MATHEMATICS MIDDLE SCHOOL

How do I work this out and explain how

Answers

Answer 1

Answer:

80* 4/5

Cross out 80 and 5

You can divide by 5 for both of the numbers

80/5=16

5/5=1

16*4= 64

Answer is 64

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I have a big math test tomorrow and a question on the review packet my teacher made for my class just doesn't make sense to me. Here it is... For a 'Black Friday' sale, everything in a store is 10% off the original price. If Ana purchased an item that was marked with a sale price of $40, what was the original price? My teacher said the answer was $44.44 but I don't understand how she got that, can someone help please?

What is the missing reason in step 5A. Linear pair postulate

B. Givin

C. Definition of complementary angles

D. Congruent complements theorem

Answers

Answer:

(A) Linear pair postulate

Step-by-step explanation:

Given: AB intersects DE at point C.

To prove: ∠DCB≅∠ECA

Proof:

Statements Reasons

1. AB intersects DE at point C. given

2. ∠DCB and ∠BCE are a linear pair Definition of linear pair

3. ∠DCB is supplementary to ∠BCE Linear pair postulate

4. ∠BCE and ∠ECA are a linear pair Definition of linear pair

5. ∠BCE is supplementary to ∠ECA Linear pair postulate

Thus, from statement 2 and 5, we have

∠DCB+∠BCE=180° and ∠BCE+∠ECA=180°

⇒∠DCB+∠BCE=∠BCE+∠ECA

⇒∠DCB≅∠ECA

Hence proved

thus, option A is correct.

Algebra 7/8 x c for c=8

Answers

7/8*8 is 7. To get this answer you can convert 7/8 into a decimal, then multiply

Does the following situation describe opposite quantities combining to make zero? Explain.Tanya makes 2 cups of cleaning solution and puts it into a spray bottle. She uses all the solution to clean her house. *Yes, because the amount of cleaning solution in the bottle after Tanya uses the solution is not the same as before Tanya makes the solution.
Yes, because the amount of cleaning solution in the bottle after Tanya uses the solution is the same as before Tanya makes the solution.
No, because the amount of cleaning solution in the bottle after Tanya uses the solution is more than before Tanya makes the solution.
No, because the amount of cleaning solution in the bottle after Tanya uses the solution is less than before Tanya makes the solution.

Answers

Answer:

Yes, because the amount of cleaning solution in the bottle after Tanya uses the solution is the same as before Tanya makes the solution.

Step-by-step explanation:

Tanya makes 2 cups then uses 2 cups.

2-2=0

Algebra tiles to prove that 4 + 8x and 4(2x+1)

Answers

not sure what algebra tiles are

not sure how to absolutely prove
I can prove it works at least most of the time by subsitute ing number for x

remember that 0,1,2 have special properties and are not very good for subsituting so
try 4
4+8(4)=4(2(4)+1)
true or false?
4+8(4)=4(2(4)+1)
multipily
4+32=4(8+1)
36=4(9)
36=36
this is treu at least for the number 4
another way is to believe in the distributive property where
a(b+c)=ab+ac so then
4(2x+1)=4(2x)+4(1)=8x+4=4+8x

4 + 8x

Now, see if the simplified form of 4(2x + 1) is equal to that.

4*2x = 8x
4*1 = 4

4 + 8x = 4 + 8x Correct

4. Complete. a. Factor: 2x2 – 5x – 3.

b. Subtract: 3x-2/2x^2-5x-3 - 1/x-3

can anyone help me on these problems and explain how you did it please

Thank you
PLEASE HELP

Answers

a. $2 x^(2) -5x-3=2 x^(2) -6x+x-3$ (I'll explain how I split it in a bit)
$=2x(x-3)+1(x-3)$   Look for common factors between the 1st two and then the second two while trying to make sure the variables in the brackets are the same.
Now you only have to write the value in the bracket once and then join the outer factors in their own bracket so your final answer will be $(2 x^(2) +1)(x-3)$

For the first thing I did, I multiplied the first part of the equation by the last part= 2 $x^(2)$ x -3=-6 $x^(2)$ . I then proceeded to find two numbers that can be multiplied to give the result and when added will give the middle part (-5x).
Factors of -6 $x^(2)$ are: -1x and 6x, -2x and 3x, -3x and 2x, -6x and 1x. The only ones that add up -5x are -x and 6x so that was why I used them.

b. 3x-2/2x^2-5x-3 - 1/x-3
$(3x-2)/(2 x^(2) -5x-3)- (1)/(x-3) = (3x-2)/((2x+1)(x-3)) - (1)/(x-3)$
$= (1(3x-2) +1(2x+1))/((2x+1)(x-3))$
   $= (3x+2x-2+1)/((2x+1)(x-3) )$
  = $(x-1)/(2 x^(2) -5x-3)$

2 1/2 X 3 2/3 in simplest form
help fast i will give 5 stars