Draw a rectangle with diagonal 5 in. Inside this rect. are 2 acute triangles of hypotenuse 5. Note that 3^2 + 4^2 = 5^2; thus the width of the rect. is 3 and the length is 4, with the result that the hypo. is sqrt(3^2+4^2), as expected.
Answer:
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Answer:
1 pear = $0.75; 1 orange = $0.65
Step-by-step explanation:
(1) 3P + 4O = 4.85
(2) 3P + 10O = 8.75 Eqn (2) - Eqn (1)
3P + 10O – 3P – 4O = 8.75 – 4.85 Combine like terms
6O = 3.90 Divide each side by 6
O = $0.65 Substitute into Eqn (1)
3P + 4×0.65 = 4.85
3P + 2.60 = 4.85 Subtract 2.60 from each side
3P = 2.25 Divide each side by 3
P = $0.75
Oranges cost $0.65 each and pears are $0.75 each