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3 years ago

Factor out the coefficient of the variable: 2/9j + 2/3

2 answers:

7 0

To factor out 2/9, we must find how it factors out of 2/3. Divide 2/3 by 2/9, which is the same as multiplying ⅔ and 9/2, then you get (2*9)/(2*3) or 9/3 which is 3. So factored out the expresssion looks like 2/9(j+3)

Valentin [98]3 years ago

6 0

Factorisation:

2/9j+2/3

=2/9j+6/9

=2/9(j+3)

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Workers have been down the street installing two blinking red lights in front of the fire station. The two lights are always tur

daser333 [38]

Answer:

After 88 seconds, they will blink together.

Step-by-step explanation:

Time after which the first light blinks = 8 seconds

Time after which the second light blinks = 22 seconds

Initially, both the lights blink together.

To find:

The time at which they will blink together again.

Solution:

Let us have a look at the time after which each light will blink.

First light will blink after:

8 s, 16 s, 24 s, 32 s, 40 s, 48 s, 56 s, 64 s, 72 s, 80 s, 88 s, 96 s, 104 s, ......

Second light will blink after:

22 s, 44 s, 66 s, 88 s, 110 s, .....

It can be seen that common time is 88 second, at which the both will blink together.

So, the answer is 88 s.

This answer can also be computed by taking the LCM (Least Common Multiple) of both the numbers i.e. 8 and 22.

Using the factorization method:

$8=\underline{2}\times 2\times 2$

$22=\underline{2}\times 11$

Common is 2.

Therefore the LCM will be:

$2\times 2\times2\times 11 = \bold{88}$

So, the answer is 88 s.

5 0

3 years ago

If (-3) exponent -5 = 1/x, what is the value of x? -243 - 1/243 1/243 243

trapecia [35]

Answer:

$\boxed {-243}\\$

Step-by-step explanation:

$\begin{array}{rclr}(-3)^{-5} & = & \dfrac{1}{x}& &\\(-3)^{5} & = & x &\text{Inverted each side of the equation}\\x & = & \boxed {\textbf{{-243}}}\\\end{array}$

6 0

3 years ago

Can someone please help me!

Sindrei [870]

Answer:

The Answer is x=6 2/3

Step-by-step explanation:

The Area of a triangle is A= 1/2 bh, so we should think of the triangle as half of a square/rectangle. This means the total area of the theoritical Square is 400 sq ft. We then figure out this equation:

12 * 5x = 400

400/12 = 5x

80/12 = x which is equal to 6 2/3.

Hope this helps!

5 0

4 years ago

Find the area of a triangle with vertices at D(2, 0), E(–1, 0), and F(2, –7).

kati45 [8]

Im suck on the same question

8 0

3 years ago

Read 2 more answers

The box-and-whisker plot below represents some data set. What is the minimum value of the data?

ExtremeBDS [4]

Answer:

minimum value is: the left whisker

Step-by-step explanation:

box an whisker plot: left line is the minimum, first part of the box is Q1, where the box has a middle line it is called Median, the other end of the box is Q3, the right line is called the maximum whisker.

Hope this helps

6 0

3 years ago