1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mamont248 [21]
3 years ago
5

Alex was counting his coins by 2s, because one coin was left over, he counted them by 3s. again there as one left over so he cou

nted y 4s, then 5s, then 6s and finally 7s. each time there was one left over. knowing that Alex did not have more then 800 coins, exactly how many coins did he have?
Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
3 0
1. 

Let N be the number of coins of Alex

2a+1=N
3b+1=N
4c+1=N
5d+1=N
6e+1=N
7f+1=N

so N-1 is a multiple of 2, of 3, of 4, of 5, of 6 and of 7

so N-1 has factors 7*6*5*2*X, where X is another factor. 

2.
There is no need to write N-1 as 7*6*5*3*2*4, since being a multiple of 6, means being a multiple of 2, and of 3 as well. Also, no need to write *4, since 6 has already *2, but we need one more 2, that why we write 7*6*5*2*X

(7*6*5*2=420 is the LCM, least common multiple of 2,3,4,5,6,7)

3.

N-1=420*X. 

X cannot be 2 or more since N would become larger that 800.

X must be 1, so N-1=420, which means N=421 is the number of coins
You might be interested in
The price of a coat increased from $78 to $92. What is the price increase percentage?
svetlana [45]

Answer:

18%

Step-by-step explanation:

Percent change can be found using the following formula:

\frac{original-new}{original}*100

Original represents the initial cost where new represents the new cost.  We multiply the answer by 100 to get the percentage:

\frac{92-78}{78}*100 = 18%

6 0
3 years ago
Tamara and Clyde got different answers when dividing 2x4 + 7x3 – 18x2 + 11x – 2 by 2x2 – 3x + 1. Analyze their individual work.
lys-0071 [83]

<em>Note: As you may have unintentionally missed to add the different answers, based on which we had to check who solved correctly between Tamara and Clyda's work. </em>

<em>But, I am actually solving the expression and you must note that whoever (between Tamara and Clyda's work) may have got the same answer or match the answer with mine, would be the one who solved correctly.</em>

Answer:

We conclude that whoever (between Tamara and Clyda's work) may have got the answer as x^2+5x-2 after dividing   2x^4\:+\:7x^3\:-\:18x^2\:+\:11x\:-\:2 by 2x^2\:-\:3x\:+\:1  , would be the one who solved it correctly.

Step-by-step explanation:

Considering the expression

                            2x^4\:+\:7x^3\:-\:18x^2\:+\:11x\:-\:2

Lets divide the expression by 2x^2\:-\:3x\:+\:1

Solution Steps:

\frac{2x^4+7x^3-18x^2+11x-2}{2x^2-3x+1}

Factorizing

2x^4+7x^3-18x^2+11x-2:\quad \left(x-1\right)\left(2x-1\right)\left(x^2+5x-2\right)

\frac{\left(x-1\right)\left(2x-1\right)\left(x^2+5x-2\right)}{2x^2-3x+1}

Factorizing

2x^2-3x+1:\quad \left(2x-1\right)\left(x-1\right)

\frac{\left(x-1\right)\left(2x-1\right)\left(x^2+5x-2\right)}{\left(2x-1\right)\left(x-1\right)}

\mathrm{Cancel\:}\frac{\left(x-1\right)\left(2x-1\right)\left(x^2+5x-2\right)}{\left(2x-1\right)\left(x-1\right)}:\quad x^2+5x-2

x^2+5x-2

Thus,

\frac{2x^4+7x^3-18x^2+11x-2}{2x^2-3x+1}=x^2+5x-2

Therefore, we conclude that whoever (between Tamara and Clyda's work) may have got the answer as x^2+5x-2 after dividing   2x^4\:+\:7x^3\:-\:18x^2\:+\:11x\:-\:2 by 2x^2\:-\:3x\:+\:1  , would be the one who solved it correctly.

Keywords: expression, division

Learn more about expression division from brainly.com/question/1575482

#learnwithBrainly

3 0
3 years ago
Read 2 more answers
GEOMOTRY PLS HELP i got little time left
Gennadij [26K]

Answer:

Hope this solution helps you

3 0
3 years ago
Find the zeros or roots for the quadratic expression 2^2−8−10. Must show all work to receive credit
Sav [38]

Answer:

x = -1,5

Step-by-step explanation:

2x² - 8x - 10

2x² - 10x + 2x - 10

2x(x - 5) + 2(x - 5)

(x - 5)(2x + 2)

x = 5 x = -2/2

x = -1,5

5 0
2 years ago
Can anyone explain how to do this???
Alex73 [517]

Answer:

perimeter is length plus length width plus width

area is length times width

Step-by-step explanation:

(x+4)+(2x-23)=perimeter

(x+4)(2x-23)

hope this helps

8 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following represents the zeros of f(x) = 5x3 − 6x2 − 59x + 12? (2 points)
    10·1 answer
  • How do you solve his
    12·1 answer
  • How many elements make up matter
    7·2 answers
  • Write a real word problem that compares <br> 0.4 and 0.29. Then solve the problem.
    10·1 answer
  • Suppose you receive $100 for a graduation present, and you deposit it in a savings account. then each week thereafter, you add $
    5·1 answer
  • The class party started with five chocolate cakes cut in fourths as shown below in the example.
    6·1 answer
  • If anyone knows the anwser pls tell me
    11·1 answer
  • PLEASE ANSWER ASAP !!!!!!!!!!!!!!!!!!! WILL GET BRAINLEST IF CORRECT!!!!!!!!!!!!!!!!!!!!!!
    6·1 answer
  • What is the probability of spinning the pointer on the spinner below and getting a 2 or 4
    9·1 answer
  • Leonard and Marcus have saved up a total of $47.00. Leonard has saved 3 dollars less than 3/5 as much as Marcus. How much has Ma
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!