All categories

3 years ago

The arithmetic mean of 10 consecutive even integers is 3. What is the least of these 10 even integers?

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

6 0

Answer:

-6

Step-by-step explanation:

2n can be the smallest integer, and 2n + 18 will be the largest integer.

The sum of this, divided by two, will result in the average/mean.

(2n + 2n + 18)/2 = 3

Multiply each side by 2:

(2n + 2n + 18)/2 ⋅ 2 = 3 ⋅ 2

2n + 2n + 18 = 6

Combine the like terms:

4n + 18 = 6

Subtract 18 from both sides:

4n + 18 - 18 = 6 - 18

4n = -12

Divide each side by 4:

4n/4 = -12/4

n = -3

Since we decided to go by 2n:

2n = 2(-3) = -6

You might be interested in

(20m + 3) - (7 m - 5) Find the difference

DedPeter [7]

20m-7m= 13m
3--5=8
13m+8

8 0

2 years ago

Read 2 more answers

Please help me!!!!!!!!!!!!

Aloiza [94]

Answer:

16.03

Step-by-step explanation:

3 0

2 years ago

Wesley office had already recycled 37 kilograms this year before starting a new recycling plan, and the new plan will have the o

borishaifa [10]

Answer:

37 kilograms alr recycled this year

Plan:

1 kilogram each week

After 13 weeks he would of recycled 13 kilograms

37+13=50

In total his office wesley's have recycled 50 kilograms of paper

Hope this helps

8 0

3 years ago

What is the equation of the line x–3y=18in slope-intercept form?

Alekssandra [29.7K]

Answer:

$y=\frac{1}{3} x-6$

Step-by-step explanation:

Write down the slope-intercept form:

$y=mx+b$

Where m is the slope and b is the y-intercept.

To turn the equation into slope-intercept form, isolate y on the left-hand side:

$x-3y=18\\-3y=18-x\\y=-6+\frac{x}{3} \\$

Rearrange the equation a bit:

$y=\frac{1}{3} x-6$

5 0

2 years ago

What is the value of 7P3 ? A. 21 B. 35 C. 210 D. 840 i think a but idk

Aleksandr [31]

The answer is C.
Here's why, nPr = n!/(n-r)!. Plug in 7 for n and 3 for r. And you get 7!/(7-3)!.
Thus, 7!/4! = (7*6*5*4*3*2*1)/(4*3*2*1), which simplifies to 7*6*5 = 210

6 0

3 years ago

Read 2 more answers