All categories

3 years ago

The sum of three consecutive odd numbers is 39. What is the smallest of these numbers?

Mathematics

1 answer:

8_murik_8 [283]3 years ago

5 0

Step-by-step explanation:

As, they all are consecutive and odd

The equation = x + (x + 2) + (x + 4) = 39

X represent the first number and also the smallest one

X + 2 is the 2nd number, it's consecutive and odd so we need to add 2

X + 4 is the 3rd number, it's consecutive and odd to (x+2) so we will just add 2 more = x + 2 +2 = x +4

So x + (x + 2) + (x + 4) = 39

3x + 6 = 39

3x = 39 - 6

3x = 33

x = 11

So smallest number = 11

And x + 2 = 11+2 = 13 (second number)

And x + 4 = 11 + 4 = 15 ( third number )

So only because u asked for the smallest

So it's 11

You might be interested in

The number of a two dollar bill i need to pay for a purchase is 9 more than the number of 5 dollar bills i need to pay for the s

melisa1 [442]

Answer:

$60

Step-by-step explanation:

Let's say we need t $2 bills and v $5 bills.

We need 9 more $2 bills than $5 bills, so:

t = 9 + v

We also know that the amount of money in t $2 bills is 2 * t = 2t. The amount of money in v + 9 $5 bills is 5 * (v + 9) = 5v + 45. These amounts are equal:

5v + 45 = 2t

Plug v + 9 in for t in 5v = 2t + 18:

5v = 2t + 18

5v = 2 * (9 + v) + 18

5v = 18 + 2v + 18

3v = 36

v = 12

We have 12 $5 bills, so that total cost is 12 * 5 = $60.

<em>~ an aesthetics lover</em>

5 0

3 years ago

One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times sm

sergey [27]

One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle. Then the lines are parallel

<h3><u>Solution:</u></h3>

Given that, One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle.

We have to prove that the lines are parallel.

If they are parallel, sum of the described angles should be equal to 180 as they are same side exterior angles.

Now, the 1st angle will be 1/6 of right angle is given as:

$\begin{array}{l}{\rightarrow 1^{\text {st }} \text { angle }=\frac{1}{6} \times 90} \\\\ {\rightarrow 1^{\text {st }} \text { angle }=15 \text { degrees }}\end{array}$

And now, 15 degrees is 11 times smaller than the other

Then other angle = 11 times of 15 degrees

$\text {Other angle }=11 \times 15=165 \text { degrees }$

Now, sum of angles = 15 + 165 = 180 degrees.

As we expected their sum is 180 degrees. So the lines are parallel.

Hence, the given lines are parallel

5 0

4 years ago

Which expression results on a rational number?

Viefleur [7K]

Where are the answers

8 0

3 years ago

This week, Ivania ran a total of 20 km, which is 6.5 km farther than she ran last week. If w represents the number of kilometers

NARA [144]

Answer:

Step-by-step explanation:

6.5 + w = 20

13.5 km

6 0

3 years ago

A man buys a backpack from a sporting goods

Lelechka [254]

Answer:

He would pay a total of $21.50

Step-by-step explanation:

A trick that I learned is to take the zeros and decimals off. Then multiply. Ex) 75 × 2 =150. Take away the zero (15) and ad the decimal (1.5)

I'm not the best at explaining but I hope this helps

8 0

3 years ago