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3 years ago

If 3k = 27 then what is k

Mathematics

2 answers:

Xelga [282]3 years ago

8 0

I hope this helps you

divide 3 two sides

3k/3=27/3 k=9

Artist 52 [7]3 years ago

5 0

To solve this question all you have to do is:

1. Divide 27 by 3 (which is 9)

Therefore, k is equal to 9.

I hope I was able to simplify this as easily as possible for you.

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Round each number to the nearest 100 -976 Please answer!!! I need to help my cousin!!!!!

Otrada [13]

Step by step explanation:

-67

4 0

3 years ago

What is the prime factorization of 72? 0.2² x 32 O 22 x 33 O 23 x 32 O 23 x 33

valentina_108 [34]

Answer:

$2^3\times 3^2$

Step-by-step explanation:

$72\\\\72\:\mathrm{divides\:by}\:2\quad \:72=36\times\:2\\\\=2\times\:36\\\\36\:\mathrm{divides\:by}\:2\quad \:36=18\times\:2\\\\=2\times\:2\times\:18\\\\18\:\mathrm{divides\:by}\:2\quad \:18=9\times\:2\\\\=2\times\:2\times\:2\times\:9\\\\9\:\mathrm{divides\:by}\:3\quad \:9=3\times\:3\\\\=2\times\:2\times\:2\times\:3\times\:3\\\\2,\:3\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}\\\\=2\times\:2\times\:2\times\:3\times\:3\\\\=2^3\times 3^2$

3 0

3 years ago

Sarah kicked a ball in the air. The function

Aleksandr-060686 [28]

Answer: The ball hits the ground at 5 s

Step-by-step explanation:

The question seems incomplete and there is not enough data. However, we can work with the following function to understand this problem:

$f=30 t- 6t^{2}$ (1)

Where $f$ models the height of the ball in meters and $t$ the time.

Now, let's find the time $t$ when the ball Sara kicked hits the ground (this is when $f=0 m$ ):

$0=30 t- 6t^{2}$ (2)

Rearranging the equation:

$6t^{2}-30 t=0$ (3)

Dividing both sides of the equation by $6$ :

$t^{2}-5 t=0$ (4)

This quadratic equation can be written in the form $at^{2}+bt+c=0$ , and can be solved with the following formula:

$t=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a}$ (5)

Where:

$a=1$

$b=-5$

$c=0$

Substituting the known values:

$t=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(0)}}{2(1)}$ (6)

Solving we have the following result:

$t=5 s$ This means the ball hit the ground 5 seconds after it was kicked by Sara.

6 0

3 years ago

The length of a rectangle is 4 less than three times the width. The area of the rectangle is given by the formula A = l × w. Whi

Masja [62]

Answer:

C) A = $3w^{2} - 4w$

Step-by-step explanation:

First, read through what the question is asking.

Now, read it again, but slowly and take in everything it is saying (Don't read into it too slowly, or else you will over-complicate the problem and get frustrated - told from experience :) )

Alright, 4 less than 3 times the width. So, lets rearrange this and give width a variable (w).

So, the length is equal to:

l = 3w - 4

and the width is equal to:

w = w

The area of a rectangle is A = l * w

Let's plug in the values.

A = (3w - 4) * w

Now, simplify:

A = $3w^{2} - 4w$

A = $3w^{2} - 4w$ is your final answer.

I hope this helps!

6 0

4 years ago

A school makes $715 from ticket sales for a school play. From the ticket sales. $488 is from adult tickets. Student tickets are

Doss [256]

($715-$488)÷$3=$75.67. From there you would then divide $76 dollars (rounded) and divide it by three. The answer is 25 students attended the play.

3 0

4 years ago