Answer:
B.
Step-by-step explanation:
All of it needs to add up to 180
So you have
2x + 4x+10 + 6x-10 = 180
Combine like terms
12x=180
Answer:
x=-3
Step-by-step explanation:
Hi there!
<u>1) Determine the slope</u>
Parallel lines always have the same slope. However, the given line x=8 is a vertical line organized in the form x=d, where d is the x-intercept. Therefore, the slope is undefined, and our line will also have an undefined slope.
Now, because this line will also be a vertical line, it will also be organized like:
x=d
<u>2) Determine the x-intercept (d)</u>
Note that all the points a vertical line passes through will have the same x-coordinate. We're given that this line passes through the point (-3,-2), so therefore, the x-intercept will be (-3,0).
Plug this into x=d:
x=-3
I hope this helps!
Answer:
8 1/8
Step-by-step explanation:
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Answer:
y = 8
Step-by-step explanation:
Step 1: Write equation
3 - 5y = -37
Step 2: Subtract 3 on both sides
-5y = -40
Step 3: Divide both sides by -5
y = 8
Answer:
6 glasses.
Step-by-step explanation:
Mark drank a total of 10 glasses of water and iced tea yesterday.
Each glass of water contained 8 ounces.
Each glass of iced tea contained 12 ounces.
All together he drank 96 ounces.
Given a system of simultaneous equations:
x + y = 10
8x + 12y = 96
This depicts that there are x glasses of water and y glasses of iced tea.
Solving the simultaneous equations:
x + y = 10 ... (i)
8x + 12y = 96 ... (ii)
Multiplying (i) by 8 and (ii) by 1 gives;
8x + 8y = 80 ... (i)
8x + 12y = 96 ... (ii)
Subtracting (i) from (ii) gives;
4y = 16 , y = 16/4 = 4
So mark drank 4 glasses of iced tea and 10 - 4 = 6 glasses of water.
