volume of the cone is 21.

  !

= 2√11 

Given a right triangle ABC with altitude BD drawn to hypotenuse AC. If AC = 11and DC = 4, what is the length of BC in simplest radical form?

4 / BC = BC / 11

(BC)² = 44

BC = √44