4. Express the following rational number in its lowest form :
) − 60/72
) − 24/36
)91/364

Answer:

C. 4.

Step-by-step explanation:

Multiply by the LCD of 2 and 4 which is 4.

In geometry, transformations are used to move a point or points from one position to another. The notation that describes how the blue function is transformed into the red function is -f(x)

I have attached the graph of both functions.

From the attached graph, we can see that the blue function is reflected over the x-axis to produce the red function.

Let:

[tex]f(x) \to[/tex] Blue

[tex]g(x) \to[/tex] Red

The transformation of reflection across the x-axis is:

[tex]g(x) = -f(x)[/tex]

Hence, the notation that describes how the blue function is transformed into the red function is -f(x)

Read more about function transformation at:

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Answer:

138 kg / 6 = 23 kg per boy

Answer:

0.75

Step-by-step explanation:

since it's a fraction you can divide

3 divided by 4 is 0.75

Answer:

Round off to the two decimal places then plot on your Cartesian Plane

Answer:

3 1/3 ÷ 4/5 = 25/6 =4 1/6

Result in decimals: 4.1666666666667

Answer:

The answer is 5/4

For the first expression, 3 multiplies 3 plus 1 divided by the denominator 3

= 3×3 +1÷3

=10/3

then with the second expression, the division sign changes to a multiplication sign . Immediately it changes,4/5 turns to become 5/4

so now it will be

10/3×5/4

=15/12

=5/4

Answer:

Step-by-step explanation:

4) You just have to find the lcm of the denominators

a) lcm(4,3,6)=4*3=12

[tex]\dfrac{3}{4} x-\dfrac{2}{3} =\dfrac{1}{6}x\\\\12*(\dfrac{3}{4} x-\dfrac{2}{3}) =12*(\dfrac{1}{6}x)\\\\12*\dfrac{3}{4} x-12*\dfrac{2}{3} =12*\dfrac{1}{6}x\\\\9*x-8 =2*x\\\\9*x-2*x =8\\\\7*x=8\\\\x=\dfrac{8}{7} \\[/tex]

b) I don't know the name of the property but it is :

"We can multiply the two members of an equality by the same non-zero number, we obtain an equality. "

5)

[tex]-6x+10+8x=12-4x\\\\(-6x+10)+8x=12-4x\\\\8x+(-6x+10)=12-4x\\\\8x-6x+10=12-4x\\\\2x+10=12-4x\\....[/tex]

Step-by-step explanation:

1. ∠SPQ

2. ∠b and ∠c both are supplementary of ∠a

3. ∠BFG

4. ∠GFH

5. ∠ECB

6. ∠DCB

7. (i) ∠ABX and ∠BCZ

(ii) ∠DCZ and ∠CBX

(iii) ∠ABW and ∠BCY

(iv) ∠DCY and ∠CBW

Answer: Choice C.  f(x) and g(x) have a common x intercept.

Explanation:

The graph of f(x) shows it has an x intercept at x = 2, since this is one location where the curve crosses the x axis.

The g(x) table shows that x = 2 and y = 0 pair up together. This is the location (2,0). This location is the exact same x intercept as described earlier.

This is the common x intercept the two functions share. This means the two functions cross or intersect at this location.

Answer:

hope this helps you

have a great day

Answer:

-6

Step-by-step explanation:

(/) is divide right?

[tex]( - 5 + 20) \div 5( - 2)[/tex]

[tex] - 5 + 20 = 20 - 5 = 15[/tex]

[tex]15 \div 5 \times ( - 2)[/tex]

[tex] - (15 \div 5 \times 2) = - (30 \div 5) [/tex]

[tex] = - 6[/tex]

Answer:

4 photo frames

Step-by-step explanation:

Hope it will help you

it's 4 pieces of ribbon .

hope it's help you.........!!!!!!!!!!!!!!!!!!!

#rishu

Answer:

-7/2,-2.1,✓5,✓9,3.5

Step-by-step explanation:

✓5=2.23

✓9=3

-7/2=-3.5

[tex]\\ \rm\longmapsto a^3-a+b^3-b[/tex]

[tex]\\ \rm\longmapsto a(a^2-1)+b^3-b[/tex].

Take out b common

[tex]\\ \rm\longmapsto a(a^2-1)+b(b^2-1)[/tex]

[tex]\\ \rm\longmapsto (a+b)(a^2-1)(b^2-1)[/tex]

Step-by-step explanation:

a^3-a+b^3-b = a³+b³-a-b

= a³+b³ - (a+b)

= (a+b)(a²-ab+b²) - (a+b)

= (a+b) (a²-ab+b²-1)

Answer:

-2

Step-by-step explanation:

=-3 2/5 * 5/34

=-17/5 * 5/34

=-1/2

multiplicative inverse of -1/2 is -2

The area of triangle will be 12x and perimeter of triangle will be 5x + 14.

The sides of a triangle which is divided into two parts i.e., a right angle triangle and a non-right angle triangle is given in figure.

We have to find area and perimeter of triangle using the data given.

What are the area and perimeter of a triangle ?

The area of triangle is A = [tex]\frac{1}{2}[/tex] × b × h and perimeter is sum of all sides i.e.,  P = a + b + c.

As per the fig. given in question ;

h = 3x

b = 8

The area of the given triangle will be ;

A = [tex]\frac{1}{2}[/tex] × b × h

A =  [tex]\frac{1}{2}[/tex] × 8 × 3x

A = 24x ÷ 2

A = 12x

The perimeter of triangle will be sum of all sides i.e.,

P = x + 9 + 4x - 3 + 8

P = 5x + 17 - 3

P = 5x + 14

Thus , the area of triangle will be 12x and perimeter of triangle will be 5x + 14.

To learn more about area and perimeter of triangle click here ;

https://brainly.com/question/26314869

#SPJ2

Answer:2.561,664¢ or roughly 25.61$.

Step-by-step explanation:

So, the air conditioner will cost 3.5 * 9.53 ¢ = 30.496 ¢ per hour running.

That means 30.496¢ * 12 = 365.952¢ or ≈3.65$ for a day.

Or 365.95¢ * 7 = 2.561,664¢ or ≈25.61$ for a week.

I'm vietanh and have fun studying!

Tenemos un problema sobre energía potencial gravitatoria.

Econtraremos la expresión general: U = M*h*(H - h')

Lamentablemente no tenemos ninguna información sobre este problema, por lo que tendre que utilizar una expresión general. Sabemos que la energía potencial de un objeto de masa M que está a una altura H sobre el suelo, está dada por: U = M*g*H

Donde g es la aceleración gravitatoria; g = 9.8m/s^2

Si en lugar de querer definir la energia potencial con respecto al suelo, la queremos definir con respecto a otra cosa, entonces debemos conocer la altura de esa cosa con respecto al suelo. Por ejemplo, si en este caso el techo está a una altura h' del suelo, entonces la energía potencial gravitatoria con respecto al techo será: U = M*h*(H - h')

Algo muy interesante que podemos ver en la ecuación de arriba, es que si: h' ≥ H, entonces tendremos una energía potencial negativa, lo cual tiene sentido, pues deberemos agregar energía a la lampara si queremos que esta tenga un potencial igual a cero (lo que seria equivalente a tener la lampara en el techo)

Si quieres aprender más, puedes leer:

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Answer:

Answer is D

Step-by-step explanation:

Basically, when finding the perimeter you add up all the sides. So 10 + 5 + 11 which equals 26.

Step-by-step explanation:

RF (green) = 34/(12+14+34) = 34/60 = 0.57

[tex]\\ \sf\longmapsto RElative\:Frequency(Green)[/tex]

[tex]\\ \sf\longmapsto RF(Green)=\dfrac{34}{12+14+34}[/tex]

[tex]\\ \sf\longmapsto RF(Green)=\dfrac{34}{60}[/tex]

[tex]\\ \sf\longmapsto RF(Green)=\dfrac{17}{30}=0.57[/tex]

Answer:

-10

Step-by-step explanation:

the answer to the question is-10

Answer:

If it's addition then the answer is

-10

Answer:

What can I help you with

Answer:

Step-by-step explanation:

Answer:

answer is 2

Step-by-step explanation:

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