Question 203216
1) Solve by eliminating the decmals:
{{{0.08t+28.3 = 0.5t-9.5}}} Multiply through by 100.
{{{8t+2830 = 50t-950}}} Subtract 8t from both sides.
{{{2830 = 42t-950}}} Add 950 to both sides.
{{{3780 = 42t}}} Finally, divide both sides by 42.
{{{highlight(t = 90)}}}
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2) Start with 2x+1 as the first odd number. (You can see that no matter what value x takes on, 2x+1 will give you an odd number), then the next consecutive odd numbers will be:
(2x+1)+(2x+3)+(2x+5)+(2x+7) = 120 Simplify and solve for x.
8x+16 = 120 Subtract 16 from both sides.
8x = 104 Divide both sides by 8.
x = 13.
The first odd integer is 2x+1 = 2(13)+1 = 27.
The second consecutive odd integer is 2x+3 = 2(13)+3 = 29.
The third consecutive odd integer is 2x+5 = 2(13)+5 = 31
The fourth consecutive odd integer is 2x+7 = 2(13)+7 = 33