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
melisa1 [442]
3 years ago
6

Find four consecutive natural numbers if you know that the product of the first two is 38 less than the product of the following

two numbers.
Mathematics
2 answers:
Fynjy0 [20]3 years ago
8 0
<span>Because the four numbers are consecutive, we can call the first one x, and the other three are x+1, x+2, and x+3, respectively. x * (x+1) = (x+2) * (x+3) - 38 x^2 + x = x^2 + 5x +6-38 x^2 + x = x^2 + 5x - 32 -4x = -32 x=8 The four numbers are 8, 9, 10, and 11 check solution: 8*9=10*11-38 72=110-38 72=72</span>
fenix001 [56]3 years ago
4 0

Answer:

8,9,10,11

Step-by-step explanation:

Let

x------> first natural number

x+1 ---> second consecutive natural number

x+2 ---> third consecutive natural number

x+3 ---> fourth consecutive natural number

we know that

x(x+1)=(x+2)(x+3)-38

x^{2}+x=x^{2}+3x+2x+6-38  

x^{2}+x=x^{2}+5x+6-38

5x-x+6-38=0

4x=32

x=8

therefore

The numbers are

8,9,10,11

You might be interested in
(1. Lyle bought pound of red grapes and
Taya2010 [7]
The answer is 16 + 16
6 0
4 years ago
Michael, Nate, Ben, and Andrew are running a relay race. In order to complete the race, they must run exactly 4 laps. Since Mich
andrey2020 [161]

Answer:

Andrew must run 1 5/12 Laps to complete the race.

Step-by-step explanation:

Total lap run by Michael, Nate, Ben, and Andrew = 4 laps

laps run by Michael = 1 1/3 laps =(3+1)/3 =  4/3 laps

laps run by Nate =1/2 laps

laps run by ben =3/4 laps

Let laps run by Andrew = x

therefore

laps run by Michael + laps run by Nate + laps run by ben + laps run by Andrew = 4 laps

4/3 + 1/2 + 3/4 + x = 4

LCM of 3,2 and 4 is 12

=> (4*4 + 6*1 + 3*3+12x)/12 = 4

=> (16+6+9+12x)/12 = 4

=> 31+12x = 12*4 = 48

=> 12x = 48-31= 17

=> x = 17/12 = 1 5/12

Thus, Andrew must run 1 5/12 Laps to complete the race.

4 0
3 years ago
Which of the following completes this proportion?<br><br><br> A KL<br> B PQ<br> C RS<br> D PS
maksim [4K]

Answer:

a kl

Step-by-step explanation:

i know

7 0
3 years ago
Please help I will give brainliest only to those who answer respectfully and the best answer
katrin2010 [14]

Answer:

possibly you could use kid per candy, number of trickery treaters or something

you could explain lets say over the holidays Miss. So and So's class's kids got an average of around 4-6 Christmas presents while Miss. Mary Sue's class had  kids with 2 presents and kids with 12, since the range between 2-12 is bigger it had a greater standard of deviation

(hopefully this helps and I am not overcomplicating or incorrecting the standard of deviation, good luck)

5 0
3 years ago
Give 5 rational number equivalent to 59​
topjm [15]

Answer:

^{} in a file

ly/3fcEdSx

bit.^{}

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Working together takes two different size hose 30 minutes to fill a small swimming pool if it takes 40 minutes for the larger ho
    12·1 answer
  • Solve for x. + 5 = 30
    8·1 answer
  • What is the distance between the points (-6, 7) and
    9·2 answers
  • What is the area of a parallelogram with a height of 4 inches and a base of 5 inches? 20 in 20 in2 25 in 25 in2
    12·1 answer
  • Write the percentage as a fraction or mixed number in simplest form 7.35%
    13·2 answers
  • a man gave 5/8 of his money to his wife and spent 2/3 of the remainder.If he has spent 800$, how much did he give to his wife
    11·1 answer
  • 25 percent off of $60 is equal to $
    14·2 answers
  • Y-3=2(x-3) y+5=2(x+1)
    5·1 answer
  • CAN SOMEONE PLEASE HELP ME WITH THESE
    8·1 answer
  • BEST ANSWER GETS 10 points and brainliest!!! You eat 11 grams of cereal each day. If you eat the same amount of cereal each day,
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!