answer.
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
Andrej [43]
2 years ago
14

The combined age of three relatives is 120 years. James is three times the age of Dan, and Paul is two times the sum of the ages

of James and Dan. How old is each person?
Mathematics
1 answer:
lubasha [3.4K]2 years ago
3 0
Let dan's age be x  then:-
 james age is 3x  and  2(x + 3x) is Pauls age so we have:-

x + 3x + 2*4x = 120

12x = 120
x = 10 

so Dans age is 10 , James's age is 30 and Paul's age = 80




You might be interested in
Calculate the value of x to one decimal place. inches
kakasveta [241]

Use the law of cosines: c^2=a^2+b^2-2ab\cos C

We have:

c=x\\a=3in\\b=7in\\C=54^o

substitute:

\cos54^o\approx0.5878\\\\c^2=3^2+7^2-2\cdot3\cdot7\cdot0.5878\\\\c^2=9+49-24.6876\\\\c^2=33.3129\to c=\sqrt{33.3129}\\\\c\approx5.8

5 0
2 years ago
Identify whether the series summation of 12 open parentheses 3 over 5 close parentheses to the I minus 1 power from 1 to infinit
Finger [1]
∑ from 1 to infinity of 12(3/5)^(i - 1)
Since the common ratio is less than 1, the series is convegent. [i.e. 3/5 < 1]

Sum to infinity of a geometric series is given by a/(1 - r); where a is the first term, and r is the common ratio.

Sum = 12/(1 - 3/5) = 12/(2/5) = 30.
3 0
1 year ago
Alinethatincludesthepoint(6, 3)hasaslopeof 2 . what isitsequationin slope -intercept form?
Marianna [84]
Hi Kay, the point-slope form of a line is given by: y - y1 = m(x - x1). Substituting the given point, (6, -8), and the slope, -2, gives: y - (-8) = -2 * (x - 6) This becomes: y + 8 = -2x + 12
3 0
1 year ago
A game is played using one die. If the die is rolled and shows 1, the player wins $5. If the die shows any number other than 1,
mash [69]

Answer:

1/5

Step-by-step explanation:

i had a similar question

For each roll you start with paying 2 dollars and you only with 10 dollars one out of 6 rolls (on average). 

So the cost for one play is 2 dollars and your win is 10/6. 

Value is -2+10/6=-1/3 dollars

So you lose 1/3 dollars on average with each game

since you have no limited rolls u put 1/5

this from another question but both same just different numbers

6 0
2 years ago
Find the value of 3 + 5 × (2 − 1).
Alenkasestr [34]
Step 1 (simplify): 
3+5x(2-1)
8 x 1 

Step 2 (solve):
8 x 1 = 8

8 is your answer. Hope this helps :)
8 0
1 year ago
Read 2 more answers
Other questions:
  • the mean length of 7 books is 258 pages . the longest book has 294 pages. what is the mean length of the other 6 books
    7·1 answer
  • AFD=114 AFB=31 WHAT DOSE AFE=
    8·1 answer
  • If you have 20 square pieces of wood describe all the different ways you could make a rectangle by placing them side-by-side
    8·1 answer
  • Eva, the owner of eva's second time around wedding dresses, currently has five dresses to be altered, shown in the order in whic
    7·1 answer
  • Find the correct sum of each geometric sequence.
    7·2 answers
  • 9 out of 10 people at a game are rooting for the home team. What is the probability that exactly 6 of 8 people sitting together
    8·1 answer
  • The area of a rectangle is 1,357 square feet. The length is 59 feet. What is the width?
    7·2 answers
  • 1. Which formula defines the sequence f(1)=2, f(2)= 6, f(3)= 10, f(4)= 14, f(5)= 18?
    13·1 answer
  • Cody works at a car dealership where he earns $300 each week plus a commission equal to 1% of his total sales. This week his goa
    5·1 answer
  • The sum of the measures of two vertical
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!