Answer:
290
Step-by-step explanation:
These are rectangular prisms. The volume formula for a rectangular prism is
l x w x h.
I'll call the bottom cuboid 'Figure A'.
Figure A has a length of 8, a width of 5, and a height of 5. The volume formula is: 8 x 5 x 5. 40 x 5 =200
The volume of Figure A is 200.
I'll call the top cuboid Figure B.
Figure B has a length of 3, a width of 5, and a height of 6. That turns into
3 x 5 x 6.
The volume of Figure B is 90.
The volume of a composite figure is the sum of the figure's volume.
200+90=290
Your drawing was much more helpful and informative than your statements in words and symbols.
I see that you want to evaluate (3/2)^2 times (8/15)^2.
You could combine these two expressions into one, as follows:
3*8
( ----------- )^2
2*15
This, in turn, can be simplified by reduction:
( 4/5 )^2. Expanded, this result gives us 16/25.
Next problem
----------------------------
( 9/4 )^4 * ( 4/3 )^3
9^4 4^3
First, focus on ( ------- ) * ( ----------- )
4^4 3^3
Now reduce 4^3 / 4^4: The end result is 1/4.
Reduce 9^4 / 3^3. To do this, rewrite that 9 as (3^2), resulting in:
3^8 / 3^3. The end result is 3^5.
Putting this expression back together, we get 3^5 / 4 (answer)
First you must state that the relationship is proportional. It is because it goes into the origin.
y = 2.5x
k = 2.5 And 2.5 is the constant of proportionality.
Jamie took 2 hour and 30 minutes to reach the because 5:30-3:00=2hours and 30 minutes.Raul took 1 hour 30 minutes to reach state park because 4:30-3:00=1 hour and 30 minutes.Since they went in opposite directions you can add the time to get 4 hour.It would take 4 hours to go from the beach to state park.There speed was 60 miles per hour since 240/60=4/1 mph.
782,444 rounded to the nearest hundred thousand would be 800,000.
This is because we know that the hundred thousands place has a 7 in it, so it would be 700,000. However, because 8 is greater than 5, we have to round up instead of down.
Hope this helps!