A five-speed bicycle has a chain linking the pedal sprocket to the gears on the rear wheel. The ratio of pedal turns to rear-wheel turns in first gear is 8 to 17. How many times in first gear does the rear wheel turn if the pedals turn 160 times?

9514 1404 393

  340

Step-by-step explanation:

Multiply each number in the ratio by 20:

  pedal : wheel = 8 : 17 = 160 : 340

The rear wheel turns 340 times when the pedal turns 160 times.

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Additional comment

As a reasonableness check, realize that 17 is just slightly more than 2 times 8. Then the number of rear wheel turns will be slightly more than 2 times 160.

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10