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laiz [17]
3 years ago
15

What is the maximum volume of a pyramid that can fit inside a cube with sides that are 18 cm long?

Mathematics
1 answer:
Alex787 [66]3 years ago
7 0

Answer:

972 cm³

Step-by-step explanation:

the maximum volume is

⅓×18³= 972 cm³

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Translate (in terms of x) then solve the algebraic equation. When the sum of a number and 2 is subtracted from 13 the result is
Diano4ka-milaya [45]
13 - (x+2) = 8
subtract 13 from both sides
-(x+2) = -5
divide by -1 to get rid of negative
(x+2) = 5
subtract 2 from both sides
x=3
7 0
3 years ago
Jim is investing in the stock market. Jim is hoping to earn $2,000 in interest in order to take a trip to Mexico. Stock A earns
Vanyuwa [196]

Given:

Total amount for investment = $32000

Rate of interest for Stock A = 4%

Rate of interest for Stock B = 7%

Jim is hoping to earn $2,000 in interest.

To find:

The amount of investments in Stock A and Stock B.

Step-by-step explanation:

Let amount of investments in Stock A = $x

Amount of investments in Stock B = $y

Total amount for investment = $32000

x+y=32000        ...(i)

Rate of interests in Stock A and Stock B are 4% and 7%. Total interests is $2000.

0.04x+0.07y=2000           ...(ii)

From (i) and (ii), we get

0.04x+0.07(32000-x)=2000

0.04x+2240-0.07x=2000

-0.03x=2000-2240

-0.03x=-240

Divide both sides by -0.03.

x=\dfrac{-240}{-0.03}

x=8000

Put x=8000 in (i).

8000+y=32000  

y=32000-8000  

y=24000  

Therefore, the amount of investments in Stock A and Stock B are $8000 and $24000 respectively.

8 0
3 years ago
Draw a double number line to solve the following rate problem.
IgorLugansk [536]
The ratio here is

  3/4 cup milk                                          6 cups milk
--------------------    Now equate this to    -----------------
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Solving this equation, (3/4)x = 6, and x = 8 (eggs)   (answer)


Check:  Note that 3/4    /    1    =   6  /   8
5 0
3 years ago
Read 2 more answers
The product of a number and -7 is 63
Oduvanchick [21]
-7n=63
n=-9 is your final answer. Hope it help!
3 0
3 years ago
How to solve in long division 82.14 divided by 6.
omeli [17]

Answer: 13.69

Step-by-step explanation:

82.14/6=

Multiply 82.14 by 100 to make it a whole number; since you're modifying the number, you must also multiply 6 by 100 in order to keep it balanced.

82.14*100/6*100

8214/600

---------------------------------------------------------------------

Let's begin.

8214/600=13.69

600

----------

221'4

1800

--------

414'0

3600

--------------

540'0

5400

-----------

    -

7 0
3 years ago
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