The volume of a cuboid is = length × width × height.
Let the width of Olivia's lunch box be 'x'.
Hence the length of Olivia's lunch box shall be 'x + 2'
Also the height of the box is given as 3 inches.
The volume of the box is 240 in³
Substituting in the formula we get
Dividing by 3 on both sides
Exapnding we get
Subtracting 80 from both sides
Factoring
We get
x= -10 or x = 8
But x cannot be negative
So x = 8
Hence the width of the box is 8 inches.
We can calculate the length of AB using the Pythagorean Theorem, where:
So, replacing PA by 34 and PB by 16 and solving for AB, we get:
Then, AC = AB + BC, But AB = BC, so:
AC = 2*AB
Replacing AB by 30, we get:
AC = 2*30 = 60
Answer: AC=60
Answer:
4 : 5
Step-by-step explanation:
Kate can mow at a constant rate of 4/5 lawns per hour.
So, we can represent this in the following manner:
Kate can mow 4 lawns in an interval of 5 hours at a constant rate.
We are asked to determine the ratio of lawns per hour.
Therefore, the ratio of lawns per hour is 4 : 5. ( Answer )
Solve the rational equation by combining expressions and isolating the variable x.
x = 1/5
Hope this helps! :)
The lcm of 120 and 20 is 120!
20 = 2 x 2 x 5
120 = 2 x 2 x 2 x 3 x 5
LCM = 2 x 2 x 2 x 3 x 5
