Answer:
0.2
Step-by-step explanation:
you move 9x to make 6x-1=2-9x
then move the 1 to make 6x=3-9x
so this means that 15x=3
so x=0.2
Answer:
1) 3
2) 30
Step-by-step explanation:
To find the GCF, you find out the (prime) factors of the two numbers in question. For this question, we would find the (prime) factors that go into 6 and 15.
For the number 6, we can get 2 x <u>3</u> = 6.
For the number 15, we can get <u>3</u> x 5 = 15.
You then underline those factors that you have in common. As you can see, since there is only 1 factor underlined per number, we would have the GCF as 3. On the instance you have more than 1 number underlined, you just multiply them.
Example: 12 and 20
<u>2</u> x <u>2</u> x 3 = 12
<u>2</u> x <u>2</u> x 5 = 20
They both have 2 x 2 in common, so you would get 4 as the GCF.
Moving onto the LCM, I would find this by multiplying each number until i find something similar.
6 x 1 = 6
6 x 2 = 12
6 x 3 = 18
6 x 4 = 24
6 x 5 = <u>30</u>
15 x 1 = 15
15 x 2 = <u>30</u>
The number that is underlined is the lowest common number we have when multiplying and going up by 1, so 30 would be our answer.
A faster way you could've solved this is by knowing that you can't multiply 6 and a whole number to get 15, but you can multiply 6 and a whole number to get 30. This, however, is just prior knowledge.
2x+11+6x-7=180
8x+4=180
8x=176
x=22
MHT= 6x-7
125
AHM= 2x+11
55
Answer:
The answer to your question is 116.53 ft
Step-by-step explanation:
Data
length = 29 ft
width = 21 ft
π = 3.14
Process
1.- Calculate perimeter of the rectangle and subtract 1 length
Perimeter of the rectangle = 2l + 2w - l
Perimeter of the rectangle = 2(29) + 2(21) - 29
= 58 + 42 - 29
= 71 ft
2.- Calculate the perimeter of a semicircle
Perimeter = 2πr/2 = πr
radius = r = 29/2
= 14.5 ft
Perimeter = (3.14)(14.5)
= 45.53 ft
3.- Calculate the total length of the fence
fence = 45.53 + 71
= 116.53 ft
Here's what I found !
<h2>
"With an increase in temperature, the particles move faster as they gain kinetic energy, resulting in increased collision rates and an increased rate of diffusion. In a solid, the particles pack together as tightly as possible in a neat and ordered arrangement."</h2>
<h3><em>I hope this helps. :)</em></h3>
