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
-BARSIC- [3]
3 years ago
11

An example of consecutive odd integers is 23, 25, 27, and 29. Find four consecutive odd integers with a sum of 160. Show your wo

rk. After completing the problem, write out the steps, in words, that you used to solve the problem??????????????? Please tell me the steps to so I can understand please.
Mathematics
1 answer:
Andrew [12]3 years ago
8 0
Step1: Define an odd integer.
Define the first odd integer as (2n + 1), for n = 0,1,2, ...,
Note that n is an integer that takes values 0,1,2, and so no.

Step 2: Create four consecutive odd integers.
Multiplying n by 2 guarantees that 2n will be zero or an even number.
Therefore (2n + 1) is guaranteed to be an odd number.
By adding 2 to the odd integer (2n+1), the next number (2n+3) will also be an odd integer.

Let the four consecutive odd integers be
2n+1, 2n +3, 2n +5, 2n +7 

Step 3: require that the four consecutive integers sum to 160.
Because the sum of the four consecutive odd integers is 160, therefore
2n+1 + 2n+3 + 2n+5 + 2n +7 = 160
8n + 16 = 160
8n = 144
n = 18

Because 2n = 36, the four consecutive odd integers are 37, 39, 41, 43.

Answer: 37,39,41,43

You might be interested in
There are 120 people at a party 1/3 leave work out the number of people still at the party
Tpy6a [65]

Answer:

80

Step-by-step explanation:

1/3 of 120 is 40

If 40 leave

People left in party=120-40=80

7 0
3 years ago
Read 2 more answers
Divide £88 between Bill and Sam. If Sam gets
Lynna [10]
<h3>Answer:  £66</h3>

Your teacher may want you to leave off the pounds sign.

==========================================================

Explanation:

x = amount Bill gets

3x = amount Sam gets, because he gets three times as much

x+3x = 4x = total amount of money

4x = 88

x = 88/4

x = 22

Bill gets £22

3x = 3*22 = 66

Sam gets £66

Note that 22+66 = 88 to help confirm the answer.

4 0
3 years ago
a rectangular prism has a volume of 300 cm squared if the scale factor of the second rectangular prism is 3.5 what is the volume
velikii [3]
Volume of rectangular prism= 30 cm³
Formula for volume of rectangular prism:
V=whl
Scale factor of second prism= 3.5 
Which is 3 and a half times greater than the 1st one.
So volume of 2nd prism = 3. 5 x 300 
V= 1050 cm³

Answer: Volume of second Rectangular Prism is 1050 cm³
6 0
3 years ago
A business owner opens one store in town A. The equation p(x) = 10,000(1.075) represents the anticipated profit after t years. T
alexgriva [62]
The rigth equation to anticipate the profit after t years is p(t) = 10,000 (1.075)^t

So, given that both store A and store B follow the same equations but t is different for them, you can right:

Store A: pA (t)  10,000 (1.075)^t

Store B: pB(t'): 10,000 (1.075)^t'

=> pA(t) / pB(t') = 1.075^t / 1.075^t'

=> pA(t) / pB(t') = 1.075 ^ (t - t')

And t - t' = 0.5 years

=> pA(t) / pB(t') = 1.075 ^ (0.5) = 1.0368

or pB(t') / pA(t) = 1.075^(-0.5) = 0.964

=> pB(t') ≈ 0.96 * pA(t)

Which means that the profit of the store B is about 96% the profit of store A at any time after both stores have opened.


7 0
3 years ago
Read 2 more answers
4 1/4 - 3 3/4 is you get this you will have 11 points ​
jonny [76]

Answer:Exact Form: 1/2

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • Please answer my question now in two minutes
    14·1 answer
  • What is 28 division 4
    14·2 answers
  • Find the approximate value of the circumference of a circle with the given radius. Use pi = 3.14. Round your results to one more
    6·2 answers
  • The vertices of a triangle are A(0,3) B(-2,-4) and C(1,5) find the new vertices
    6·1 answer
  • LSAT test scores are normally distributed with a mean of 152 and a standard deviation of 10. Find the probability that a randoml
    7·1 answer
  • I need some help this math problem
    9·2 answers
  • The graph of f(x) = StartRoot x EndRoot is reflected across the x-axis and then across the y-axis to create the graph of functio
    10·2 answers
  • Plz help ZOOM IN TO SEE IT CLEAR
    10·1 answer
  • If triangle ABC is dilated from point A by a factor of 1/2 which of the following equations is true about line segment D’E’.
    6·1 answer
  • Which of the following describes a simple event?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!