If a commodity is sold at 60 yuan, the profit will be 25%. If the purchase price of the commodity is x yuan, the equation can be listed

If a commodity is sold at 60 yuan, the profit will be 25%. If the purchase price of the commodity is x yuan, the equation can be listed

Let the purchase price of the commodity be x yuan
X(1+25%)=60
X+25%X=60
125%X=60
X=48

As shown in the figure, in △ ABC, point P moves from point a along the edge of AB to point B at a speed of 1cm / s, and point Q moves from point B along the edge of BC to point C at a speed of 2cm / S. (1) if points P and Q start from a and B at the same time, then in a few seconds, the area of △ PBQ is equal to 4cm2? (2) Can the area of △ PBQ be equal to 7 in (1)? Please give reasons

(1) Let the area of △ PBQ equal to 4cm2 after x seconds, then BQ = 2x, BP = 5-x, according to the meaning of the question: 12 × 2x × (5-x) = 4, the solution is: X1 = 1, X2 = 4 (not rounding off the meaning of the question), answer: the area of △ PBQ equals 4cm2 after 1 second; (2) no, according to the meaning of the question, we can get: 12 × 2x × (5-x) = 7, sort out: x2-5x + 7 = 0, b2-4ac = 25-4 × 7 = - 3 < 0, then △ PBQ has no real root Area cannot be equal to 7

45:8 is 2:65 less than 5:1 of a certain number. Find this number. (solve by equation)

45.8+2.65=5.1x
48.45=5.1x
x=48.45/5.1
x=9.5
o(︶︿︶)o