Represent d=number of dimes q=number of quarters thererfor q+d=23
1q=0.25 1d=0.10 therefor
total value=3.35=0.25q+0.1d so we have q+d=23 0.25q+0.1d=3.35 solve q+d=23 subtract q from both sides d=23-q subsitute 0.25q+0.1(23-q)=3.35 distribute 0.25q+2.3-0.1q=3.35 group like terms 0.25q-0.1q+2.3=3.35 add like terms 0.15q+2.3=3.35 subtract 2.3 from both sides 0.15q=1.05 multipliy both sides by 100 to get rid of decimal 15q=105 divide both sides by 15 q=7 subsitute q+d=23 7+d=23 subtract 7 d=16
We are given a rain gutter made from folding a 12 inch wide aluminum sheet to an angle theta. The area of the opening is expressed as A(Θ) = 16 sin Θ (cos Θ + 1) where <span>Θ = 45°. we can just substitute directly the angle in degrees mode in the calculator and the answer is equal to 19.32 inches2.</span>
