Solve the equation step by step. List each step, along with the property you used during that step. -5 x 1 X 11 X 4

Answers

Answer 1
Answer: You can do any problem first because they will all come out to be the same answer. The property that I am going to be using for all of them is commutative property of multiplication. -5*1=-5 is the first step you could do. -5*4=-20, it doesn't matter is you skip a number or not it will be okay. -20*11=-220. You can start with any one and the answer will still be -220.

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The difference of 7 and a number n​

Answers

Answer:

7 - n

Step-by-step explanation:

the answer would be 7-n

The perimeter of a basketball court is 114 meters and the length is 6 meters longer than twice the width. What are the length and the width?

Answers

ok first list everything you know (what they told us) about this basketball court because this will come in handy. 

perimeter (p)=114 (they told us that this is the perimeter)
p=2w+2L  (using what we know about perimeters we can infer that this is the formula for a perimeter. this is just another way of writing p= w+L+w+L)
L=6+2w ("L" is length. they say that the length is 6 MORE, hence the plus sign, than 2 TIMES the width)

now lets put all this together. we want to find the length and width. we already have an idea of what the length is so we can plug that into our "p" formula...

p= 2w+ 2(6+2w).. now do a little simplifying 
p= 6w+12 

we know what "p" is so we can also plug that in
114= 6w+12 ..now get the variable on one side and the numbers on the other 
114-12=6w
(102)/(6)=w
17=w

Great we just found what the width is BUT we aren't finished. we have to find the length. for this you just plug "w" back into your "p" formula. 

p= 2(17)+2L
remember that p=114
114= 34+2L
get "L" to one side
114-34=2L
(80)/(2)=L
40=L

make sure you check your answers. simply plug "w" and "L" into your "p" formula if it equals 114 you did it right !!

let width be x then
L = 6 + 2x (as per the question)
therefore perimeter = 2(L+B)
P=2(6+2x+x)
P=2(6+3x)
P=12+6x
acc. to question P=114 m
144 = 12 + 6x
6x=114-12
6x=102
x=(102)/(6)
x=17
therefore width = 17 meters
then , length = 6 + 2x
where x=17 m
L=6+2(17)
L=6+34
L=40
therefore length and breadth of the basketball court is 17 m and 40 m respectively...

The dimensions of a rectangle are dilated using a scale factor of 3. If the old area is 75 sq. Ft. What is the area of the new rectangle

Answers

Answer:

225 sq. Ft

Step-by-step explanation:

Key words in the question;

Dilated - This means increased pr expanded

Scale factor of 3 - This basically means multiplied by 3

Old square = 75 sq. Ft

This means;

New are = Old area * 3

New area = 75 * 3 = 225 sq. Ft

The sum of two numbers is 13. Two times the first number minus three times the second number is 1. If you let x stand for the first number and y for the second number, what are the two numbers?

Answers

x+y= 13 
2x-3y= 1
This can be found by using a system but I will try this method:
x=13-y
We replace it on the second one:
2(13-y) + y = 13
26-2y + y=13
-y= -13
y= 13

 

1. Given f(x) = 3x – 4 and g(x)=–2x+7 evaluate:
(fog)(5)

Answers

Answer:

(f o g)(5) = -13

General Formulas and Concepts:

Pre-Alg

  • Order of Operations: BPEMDAS

Algebra I

  • Composition of functions

Step-by-step explanation:

Step 1: Define

f(x) = 3x - 4

g(x) = -2x + 7

(f o g)(5) is f(g(5))

Step 2: Find composite function

  1. Substitute:                     (f o g)(x) = 3(-2x + 7) - 4
  2. Distribute:                      (f o g)(x) = -6x + 21 - 4
  3. Combine like terms:     (f o g)(x) = -6x + 17

Step 3: Solve

  1. Substitute:                    (f o g)(5) = -6(5) + 17
  2. Multiply:                        (f o g)(5) = -30 + 17
  3. Add:                              (f o g)(5) = -13

Help plssssssssssssssss

Answers

Answer: The Table On The Top Is Not A Function And The One One The Bottom Is

Explanation:

The Two 4s In The Top Table Have Two Different Outputs Which Makes It Not A Function. All Of The Numbers In The Bottom Table Have Only One Output.