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 = 30
Step-by-step explanation:
The angle in the bottom right is 120
Call is y
y+60 = 180
y = 180-60
y =120
Opposite angles in a parallelogram are equal so the upper left angle is 120
Call the 3x +z = 120
We also know that 2x+90 +z = 180 since it forms a straight line
Subtract 90 from each side
2x+z = 90
Using 3x+z = 120 and 2x+z =90 and subtracting the second equation
3x+z = 120
-2x-z =-90
------------------
x = 30
The numbers are 11 and 5
There product is 55
Q + d = 63....q = 63 - d
0.25q + 0.10d = 10.80
0.25(63 - d) + 0.10d = 10.80
15.75 - 0.25d + 0.10d = 10.80
-0.25d + 0.10d = 10.80 - 15.75
-0.15d = -4.95
d = -4.95/-0.15
d = 33 <=== 33 dimes
q + d = 63
q + 33 = 63
q = 63 - 33
q = 30 <=== 30 quarters
C. (5,15) and (2,9)is the correct answer