All categories

4 years ago

The sum of three consecutive even numbers is 84. What is the smallest of the three numbers?

Mathematics

1 answer:

kari74 [83]4 years ago

6 0

Answer: 26

Step-by-step explanation: In this problem we have 3 consecutive even numbers whose sum is 84 and it asks us to find the smallest number.

Consecutive even numbers can be represented as x, x + 2, and x + 4.

Since the sum of these is 84, our equation reads

x + (x + 2) + (x + 4) = 84.

Simplifying on the left we get 3x + 6 = 84.

Subtract 6 from both sides and we have 3x = 78.

Divide both sides by 3 and x = 26.

So our smallest number is 26.

You might be interested in

Find the derivative of f(x) = negative 9 divided by x at x = -8.

marusya05 [52]

Answer:

$f'(-8)=\frac{9}{64}$

Step-by-step explanation:

Given the function

$f(x)=\frac{-9}{x}$

We can rewrite it as

$f(x)=-9x^{-1}$

Now we can apply the power rule

$f'(x)=9x^{-2}$

Now we can rewrite it

$f'(x)=\frac{9}{x^{2} }$

Now we can plug in x=-8

$f'(-8)=\frac{9}{(-8)^{2} }\\f'(-8)=\frac{9}{64}$

7 0

3 years ago

Maria says if I multiply the current temperature by 4 and then subtract 40 the results is the same as 3 times the current temper

astra-53 [7]

Answer:

No, Richard is incorrect, the current temperature is 40 degrees.

Step-by-step explanation:

4x-40=3x

4x-3x=40

x=40

4 0

3 years ago

System Of Equations Elimination Method

andre [41]

1. x = 3, y = 2
2. x = -99/68, y = -14/17
3. x = -4, y = 1
4. x = 1, y = 5
5. x = -1, y = 0
6. x = 2, y = -3
7. x = 14, y = 20

I attached the pictures with the work.

5 0

3 years ago

Complete the table of values for y= x^2-2x-3

Levart [38]

Answer:

x=3,y=0

x=-1,y=0

Step-by-step explanation:

We will have to factorise to get the value of x before solving for y

Let's solve

y=x^2-2x-3

To factorise x

x^2-3x+x-3

x(x-3)+1(x-3)

(x-3)+(x+1)

x-3=0

x=3

x+1=0

x=-1

Let's substitute the value of value to get the value for y

y=x^2-2x-3

When x is 3

y=3^2-2(3)-3

y=9-6-3

y=0

When x is-1

y=(-1)^2-2(-1)-3

y=1+2-3

y=0

Therefore when x is 3,y is 0

When x is -1,y is 0

3 0

4 years ago

Read 2 more answers

9. r = (-8) = 5

Oksana_A [137]

Answer:

r ÷(-8) = 5

i have answered the question u asked earlier

4 0

3 years ago