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
wolverine [178]
3 years ago
10

Sam thought of a natural number, and then he added the next natural number to it. He got the sum of 75. What was Sam’s number?

Mathematics
1 answer:
Aleks [24]3 years ago
5 0

Answer:

37

Step-by-step explanation:

Naturals numbers are 1, 2, 3, 4, 5, ....

The difference in natural numbers are "1".

2 is "1" unit away from 1

3 is "1" unit away from 2

and so on...

So, if we let the unknown natural number be "x", then it follows that the next natural number would be "x + 1".

The question says that Sam added a natural number (let it be x) with the next natural number (that is x + 1) and got 75. So we can write:

x + x + 1 = 75

Now we add like terms and solve for x:

2x + 1 = 75

2x = 75 - 1

2x = 74

x = 74/2

x = 37

So Sam thought of the number 37

You might be interested in
Marsha gave the cashier $20 to pay for 3 pairs of socks. The cashier gave her $5.03 in change. Each pair of socks cost the same
allochka39001 [22]

Answer:

$4.99

Step-by-step explanation:

If she pays with $20 and recieves $5.03 in change, her total cost was 20 - 5.03 or $14.97. If each pair of socks is the same amount, 14.97 / 3 will give you the amount per each pair. 14.97 / 3 = $4.99

7 0
3 years ago
Read 2 more answers
7 x 5 x35 = 701223123
9966 [12]

Answer:

don't know how to answer that lol

Step-by-step explanation:

6 0
3 years ago
Factor x3+x2+x+1 by grouping. What is the resulting expression
zmey [24]

Answer:

(x+1) (x^2+1)

Step-by-step explanation:

x^3+x^2+x+1

Factor by grouping

x^3+x^2           +x+1

Factor out x^2 from the first group  and 1 from the second group

x^2( x+1)  + 1( x+1)

Factor out (x+1)

(x+1) (x^2+1)

7 0
3 years ago
Read 2 more answers
If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5),
nikklg [1K]

Step-by-step explanation:

<u>Step 1:  Solve using the first point</u>

<em>(2, 28)</em>

28 = a(2)^3 + b(2)^2 + c(2) + d

28 = 8a + 4b + 2c + d

<u>Step 2:  Solve using the second point</u>

<em>(-1, -5)</em>

-5 = a(-1)^3 + b(-1)^2 + c(-1) + d

-5 = -a + b - c + d

<u>Step 3:  Solve using the third point</u>

<em>(4, 220)</em>

220 = a(4)^3 + b(4)^2 + c(4) + d

220 = 64a + 16b + 4c + d

<u>Step 4:  Solve using the fourth point</u>

<em>(-2, -20)</em>

-20 = a(-2)^3 + b(-2)^2 + c(-2) + d

-20 = -8a + 4b - 2c + d

<u>Step 5:  Combine the first and fourth equations</u>

<u />28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d

8 = 8b + 2d

8 - 8b = 8b - 8b + 2d

(8 -8b)/2 = 2d/2

4 - 4b = d

<u>Step 6:  Solve for c in the second equation</u>

-5 + 5 = -a + b - c + d + 5

0 + c = -a + b - c + c + d + 5

c = -a + b + d + 5

<u>Step 7:  Substitute d with the stuff we got in step 5</u>

c = -a + b + (4 - 4b) + 5

c = -a + b + 4 - 4b + 5

c = -a - 3b + 9

<u>Step 8:  Substitute d and c into the first equation</u>

<u />28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)

28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b

28 - 22 = 6a - 6b + 22 - 22

6 / 6 = (6a - 6b) / 6

1 + b = a - b + b

1 + b = a

<u>Step 9:  Substitute a, b, and c into the third equation</u>

220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)

220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b

220 - 100 = 60b + 100 - 100

120 / 60 = 60b / 60

2 = b

<u>Step 10:  Find a using b = 2</u>

a = b + 1

a = (2) + 1

a = 3

<u>Step 11:  Find c using a = 3 and b = 2</u>

c = -a - 3b + 9

c = -(3) - 3(2) + 9

c = -3 - 6 + 9

c = 0

<u>Step 12:  Find d using b = 2</u>

d = 4 - 4b

d = 4 - 4(2)

d = 4 - 8

d = -4

Answer:  a = 3, b = 2, c = 0,d = -4

6 0
3 years ago
Read 2 more answers
Who knows about ratios
Kaylis [27]
I can help you. Just post the question
5 0
3 years ago
Other questions:
  • According to Egyptian artifacts, how early was the concept of the square root known?
    15·2 answers
  • Can anyone help me please. will give you brainliest.
    11·1 answer
  • PLZ ANSWER THIS QUICK! THANK YOU!
    6·1 answer
  • In a sequence described by a function, the notation f(2) = 4 means that the term of the sequence has a value of . Sequences can
    14·2 answers
  • If you were traveling at 40mph for 3.6 hours, then how many total miles have you traveled?
    15·2 answers
  • A line passes through the points (6,5) and (2,2) . Select Yes or No to tell whether each equation describes this line. Equation
    5·1 answer
  • Kelly opened a savings account 14 years ago. She has not made any
    5·1 answer
  • PLEASE HELP ME WITH THIS, ITS 12 AM
    11·1 answer
  • On a map 1 inch = 50 miles. If two cities are 3 1/2 inches apart, how many miles are they apart?
    6·1 answer
  • PLS HELP 100 POINTS ILL EVEN SEND U 50 AFTER IF U HELP
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!