-7=z/2+1
What you first need to do is to multiply both sides of the equation by 2
-14=z+2
Now you move the variable to the left side and change within it’s own sign
-z-14=2
Into
-z=2+14
Now you then add the numbers
-z=16
The last part you do is change the sign on both sides in this equation
z=-16
Therefore, z=-16 is your answer in number 16.
So since this is a linear equation, which is y=mx+b, you use what it tells you in the word problem. so mx is the rate, since in this equation 200 per ton of sugar that's your mx, so its 200x. then for your b value, which in this case is the cost of truck rental, so its 5,400.
your equation is C=200s+5400
the variables are the same so you can use Y and X, but I used the variables used in the word problem.
Y=200x+5400
2xy - 3x + 4xy + 8x
(Try to bring xy species together & x-type together)
2xy+4xy + 8x-3x
6xy + 5x
So, Your Answer would be 6xy + 5x
Hope this helps!
Answer:
23.590 feet
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship between trig functions and sides of a right triangle:
Tan = Opposite/Adjacent
Here, that means ...
tan(65°) = height/(11 ft)
Multiplying by 11 ft, we get ...
height = (11 ft)tan(65°) ≈ 23.5896 ft
height ≈ 23.590 ft
Answer:
1) OPTION D.
2) OPTION D.
Step-by-step explanation:
1) You can calculate the surface area of the rectangular prism with the following formula:

Where w is the width, h is height and l is the length.
The figure show you that:

Then, the surface area is:
![SA=2[(3m*0.5m)+(4m*3m)+(4m*0.5m)]=31m^{2})](https://tex.z-dn.net/?f=SA%3D2%5B%283m%2A0.5m%29%2B%284m%2A3m%29%2B%284m%2A0.5m%29%5D%3D31m%5E%7B2%7D%29)
2) You can calculate volume of the rectangular prism with the following formula:

Where w is the width, h is height and l is the length.
When you substitute values, you obtain the following result:
