Answer:
1 7/10
Step-by-step explanation:
First, you would convert the first mixed number into an improper fraction. In this case, it would be 17/4.
The next step would be to multiply the two fractions. To re elaborate, we would be multiplying 17/4 * 2/5. If you don't know how to do that, ask me.
The product is 34/20. It says to simplify the answer into a mixed number, so that would be 1 14/20, simplified to 1 7/10.
Hope this helps! :)
Answer:
b = 3
Step-by-step explanation:
the 2 indicated angles form a right angle and sum to 90° , that is
8b + 7 + 59 = 90
8b + 66 = 90 ( subtract 66 from both sides )
8b = 24 ( divide both sides by 8 )
b = 3
Your teacher is right. There is no reason to use algebra, which is misused in many problems as a shortcut, and slows the actual learning of math skills.
Here, the solution is as follows:
1. Find the volume of water in tank X.
2. Find the TOTAL base area of the three tanks, imagine that you have a larger tank with the same base area as the sum of the three.
3. Find the height of water in the new tank.
1. Find the volume of water in tank X.
Volume = 32*20*39.5=25280 cm^3
2. Find the TOTAL base area of the three tanks, imagine that you have a larger tank with the same base area as the sum of the three.
Total base area = 32*20 + 30*16 + 20*8 = 640+480+160 = 1280 cm^2
3. Find the height of water in the new tank
Height = Volume / base area
= 25280 / 1280
= 19.75 cm
