Answer:
QR=18
Step-by-step explanation:
QR/QO =QS/QP (proportionality theorem...OP||RS )
QR/39 =24/52
52QR = 24(39)
52Q2=936
QR=18
Simplife3^2 to 9
9x-7+2=0
9x-7+2to 9x-5
9x-5=0
add 5 to both sides 9x=5
Divide both sides by 9
x=5/9
Answer:
1 inch
Step-by-step explanation:
Factors of 63 are 7 and 9, each of which is 2 more than the dimensions of the photo. Sarah's frame is 1 inch wide.
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A 1-inch wide frame adds 2 inches to length and width.
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<em>Solution using an equation</em>
If you let w represent the width of the frame, the area of the framed photo is ...
(5+2w)(7+2w) = 63
4w^2 +24w -28 = 0 . . . . write in standard form
w^2 +6w -7 = 0 . . . . . . . . divide by 4
(w -1)(w +7) = 0 . . . . . . . . factor
The positive solution to this equation is w=1.
The width of the frame is 1 inch.
The first month has the equation raised to 11 which is the number of months left in the period.
So each month the equation would be the same except it would be raised to 1 less than the previous month.
Month 2 = 50(1.003)^10
Month 3 = 50(1.003)^9
Month 4 = 50(1.003)^8
Month 5 = 50(1.003)^7
Month 6 = 50(1.003)^6
Month 7 = 50(1.003)^5
Month 8 = 50(1.003)^4
Month 9 = 50(1.003)^3
Month 10 = 50(1.003)^2
Month 11 = 50(1.003)^1
Month 12 = 50(1.003) ( the last month would not be raised to anything)
