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
Anna35 [415]
3 years ago
11

The length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, wo

rking on it. It takes 16 children 6 hours to put the jigsaw puzzle together. How many children are needed to put the same jigsaw puzzle together in 4 hours?
Mathematics
1 answer:
andrew11 [14]3 years ago
5 0

Answer:

<em>24 children</em>

Step-by-step explanation:

If the length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, this is represented as;

y  \alpha \frac{1}{x}\\y =\frac{k}{x}

k is the constant of proportionality

If it takes 16 children 6 hours to put the jigsaw puzzle together, this means at x = 16, y = 6

Substitute:

6 = k/16

k = 6*16

k = 96

W are to find number of children needed to put the same jigsaw puzzle together in 4 hours, this is done by substituting k = 96 and y = 4 into the expression y = k/x

y = 96/4

y = 24

<em>Hence it will take 24 children to put the same jigsaw puzzle together in 4 hours</em>

<em></em>

You might be interested in
Given the original number n. Multiply the number by 9. Add 99. Divide this sum by 9. Subtract the original number, n, from the q
tangare [24]

Answer:

11

Step-by-step explanation:

Hello,

Given the original number n.

\large \boxed{n}

Multiply the number by 9.

\large \boxed{9n}

Add 99.

\large \boxed{9n+99}

Divide this sum by 9.

\large \boxed{\dfrac{9n+99}{9}=n+11}

Subtract the original number, n, from the quotient.

\large \boxed{n+11-n=11}

Thank you.

4 0
3 years ago
Work on Screenshot i got this one wrong when i first tried it
adell [148]
The answer to your question is 30
3 0
3 years ago
Un hacendado a comprado doble numero de vacas que de bueyes, por cada vaca pago 70 dólares y por cada buey 85 dólares, si el imp
Oduvanchick [21]

Responder:

Número de bueyes = 12

Número de vacas = 24

Explicación paso a paso:

Dado que :

Número de vacas compradas = 2 veces el número de bueyes;

Sea número de bueyes = y

Número de vacas = 2 años

Costo de la vaca = 70

Costo de bueyes = 85

Costo total = 2700

Por lo tanto;

(2 años * 70) + (y * 85) = 2700

140 años + 85 años = 2700

225 años = 2700

225 años / 225 = 2700/225

y = 12

Número de bueyes = y = 12

Número de vacas = 2y = 2 * 12 = 24

5 0
3 years ago
two marathon runners leave the starting gate, one running at 12mph and the other at 8 mph. if they maintain this pace, how long
CaHeK987 [17]

So let us set up the equations:

 

d = rt

d = 12t and plug in r = 12

so after t hours, the faster runner is 12t miles which is for the faster runner.

 

d = rt

d = 8t plug in r = 8

so after t hours, the slower runner has 8t miles.

 

Now if you want to get the distance, simply subtract:

12t – 8t = 4t

 

Since we need to get the distance of ¼ mile, meaning:

12t – 8t = ¼

= 4(12t – 8t) = 4 x 1/4 -> multiply both sides by the lcd to clear the fractions

= 48t – 32t = 1

=16t = 1

Get t by dividing both sides by 16 to isolate t.

So the answer is 1/16 which is about 0.0625.

8 0
3 years ago
When 5 is added to a certain number and the result is multiplied by 3 the final answer is 27 what is the original number
Katyanochek1 [597]

Answer:

The original number is 4

Step-by-step explanation:

Let x be the number.

5 is added to x => 5+x

When it is multiplied by 3,

3*(5+x) = 27

=> 15 + 3x = 27

Subtract 15,

3x = 27 - 15 = 12

Divide by 3,

x = 4

3 0
3 years ago
Read 2 more answers
Other questions:
  • Can someone help with this quick
    13·1 answer
  • Nielsen ratings are based on televisions in 50005000 households. Nielsen estimates that 12 comma 00012,000 people live in these
    9·1 answer
  • Spiral Review (Reviews 2.G.A.1, 2.G.A.3, 3.0A.0.9)
    13·1 answer
  • What is 50.00 minus 30%?
    15·1 answer
  • How do you solve this
    14·1 answer
  • 0.3 divided by 2.51 plz ansewer
    5·2 answers
  • PLZ HELP ME!!!!!! Help Is Urgent!!!!!!!!!
    5·1 answer
  • Solve the proportion. x/33 = 6/11
    8·1 answer
  • Annie and Maria traveled overseas for days and stayed in three different hotels in three different cities: Stockholm, Sweden; Os
    12·1 answer
  • 14. What is the product of -3x and 5x2 + x?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!