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3 years ago

The sum of three consecutive odd numbers is 75. what is the smallest of these numbers,n?

2 answers:

Natasha2012 [34]3 years ago

5 0

$a,a+2,a+4-\ three\ odd\ numbers\\\\
a+a+2+a+4=75\\\\
3a+6=75\ \ \ \ | subtract\ 6\\\\
3a=69\ \ \ \ | divide\ by\ 3\\\\
a=23\\\\
The\ smallest\ number\ is\ 23.$

vlabodo [156]3 years ago

4 0

Let x equal the lowest of the 3 consecutive odd integers:
(x) + (x + 2) + (x + 4) = 75
Combine like terms:
3x + 6 = 75
-6 -6
3x = 69
/3 /3
x = 23
The lowest integer is 23. The 3 integers, therefore, are 23, 25, and 27.
Hope this helps!
~ArchimedesEleven

You might be interested in

Samantha bought 26 total fish. Each goldfish cost $3 and each guppy costs $4. She spent $86 total. How many guppies did she buy?

Alex787 [66]

Answer:

goldfish is 15 and guppies is 11

Step-by-step explanation:

Given data

let the number of goldfish be x

and the number of guppies be y

x+y= 25----------1

and

3x+4y= 86-------2

solve 1 and 2

x+y= 25

3x+4y= 86

from 1

x= 25-y

put this in 2

3(25-y)+4y= 86

75-3y+4y= 86

75+y= 86

y= 86-75

y=11

put y= 11 in 1

x+11= 26

x= 26-11

x= 15

Hence goldfish is 15 and guppies is 11

5 0

2 years ago

Suma a trei numere este 30. Primul numar este de doua ori mai mare decat triplul celui de-al treilea numar si de doua ori mai ma

Sloan [31]

a + b + c = 30 ;
a = 6c ;
a = 2b ;

Then, c = a / 6 and b = a / 2 ;
a / 6 + a / 2 + a = 30 ;
a / 6 + 3a / 6 + 6a / 6 = 180 / 6 ;
10a = 180 ;
a = 18 ;
b = 9 ;
c = 3.

Good luck !

4 0

3 years ago

Simplify (9x^3+2x^2-5x+4)-(5x^3-7x+4)

svlad2 [7]

This is the answer ^^^^^

3 0

2 years ago

A recent study focused on the number of times men and women send a Twitter message in a day. The information is summarized below

jok3333 [9.3K]

Answer:

The value of the test statistic = 2.58

Test statistic Z = - 4.805

|Z| = 4.805 > 2.58

Null hypothesis is rejected The value of the test statistic = 2.58

There is significant difference between in the mean number of times men and women send a Twitter message in a day

Step-by-step explanation:

Step(i):-

Sample size of men n₁ = 25

mean of the first sample x₁⁻ = 20

Standard deviation of the first sample σ₁ = 5

Sample size of women n₂ = 30

mean of the second sample x₂⁻ = 30

Standard deviation of the first sample σ₂ = 10

Level of significance ∝= 0.01

Step(ii):-

Null Hypothesis : H₀: There is no significant difference between in the mean number of times men and women send a Twitter message in a day

Alternative Hypothesis :H₁:There is significant difference between in the mean number of times men and women send a Twitter message in a day

Test statistic

$Z = \frac{x^{-} _{1} - x^{-} _{2} }{\sqrt{\frac{S.D_{1} ^{2} }{n_{1} }+\frac{ S.D_{2} ^{2}}{n_{2} } } }$

$Z = \frac{20 - 30 }{\sqrt{\frac{(5)^{2} }{25 }+\frac{ (10)^{2} }{ 30} } }$

Z = $\frac{-10}{2.081} = - 4.805$

The value of the test statistic = 2.58 C

|Z| = 4.805 > 2.58

Null hypothesis is rejected The value of the test statistic = 2.58

Conclusion:-

There is significant difference between in the mean number of times men and women send a Twitter message in a day

7 0

2 years ago

I forgot how I check to see if my answer is right :,) can anyone help me ;v; The answer is right I just forgot how to check it

Novosadov [1.4K]

Answer:

see below

Step-by-step explanation:

To check your solution , plug the value of k into the original equation

6(7k-10) =24

k=2

6(7*2-10) =24

6(14-10) =24

6(4) =24

24=24

The solution is correct

3 0

2 years ago