-⅔ (6x + 9) = 18
Apply distributive property. Multipy -⅔ to 6x and 9.
-4x - 6 = 18
Add 6 to both sides so -4x can be alone.
-4x - 6 + 6 = 18 + 6
-4x = 24
To get x alone, divide both sides by -4.
-4/-4x = 24/-4
x = -6
x = -6 is your answer. I hope this helps! Let me know if you need more help or if I got something wrong.
Perimeter simply represents the sum of all side lengths of a shape. The length of the missing side of the ticket is 5 cm; the length of gold line on each ticket is 20 cm, and 2 bottles of gold ink are required to draw gold lines on 200 tickets.
I've added the image of the ticket as an attachment.
(a) The missing side length
From the attachment, the 4 unknown side lengths are equal. Represent this side length with L.
So, we have:

This gives


Collect like terms


Divide both sides by 4

(b) The length of the gold lines
There are 4 slant lines and the length of one of the slant lines is 5 cm (as calculated above).
So, the length of the gold line is:



(c) The number of gold ink bottles.
--- number of tickets
The length of all gold line in the 200 tickets is:



---- convert to meters

Given that:
--- 1 bottle for 20 m
The number of bottles (n) is:



Hence, 2 bottles of gold ink are enough.
Read more about perimeters at:
brainly.com/question/6465134
Answer:
1. 30
2. 150
Step-by-step explanation:

Lets assume tan(x) = u

Now we solve for 'u'
add 1 on both sides
, divide both sides by 3

Take square root on both sides

We replace tan(x) for 'u'
x = 30 because
in first quadrant
x = 30 (tan is positive in first quadrant)
x = 150 because
in second quadrant
tan is negative in second quadrant
Answer:
-3
Step-by-step explanation:
GCF = greatest common factor
What is in common with 3x and 18? They are both multiples of 3.
3 times x = 3x
3 times 6 = 18
However, it is -3x and -18
So we can add a negative sign in front of the 3
Therefore, the GCF is -3.
I hope this helped and please mark me as brainliest!
Answer:
Step-by-step explanation :Answer
To chance an improper fraction into a mixed number first divide the numerator by the denominator
Example 11/5 divide 11 by 5 and you get 2.2 that means that 5 goes into 11 twice with some leftover which means the answer is going to be 2 plus a fraction
To get the fraction you multiply the denominator by the whole number you found (5*2) and subtract the numerator by that new number
5*2=10 11-10=1
Your new fraction is now 2 1/5