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
Divide 1500 by 3 and that equals 500
The triangle is drawn and is shown in the image attached with.
We get two similar triangles. Triangle ABC and Triangle ADE. Since the triangles are similar the ratio of their corresponding sides will be the same.
D and E are the midpoints of AB and BC, therefore, AD and AE are both 4 units in length. Using the property of similar triangles, we can say:
AD : DE= AB : BC
AD = 4 units
AB = 8 units
BC = 6 units
DE = unknown = x units
So,

Therefore,
the length of DE will be 3 units
The system of inequalities is x+y≥250 and 3x+2y≤800.
Step-by-step explanation:
Given,
People to invite = at least 250
At least 250 means that the number can increase from 250.
Cups to be provided = only 800
It means the number cannot exceed 800.
Number of adults = A
Number of children = C
According to given statement;
x+y≥250
3x+2y≤800
The system of inequalities is x+y≥250 and 3x+2y≤800.
Keywords: linear inequalities, addition
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