What is the simplest form of 9/24, 14/24, 10/15, 10/12,18/27 and 10/15?

Answers

Answer 1

Answer: S.F. of 9/24 = 3/8
S.F. of 14/24 = 7/12
S.F. of 10/15 = 2/3
S.F. of 10/12 = 5/6
S.F. of 18/27 = 2/3
S.F. of 10/15 = 2/3

Hope this helps!

Answer 2

Answer: 1. 3/8
2. 7/12
3. 2/3
4. 5/6
5. 2/3
6. 2/3

I guess the third and last one is repeated. But, I wrote the answer anyways.
Hope this helps! :)

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Solve this problem.Five times a number z is greater than or equal to 60. Find z. Select the correct answer. a)z greater than or equal to 5 b)z greater than or equal to 15 c)z greater than or equal to 14 d)z greater than or equal to 12
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Calculate y when x = 5

Y=2x+3

Answers

Answer: y=13

Step-by-step explanation:

$y=2(5)+3\nmultiply\ny=10+3\nadd\n10+3=13\ny=13$

y=13

Step-by-step explanation:

given that,

x=5

to find,

y=2x+3, when x=5

substitute 5 in the place of "x" we get,

y=2×5+3

according to BODMAS rule( bracket of division multiplication addition and subtraction) first we have to multiply 5 with 2 and then add the product with 3 we get,

y=10+3

y=13

Insert three rational numbers between -2/3 and 3/4

Answers

Answer:

1/4, 1/2 and 1/3

Step-by-step explanation:

Rational numbers are numbers that can be expressed in the form a/b

So for ease of answering, we can just select values closer to the extremes given

so we can have 1/4, 1/2 and 1/3

These three numbers are all greater than the minimum extreme (-2/3) and less than the maximum extreme

Simplify for a lot of points
(1-sin^2x)(1-tan^2x)

Answers

1/sin^2x-1/tan^2x=
1/sin^2x-1/ (sin^2x/cos^2x)<<sin tan= sin/cos>>
= 1/sin^2x- cos^2x / sin^2x
= (1- cos^2x) / sin^2x <<combining into a single fraction>>
sin^2 x / sin^2x <<since 1- cos^2 x sin^2 x

=1
this simplifies to 1.

If triangle RST is congruant to triangle ABC, the measure of angle A equals x^2-8x, and the measure of angle C equals 4x-5, and the measure of angle R equals 5x+30 find the measure of angle C [ only an algebraic solution can receive full credit.]

Answers

In any statement like this one: $\triangle RST \cong \triangle ABC$ you can assume that the points match up in the order that you are given them.
This means that $\angle A \cong \angle R$ .
We know that $m\angle A = x^2-8x$ and $m\angle R=5x+30$ , and because they are congruent we can set the two equal to each other.

$x^2-8x=5x+30$
Let's get everything to one side.
$x^2-13x-30=0$
Let's solve by factoring, since it's easy to do with these whole numbers.
We're looking for two number thats add to -30 and multiply to -13...
These would be -15 and 2.
Since our leading coefficient (_x²) is 1, we can factor straight to (x-15)(x+2).
Here's what it would look like if you went through all the steps anyways, though.
$x^2-15x+2x-30=0$
$x(x-15)+2(x-15)=0$
$(x+2)(x-15)=0$
Any value which causes either factor to equal 0 is a solution.
(The second factor wouldn't matter b/c 0 times anything is still 0)
Therefore x = -2 or 15.
Only one of these is possible, however!
If you use x = -2, you will find that the angle measure 4x-5 is negative, which is impossible. In this case, x must be 15.

Let's find the measure of angle C.
$m\angle C=4x-5\ where\ x=15\nm\angle C=4(15)-5\nm\angle C=60-5\n\boxed{m\angle C = 55\°}$

   ΔRST ≡ ΔABC
      <R = <A
   (5x + 30)° = (x² - 8x)°
      5x + 30 = x² - 8x
-x² + 5x + 30 = x² - x² - 8x
-x² + 5x + 30 = -8x
+ 8x    + 8x
-x² + 13x + 30 = 0
x = -(13) ± √((13)² - 4(-1)(30))
   2(-1)
x = -13 ± √(169 + 120)
      -2
x = -13 ± √(289)
   -2
x = -13 ± 17
   -2
x = -13 + 17 U x = -13 - 17
   -2    -2
x = 4 U x = -30
     -2    -2
x = -2    x = 25

<C = 4x - 5    U <C = 4x - 5
<C = 4(-2) - 5 U <C = 4(25) - 5
<C = -8 - 5       U <C = 100 - 5
<C = -13°       U <C = 95°

or

      ΔRST ≡ ΔABC
      <A + <C = <R
   (x² - 8x)°+ (4x - 5)° = (5x + 30)°
       (x² - 8x) + (4x - 5) = (5x + 30)
   (x² - 8x + 4x - 5) = (5x + 30)
         x² - 4x - 5 = 5x + 30
      - 5x    - 5x
   x² - 9x - 5 = 30
   - 30 - 30
       x² - 9x - 35 = 0
x = -(-9) ± √((-9)² - 4(1)(-35))
       2(1)
x = 9 ± √(81 + 140)
      2
x = 9 ± √(221)
2
x = 9 ± 14.86
      2
x = 9 + 14.86 U x = 9 - 14.86
       2 2
x = 23.86 U x = -4.14
   2 2
x = 11.93 U x = -2.07

How do I factor
4x^3 - 6x^2 - 28x
show work please

Answers

4x^3 - 6x^2 - 28x

2x (x + 2) (2x - 7)

The formula for the area of a square is s2, where s is the side length of the square. What is therea of a square with a side length of 6 centimeters? Do not include units in your answer

Answers

Answer:

Step-by-step explanation:

Area of a square is s² , where 's' is the side length.

For a square of side length = 6 cm ,

The area = (6 cm)² = 36 cm²

* Why did your teacher say that you should not include units in your answer?

Anyway, the area without units is 36 .

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i cant find my answer. You should really give your people the answer they are looking fo instead of giving sujestions.