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3 years ago

Write each fraction in simplest form if the fraction is in simplest form write simplest form from 1-12

Mathematics

1 answer:

erica [24]3 years ago

8 0

15. would be 1/2 because if you simplify 16/32 to 8/16 (dividing by 2 each time), then to 4/8, then 2/4, and lastly 1/2

you really dont need to do all of that because 16/32 is already 1/2 (16 is half of
32)

16. the answer would be 7/12 because if you divide 21/36 both by 3 you get 7/12 and you cant go any more simpler.

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3+×/2=10 <br> Is ×/2=7<br> And does ×=14

adoni [48]

$3+\dfrac{x}{2}=10\qquad|\text{subtract 3 from both sides}\\\\\dfrac{x}{2}=7\qquad|\text{multiply both sides by 2}\\\\\boxed{x=14}$

7 0

3 years ago

which of the following are right triangles: a triangle with side lenghts 6 inches, 8 inches,10 inches, a triangle with side leng

amid [387]

9514 1404 393

Answer:

(6, 8, 10) right
(8, 15, 17) right
(5, 12, 13) right

Step-by-step explanation:

It can be helpful to memorize a few of the Pythagorean triples that show up in Algebra problems. Their multiples also form right triangles.

(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17), (9, 40, 41)

The triple (6, 8, 10) is the first one of these, multiplied by 2 inches.

The only triple that is a sequence of consecutive integers is (3, 4, 5), so you know immediately that (4, 5, 6) does not form a right triangle.

Of course, you can check any of them to see if the squares of the smaller two numbers total the square of the larger number:

4² +5² = 16 +25 = 41 ≠ 6² . . . . . (4, 5, 6) is not a right triangle

5 0

3 years ago

Select whether each system of equations has no solution, one solution, or infinitely many solutions.

Firdavs [7]

I’m not sure!!!!!!!!!!!!!!!!!!

8 0

3 years ago

Express the function graphed on the axes below as a piecewise function.

adoni [48]

Answer:

f(x) = {x-3 for x ≤ -1; -3x+14 for x > 5}

Step-by-step explanation:

To write the piecewise function, we can consider the pieces one at a time. For each, we need to define the domain, and the functional relation.

<h3>Left Piece</h3>

The domain is the horizontal extent. It is shown as -∞ to -1, with -1 included.

The relation has a slope (rise/run) of +1, and would intersect the y-axis at -3 if it were extended.

The first piece can be written ...

f(x) = x-3 for x ≤ -1

<h3>Right Piece</h3>

The domain is shown as 5 to ∞, with 5<em> not included</em>.

The relation is shown as having a slope (rise/run) of (-3)/(1) = -3. If extended, it would intersect the point (5, -1), so we can write the point-slope equation as ...

y -(-1) = -3(x -5)

y = -3x +15 -1 = -3x +14

The second piece can be written ...

f(x) = -3x +14 for x > 5

<h3>Whole function</h3>

Putting these pieces together, we have ...

$\boxed{f(x)=\begin{cases}x-3&\text{for }x\le-1\\-3x+14&\text{for }5 < x\end{cases}}$

_____

<em>Additional comment</em>

Sometimes it is convenient to write inequalities in number-line order (using < or ≤ symbols). This gives a visual indication of where the variable stands in relation to the limit(s). Perhaps a more conventional way to write the domain for the second piece is, <em>x > 5</em>.

3 0

3 years ago

The answer to this difficult question in my math book that I have to solve. Can you help me?

s2008m [1.1K]

A half hour is 30 minutes. So you would need to divide 30 by 5 and you get six. Multiple 6 degrees Fahrenheit by 6 and you get 36 degrees. The solution cooled 36 degrees in half an hour.

Hope this helps!

4 0

3 years ago