The sum of three consecutive even numbers is 138. Find the numbers.

Answers

Answer 1
Even numbers are numbers that are divisible by two. Let’s suppose we pick an even number and call it “n”. We don’t know what the number itself is, but we know that it’s even.

The next consecutive even number is the very next even number in the sequence; this can be determined by adding two to the first even number. That means that the next consecutive even number after “n” is “n+2”. The same thing holds for the following even number, except this time it’s “n+2+2” or “n+4”.

We are told that the sum of these three consecutive even numbers is 138. If we write this in the form of an equation, we have:

138 = n + (n+2) + (n+4)

Now, simplify and solve for n:

138 = 3n + 6; 132 = 3n; n = 44.

The first even number is 44, and the two following are 46 (44 + 2) and 48 (44 + 4).

Hope this helps!

Related Questions

Which of the following expresses the possible number of positive real
solutions for the polynomial equation shown below?
5x3 + x2 + 7x – 28 = 0
A. One
B. Two or zero
C. Two
D. Three or one

Answers

Answer:

A. One

Step-by-step explanation:

Look at the last term, - 28.

It means, the product of roots is a positive number (28).

The polynomial is a degree three so it has 3 possible roots.

Positive product can be obtained if all 3 numbers are positive or 2 negative and 1 positive.

Therefore number of positive roots is one or three.

Further, double check using the graphical solution (see attached), it shows one root only. It means the other roots are complex.

Correct option is A

Which of the following statements is NOT true?


ILL GIVE BRAINLIEST

Answers

Answer:

The answer to that is the ratios of the rise to the run for the triangles are equivalent

Please I’ll give Brainly

Answers

Answer:

Positive

Step-by-step explanation:

It is going up from left to right

Hope this helps

Answer:

Positive.

Step-by-step explanation:

As you go along the x axis and the values of x increase, the values of y also increase. For example, at x = 2 the value of y is 1, and at x = 8 the value of y is 4. This means that the values of y are always increasing as you go up the x axis, so the slope is positive.

You can also tell this from the shape - the line, if read from left to right, is going up, so is positive.

solve pls brainliest

Answers

Answer:

Mixed Number: 5 [tex]\frac{7}{10}[/tex]

Improper Fraction:[tex]\frac{57}{10}[/tex]

Step-by-step explanation:

A mixed number is when you express the decimal as a fraction, 0.7 is the same as [tex]\frac{7}{10}[/tex], so 5[tex]\frac{7}{10}[/tex] is your answer.

An improper fraction is a fraction where the numerator is bigger than the denominator, to do this you multipy the whole number 5, which can be written as [tex]\frac{5}{1}[/tex], by [tex]\frac{10}{10}[/tex].

[tex]\frac{5}{1}[/tex]·[tex]\frac{10}{10}[/tex]=[tex]\frac{50}{10}[/tex]

Then add 0.7, or [tex]\frac{7}{10}[/tex].

[tex]\frac{50}{10}[/tex]+[tex]\frac{7}{10}[/tex]=[tex]\frac{57}{10}[/tex]

Would you please mark my answer brainliest if it helped you? :D

PLEASE HELP IF YOU CAN!!!

Answers

Lol i forgot how to do this. Sorrryyy.

Principal Evans has 24 baby chicks.She shared the chicks among 5 classrooms.Each class gets at least 4 chicks.There can be no more than 3 chicks in each cage.

Answers

Can you share a picture so I can have a better understanding

what is h(6)?

PLS HELP I FAILED THIS TEST TWICE

Answers

Answer:

the answer should be b (14)

Answer: hydrogen 6

Step-by-step explanation:

A bag contains 7 milk and 11 dark chocolates.
A sweet is selected at random.
What is the probability of choosing:

Answers

Answer and explanation:

Milk Chocolate would be 7/18

Dark Chocolate will be 11/18

Milk Chocolate is unlikely to be chosen

Dark Chocolate is likely to be chosen

Milk chocolate 7/18
Dark chocolate 11/18

What is the relationship between

Answers

Answer:

option A

Step-by-step explanation:

the together form a complementary angles.

hope this helps you.

✌️✌️✌️

The sum of the measure of angle ∠AXY and angle ∠YXB is the measure of ∠AXB.

The relationship between ∠AXY and ∠YXB is that they are;

Complementary angles

Reasons:

From the diagram in the question, we have;

∠BXC = 90° Given

∠BXC and ∠BXA are linear pair angles

Therefore;

∠BXC and ∠BXA are supplementary angles, which gives;

∠BXC + ∠BXA = 180° definition of supplementary angles

Therefore;

∠BXA = 180° - ∠BXC

∠BXA = 180° - 90° = 90°

∠BXA = 90°

∠AXY + ∠YXB = ∠BXA by angle addition property

Which gives;

∠AXY + ∠YXB = 90° by substitution property

Therefore ∠AXY and ∠YXB are;

Complementary angles,  by definition of complementary angles.

Learn more about complementary angles here:

https://brainly.com/question/3070324

please put the right answer thank you

Answers

Answer:

C. -49

Step-by-step explanation:

= =

Remember that the - in front of the 7 is independent from it

Answer:

-49

Step-by-step explanation:

- (7^-3)(7^5) = - (7^-3+5) = - (7^2) = -49

look at the example. how would the quotient change if the total number of seats was 3,200 instead of 320? explain

Answers

If the total number of seats is 3200 instead of 320, then the quotient will change by a product of 10

The dividends are given as: 3200 and 320

By comparing 3200 and 320, we have:

3200 > 320 i.e. 3200 is greater than 3203200 = 320 * 10 i.e. 3200 is greater than 320 ten times

Quotient is simply the result gotten from dividing two quantities.

This means that:

If the total number of seats is 3200 instead of 320, then the quotient will change by a product of 10

Read more about quotients at:

https://brainly.com/question/16134410

What are corresponding angles

Answers

Answer:

the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.

help please and thank you!​

Answers

Answer: First one correct

Step-by-step explanation:

The second one is  

7.5 x 4 = 30 liters for 400km

and the 35 = 35%

and 35% of 7.5 is 2.625

so 30 + 2.625 = 32.625

please i need a helping hand


Jessie's mom gave her some money to go shopping. She has $100 to spend on new shirts at the store. The store Jessie chooses is having a sale; all shirts cost $10. The function T(s)=10s represents the total cost of the shirts, where s is the number of shirts purchased. What is the domain of T(s) in this context?

Question 9 options:

all non-negative integers that are multiples of 10


all whole numbers


all non-negative rational numbers


all non-negative integers less than or equal to 10

Answers

Answer:

T(s)'s domain is A

Hope This Helps!!!

Answer:

d

Step-by-step explanation:

the shirts are only 10 dollars so that means that the domain is all negative numbers that are either equal to or less than 10, not the multiples.

11 pie( root 64 -5 )
please simplify and show step by step method- I will give you brainliest


Answers

Answer:

Step-by-step explanation:

Trey needs to estimate 678 + 395. He adds 678 and 395 and gets 1073. He rounds that to the nearest hundred to get 1100. What was Trey’s error?
A
He didn’t make an error.
B
He should have used a calculator.
C
He rounded his answer instead of his addends.
D
He should have rounded to the nearest thousand.

Answers

Answer:

A).

Step-by-step explanation:

There are no decimals so it cannot be option c or d

Hope this helps

Answer:

probably answer a because you don't need a calculator

The equation y 35.4x represents the number of miles, y, that Kaj can drive her car for every x gallons of gas. Find the rate of change.

Answers

Answer:

Kaj’s car travels 35.4 miles per gallon of gas.

Step-by-step explanation:

The measure of an angle is 137°. What is the measure of its supplementary angle?

Answers

Answer:

43°

Step-by-step explanation:

that is the measure of its supplementary angle

Answer:

43 degrees

Step-by-step explanation:

180 - 137 = 43

hope this helped!

a. What iS the slope of the line that passes through (-2, 3) and (4, -5)?

Answers

Answer:

slope = - [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 3 ) and (x₂, y₂ ) = (4, - 5 )

m = [tex]\frac{-5-3}{4-(-2)}[/tex] = [tex]\frac{-8}{4+2}[/tex] = [tex]\frac{-8}{6}[/tex] = - [tex]\frac{4}{3}[/tex]

If angle 4 = 100, what is angle 6?

Answers

Answer: 100

Step-by-step explanation:

Because the two horizontal lines are parallel and diagonal splits them, 4 and 6 are congruent so they have the same angle.

4, 2, 8 and 6 all have the same angles.

1, 3, 5 and 7 all have the same angles as well.

100 because it is the same angle as 4 and is reflected

what is the Greatest Common Factor and the Least common Multiple os 3 and 8

Answers

3 is a prime number - the GCF is 1, and the least common multiple of 3 and 8 is 24.

Answer:

Greatest Common Factor is 1

Least Common Multiple is 24

Step-by-step explanation:

Greatest common factor is the biggest whole number that can be multiplied into the numbers. In this case 1x8=8 and 1x3=3.

Least common multiple is the smallest number each number can multiply into. In this case 3x8=24 and 8x3=24

mr wallace took 600 mg of medicine. this was 75/ of the full dose. what is the full dose?

Answers

Answer:

750 mg

Step-by-step explanation:

if that was 75% of the dose, or 3/4.

We do 600 * (1 - 3/4) = 600 * 1/4 = 150

We do 600 + 150 = 750 mg

am i correct i chose c but i might think is wrong (valid answer only!!)
Graph the linear inequality.

4x+5y≥−15

Answers

Answer:

You are absolutely correct!

Step-by-step explanation:

The correct answer is C!

Hope this helps you realize!

3. Find the slope of the line using BOTH of the growth triangles in the graph. Is the slope the same between points A to B as it is between B to C? What are the slopes of each triangle? Are the slopes the same? (Circle one) Yes No

Slope from A to B: _____________

Slope from B to C: _____________


(I will give top rating to who answers first

Answers

Answer:

Yes, they are the same.

Step-by-step explanation:

The slope of each triangle is 2/3. The slopes are the same.

The Slope from A to B: 2/3

The Slope from B to C: 4/6.

algebraic expression question 3x and (5x+8y) find the product​

Answers

Answer: X=3.5y
Step by step explication:
Simplifying
3x+8y+-5x+-1y=0

.
Emma made snack mix for a party. Each serving is 2/3 cup. If she wants to take
15 servings to the party, how many cups of snack mix should she make?

Answers

Answer:

10 cups

Step-by-step explanation:

please help!!! i will make you brainliest!!

Answers

Step-by-step explanation:

Here's the answer, goodluck

Can someone please help me.

Answers

you know that a 24 degree angle is 75.20 and that 12 is all the angles around it so take that and add 75.20 and the sides?

Mackenzie is deciding between two parking garages. Garage A charges an initial fee of $12 to park plus $5 per hour. Garage B charges an initial fee of $6 to park plus $6 per hour. Let A represent the amount Garage A would charge if Mackenzie parks fort hours, and let B represent the amount Garage B would charge if Mackenzie parks for t hours. Write an equation for each situation, in terms of t, and determine the hours parked, t, that would make the cost of each garage the same

Answers

Answer:

A=5t+12

B=6t+6

At 6 hours, both equations equal $42.

If x+y= -4 and xy=2, then find the value of x²+y²​

Answers

Answer:

x² + y² = 12

Step-by-step explanation:

x + y = -4

xy = 2

x² + y² = (x+y)² - 2xy = (-4)² - 2(2) = 16 - 4 = 12

X+y = -4
Xy=2

(x+y)^2= x^2+y^2+2xy
(-4)^2=x^2+y^2+2(2)
16 = x^2+y^2+4
x^2+y^2=16-4
Therefore x^2+y^2 = 12
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