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zaharov [31]
3 years ago
12

A rectangular prism is completely packed with 90 cubes of edge length fraction 1 over 2 inch, without any gap or overlap. Which

of the following describes the volume of this rectangular prism? 11 unit cubes and 1 smaller cube of volume fraction 1 over 8 cubic inch 22 unit cubes and 4 smaller cubes of volume fraction 1 over 8 cubic inch each 11 unit cubes and 2 smaller cubes of volume fraction 1 over 8 cubic inch each 22 unit cubes and 2 smaller cubes of volume fraction 1 over 8 cubic inch each Could someone teach me the steps please? I reviewed the lesson, I still don't understand

Mathematics
1 answer:
Katarina [22]3 years ago
3 0
Check the picture below.

ok, notice the volume of the smaller cube forming the larger cube.  Keeping in mind that the larger cube has 90 of those small ones.

\bf \stackrel{\textit{larger cube}}{V}=90\stackrel{\textit{small cube}}{V}\implies \stackrel{\textit{larger cube}}{V}=90\cdot \cfrac{1}{8}

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Simplify the expression <br> 6 (-3b + 1)
finlep [7]

Answer:

−18b+6

Step-by-step explanation:

6(−3b+1)

Use the distributive property to multiply 6 by −3b+1.

−18b+6

7 0
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3 years ago
A boat traveled 240 miles downstream and back. The trip downstream took 12 hours. The trip back took 24 hours. What is the speed
RoseWind [281]

Answer:

rate boat = 15 mph

rate current = 5 mph

explanation:

d = r * t

t = d/r

240 / (r_boat + current) = 12       Multiply both sides by r_boat + r_current.

240 = 12(r_boat + current)

240/ (r_boat - current) = 24       Multiply both sides by r_boat - r_current

240 = 24*(r_boat - current)    

Since the distances are the same in both equations, you can equate the right side of each.

12 (r_boat + current) = 24(r_boat - current)     Divide by 12

r_boat + current  = 2 (r_boat - current)             Remove the brackets.

r_boat  + current = 2*r_boat - 2* current          add 2 currents to both sides

r_boat  + 3currents = 2*r_boat                          Subtract r_boat both sides

3 currents = r_boat.

240 = 12*(r_boat + current.                               Divide by 12

20 = r_boat + current                                        Put 3 currents in for r_boat

20 = 3currents + 1 current                                Combine

20 = 4 currents                                                  Divide by 4

5 = current

The rate of the current = 5 miles / hour

3 currents = r_boat

3*5 = rate_boat

15 = rate of the boat

8 0
2 years ago
Please help me it is due today
boyakko [2]

Answer:

B

Step-by-step explanation:

A give me 2'zero

b give me 9'zero

c give 8'zero

d gives 5 zero

e give me 4'zero

for example it give me two zero it 100

or if five 5 zero it 100000

hope this helps

3 0
2 years ago
Mistery number . CLUES: -it has the digits 8,5 and 6 . - it is a odd number . - it has 8 in the hundreds place . WHAT IS THE MIS
Ipatiy [6.2K]
With digits 8, 5, and 6, an odd number must end in 5.
So far, we have _ _ 5.
The 8 is in the hundreds place.
Now we have 8_5.
The only place left for the 6 is the tens place.
The number is 865.

6 0
3 years ago
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