9514 1404 393
Answer:
18 in
Step-by-step explanation:
The volume of each container is the product of its dimensions:
V = LWH
We can let h represent the unknown height of Container 2. The volumes are equal when ...
32·18·12 = 24·16·h
(32·12·18)/(16·24) = h =18 . . . . . divide by the coefficient of h, simplify
The missing height of Container 2 is 18 inches.
Answer:
35 ways
Step-by-step explanation:
7×6×5×4. 7×6×5×4
--------------. = --------------. = 35
1x2×3×4. 1×2×3×4
It is often easiest to use "military time". That is, add 12 to all the afternoon numbers and do the subtraction in the usual way. Of course, 1 hour = 60 minutes, so 10 minutes = 10/60 hour = 1/6 hour.
Mon: 15:10 -8:00 = 7:10 = 7 1/6
Tue: 15:25 -8:05 = 7:20 = 7 1/3
Wed: 14:30 -8:00 = 6:30 = 6 1/2
Thur: 14:45 -7:55 = 7:(-10) = 6:50 = 6 5/6
Fri: 15:38 -7:58 = 8:(-20) = 7:40 = 7 2/3
_____
Some calculators have nice features for working with degrees, minutes, and seconds. In this context, degrees and hours are the same thing. That is, the base-60 arithmetic is the same whether you consider the numbers to be hours or degrees. Similarly, some calculators convert nicely between decimal fractions and mixed numbers. In short, a suitable calculator will almost do this math for you. (You just need to add 12 to all the numbers in the column on the right.)
Answer:
<em>The new mixture is 49% peanuts.</em>
Step-by-step explanation:
The first batch of 9 lb of mixed nuts contains 55% peanuts. This means the quantity of peanut is:
9*55/100=4.95 lb
The second batch of 6 lb of mixed nuts contains 40% peanuts. This means the quantity of peanut is:
6*40/100=2.4 lb
The total quantity of peanut in the mix is
4.95 lb + 2.4 lb =7.35 lb
There are 9 lb + 6 lb = 15 lb of mix. Thus, the percent of peanut in the mix is:
7.35 / 15 * 100 = 49%
The new mixture is 49% peanuts.
Answer:
Area of the triangle 
5.9 sq. ft. .
Step-by-step explanation:
Length of two sides of the triangle are, 2.7 feet and 3.4 feet and the angle between them is 40° .
So, the area of the triangle is given by,
sq. ft.
sq. ft.
