23. Option A: 4p + 175 = 375
24. $50 per monthly payment if the down payment is $175
25. Option C: 28x + 64 = 456
26. $14 for a haircut
27. a. See the diagram attached. It was drawn on Google Drawing so obviously not to scale but you get the gist.
b.
Not quite sure what a verbal model is but with the diagram you should be able to describe it.
4 bookshelves, 2 on each side, in an entertainment center and a middle section of 30 inches wide all add up in its entirety to equal 90 inches.
c.
4x + 30 = 90
d.
4x = 60
x = 15
The bookcases are each 15 inches wide
Answer: (x, y) = (-26, 10)
This means x = -26 and y = 10 pair up together
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How to get that answer:
Add the equations straight down. Think of having 3 separate columns for the three different like terms.
- 3x + (-3x) becomes 0x and that's just 0. So the x terms go away
- 9y + (-6y) is the same as 9y-6y which turns into 3y
- 12 + 18 becomes 30
After all that, we're left with the simpler equation 3y = 30. That solves to y = 10 after dividing both sides by 3.
Plug this back into any equation involving x and y. Solve for x
3x+9y = 12
3x+9(10) = 12
3x+90 = 12
3x = 12-90
3x = -78
x = -78/3
x = -26
We have found that x = -26 and y = 10 pair up together to form the solution.
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Checking the answer:
Plug (x,y) = (-26, 10) into the first equation
3x+9y = 12
3(-26)+9(10) = 12
-78+90 = 12
12 = 12
We get a true equation since the same thing is on both sides.
Repeat the same idea for the second equation
-3x-6y = 18
-3(-26) - 6(10) = 18
78 - 60 = 18
18 = 18
The second equation is true as well.
Both equations are true, so the solution (x, y) = (-26, 10) is confirmed.
Answer: It would be option D :)
Step-by-step explanation: the formula for volume in a cylinder is π r squared times height. You plug those in and that’s your answer!
The answer is 2 hours because from 5 to 7 the temperature was raising <span />