Answer:
633
Step-by-step explanation:
We have the equation
![15+102[12-(12-3*2)]+6\\\\15+102[12-(12-6)]+6\\\\15+102[12-(6)]+6\\\\15+102[6]+6\\\\15+612+6\\\\633](https://tex.z-dn.net/?f=15%2B102%5B12-%2812-3%2A2%29%5D%2B6%5C%5C%5C%5C15%2B102%5B12-%2812-6%29%5D%2B6%5C%5C%5C%5C15%2B102%5B12-%286%29%5D%2B6%5C%5C%5C%5C15%2B102%5B6%5D%2B6%5C%5C%5C%5C15%2B612%2B6%5C%5C%5C%5C633)
A kitten’s mass at birth was 0.09 kilogram. The kitten gained approximately 0.084 kilogram each week. After how many weeks is the kitten’s mass 1.098 kilograms?
Steps in multiplying fractions. Remember: finding common denominator is not necessary in multiplying fractions.
Common denominators are only needed in adding and subtracting fractions.
14/15 * 5/2
Step 1. Multiply the numerators.
14 * 5 = 70
Step 2. Multiply the denominators
15 * 2 = 30
Step 3. Simplify the fraction.
70/30 = 2 10/30 = 2 1/3
*the fraction 10/30 can still be simplified by dividing both numbers by 10. Hence, 1/3.
Steps in Dividing fractions.
24/60 ÷ 8/15
Step 1. Get the reciprocal of the 2nd fraction. Reciprocal means the reverse of the fraction. Simply swap the places of the numbers.
Reciprocal of 8/15 is 15/8.
Step 2. Multiply the 1st fraction to the reciprocal of the 2nd fraction. Follow steps in multiplying fractions.
24/60 * 15/8 = (24*15) / (60*8) = 360/480
Step 3. Simplify the fraction.
360/480 = 9 / 12 = 3/4
360 ÷ 40 = 9 ; 9 ÷ 3 = 3
480 ÷ 40 = 12 ; 12 ÷ 3 = 4
Answer:
20.2 miles
Step-by-step explanation:
This can be described by the three sides of a right angled triangle. Let the distance of the glider to the airport be represented by x, applying the Pythagoras theorem:
=
+ 
=
+ 
576 =
+ 169
= 576 - 169
= 407
x = 
= 20.1742
x = 20.2 miles
The glider has to fly 20.2 miles to return to the airport.