Mathematics Middle School

a professional gambler reported that at the end of the first race at the track he had doubled his money. He bet $31 on the second race and tripled the money he came with. He bet $51 on the third race and quadrupled his original bankroll. He bet $84 on the fourth race and lost it, but still had $40 left. How much money did he start with?

Answers

Answer 1
firstly, he had 124 dollars by the end. one moment still figuring it out
Answer 2

Answer:

The gambler came with $31.

Step-by-step explanation:

Let x be the initial amount.

At the end of the first race at the track he had doubled his money, that is 2x.

He bet $31 on the second race and tripled the money he came with.

Means 3x.

He bet $51 on the third race and quadrupled his original bankroll that is 4x.

He bet $84 on the fourth race and lost it, but still had $40 left.

Summing all the values, we get;

[tex]4x-84=40[/tex]

=> [tex]4x=40+84[/tex]

=> [tex]4x=124[/tex]

=> x = 31

Hence, the gambler came with $31.

Related Questions

Jeremy has 144 marbles. He gives half to Marsha. Then he gives half of what he has left to Sam. He shares in the same way with two more friends. Write the terms that shows the number of marbles Jeremy has.

Answers

Hey!

So, If you want to figure out how much marbles Marsha gets, you first divide 144 by 2. And that equals 72. So Marsha gets 72. THEN, Halve goes to Sam so Sam gets halve of 72. And halve of 72 is 36. 

SO MARSHA GETS 72 MARBLES JEREMY GETS 36 AND SAM GETS
36.


Yeah Marsha gets 72 marbles and Jeremy gets 36 and Sam gets 36

Sue scored a total of 35 points in two games. She scored 6 times as many points in the second game as in the first. How many more points did she score in the second game?

Answers

It will be 36×6 because you have to times
It will be 3*6 hope it helps

One has 60 teeth and it makes 50 complete revolutions in a minute. How many complete revolutions will the second gear complete, if it has 40 teeth?

Answers

Write and solve the equation of 2 ratios:

   60 teeth       50 rev
-------------- = -------------
   40 teeth          x

x= 3000/40 = 75

The smaller (40 tooth) gear will make 75 rev in a min.
60/50= 1.2 

1.2= 40x
x=40/1.2 
x=33.3

A cleaner recommends mixing 1½ cup of cleaner for every 12 cups of water. What is the ratio of cleaner to water in simplest form?


1/8


2/3


1/2


7/8

Answers

1/8, because 3/2 divided by 12 is 1/8

we know that

To find the ratio of cleaner to water

Divide the total cups of cleaner by the total cups of water

In this problem we have

total cups of cleaner------> [tex]1\frac{1}{2}[/tex]

convert to an improper fraction

[tex]1\frac{1}{2}=\frac{1*2+1}{2}= \frac{3}{2}[/tex]

total cups of water------> [tex]12[/tex]

Find the ratio

[tex]\frac{(3/2)}{12}= \frac{3}{24}= \frac{1}{8}[/tex]

therefore

the answer is

[tex]\frac{1}{8}[/tex]


Julio's father is 4 times as old as Julio. The sum of their ages is no less than 55. What is the youngest age Julio can be?

Answers

Hello, Julio can be no younger then 11. Hoped I helped! 

Answer:

11 years

Step-by-step explanation:

Let the age of Julio is x.

Age of Julio's father = 4 x

According to the question, the sum of their ages is not less than 55.

x + 4x > 55

5 x > 55

x > 11

Thus, the youngest age of Julio is 11 years.

Which value of a would make the following statement true -4(2x - a) = -8x + 16?

A. -16

B. -4

C. 4

D. 16

Answers

The answer would be B. -4

Imamu pays $30 each month for his gym membership. What is the change in the amount of money in his account after 2/3 of a year

Answers

The answer is $240 because 2/3 in a years have 8 month so just multiply 3*8  which give you 24 and just add a zero.

Your answer is: $240.


Thank you 

                                                                   Have a great day :).

Find 350% of 49 thank you

Answers

The word "of" when under in a word problem usually means "multiplied by."
Therefore we can change the word problem to an expression:

[tex] 350\ percent * 49 [/tex]
"percent" literally means "per hundred," so change the expression again:

[tex] 350\ percent * 49\\\\350/100 * 49\\\\3.5 * 49\\\\3*49+49/2\\\\147+24.5\\\\\\171.5[/tex]

Jeannine runs for 45 minutes every day for exercise. It takes her 8 minutes to run a mile, and she spends 5 minutes stretching halfway through the run. If x represents the number of miles she runs, then 8x + 5 ≤ 45 represents the time she runs each day. What is the fewest number of miles Jeannine must run to complete her daily exercise?

Answers

8x5<45 -5 -5 ------ 8x<40 ------- 8 8 x<5 So the fewest of miles she could run is 1, 2, 3, or 4 miles

48 divided by 2 times 0.9+0.3

Answers

The answer will be 2.88 hope this helps
48 ÷ 2 = 24
0.9 + 0.3 = 1.2
24 x 1.2 = 28.8

hope this helps.

suppose the probability is 0.25 that any given person will believe a rumor about the private life of a certain politician. What is the probability that the fifth person to hear the rumor will be the first one to believe it?

Answers

0.25*0.25*0.25*0.25*0.25=1/1024

Divide. −24/7 please help

Answers

-24/7 = -3.42857

positive divided by positive = positive

negative divided by negative = positive

positive divided by negative = negative

negative divided by positive = negative

hope this helps

To divide -24 by 7, divide 24 by 7 to get 3.4286 and then apply the sign, resulting in -3.4286 as the answer.

The student's question involves the arithmetic operation known as division. To divide
-24 by 7, you would perform the division as you would with positive numbers, then apply the sign of the numbers. Since one number is negative and the other is positive, the result will be negative. Performing the division: 24 divided by 7 equals approximately 3.4286. Since
24 is negative, the result is -3.4286. When dividing by a single digit, you don't necessarily need to apply long division; instead, you can estimate how many times 7 fits into 24.
Remember that division by powers of 10 involves moving the decimal point. However, that's not applicable here since 7 is not a power of 10.

Solve the compound inequality 6x-4 <-34 or 3x +10>10

Answers

6x-4<-34
6x>-30
x>-5

3x+10>10
3x>0
x>o
6x-4 < - 34
6x  > -34 + 4
6x > -30
x > -5

3x + 10 > 10
3x > 10 - 10
3x > 0
x > 0

how do you work ratio tables in 7th grade

Answers

Ratio tables are like proportional relationships (if you know what that is), and you have to do this:
6:9 is related to a:45 we don't know a, but since the prior ratio is related to this one, you simply take 9 times what is 45. The answer is 5, so then you multiply 6 times 5 to get 30. Then keep building off of that. The next problem will be 48, then 72.
The bottom ratios start with 10:15. 15 times 3 is 45 so 10 times 3 is 30. The next one is 100, then 70. Hope this helps, sorry that it's confusing!

is 1.875 rational or irrational? Explain


Identify the number as rational or irrational square root of 112

Answers

It has to be irrational. the square root of 112 is 10.58, which is irrational.

there are 5 dogs, 8 cats, and 2 birds for sale at the pet store. what is the ratio in simplest form of birds to cats?

Answers

2:8 and simplest form is 1:4

How do I solve: 3w/x=6e

Answers

The answer is ×=w/2e.thats it

Answer this question but I need you to show work

Answers

just add the 2 numbers together,

 the less expensive player cost $238 and it is $98 less than the more expensive one

 more expensive one cost 238 + 98 = $336

x = less expensive one. y = most expensive one

x = y - 98
x = 238

238 = y - 98
238 + 98 = y
336 = y <== the expensive one


On Tuesday , a local hamburger shop sold a combined total of 423 hamburgers and cheeseburgers . The number of a cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Tuesday ?

Answers

141 hamburgers were sold on Tuesday. 

Answer:

Step-by-step explanation:  A total of 517 tickets were sold for the school

play. They were either adult tickets or students' tickets There were 67 students' tickets    than adult tickets. How many adult tickets were sold?

simplify this expression 6-3c-c+4

Answers

-4c+10 I hope this helps

PLEASE HELP ME FIND THE PROPORTIONAL RELATIONSHIP AND EXPLAIN IT AND HOW YOU KNOW PLEASEEEE

Answers

The three pieces of data are given.
1/4 miles in 2/3 min
1/8 mile in 1/3 min
3/8 mile in 1 min

Each of them can be though of as a division or a fraction.
If you multiply the numerator and denominator of a fraction, you get an equivalent fraction.

Start with 1/4 mile in 2/3 min.
Divide both the distance and time by 2.
You get 1/8 mile in 1/3 min. This is the second piece of data, so the first and second pieces of data are proportional.

Now start with the second piece of data:
1/8 mile in 1/3 min, and multiply both by 3.
You get 3/8 mile in 1 minute. This is the third piece of data.

That means all pieces of data are proportional.

Chang made $247 for 13 hours of work at the same rate,how many hours would he have to work to make $323?

Answers

247 / 13 = 323 / x....247 to 13 hrs = 323 to x hrs
cross multiply
(247)(x) = (323)(13)
247x = 4199
x = 4199 / 247
x = 17 hrs <===
247 / 13 = 19

He makes $19 an hour.

323 / 19 = 17

He will need to work 17 hours to earn $323.

Hope this helps!

there are 156 students in 6 different classrooms. What is the ratio of students that classrooms? If there are 80 boys what is the ratio of boys to girls?

Answers

156-80=numb of girls 
numb of girls: 76

Ratio of boys to girls=80:76
=20:19

Ratio of students in classrooms= 156:6
=26:1

(assuming that each classroom has the same number of students)

The easiest way to find out ratios is to divide the total (in this case, students) by the divider (in this case, the classrooms). 

156 ÷ 6 = 26

The ratio of students to classrooms is 26 students per classroom, or 26 : 1.

In this case, you need to figure out how many girls there are first. 

156 - 80 = 76

Because you don't want to end up with a decimal, you need to find the GCF.

The factors of 76 are: 1, 2, 4, 19, 38, 76
The factors of 80 are: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Your GCF is 4, which is number you divide your total number of boys and total number of girls by.

80 ÷ 4 = 20
76 ÷ 4 = 19

The simplest ratio of boys to girl is 20 boys for every 19 girls, or 20 : 19

someone please help me

Answers

In order to prove these triangles congruent by SAS, AB and DE must be congruent. Thus, C is your answer.

Have an awesome day! :)

This question doesnt make sense, can you help me?

Answers

Greetings!

[tex]- \frac{1}{3}k=9[/tex]
Divide both sides by -1/3.
[tex](- \frac{1}{3}k)/- \frac{1}{3}=9/- \frac{1}{3}[/tex]
[tex]k=9/1*- \frac{3}{1}[/tex]
The Answer Is:
[tex]k=-\frac{27}{1}[/tex]
or...
[tex]k=-27[/tex]

Hope this helps.
-Benjamin

I WILL GIVE BRAINLIEST to who answers this question right

Answers

Answer:

  41 2/3 feet

Step-by-step explanation:

The sum of wall lengths (in feet) is ...

  (12 1/4) + (10) + (12 1/4) + (10 -2 5/6)

  = (12 + 10 + 12 + 8) + (1/4 + 1/4 - 5/6)

  = 42 + (3/12 + 3/12 -10/12)

  = 42 - 4/12 = 42 - 1/3

  = 41 2/3 . . . feet

if 6 bottles of perfect water weigh a total of 4 kilograms (kg), what is the weight of 9 bottles?

Answers

6/4 = 9/x....6 bottles to 4 kg = 9 bottles to x kg
cross multiply
(6)(x) = (9)(4)
6x = 36
x = 36/6
x = 6 kg <===
Hi. To complete this problem you simply need to multiply: 

9/6 x 4 = 6kg

I hope this helps. If you have any questions, please don't hesitate to ask.

Take care,
Diana

Help Please? GEOMETRY Use the word bank to help you with possible answers (there are extra options that are not to be used)


Word Bank:
definition of a midpoint
triangle RSX is congruent to triangle RXT
Definition of right angles
right angles are congruent
CPCTC
Reflexive property

Answers

Short Answers:

Answer for part A: Definition of perpendicular
Answer for part B: Right Angle Congruence Theorem
Answer for part C: Reflexive Property of Congruence
Answer for part D: Definition of Midpoint
Answer for part E: [tex]\triangle SXR \cong \triangle TXR[/tex]
Answer for part F: CPCTC

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

Explanations:

Part A:

We are given that [tex]\overline{RX} \perp \overline{ST}[/tex] which means, in english, "line segment RX is perpendicular to line segment ST"

By the very definition of perpendicular, this means that the two line segments form a right angle. This is visually shown as the red square angle marker for angle RXT. Angle RXS is also a right angle as well.

---------------------
Part B:

The Right Angle Congruence Theorem (aka Right Angle Theorem) is the idea that if we have two right angles, then we know that they are both 90 degrees so they must be congruent to one another. 

---------------------
Part C:

Any line segment is congruent to itself. This is because any line segment will have the same length as itself. It seems silly to even mention something so trivial but it helps establish what we need for the proof. 

---------------------
Part D:

We are given "X is the midpoint of segment ST" so by definition, X is in the very exact middle of ST. Midpoints cut segments exactly in half. SX is one half while TX is the other half. The two halves are congruent which is why SX = TX

---------------------
Part E:

Writing [tex]\triangle SXR \cong \triangle TXR[/tex] means "triangle SXR is congruent to triangle TXR". These two triangles are the smaller triangles that form when you draw in segment RX

Side Note: SAS stands for "side angle side". The angle must be between the two sides. The pairing RX and RX forms one of the 'S' letters (see part C), while the pairing SX and TX forms the other 'S' (see part D). The angles between the sides are RXS and RXT (see part B). 

---------------------
Part F:

CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent"

It means that if we have two congruent triangles, then the corresponding parts are congruent. Back in part E, we proved the triangles congruent. For this part, we look at the pieces RS and RT (which correspond to one another; they are the hypotenuse of each triangle). They are proven congruent by CPCTC

If CPCTC is an odd concept to think about, then try thinking about something like this: you have two houses which are completely identical in every way. We can say that those two houses are congruent. If the houses are identical, then surely every piece that makes up the house is identical to its corresponding piece to the other house. For example, the front door to each house is both the same size, shape, color, made of the same material, designed in the same pattern, etc. So the two doors are congruent as well.

Plz help... Which set of ordered pairs represents y as a function of x?

A)
{(-9, 2), (0, 6), (1, -2), (-3, 6)}


B)
{(-1, 0), (4, 3), (-7, -3), (-1, -8)}


C)
{(3, 2), (-4, -2), (3, 1), (-4, 1)}


D)
{(5, 4), (2, 3), (1, 1), (2, 4)}

Answers

it is a cuz to  be a function the x (domain) can only have one y (range)  in d it is the number 2 in the 2nd and fourth set of ordered pairs in c it is 3 the first one and the 3rd in b it is -1 its the first and the last one 
hope i helped you if u dont mind can i have brainlest 


Consider the graph of the linear function h(x) = –2/3x + 5. Which could you change to move the graph down 3 units?


the value of b to –3

the value of m to –3

the value of b to 2

the value of m to 2

Answers

Since the graph went down two units...

The value of b to 2 because you start with 5 as your y-intercept
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