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3 years ago

How to write 5.96 as a fraction or mixed number in simplest form.

Mathematics

2 answers:

Tju [1.3M]3 years ago

8 0

$5.96=5+0.96=5+\dfrac{96}{100}=5\dfrac{96:4}{100:4}=5\dfrac{24}{25}$

Bingel [31]3 years ago

7 0

5 24/25 (five and twenty four twenty fifths)

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Somebody help me :( 12x+6y=120 4x+y=30

guapka [62]

Answer:

x=5, y=10. (5, 10).

Step-by-step explanation:

12x+6y=120

4x+y=30

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

2x+y=20

4x+y=30

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

y=20-2x

4x+(20-2x)=30

4x+20-2x-30

2x-30-20

2x=10

x=10/2

x=5

4(5)+y=30

20+y=30

y=30-20

y=10

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3 years ago

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The least common denominator of two fractions is 24. If you add the two denominators their sum is 14. What are the denominators

natka813 [3]

I don’t know I’m sorry

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3 years ago

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Given A(3, 4), B(4, 3) and C(2, 1), what are the coordinates of C', the image of C under a rotation of 90 degrees about the orig

Aleks [24]

Given:

The coordinates of the points A, B and C are (3,4), (4,3) and (2,1)

The points are rotated 90° about the origin.

We need to determine the coordinates of the point C'.

Coordinates of the point C':

The general rule to rotate the point 90° about the origin is given by

$(x, y) \Rightarrow(-y, x)$

Substituting the coordinates of the point C in the above formula, we get;

$(2, 1) \Rightarrow(-1, 2)$

Therefore, the coordinates of the point C' is (-1,2)

5 0

4 years ago

Q8 Q3.) Solve the system by the substitution method.

inn [45]

Recall that $(x+y)^2=x^2+2xy+y^2$ . So we can add twice the first equation to the second one to get

$x^2+y^2+2xy=10+2\cdot3\iff(x+y)^2=16\implies x+y=\pm4$

Since $xy=3$ , we have $y=\dfrac3x$ $(x\neq0)$ so

$x+y=x+\dfrac3x=\pm4\implies x^2\mp4x+3=0$

If $x+y=4$ , then

$x^2-4x+3=(x-3)(x-1)=0\implies x=3,x=1\implies y=1,y=3$

If $x+y=-4$ , then

$x^2+4x+3=(x+1)(x+3)=0\implies x=-1,x=-3\implies y=-3,y=-1$

So the solution set is

$(x,y)\in\{(-3,1),(1,3),(-1,-3),(-3,-1)\}$

3 0

3 years ago

Which statement best describes the domain of the function represented in the graph?

Vilka [71]

Given:

The graph of a function.

To find:

The correct statement for the domain of the given function graph.

Solution:

Domain is the set of x-values for which the function is defined or it is the set of input values.

From the given graph it is clear that it is a linear function with end points (1,2) and (9,14).

So, the given function is defined for $1\leq x\leq 9$ . Here 1 and 9 are including in the set of x-values.

Therefore, the correct option is C, i.e., $1\leq x\leq 9$ or x between 1 and 9, inclusive.

7 0

3 years ago