MATHEMATICS MIDDLE SCHOOL

What is the greatest common factor (GCF) of 3,9=​

Answers

Answer 1
Answer:

Answer:

. The biggest common factor number is the GCF number.

So the greatest common factor 3 and 9 is 3.

Step-by-step explanation:
Answer 2
Answer: The (GCF) of 3 and 9 is 3

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PLEASE HELP. 18 pointsYou design a frame to surround a rectangular photo. The width of the frame is the same on every side as shown. write a polynomial in standard form that represents the combined area of the photo in the frame. find the combined area of the photo in the frame when the width of the frame is 4 inches.

Answers

Length of the rectangular photo = 22 inches

Width of the rectangular photo = 20 inches

Since, width of the frame outside the photo = x inches

Therefore, increase in length and width of the photo with frame = (x + x)

                                                                                                           = 2x inches

Length of the photo with frame = (22 + 2x) inches

Width of the photo with frame = (20 + 2x) inches

Combined Area of the photo in the frame = Length × Width

                                                                      = (22 + 2x)(20 + 2x)

                                                                      = 22(20 + 2x) + 2x(20 + 2x)

                                                                      = 440 + 44x + 40x + 4x²

                                                                      = 4x² + 84x + 440

Therefore, polynomial representing the combined area of the photo in the frame will be (4x² + 84x + 440) square inches.

If width of the frame = 4 inches

Combined area of the photo = 4(4)² + 84(4) + 440

                                                 = 840 square inches

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Answer:

A is 4x^2+84x+440 and B=840 square inches

Step-by-step explanation:

A is 4x^2+84x+440 and B=840 square inches

The task for a is to write a polynomial in standard form that represents the combined area of the photo and the frame. First, lets start with the bottom of the picture and frame.  On the bottom, you have 2x+ 22 inches.  Then the side of the picture and frame is 2x+20 inches. Writing in polynomial form, it would be  (2x+22)(2x+20). You would get 4x^2+84x+440 since you are using the FOIL method. Now for part b, we know that the width of the frame(or x) is 4 inches. Now we plug that into the equation.  84x is 84x4. 84x4=336   x^2 is 16.   There are four of those as you can see in the equation so 16x4=64    

336+64=400 inches    Frame= 400 inches

400 inches plus the picture(440 inches) =  840 square inches.

if a shelf can support 3 3/4 pounds and a book weighs 3/8 of pound , how many books can the shelf hold?

Answers

3/8=.375

3 3/4=3.75

3.75 / 0.375 = 10

The shelf can support 10 books

An angle turns through 60 one- degree angles.What is the measure of the angle?

Answers

if it's 60 degrees it's an acute angle 

#1 What is the value of the expression 7–3? Answers: A. –21B. - 1/343 C.1/343 D. 343 

#2What is the value of the expression 1/5^-5? Answers: A. 1/3125 B.1/25 C.25 D. 3125

 #3What is the value of the expression 2/4^-3?Answers: A. 1/32 B. 1/6 C.128 D.256  

#4  What value of k solves the equation? K^-2=1/64 Answers: A.1/8 B. 8 C. 32 D. 128

 #5 What value of n solves the equation? 4^N= 1/64   Answers: A. –3   B. 3   C. 16   D. 256

Answers

First question

The given expression is

7^(-3)

Which can also be written as

(1)/(7^3)= (1)/(343)

Therefore the correct option is C.

2.

The given expression is

(1)/(5^(-5))

Which can also be written as

5^5 = 3125

So the correct option is D

3.

The given expression is

(2)/(4^(-3))

Which can also be written as

2*4^3 = 2* 64=128

And the correct option is C

4.

The given equation is

k^(-2) = (1)/(64) \n k^2 = 64 \n k^2 = 8^2 \n k=8

So the correct option is B

5.

The given equation is

4^N = (1)/(64) \n 4^N = 4^(-3) \n N =-3

And the correct option is A .
\#1\ \ \ 7^(-3)= (1)/(7^3) = (1)/(343)\ \ \ \Rightarrow\ \ \ Ans.\ C\n \n \#2\ \ \ (1)/(5^(-5))=5^5=3125\ \ \ \Rightarrow\ \ \ \ Ans.\ D\n \n \#3\ \ \ (2)/(4^(-3))=2\cdot4^(3)=2\cdot 64=128\ \ \ \Rightarrow\ \ \ Ans.\ C\n \n\#4\ \ \ K^(-2)= (1)/(64) \ \ \Rightarrow\ \ \ (1)/(K^2) = (1)/(64)\n\n .\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ K^2=64 \ \ \Rightarrow\ \ K=8\ \ \Rightarrow\ \ Ans.\ B\n \n

\#5\ \ \ 4^N= (1)/(64)\ \ \Rightarrow\ \ \ 4^N=4^(-3)\ \ \ \Rightarrow\ \ \ N=-3\ \ \ \Rightarrow\ \ \ Ans.\ A

Is 1/1 a positive fraction?

Answers

yes it is positive because there is no negative sign 
Yes 1/1 is a positive fraction

What type of property is this? (P×1)×6

Answers

indentity property, anything times 1= the same number so the answer is (p) times 6
then associative property of mult
note:a(b)=a times b and =ab

a(bc)=(ab)c
so (p)6=(p6)=6p
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