Julia can finish a 20-mile bike ride in 1.2 hours. katie can finish the same bike ride in 1.6 hours. how much faster does julia ride than katie? distance rate time julia 20 1.2 katie 20 1.6 4.2 mph 12.5 mph 15.4 mph 16.7 mph

Julia rides 4.2 mph faster than Katie.

Step-by-step explanation:

Hi, to solve this problem we have to calculate the miles per hour of each person, using the information given.

So:

Julia = 20miles / 1.2 hours = 16.7 miles per hour

Katie = 20 miles / 1.6 hours = 12.5 miles per hour

Now ,we can subtract Katie´s result to Julia´s result to obtain the difference.

16.7 mph - 12.5 mph = 4.2 mph

In conclusion, Julia rides 4.2 mph faster than Katie.

Feel free to ask for more if it´s necessary or if you did not understand something.

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

~

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8