All categories

3 years ago

The sum of three consecutive odd numbers is 165 what is the smallest of the three numbers

1 answer:

4 0

Three consecutive odd integers: n, n + 2, and n + 4

n + (n + 2) + (n + 4) = 165
3n + 6 = 165
3n + 6 - 6 = 165 - 6
3n = 159
3n / 3 = 159 / 3
n = 53

So the first number is n, or 53.
The second number is n + 2, or 55.
The third number is n + 4, or 57.

<span>Hope this helps! :)</span>

You might be interested in

Help please:Suppose that x and y inversely, and x=10 when y=8 write the function that models the inverse variation

jarptica [38.1K]

SOLUTION

From the question, we are told that y varies inversely as x

This is mathematically written as

$\begin{gathered} y\propto\frac{1}{x} \\ \propto\text{ is a sign of proportionality } \end{gathered}$

Now, we will remove the proportionality sign and replace it with equal to sign =

If we do this, we will intoduce a constant k

$\begin{gathered} y\propto\frac{1}{x} \\ y=k\times\frac{1}{x} \\ y=\frac{k}{x} \end{gathered}$

So we have the formula

$y=\frac{k}{x}$

We will substitute the values of x for 10 and y for 8 into the formula to get k, we have

$\begin{gathered} y=\frac{k}{x} \\ 8=\frac{k}{10} \\ k=8\times10 \\ k=80 \end{gathered}$

Now, we will substitute k for 80 back into the formula to get the inverse function, we have

$\begin{gathered} y=\frac{k}{x} \\ y=\frac{80}{x} \end{gathered}$

Hence the answer is option C

7 0

1 year ago

For each value of u determine it is a solution to 36=47-u u=9 u=11 u =8 u=38

OlgaM077 [116]

Answer:

u=11

Step-by-step explanation:

1. 36=47-9

36≠38

2. 36=47-11

36=36

3. 36=47-8

36≠39

4. 36=47-38

36≠9

3 0

2 years ago

Read 2 more answers

What is vertex of x^2+5x-3

Art [367]

$\text{The vertex of}\ ax^2+bx+c:\\\\(h,\ k),\ \text{where}\ h=\dfrac{-b}{2a};\ k=f(h)=\dfrac{-(-b^2-4ac)}{4a}$

$\text{We have:}\\f(x)=x^2+5x-3\\\\a=1,\ b=5,\ c=-3\\\\h=\dfrac{-5}{2\cdot1}=\dfrac{-5}{2}=-2.5\\\\k=f(-2.5)=(-2.5)^2+5(-2.5)-3=6.25-12.5-3=-9.25$

$\text{Answer: the vertex is in}\ (-2.5;\ -9.25)$

6 0

3 years ago

Write equations for the vertical and horizontal lines passing through the point (7,4)

Softa [21]

X=7 and y=4 are the correct equations

8 0

3 years ago

8+(3+4) rewrite using the associative property

Goshia [24]

The Associative Property allows you to "regroup" addition and multiplication problems. You can group this problem in two other ways,
(8 + 4) + 3 and (8 + 3) + 4.

8 0

3 years ago

Read 2 more answers