MATHEMATICS MIDDLE SCHOOL

Simplify the complex fraction. Please show all work!
$Simplify the complex fraction. Please show all work! - 1$

Answers

Answer 1

Answer:

Answer:

3(u^2 +u-3)

-------------------

u(u-3)^2

Step-by-step explanation:

u 1

---- + -------

u-3 u

-------------------------

u-3

----------

Get a common denominator for the numerator

u *u 1(u-3)

---- + -------

(u-3)u u(u-3)

-------------------------

u-3

----------

u *u + (u-3)

-----------

(u-3)u

-------------------------

u-3

----------

Now use copy dot flip

u *u + (u-3) 3

----------------- * -------------

(u-3)u u-3

3(u^2 +u-3)

-------------------

u(u-3)^2

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What is the surface area of the prism?A. 82 yd.^2
B. 90 yd.^2
C. 96 yd.^2
D. 108 yd. ^2

Answers

Surface area of the prism= surface area of the base + surface area of the two triangles + surface area of the two rectangles.

Surface area of the base=(3 yd * 7 yd)=21 yd².
Surface area of the two triangles=2*(3 yd * 4 yd)/2=12 yd².
Surface area of the two rectangles=(7 yd * 5 yd) + (7 yd * 4yd)=35 yd² + 28 yd²=
=63 yd²

Surface of the prism=21 yd² + 12 yd² + 63 yd²=96 yd²

Remember:
surface area of a triangle=(base * height)/2
surface area of a rectangle=base * height.

Answer: C.96 yd²

Answer:

C.96 yd²

Step-by-step explanation:

In need to know the answer of 12z+18 in distributive property

Answers

Answer:

$6(2z + 3)$

Step-by-step explanation:

Step 1: Find the GCF

12 → 1, 2, 3, 4, 6, 12

18 → 1, 2, 3, 6, 9, 18

The GCF is 6

Step 2: Pull out the GCF

$12z + 18$

$6(2z + 3)$

Answer: $6(2z + 3)$

Answer: 6(2z + 3)

Step-by-step explanation:

So, with the distributive factor you want to find the greatest common factor. In this case, the greatest common factor is 6 because it can go into both 12 and 18. So now you need to simplify the numbers. You would put the 6 on the outside because it is the GFC.

Now, you need to divide both numbers by 6 and your equation should look like this:

6(2z +3)

Hope this helps! :)

Howto multiply 30 times 30 HELP

Answers

30=3 times 10 right so
30 times 30=3 times 10 times 3 times 10=3 times 3 times 10 times 10
we know that 3 timmes 3=9
and 10 times 10 is 100
so 30 times 30=9 times 100=900

Here is a way I was thought with zeroes, first do 3x3 which is 9 then since there are 2 zeroes you tack on 2 zeroes at the end to get 900. Hope this helped.

a cardboard box is open at one end and is shaped like a square prism missing one of its square bases. the volume of the prism is 810 cubic inches and its height is 10 inches. what is the length of each side of the base? how much cardboard is used for the box?

Answers

The correct answer for the question that is being presented above is this one: "9 inches; 441 in^2"

The volume of a square prism is
Volume = s^3 = lwh

Given that the volume is 810 in^3 and the height is 10 inches
810 = 10 * s^2
81 = s^2
s = 9 inches

So, the length of each side of the base is 9 inches
Then, the total area used in order to make a cardboard is that,
= 9^2 + 4 ( 10*9)
= 81 + 4(90)
= 81 + 360
= 441 square inches.

Kaynard's first step in solving this rational equation is to simplify it by multiplying both sides by a common denominator. Which is the simplest expression he can use to do this?

Answers

x^2 - 9 = (x + 3)(x -3)

3x - 9 = 3(x - 3)

and

Common denominator would be 6(x+3)(x - 3)

Answer: 6(x+3)(x - 3)

A triangle has side lengths of 10 inches, 24 inches, and 26 inches. is this a right triangle?

Answers

To check it we can use Pythagorean theorem.
$a^2+b^2=c^2$ , where c is the longest side.
Lets check it
Assume that a=10 and b= 24
$10^2+24^2=100+576=676$
Now lets compare with c^2=676
Its equal, so its right triangle.

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