1. Albert bought a bicycle for $27 500. He sold it for $35 500.
a) What was the amount of his profit?
b) What was his percentage profit?​

Answer:

b=80

c=80

Step-by-step explanation:

the angle opposite to the 100 degree angle is congruent to it

same goes for b and c

so far we have 2 angles that measure 100 degrees 100+100=200

the sum of the 4 angles is 360

360-200=160

160/2=80=b=c

Answer:

option a

Step-by-step explanation:

alternate exterior angle theorem

Answer:

(D).

Step-by-step explanation:

[tex]A_{b}[/tex] = A + [tex]A_{s}[/tex]

(A). 12 + 16 > 20

(B). 10 + 18 < 30

(C). 4 + 5 < 12

(D). 8 + 16 = 24

Answer:

A=50.27

Step-by-step explanation:

Answer:

a)i)1/16

ii)5/36

b)i)5/96

ii)20/69

Step-by-step explanation:

a) i) 6/24 =1/4

1/4*1/4=1/16

a)ii)8/24=1/3    10/24=5/12

1/3*5/12=5/36

b)i) 5/24*1/4=5/96

ii) 1/3*10/23=10/69

5/12*8/23=40/276=20/138=10/69

10/69+10/69=20/69

The probabilities are; 1/16, 5/36, 5/96 and 20/69

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

Given that, A bag contains 6 red, 8 black and 10 yellow identical beads, 2 beads are picked at random one after the other.

a) With replacement:

i) The probability that both will be red =

6/24 =1/4

1/4x1/4=1/16

ii) The probability of getting one black and a yellow =

8/24=1/3    10/24=5/12

1/3x5/12=5/36

b) Without replacement;

i) The probability of getting both red =

5/24x1/4 = 5/96

ii) The probability of getting one black and a yellow =

1/3x10/23 = 10/69

5/12x8/23 = 40/276 = 20/138 = 10/69

10/69+10/69 = 20/69

Hence, The probabilities are; 1/16, 5/36, 5/96 and 20/69

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Answer:

D

Step-by-step explanation: WONDERWALL RULES

Wonderwall

Song by Oasis

Today is gonna be the day

That they're gonna throw it back to you

By now you should've somehow

Realized what you gotta do

I don't believe that anybody

Feels the way I do about you now....Ye i cant type the whole song but i tried!!

Answer:

It is right

Step-by-step explanation:

good job whatever your name is! you are very smart

Answer:

option a.

Step-by-step explanation:

3(8-x)=18

3(8-2)

3×6=18

so the RHS and LHS are equal

Answer:

50

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer: 4

         ______

           _\ _~-\___

   =  = ==(____AA____D

               \_____\___________________,-~~~~~~~`-.._

               /     o O o o o o O O o o o o o o O o  |\_

               `~-.__        ___..----..                  )

                     `---~~\___________/------------`````

                     =  ===(_________D

Step-by-step explanation:

A container has 5 green, 4 yellow and 2 white marbles.

We need to find the probability of selecting a green marble.

The probability of getting an event is given by :

P(E) = favorable outcomes/no. of outcomes

The probability of getting green marble will be :

[tex]P(G) = \dfrac{5}{5+4+2}\\\\=\dfrac{5}{11}[/tex]

The probability of getting white marble will be :

[tex]P(W) = \dfrac{2}{5+4+2}\\\\=\dfrac{2}{11}[/tex]

Hence, this is the required solution.

Answer:

Call the line (d): y = ax + b

(d) intersects the vertical axis at the point where the intersection is 3 ⇒x = 0, y = 3 Instead of (d) we have: b = 3

(d) intersects the horizontal axis at the point where the coordinate is -1 ⇒x = −1, y = 0 Instead of (d) we have: −a + b = 0

Replace into b = 3 into -a + b = 0 we have: −a + 3 = 0⇔a = 3

So the equation for the line is y = 3x + 3

Step-by-step explanation:

The value that Mrs. Alvarez will pay depends on the rental value of the ski and the poles per day, for example $144.

To know the total cost of the loan of the Ski equipment, we must know the loan price per day or per hour.

For example, suppose the loan price per hour is $2, then we would have to calculate how much one day is equivalent to and then multiply it by the total number of days.

$2 x 24 = $48

$48 x 3 = $144

Note: This question is incomplete because some information is missing. However I can answer it based on my general prior knowledge.

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Answer:

.032 .302 .32  2.03  2.30

Step-by-step explanation:

Answer:

i believe your answer is correct

Step-by-step explanation:

Answer:

x is equal to seven.

Step-by-step explanation:

To solve this you can move like terms to each side, then divide both sides by the coefficient of x:

4 + 6x = -3 + 7x

6x -7x = -3 - 4

-x = -7

x = 7

Answer:

-10

Step-by-step explanation:

hope it helps

Answer:

blue point value is -10

Step-by-step explanation:

First lets find the difference between each point on the line,

The gap between 10 and 2 has 2 points

So 10 - 2 = 8 is the difference in value between point A(10) and point C(2), but we need to find difference between each point,

So 8/2 = 4 is the difference between each point from top to bottom.

There is 3 points after 2 to reach blue,

So 4 x 3 = 12, is the difference in value between point C(2) and point blue,

So, subtracting 12 from 2 will get us the value of blue, 2 - 12 = -10

Therefore the value of blue point is -10

Happy to help :)

Answer:

X+Y+Z=180

115+23+Z=180

Z=180-115-23

Z=42°

Step-by-step explanation:

Answer:

i think its c

Step-by-step explanation:

Answer: 60:12, 60/12, or 60 to 12.

Step-by-step explanation:

To find the ratio, we must find 2 values. The values in this case is 60 and 12. 60 being cars and 12 being trucks.

So to write the ratio, we must put the cars first, then the trucks second.

So 60 first, and 12 second.

And remember, there are 3 ways to write ratios.

So we can write it like 60:12, 60/12, or 60 to 12.

The answers are 60:12, 60/12, or 60 to 12.

Answer:

Ryan's raft

Step-by-step explanation:

Ryan's raft has greater rate of change

Answer:

8

Step-by-step explanation:

24 divided by 3 =8

Answer:

17/33

Step-by-step explanation:

The repeating decimal [tex]$0.\overline{51}$[/tex] is equal to [tex]$\boxed{\frac{17}{33}}$[/tex].

A fraction is a component of a whole. Mathematically, the number is expressed as a quotient, where the numerator and denominator are divided. In a simple fraction, both are integers. In a complex fraction, a fraction can be found in either the numerator or the denominator. A suitable fraction has a numerator that is smaller than its denominator.

Let [tex]$x = 0.\overline{51}$[/tex]. Multiplying both sides of this equation by 100 gives,

[tex]$100x = 51.\overline{51}\\[/tex]. Subtracting the first equation from the second equation eliminates the repeating decimal,

giving:

[tex]\begin1100x - x &= 51.\overline{51} - 0.\overline{51}\\ \99x &= 51 \\\ \\end[/tex]

x = 51/99

Therefore, the repeating decimal [tex]$0.\overline{51}$[/tex] is equal to [tex]$\boxed{\frac{17}{33}}$[/tex].

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Answer:

13 in

Step-by-step explanation:

just add all the numbers lol

Answer:

the perimeter of the triangle is 13[tex]in^{2}[/tex]

Step-by-step explanation:

All you have to do is add up all the sides together, but first we need to find a common denominator, and it can be 12

[tex]3\frac{1}{3}[/tex] = [tex]\frac{10}{3} = \frac{40}{12}[/tex] ( i multiplied them by 4 (numerator and denominator))

[tex]4\frac{1}{6} = \frac{25}{6} = \frac{50}{12}[/tex] ( i multiplied them by 2 (numerator and denominator))

[tex]5\frac{1}{2} = \frac{11}{2} = \frac{66}{12}[/tex] ( i multiplied them by 6 (numerator and denominator))

Now that you have a common denominator for all 3 fractions, you can now add them all up

[tex]\frac{40}{12} + \frac{50}{12} + \frac{66}{12}[/tex]

Now to add, the denominator has to stay the same (12), and add up all the numerators

[tex]\frac{40}{12} + \frac{50}{12} = \frac{90}{12} + \frac{66}{12} = \frac{156}{12} = 13 (simplified)[/tex]

Hope this helped!