Mathematics College

Dan, Eric, and Frank are the leading scorers on their basketball team. Over the course of their high school careers, Dan scored 6/10 of the points that the three boys scored.
If Eric scored 7/10 of the remaining points and Frank scored 120 points, how many points did Dan score?

40 points

280 points

600 points

1,000 points

Answers

Answer 1

Answer: 600

Step-by-step explanation:

First, let's define our variables for this problem:

D = # of points that Dan scored.

E = # of points that Eric scored.

F = #of points that Frank scored.

We know that:

"Dan scored 6/10 of the points that the three boys scored."

D = (6/10)*(D + E + F)

"Eric scored 7/10 of the remaining"

In this case, the remaining refers to (1 - (6/10))*(D + E + F) = (4/10)(D + E + F)

Then:

E = (7/10)*(4/10)*(D + E + F)

And we also know that:

F = 120

Then we have a system of 3 equations:

D = (6/10)*(D + E + F)

E = (7/10)*(4/10)*(D + E + F) = (28/100)*(D + E + F)

F = 120

To solve this, the first step is try to reduce the number of variables, then we can just replace the 3rd equation into the other two:

D = (6/10)*(D + E + 120)

E = (28/100)*(D + E + 120)

Now let's try to isolate the variable E in the second equation:

E = (28/100)*D + (28/100)*E + 36.6

E - (28/100)*E = (28/100)*D + 36.6

E( 1 - 28/100) = (28/100)*D + 36.6

E*(72/100) = (28/100)*D + 36.6

E = (100/72)*((28/100)*D + 36.6) = (28/72)*D + 46.666...

Now let's replace this in the other equation:

D = (6/10)*(D + 120 + (28/72)*D + 46.666...)

Let's solve this for D.

D = (6/10)*(D*(100/72) + 166.666) = 100 + D*(47/72)*(6/10)

D - D*(100/72)*(6/10) = 100

D*(1- (100/72)*(6/10) ) = 100

D = 100/((1- (100/72)*(6/10) ) = 600

Dan scored 600 points

Related Questions

What is 2/2 subtracted by 1/2?

Answers

Answer:

1/2

Step-by-step explanation:

Combine the fractions by finding a common denominator.

2/2-1/2=1/2

1/2+1/2=2/2

Answer:

Extract form- 1/2

Decimals- 0.5

Step-by-step explanation:

Pls need help ASAP i need done before 11:59

Answers

Answer:

oop uh so just multiply the fraction by 5 sorry if i get it wrong i remeber doing this question in 3rd grade but kinda forgot

Step-by-step explanation:

TIME REMAINING
57:09
Solve for x.

6(x – 1) = 9(x + 2)

x = –8
x = –3
x = 3
x = 8

Answers

Answer:

-8

Step-by-step explanation:

plug in -8 for x

Solve for x. for the triangel below

Answers

Answer:

if you can show the triangle, that would be much helpful...

Can someone help me simplify this equation (explain how you did it please)

Answers

This is the solution step by step , hope it helps ! I’d appreciate it if you put a thanks And a brainiest !!!

Diane purchased a computer that was originally sold for 1252.00 it was discounted 32% how much did she pay

Answers

Answer:

400.64 is your answer

Step-by-step explanation:

I need brainlyest PLZ!!!!

ontent attribution Question Translate and simplify: the sum of 9 and -16 increased by 4.

Answers

Answer:

Now we'll reverse the process and translate word phrases into ... Eight more than means eight added to your present age. ... 9z−7. exercise 3.4.23. Translate each word phrase into an algebraic ... To take a sum, we look for the words of and and to see what is being added. ... Have questions or comments?

Step-by-step explanation:

C=1,9 and d=7,-7 find the midpoint of CD

Answers

Answer:

The midpoint of CD is (4, 1).

Answer:

4,1

Step-by-step explanation:

3⋅3/5 plz i need the answer fast

Answers

Answer:

1.8

Step-by-step explanation:

Answer:

9/5

Step-by-step explanation:

3 * 3 = 9

9/5

Please mark brainliest, thank you!!

In how many ways can a committee of three men and two women be formed from a group of nine men and nine women?
A committee of three men and two women can be formed from a group of nine men and nine women in ______ different ways.

Answers

can you explain more about the details

Do these pairs of values (x and y) represent two quantities that are proportional?
HELP ME PLEASE

Answers

Yes, it is proportional. The answer would be B.

Explanation:

The common difference in the X factors is 2, and t he common difference in the y factors is 1.

Answer:

its b but i am not sure because my text was different

Homework 6: angle relationships

Answers

What is the question?

Please help me answer this question please

Answers

Answer:

BCA

Step-by-step explanation:

What are the coordinates of point A?

A (8,-6)
B (-6,8)
C (-5,7)
D (7,-5)

Answers

(7,-5) because you do (x,y) and well if you go down the line of x and go to 7 you see that A is below it and you go down 5 so it makes it -5

it’s c or d good luck

5. At a pizza party, James and his friends ate three and one-fourth cheese pizzas and two and
three-fourths pepperoni pizzas. How much pizza did they eat in all?

Answers

Answer:

how much friends cuz you can calculate without the total amount of people

How do you find the volume of this fish tank 3feet 3feet 5feer

Answers

Answer:

Length x width x height (LxWxH) the answer is 45

Step-by-step explanation:

What does 14 + 7 = ???

Guys help!!!

Ples halp!

mef neesd helpepep¡

mefnei fneafi eisafneioeale¡¡¡¡¡¡¡

Answers

Answer:

Step-by-step explanation:

21 is the answer

Hope this helps

please help with this question ty

Answers

Answer:

C=13 I think this is the right answer

i think the answer is c :)

A pair of sunglasses is on sale for %26. The original price of the sunglasses was $40. What percent of the orignal prces is sale price?

Answers

Answer:$32 dollars

Step-by-step explanation:

Answer:

We are trying to find what PERCENT the sale price is of the sale price. To do that, we will have to divide the sale price by the original price and simplify.

In percent form, it is 65%.

The sale price, $26, is 65% of the original price, $40.

Step-by-step explanation:

hopefully this answers your question

“One subtracted from the product of 4 and a number is 1 1”

Answers

Answer:

Step-by-step explanation:

4x3=12

12-1=11

Matt has soccer practice on may4. He will practice every fourth day after that. Jacob begins baseball practice on may3 and continues to practice every third day after that.what will be the first date on which they both have practice

Answers

Answer:

May 12th

Step-by-step explanation:

For Matt's practice you multiply by 3 and for Jacob's practice you multiply by 4 to get both practices to 12.

Tammy says the quotient of 781 = 6 is 130 r1.
Use multiplication to check Tammy's answer.

Answers

130 x 6 = 780
Add the remainder of one and you get 781

-3/7 divided by 5/7
plss help ik im lazy but i have no paper lol first to help i will mark brainleist

Answers

-3/5

Hope this helped ;)

Is it's a function yes or no

Answers

No because there are 2 outputs
There can only be one output for every input

Fred used a number line to find the value of (−3) + (−5). Which of these number lines did he use?

Answers

Answer:

Step-by-step explanation:

ANSWER QUICKLY !

Drag each tile to the table to multiply
(6x - y)(2x – y +2).
-

Answers

Top row: 12x^2, -6xy 12x
bottom row: -2xy, -y^2, -2y

Please help me i’ll give u brainiest!!

Answers

ok what do you need help with

the answer would be C because it is the only one that makes sense

The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 70 inches, and a standard deviation of 10 inches. What is the probability that the mean annual snowfall during 64 randomly picked years will exceed 72.8 inches

Answers

Answer:

The probability that the mean annual snowfall during 64 randomly picked years will exceed 72.8 inches is 0.3897

Step-by-step explanation:

Mean =[tex]\mu = 70 inches[/tex]

Standard deviation =[tex]\sigma = 10 inches[/tex]

We are supposed to find the probability that the mean annual snowfall during 64 randomly picked years will exceed 72.8 inches

We will use z-score formula :

[tex]Z = \frac{x-\mu}{\sigma}\\Z=\frac{72.8-70}{10}\\Z=0.28[/tex]

We will use z table

[tex]P(X \geq 72.8)=1-P(X\leq 72.8)=1-0.6103=0.3897[/tex]

Hence the probability that the mean annual snowfall during 64 randomly picked years will exceed 72.8 inches is 0.3897

Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 8 more than 2 times the number of marbles Mark has, how many does each boy have to sell if the total number of marbles is 68?

Answers

Step-by-step explanation:

Don (8+x)

Mark (2x)

Don + Mark = 68

(8+x) + 2x =68

x + 2x = 68-8

3x =60

x =20

Therefore, Don has 28 marbles while Mark has 40 marbles

The amount that each boy have to sell if the total number of marbles is 68 is : Don 16 and Mark 52

Let M represent Mark and D represent Don

Hence:

M+D= 68 marbles

M = 68-D

D = 2M+8

D = 2(68-D)+8

D = 136-2D+8

9D = 144

D = 16

Thus:

Don = 16

Mark =68-16= 52

The amount that each boy have to sell if the total number of marbles is 68 is : Don 16 and Mark 52

Learn more here:

https://brainly.com/question/5956690

2,375×6 help i need step by step

Answers

Answer:

14250

Step-by-step explanation:

14250

=2375

Answer:

14,250

Step-by-step explanation:

Just multiply 6 by all of them.

Other Questions

The cost c in dollars to rent a surfboard is proportional to the number of hours H it cost you $30 to rent a surfboard for five hours this situation is c equals pls help me with my geo homework how do you spell tree A student in Europe performs the same experiment, but the AC frequency there is 50 Hz. How different length of sensitized tape will he need in order to get 25 spark marks, compared to the length of your tape for the same number of marks? Give the result in centimeters. In order to determine an objects location, you need a ___A. TimeB. Reference pointC. SpeedD. Displacement Which of the following is matter in its gas form? Friction Lightning Thunder Water vaporcould you help me i will give brainlyest A company reported the following amounts and balances: Beginning capital balance $45,000, Net Sales $420,000, Cost of Goods Sold $273,000, Total Expenses $112,000, Net Income $35,000, Ending Cash Balance $22,000, Withdrawals $7,200, Ending Accounts Receivable $27,000. What is the Ending Capital Balance If you go to see a psychodrama , You should expect a play that contains what? what can space exploration teach people about safeguarding earth's environment? Complete Darwin's view of how natural selection resulted in both unity and diversity of life.Match the terms in the left column to the appropriate blanks in the sentences on the right. Not all terms will be used.Reset Helpnatural selectionevolutionary adaptationAccording to his observations, Darwin proposed that the best-suitedwould survive andreproducesuccessfully than thoseadapted to their environment, andhe called thispopulationsindividuals in a populationThis mechanism could account for both the unity and diversity of features among species. Thesimilarities between the descent organisms and their common ancestor explain thelessoflife, while the force of natural selection in different environments accounts for theofunitylife.morediversitySubmitRequest Answer Which two statements are true for both compounds and mixtures?A. Their particles all have the same chemical formula.B. They can be separated into two or more elements.C. Their particles are held together by chemical bonds.D. They are made up of more than one type of atom.SMIT C. Use Hess's law and the following equations to calculate H for the reaction N2(g) + 2O2(g) N2O4(g). (Show your work.) (8 points)2NO2(g) N2O4(g) H = 57.0 kJ/molN2(g) + O2(g) 2NO(g) H = 180.6 kJ/mol2NO2(g) 2NO(g) + O2(g) H = 114.4 kJ/molPLS HELP I NEED THIS RIGHT NOW!! THANKS!!50 points for whoever give me an answer!! Plzzzzzzzzzzzzzzz help me on this its due right nowwwwwwwwwwwwwww!!!!3. What other inferences (conclusions) can you draw from the graph?4. Which species of livestock had the largest population in 1500? Which species had the largest population by the end of 1590?5. What conclusions can you draw about livestock growth? The electrons are located where in the atom? Can you hear radio waves Do you think this scene is typical of the hardship early colonists faced? why or why not? A goat is tethered to a rope that is 3.65 meters long. What is the maximum area of grass that the goat can graze on? Calculate the present value for the following assuming that the money can be invested at 12% percent. (Round discount factor(s) to 3 decimal places, intermediate and final answers to the nearest dollar amount.) Part AWhat can be inferred about the winged sandals in "Perseus and the Quest for the Head of Medusa"?They make Perseus invisible.They change Perseus into a hawk.They have a magical power.They are made of leather.Question 2Part BWhich evidence in the text best supports the answer to Part A?"Swifter than an eagle, he flew through the sky, as the sandals carried him north over the sea, over cities and towns, over ranges of snowy mountains, and at last to the sea of ice.""There were wings on his cap and sandals, and he carried a winged staff, around which two golden serpents were twined.""So Perseus donned the Cap of Darkness and sped away and away toward the edge of the earth, while the three maidens went back to their tree to sing and to dance and to guard the golden apples until the old world should become young again.""Then the man took off his winged sandals, and put them on Perseuss feet, and the queenly lady whispered, 'Be off at once, Perseus. Be bold and true, and fear nothing.'" why did Lincoln go to war