A professional gambler reported that at the end of the first race at the track he had doubled his money. He bet $33 on the second race and tripled the money he came with. He bet $60 on the third race and quadrupled his original bankroll. He bet $68 on the fourth race and lost it, but still had $64 left. With how much money did he start?

Answer:

Step-by-step explanation:

In similar triangles, corresponding sides are in same ratio

[tex]\frac{28}{24} = \frac{3x-9}{x +8}\\\\\frac{7}{6}=\frac{3x-9}{x+8}\\[/tex]

Cross multiply,

7*(x + 8) = 6*(3x -9 )

7x + 7*8 = 6*3x - 6*9

7x +  56   = 18x - 54

          56 = 18x - 7x -54

          56 = 11x - 54

         11x - 54 = 56

               11x  = 56 +54

                11x = 110

               x = 110 /11

x = 10

PR = 3x -9

     = 30 - 9

PR = 21

Answer:

A. 6 minutes

Step-by-step explanation:

6 minutes is 1/10 of an hour.

60 minutes is 1 hour.

5,400 minutes is 90 hours.

3 hours is 180 minutes. You can solve this as a proportion:

[tex]\frac{180}{30} =\frac{x}{1}[/tex]

Cross multiply to get 30x = 180. x = 6.

Hope it helps!

Answer:

7 : 4

Step-by-step explanation:

Answer:24cm2 is your answer Hope this helped you out.

Step-by-step explanation:L=3

W=2 and H=4 So ignore the letters. Those do not matter they are just trying to throw you off. Focus on the numbers. You need to multiply them. 3x4=12 12x2=24.

Answer:

because WXYZ is a rhombus

=> WX // YZ

=> ZWX + WZY = 180⁰

=> WZY = 180⁰ - ZWX = 180⁰ - 77⁰ = 103⁰

Answer:

what type of answer are you looking for exactly

Step-by-step explanation:

Answer:

A: >

Step-by-step explanation:

I believe A because if you look at the 2 in the first first number or whatever its higher then the 0 in 0.420 And plus for the 5 in 2.510 its greater then the 4 so thats why i believe A because you always gotta read the question slowly and make sure which one is high or not but it can actually trick you sometimes but if they match its an equal so hope this helps ya^^

Answer:

Step-by-step explanation:

(-2x-3)(4x+5) = -(2x+3)(4x+5) = -(8x^2+12x+10x+15) = -8x^2 - 22x - 15

Leading coefficient is -8

Answer:

A senior citizen ticket costs $11, and a child ticket costs $9.

Step-by-step explanation:

Let s = price of 1 senior citizen ticket, and let c = price of 1 child ticket.

First day:

8s + c = 97

Second day:

6s + 4c = 102

We have a system of 2 equations in 2 unknowns.

8s + c = 97

6s + 4c = 102

We will use the addition method to solve the system.

Multiply both sides of the first equation by -4. Write the second equation below it and add the equations.

     -32s - 4c = -388

(+)     6s + 4c = 102

----------------------------

      -26s       = -286

Divide both sides by -26.

s = 11

Now substitute s with 11 in the first original equation and solve for c.

8s + c = 97

8(11) + c = 97

88 + c = 97

Subtract 88 from both sides.

c = 9

Answer: A senior citizen ticket costs $11, and a child ticket costs $9.

Answer:

6

Step-by-step explanation:

4 1/2 divided by 3/4 is 6. so 6 pieces

The greatest number of 3/4 foot pieces that Annie can cut from the rope

is 6.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Annie has 4 1/2 feet of rope.

Therefore, The greatest number of 3/4 foot pieces Annie can cut can be obtained by dividing the length of the total rope by the length of each piece which is,

= (4 1/2)/(3/4).

= (9/2)×(4/3).

= 36/6.

= 6.

So, 6 pieces are possible.

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ2

Answer:

69.08 yd

Step-by-step explanation:

14.8

calculator is fun to use

Answer:

The answer is below

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Dilation is the increase or decrease in size of a figure. If a figure with point A(x, y) is dilated by a scale factor of k, the new location is at A'(kx, ky). If k > 1, it is an enlargement and if k < 1, it is a reduction.

a) The scale factor from Quadrilateral A to Quadrilateral B = smallest side length of side B / smallest side length of side A = 2 / 6 = 1/3

Scale factor = 1/4= 1 / 3

The side length of 6 in A corresponds to a side length of 2 in B

Side length of B that corresponds with side length of 9 in A = scale factor * 9 =  1/3 * 9 = 3

The side length of 9 in A corresponds to a side length of 3 in B

Side length of B that corresponds with side length of 12 in A = scale factor * 9 =  1/3 * 12 = 4

The side length of 12 in A corresponds to a side length of 4 in B.

c)  perimeter of Quadrilateral B = sum of side lengths of quadrilateral B = 2 + 3 + 3 + 4 = 12 units

Answer:

no

yes

no

yes

Step-by-step explanation:

Answer:$387.27

Step-by-step explanation:

Hope this helps.

Answer:

(x – 3)(x + 5)(x + ½) = (x2 + 2x – 15)(x + ½) = x3 + 2.5x2 – 14x – 7.5

Answer: The sample is 13414 years old.

Step-by-step explanation:

Expression for rate law for first order kinetics is given by:

[tex]t=\frac{2.303}{k}\log\frac{a}{a-x}[/tex]

where,

k = rate constant  

t = age of sample

a = let initial amount of the reactant= 100

a - x = amount left after decay process= [tex]\frac{20}{100}\times 100=20[/tex]

a) for completion of half life:

Half life is the amount of time taken by a radioactive material to decay to half of its original value.

[tex]t_{\frac{1}{2}}=\frac{0.693}{k}[/tex]

[tex]k=\frac{0.693}{5730}=0.00012years^{-1}[/tex]

b) for completion of 20% of reaction

[tex]t=\frac{2.303}{0.00012}\log\frac{100}{20}[/tex]

[tex]t=13414years[/tex]

The sample is 13414 years old.

Answer:    13,307 years

Step-by-step explanation:   i got it right on the quiz/asignment

Answer:

Step-by-step explanation:

Multiply the y in the binomial by every term in the trinomial. Repeat this for the 3, and sum them all up

[tex](y+3)(y^2+8y-2)\\y^3+8y^2-2y+3y^2+24y-6\\y^3+11y^2+22y-6[/tex]

Answer:

No

Step-by-step explanation:

Why should anyone help you when all you do is steal points

Answer:

15

Step-by-step explanation:

It helps to think that there are 15 1/5's in the number 3. Hope that helps!

Answer: 6a³-14a²-43a+12

Step-by-step explanation:

Explanation is in picture.

Congruent triangles have equal corresponding sides lengths and angles

Another valid congruency statement is Triangle RYQ ≅ Triangle LSJ

The congruency statement is given as:

Triangle QRY ≅ Triangle JLS

The above means that triangles QRY and JLS are congruent,

So we have the following congruent points

Points Q and J

Points R and L

Points Y and S

So, another valid congruency statement is Triangle RYQ ≅ Triangle LSJ

Read more about congruent triangles at:

https://brainly.com/question/1675117

Answer:

10n+72

Step-by-step explanation:

10n+81-9

10n+72

Answer:

Step-by-step explanation:

Basically find the slope first.

(6,1)(9,5)

5-1/9-6

m=4/3

y=mx+b

1=4/3(6)+b

b=-7

y=4/3x-7

Answer:

y=-1/2x

Step-by-step explanation:

y-(-2)=-1/2(x-4)

y+2=-1/2x+2

y=-1/2x

The equation of a line is written as y = Mx + b where m is the slope and b is the y intercept.

Replace y and x with the given point and m with the given slope to solve for b:

-2 = -1/2(4) + b

Simplify:

-2 = -2 + b

Add 2 to both sides:

B =0

The equation becomes: y = -1/2x

Answer:

C. 3x + 5

Step-by-step explanation:

Go to m a t h w a y . c o m (with no spaces, wont let me post without) trust me, this will save u in math

Answer:

The population is increasing

Step-by-step explanation:

You can tell that function is increasing from the equation because the rate of change is [tex]\frac{5}{4} = 1.25[/tex]

Since this value is greater than [tex]1[/tex] it indicates that the population is being increased.

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