Answer:
x = 10.39 to the nearest hundredth.
Step-by-step explanation:
this is a right angled triangle so we use the Pythagoras theorem:
12^2 = x^2 + 6^2
x^2 = 12^2 - 6^2
x^2 = 144 - 36 = 108
x = √108
x = 10.39 (answer).
Answer:
The number is 
Step-by-step explanation:
Denote the original number by z. The expression "Four less than nine times a number is one hundred twenty-two" can be rewritten in an equation.
Our number is z, then the left hand side of the equation is 9z-4.
The right side of the equation is 122. Then the complete equation is 
. Add 4 in both sides to get 
. Now, divide by 9 in both sides to get 
11 a. Since she runs 10km in one hour she runs 5km in half an hour and 25km in 2 and a half hours
11b. Since she runs 5 miles in one hour she runs 2.5 miles in half an hour and 12.5 mils in 2 and a half hours
11 c. Since 1.60934 kilometers = 1 mile, Clair ran the farther distance
12 a. 13.20/6 = 2.2 dollars for 1 bowl
12 b. 9/3 = 3 and if he got 3 sets of 3 free bowls he bought 24 pairs of glasses
12 c. If Malcom bought 24 pairs of glasses 24*1.80 = 43.2, so he spent 43.2 dollars on glasses
13 a. 6 to 4 or 6:4
