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
almond37 [142]
3 years ago
14

James is X years older than Alex. Alex is X years older than Kim. James is twice as old as Kim. Alex is 24. Which of the followi

ng ages is possible for James?
Mathematics
2 answers:
Alex Ar [27]3 years ago
8 0

Answer with explanation:

Let age of Kim = k years

Age of James = 2k years----(1)

Age of Alex = (k+x ) years

Age of James =k+x+x=(k+2 x) years-----(2)

Equating (1) and (2)

2 k= k+2 x

2k-k=2x

k=2 x

And, Alex's age=24

k+x=24----(3)

k-2x=0---(4)

Subtracting 4 from 3, we get

3 x=24

Dividing both sides by , 3 we get

x=8

Putting the value of x in equation 4, we get

k=2*8

k=16

So, James Age =2k years

               =2*16

               =32 years

Option A: 32

GarryVolchara [31]3 years ago
3 0
All of them would be true so I would say the answer would be D. 
hope that helped.
You might be interested in
The school that Joe goes to is selling tickets to a choral performance. On血e first day of ticket
ArbitrLikvidat [17]

Answer:

The price of one senior citizen ticket is $8, and the price of one child ticket is $11.

Step-by-step explanation:

You are looking for two things: the price of a senior citizen ticket and the price of a child ticket.

We need to write two equations using two variables.

Let s = price of 1 senior citizen ticket.

Let c = price of 1 child ticket.

First day of ticket sales:

6 senior citizen tickets, 8 child tickets, total sales of $136

Since s is the price of a senior citizen ticket, 6 tickets cost 6s.

Since c is the price of a child ticket, 8 tickets cost 8c.

The total sales is 6s + 8c.

The total sales is $136, so our first equation is

6s + 8c = 136

Now we do the same for the second day of ticket sales.

6 senior citizen tickets, 9 child tickets, total sales of $147.

Since s is the price of a senior citizen ticket, 6 tickets cost 6s.

Since c is the price of a child ticket, 9 tickets cost 9c.

The total sales is 6s + 9c.

The total sales is $147, so our second equation is

6s + 9c = 147

The system of equations is

6s + 8c = 136

6s + 9c = 147

Multiply both sides of the first equation by -1. Write the second equation below it. Then add the equations.

       -6s - 8c = -136

(+)     6s + 9c = 147

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

                  c =   11

c = 11, so the cost of a child ticket is $11.

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

6s + 8c = 136

6s + 8(11) = 136

6s + 88 = 136

6s = 48

s = 8

The price of a senior citizen ticket is $8.

The price of a senior citizen ticket is $8, and the price of a child ticket is $11.

6 0
3 years ago
Roland says the number of cups of iced tea t depends on the number of tea bags b. He says the equation represents the relationsh
nika2105 [10]

Answer:

I think Roland is correct in his statement.

Step-by-step explanation:

Roland says the number of cups of iced tea t depends on the number of tea bags b and he says the equation represents the relationship between the number of tea bags b and the cups of iced tea t = \frac{b}{1.5}.

I think Roland is correct in his statement and this is because here t is a function of b i.e. t = f(b) and hence, the number of cups of iced tea t depends on the number of tea bags b. (Answer)

5 0
4 years ago
Here are some values of sequence Q. Write a recursive definition for the sequence.
Rashid [163]

Answer: Q(n) = Q(n - 1) + 2.5

Step-by-step explanation:

We have 3 values of the sequence Q(n)

These values are:

Q(1) = 3

Q(3) = 8

Q(7) = 18

I would think that this is a geometric sequence.

Remember that the equation for the n-th term of a geometric sequence is:

A(n) = A(1)*r^(n-1)

where r is a constant, and A(1) is the first term of the sequence.

If we rewrite the terms that we know of Q(n) in this way we get:

Q(3) = Q(1)*r^(3 - 1) = 3*r^2 = 8

Q(7) = Q(1)*r^(7 - 1) = 3*r^6 = 18

Then we have two equations:

3*r^2 = 8

3*r^6 = 18

We should see if r is the same for both equations:

in the first one we get:

r^2 = 8/3

r = (8/3)^(1/2) = 1.63

and in the other equation we get:

r^6 = 18/3

r = (18/3)^(1/6) = 1.34

Then this is not a geometric sequence.

Now let's see if this is an arithmetic sequence.

The n-th term of an arithmetic sequence is written as:

A(n) = A(1) + (n - 1)*d

where d is a constant.

If we write the terms of Q(n) that we know in this way we get:

Q(3) = Q(1) + (3 - 1)*d = 3 + 2*d = 8

Q(7) = Q(1) + (7 - 1)*d = 3 + 6*d = 18

We need to see if d is the same value for both equations.

in the first one we get:

3 + 2*d = 8

2*d = 8 - 3 = 5

d = 5/2 = 2.5

In the second equation we get:

3 + 6*d = 18

6*d = 18 - 3 = 15

d = 15/6 = 2.5

d is the same for both terms, then this is an arithmetic sequence.

An arithmetic sequence is a sequence where the difference between any two consecutive terms is always the same value (d)

Then the recursive relation is written as:

A(n) = A(n - 1) + d

Then the recursive relation for Q is:

Q(n) = Q(n - 1) + 2.5

4 0
3 years ago
Please can someone helpppp
GenaCL600 [577]
A) 8 - add up the how many numbers there are after the 4 on the left column

b) 41 - line up all of the numbers from least to greatest and find the middle number

c) 39 - do step b again but this time remove the oldest worker and add the younger one in
6 0
3 years ago
Read 2 more answers
Please help!<br><br> i need to know the correct answer(s) ! <br><br> thanks
Fofino [41]
The answer is C and D
7 0
3 years ago
Read 2 more answers
Other questions:
  • Troy cycled 57 miles in 3 hours. if he cycled at a constant rate, what was his rate in mph?
    10·2 answers
  • Your new flashlight uses a parabolic mirror which can be modeled by the equation (x – 2)² = 5(y + 1), where x and y are measured
    12·2 answers
  • Original Price: $.75<br> Discount: ? <br> Sale Price: $.15<br> What’s the discount
    14·1 answer
  • Please help me with this algebra question.<br><br>Solve the inequality.<br><br>|x + 7| &lt; 11
    11·1 answer
  • I am pretty sure I know the answer but I need to be certain. Please answer and give explanation if possible.
    7·1 answer
  • What is the answer to y+14=-14
    8·2 answers
  • The value of x in the isosceles trapezoid
    7·1 answer
  • Select all ordered pairs that satisfy the function y = 5x + 5.
    5·1 answer
  • $51.57 this is right
    12·2 answers
  • The residents of a certain dormitory have collected the following data: People who live in the dorm can be classified as either
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!