Please please please help me on this i'll give 14 points to whoever answers

The sum of three consecutive even numbers is 114. what is the smallest of the three numbers?

saul85 [17]

Answer:

36

Step-by-step explanation:

Let's let n be any number.

If we multiply n by 2, we get 2n. Since anything multiplied by 2 is even, 2n <em>must</em> be even. Therefore, let 2n be our first number.

So, the consecutive even number will be (2n+2) followed by (2n+4).

We know that their sum must be 114. Therefore, we can write the following equation:

$(2n)+(2n+2)+(2n+4)=114$

Solve for n. Combine like terms on the left:

$6n+6=114$

Subtract 6 from both sides:

$6n=108$

Finally, divide both sides by 6. Therefore, the value of n is:

$n=108/6=18$

Therefore, our first even number is 2n or 2(18) which equates to 36.

And the consecutive even numbers will be 38 and 40.

So, the smallest of them, the first term, is 36.

4 0

3 years ago

Read 2 more answers

2(x+2) - 3(x-3)=x+7

babunello [35]

Step-by-step explanation:

Let's solve your equation step-by-step.

2(x+2)−3(x−3)=x+7

Step 1: Simplify both sides of the equation.

2(x+2)−3(x−3)=x+7

(2)(x)+(2)(2)+(−3)(x)+(−3)(−3)=x+7(Distribute)

2x+4+−3x+9=x+7

(2x+−3x)+(4+9)=x+7(Combine Like Terms)

−x+13=x+7

Step 2: Subtract x from both sides.

−x+13−x=x+7−x

−2x+13=7

Step 3: Subtract 13 from both sides.

−2x+13−13=7−13

−2x=−6

Step 4: Divide both sides by -2.

−2x

−2

=

−6

−2

x=3

Answer:

x=3

8 0

3 years ago

What is the relationship between APB and minor arc AB?

Dmitry [639]

Answer:

Step-by-step explanation:

If APB is measured in radians, then the arc length AB = APB(r) where r is the radius of the circle.

4 0

3 years ago

The triangles are similar by:

igomit [66]

The triangles are similar by the SSS (side-side-side) similarity theorem because the sides of the two triangles are in proportion (5/15 = 3/9 = 4/12)

Hope this helps =)

5 0

3 years ago

Read 2 more answers

12 people buy their purchases for a 10-day camp. They agree to share the materials equally. If three more people join the group

Leviafan [203]

Okay so there is enough material for 12 people for 10 days but there is 15 of them we have to see how long they can last with that material i am going to need more info to complete this but let me do you an example for some help lets say a whole 10 day package is 10 crackers so if there is 12 packages then that means there is 120 crackers if there were 12 people every one would get 10 but there is 15 so we need to divide 120 and 15 which comes out to 8 so that means every body gets eight crackers whick also means they only last eight days but sense the question is not complete i can not help you much i nee the amount that is in the packages that they purchased

7 0

3 years ago