Henry made up a problem about three consecutive odd integers. He said, “The first decreased by the third equals the second decreased by 9.” What integers did he have in mind?

11, 13, 15

Let the first integer be x.  The second integer is (x + 2) and the third integer is (x + 4).

x - (x + 4) = (x + 2) - 9

4 = x - 7

x = 11

Now, just substitute

11, 13, 15

Step-by-step explanation:

Let the first integer be x.  The second integer is (x + 2) and the third integer is (x + 4).

x - (x + 4) = (x + 2) - 9

4 = x - 7

x = 11

Now, just substitute

1406.25

Step-by-step explanation:

The soccer field at a park is 9,000 square yards. The soccer field takes up 6 2/5 square inches on the map of the park. How many square yards does 1 square inch on the map represent? Show your work. Help me pls

Given that:

Area of soccer field = 9000 sq yards

Soccer field takes up 6 2/5 square inches on the map of park

Hence,

9000 yd² = 6 2/5 in²

Let 1 in² on map = m

9000 yd² = 32/5 in² - - - (1)

m = 1 in² - - - (2)

Cross multiply ;

6.4 * m = 9000

m = 9000/6.4

m = 1406.25

Hence,

1 in² on map = 1406.25 feet²

900