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
lozanna [386]
3 years ago
8

josh is 6 years older than 4 times Kim's age. The sum of their ages is less than 31. what is the oldest Kim could be? show all y

our work.
Mathematics
1 answer:
Mice21 [21]3 years ago
7 0

Answer:

4 years old.

Step-by-step explanation:

Lets say that Josh's age is j and Kim's age is k. As Josh is 6 years older than 4 times Kim's age, we can write this as an equation:

j = 4k + 6

This is, John's age is equal to four times Kim's plus 6 years.

We then know that, when summed their ages is less than 31, so:

k + j < 31

Replace John's age by our first equation:

k + 4k + 6 < 31

5k + 6 < 31

Subtract 6 in both sides:

5k + 6 - 6 < 31 - 6

5k < 25

Dividing both sides by 5:

5k/5 < 25/5

k < 5

So, Kim's age MUST be less than 5.

If we talk about discrete values, this is 1, 2, 3, 4, 5, 6...., we will say than the oldest Kim could be is 4. If Kim is 5 years old, the sum of ages is 31 and we need it ti be LESS than 31. (we are not considering fractional numbers as 4.5 years old).

So, Kim can be, at maximum, 4 years old.

You might be interested in
You and your friend have agreed to do a job which pays $200 total. If you and your friend together complete 1/4 of the overall j
butalik [34]

Answer:

If you and your friend are splitting a 200 dollar job, the answer would be 25$

Step-by-step explanation:

So, divide 200 by 4

You will get 50

Then divide 50 by 2

This gives you the answer of 25

So each friend will get 25 dollars for completing 1/4th of the job

Hope this is correct and helps!

5 0
3 years ago
Read 2 more answers
the area of a square room can be expressed as 196x12y10z6 square feet . hajime is installing a wallpaper border along the perime
pantera1 [17]
Area for square = s² = 196x¹²y¹⁰z⁶

s = √(<span>196x¹²y¹⁰z⁶)

s = 14x</span>⁶y⁵z³

Perimeter = 4*s = 4*(14x⁶y⁵z³) = 56x<span>⁶y⁵z³

Perimeter = 56</span>x<span>⁶y⁵z³        D</span>
7 0
3 years ago
Mapiya writes a series of novels. She earned \$75{,}000$75,000dollar sign, 75, comma, 000 for the first book, and her cumulative
qwelly [4]

Answer:

E(n)=75000 \times 2^n

Complete question:

write a function that gives mapiyas cumulative earnings E(n), in dollars when she has written n sequel's

Step-by-step explanation:

According to the question, she earned $75000 for the first book.

Also,We are  given that her cumulative earnings double with each sequel that she writes.

Assuming she has written n sequel's

Now since we are given that her cumulative earnings double with each sequel

So, her initial earning will be 2^n times

So, her earning will be : 75000 \times 2^n

Now we are given that cumulative earnings is denoted by E(n)

So, the function becomes :E(n)=75000 \times 2^n

Hence a function that gives Mapiya's cumulative earnings E(n), in dollars when she has written n sequel's  is  E(n)=75000 \times 2^n

4 0
3 years ago
it costs $x for a round trip bus ticket to the mall. You have $24. Write an inequality to represent the greatest amount of money
Nataliya [291]

Answer: x + 18.99 \leq 24

Step-by-step explanation:

Since, the cost of bus fair = x dollars,

Also, a baseball cap which is $18.99 is needed to buy with the given money,

Hence, total expenditure = x + 18.99

While the given money for spending = 24 dollars,

That is, the expenditure can not be exceeded to $ 24.

Thus, the required inequality,

x + 18.99 \leq 24

4 0
3 years ago
4 % increase of 4 million=
olchik [2.2K]

Answer:

160,000

Step-by-step explanation:

.04*4000000

6 0
3 years ago
Read 2 more answers
Other questions:
  • If x,y and z are positive integers and 3x=4y=7z,
    12·1 answer
  • Draw a double number line to solve the following rate problem.
    9·2 answers
  • Which of the following lists all the positive factors of 8 ?
    11·1 answer
  • Students at Westbrook middle school hold green team meetings
    7·1 answer
  • HELP PLEASE FAST 15 and 16 how to solve PLEASE <br><br>​
    13·2 answers
  • PLEASE HELP ME I BEG I WILL GIVE BRAINLIEST
    7·1 answer
  • The table below shows the number of miles a bicycle rider goes in 1, 2, and 3 hours. What are the two variables in the situation
    7·1 answer
  • Somebody help ya plz
    6·2 answers
  • Find the SUm of the infinite series.
    8·1 answer
  • 12n²-4mn<br> factorise completely
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!