MATHEMATICS MIDDLE SCHOOL

Three different ways to put 6(3x + 8) + 32 + 12x

Answers

Answer 1
Answer:

Answer:

Writing 6(3x + 8) + 32 + 12x in 3 different ways:

  • w₁ = 18x + 48 + 32 + 12x      

∵ 6(3x + 8) = 18x +48 as distribute law suggests that  a(b + c) = ab + ac

  • w₂ = 18x + 80 + 12x              ∵ 48 + 32 = 80
  • w₂ = 30x + 80                        ∵ 18x + 12x = 30x

Step-by-step explanation:

As the expression is 6(3x + 8) + 32 + 12x, and we have to write it in three different ways. Using the properties of operations we can write it in three different ways,

Let way one be denoted as w₁

Let way two be denoted as w₂

Let way three be denoted as w₃

So, lets write 6(3x + 8) + 32 + 12x in 3 different ways:

  • w₁ = 18x + 48 + 32 + 12x      

∵ 6(3x + 8) = 18x +48 as distribute law suggests that  a(b + c) = ab + ac

  • w₂ = 18x + 80 + 12x              ∵ 48 + 32 = 80
  • w₂ = 30x + 80                        ∵ 18x + 12x = 30x

Keywords: operation properties, distributive law

Learn more about operation properties from brainly.com/question/13754344

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Factor each expression 11x+55

Answers

11x+55
= 11x + 11 x 5
= 11(x+5)
11x + 55 = 11(x+5)

Your final answer is 11(x+5).

I desperately need help with this question????? I got 2 different answers and don't know which one is right. So please help me here is the question Students from three classes at Hudson valley elementary school are planning a boat trip. On the trip there will be 20 students in each class along with 11 total teachers and 13 total parents. Each boat seats 10 people. How many boats will they need to rent? Explain how you solved the problem

Answers

each class has 20 students

3 classes // 20 x3= 60

60 students + 11 teachers+13 parents = 84 people total

as you cant put half people in boats you round up to 90

meaning you would need 9 boats to have enough space for all of them xx

hope this helped x
They will need to rent 5 boats. 20+11+13=44 and each boat seats 10 people so 44÷10= 4 remainder:4  and you cant keave 4 people out they need another boat.

How do you solve
5x=25

Answers

You divide 5 from both sides and the equation becomes x=5
5 divided by 25 = 5 so 5 x 5=25

describe methods you can use to show a proportional relationship between two variables, x and y. for each method, explain how you can find the unit rate and the slope.

Answers

If the ratio of x/y or x/y is always the same constant, then a and y are directly proportional and the constant is called the constant of proportionality. 

If the product of xy is always the same constant, then a and y are inversely proportional and the constant is called the constant of proportionality. 

unit rates --- are like any rate found by dividing --- like speed --- miles per hour unit means 1 and this is miles traveled in one hour (at constant speed) --- so you just divide --- traveling 100 miles in 2 hours = 50 miles in 1 hour --- 50 miles per hour --- miles/hour <<< that is a unit rate 

slope is a rate of change --- on an x-y coordinate axis graph the slope is the rate of change of y compared to a change in x --- this is not necessarily a unit rate ... slope of 2/3 means a change of 2 for y will create a change of 3 for x (not a change of 1, so it is not a unit rate)

Answer:

Table of Values: The ratio of (Y) to (X) gives the unit rate and slope.

Equation: If the equation can be written as y=mx, then m is the unit rate and the slope.

Graph: When the line passes through the origin, the slope of the graph gives the unit rate and the slope.

Step-by-step explanation:

you can just copy everything here, its in the teacher's book

URGENT PLEASE ANSWER (NTH TERM), 15 POINTS + BRAINLIEST !! (fibonacci sequence , algebra, simple) *show working out please*

Answers

a) 1 1 2 3 5 8 13 21 34

So, nineth term is 34

b) a+2b+2a+3b=3a+5b

c) a= 3 b= 4

Work is on attachment.

Hope this helped!

Sara put 7 boxes in her closet. Each box is for holding a different type of seashell. So far, there are 0 shells in each box. How many shells does Sara have? Tell what math you used to find the answer.

Answers

Given that Sara put 7 boxes in her closet.

So number of boxes = 7

Then it says that each box is for holding a different type of seashell. So far, there are 0 shells in each box.

So the number of seashell in 1 box = 0


We need to find about how many shells does Sara have.

To find that we will just multiply (number of boxes) by (number of seashell in 1 box). Which is given by 7 times 0.


we know that product of a number and 0 is always 0.

Hence final answer is 0 seashell.
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Please show you work Thankyou :)