Classrooms on one side of the drama building are all numbered with consecutive even integers. If the first room, the room with the smallest classroom number, on this side of the building is numbered y, write an expression in y for the sum of the
first four classroom numbers in a row. Then simplify this expression
The sum of the first four classroom numbers in a row is

Answers

Answer 1

Consecutive odd numbers are two apart (5, 7, 9, 11...). So given an odd integer, we can add 2 to get the next odd integer.

If the first odd integer is y, then the first 4 odd integers are

y+2

y+4

y+6

These add up to 4y+12

Answer 2

The sum of the first four classroom numbers in a row is 4y+12.

It is required to find the sum of the first four classroom numbers in a row.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Since the smallest classroom number on the side of the building is numbered y and each consecutive even integers is separated by a difference of 2.

∴

y is the first class room.

y + 2 is the second class room.

y + 4 is the third class room.

y + 6 is the third class room.

The sum of the five consecutive class rooms are given as:

y + (y + 2) + (y+ 4) + (y + 6)

collecting alike terms we get

= y + y+ y+ y + 2 + 4 + 6

= 4y + 12

Therefore, the sum of the first four classroom numbers in a row is 4y+12.

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Related Questions

How does a whale fall community affect ocean sediment? The decomposition of the whale enriches the sediment. The remains of the whale pollute the sediment. The sediment is transformed into food for mussels and crabs. The bacteria that are attracted break down the sediment nearby.

Answers

Answer:

The decomposition of the whale enriches the sediment.

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

I just took the test and it was correct

hopefully this helps you :)

pls mark brainlest ;)

?show that 33105 is divisible by 15?

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Answer:

um 2207 times 15 is 33105

Answers

Complete question is;

In February 2009, the Harris Poll asked a sample of Americans whether they thought churches and religious groups have too much or too little power and influence on Washington†. The opinions of Americans were 34% too much, 57% too little, 4% just right, and 5% unsure. (a) What type of distribution is this? cumulative frequency distribution simple frequency distribution cumulative percent distribution relative percent distribution (b) Knowing that 1,010 adults were polled nationwide, how many Americans polled felt that churches and religious groups have too little power and influence on Washington? (Round your answer to the nearest whole number.) Americans

Answer:

A) Relative percent distribution

B) 576 Americans

Step-by-step explanation:

A) We are given that the opinions of Americans were 34% too much, 57% too little, 4% just right, and 5% unsure.

This means that number of people in each of this category was divided by total number of people in the poll and multiplied by 100%.

Thus,it is relative percent distribution.

B) Since 1,010 adults were polled nationwide, therefore the number of Americans polled felt that churches and religious groups have too little power and influence on Washington = 57/100 × 1010 ≈ 576 people

Jane has bought 10 pounds of dog food. She feeds her dog 2/5 pounds for each meal. For how many meals will the food last? Write your answer in simplest form.

Answers

Answer:

25 meals

Step-by-step explanation:

All you have to do is divide 10 ÷ 2/5 and you'll get 25 :)

PLEASE HELP ME THIS IS DUE IN 90 MINUTESSS

Answers

Answer:

4. it would take greater than 31.25 hrs for tims price to be better.

Step-by-step explanation:

What is the range????????

Answers

range is the y-values of a coordinates. the range for this is 5,4,1,0

fd - m = 8
Solve for d
Please help!

Answers

Answer:

[tex]d=\frac{8+m}{f}[/tex]

Step-by-step explanation:

[tex]fd-m=8[/tex]

Add m to both sides:

[tex]fd-m+m=8+m[/tex]

[tex]fd=8+m[/tex]

Divide both sides by f:

[tex]\frac{fd}{f}=\frac{8+m}{f}[/tex]

[tex]d=\frac{8+m}{f}[/tex]

Which inequality is true? Use the number line to help.

A number line going from negative 5 to positive 3 in increments of 1.

1.5 greater-than 2 and one-half
One-half greater-than 0.5
Negative 2.5 greater-than negative 1.5
Negative 3 and one-half greater-than negative 4.5

HELP ME

Answers

Answer:

Step-by-step explanation:

i did the assignment on E2020

Answer:

Step-by-step explanation:

Nina’s total trip to and from work is 14 miles. If she works 243 days this year, how many miles will she drive to and from work?

Answers

Answer:

3,402

Step-by-step explanation:

Step 1:

243 × 14

Answer:

3,402

Hope This Helps :)

Answer:

3402

Step-by-step explanation:

I’ll mark you brainliest for the first response! Explain answer in full detail.

Answers

Answer:

x = 25

Step-by-step explanation:

2x + 4 + x + 11 = 90, combine like terms

3x + 15 = 90, subtract 15 from both sides

3x = 75, divide by 3

x = 25, you have your answer!

x= 25 is the answerrrrr

Translate into Algebra.
Jim will be x years old in two years. At that time, his sister will be twice as old as he will be. How old is Jim's sister now?

Answers

Let s be Jim's Sister's age now

s = 2x

Find the exact value of sin(140°)cos(20°) – cos(140°)sin(20°)

Answers

Given :

An expression sin(140°)cos(20°) – cos(140°)sin(20°) .

To Find :

The value of given expression .

Solution :

We know ,

sin(A - B) = sin A cos B - cos A sin B

By comparing with above formula , we get :

A = 140° and B = 20° .

So , sin(140°)cos(20°) – cos(140°)sin(20°) = sin ( 140°- 20°) = sin 120° .

Now , [tex]sin 120^\circ{} = \dfrac{\sqrt{3}}{2}[/tex]

Therefore , the value of expression is [tex]\dfrac{\sqrt{3}}{2}[/tex] .

Hence , this is the required solution .

4d - p = m
Solve for d

Answers

Answer:

d=(m+p)/4

Step-by-step explanation:

The given equation solved for d as d=(m+p)/4.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 4d-p=m.

The given equation can be solved as

4d=m+p

Therefore, the given equation solved for d as d=(m+p)/4.

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Plz helpp me!!?:) I don’t understand

Answers

-24 - (-13) = w

Simplify the left side

-24 + 13 = w

Add together like terms

-11 = w

Solve: −6x+4≤−16−2x . Express your answer in interval notation. (Express your answer in interval notation. Use U to indicate a union of intervals, and "oo" to express ∞)

Answers

Answer:

[5, oo)

Step-by-step explanation:

Add 6x+16 to both sides:

20 ≤ 4x

5 ≤ x . . . . . . divide by 4

The solution interval is [5, oo).

Answer:

A is the answer

Step-by-step explanation:

Why is it imprecise to say that the equation 25 x 2 + 27 + 0 has no solution? Find all solutions of the equation.

Answers

Answer:

Answer: The answer is 1

x = 20

KM = 7x + 24 = 7*20 + 24 = 140 + 24

KM = 164

The distance between the paralled lines 3x + 4y +15 = 0 and 3x + 4y -10 = 0 is equal to: pls help ASAP

Answers

Answer:

5 units

Step-by-step explanation:

Please see attached pictures for the full solution.

(This distance is the perpendicular distance between the 2 parallel lines, which is the shortest distance between them.)

Answer:

D 21/5

Step-by-step explanation:

edge

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