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MrRa [10]
4 years ago
6

A rectangular prism with a volume of 4 cubic units is filled with cubes with side lengths of 1/3 unit. How many 1/3 unit cubes d

oes it take to fill the prism
Mathematics
1 answer:
Ghella [55]4 years ago
5 0

Answer:

108 cubic units

Step-by-step explanation:

V  = 4 cubic units

v = (1/3)³ = 1/27 cubic units

V/v = 4/(1/27) = 4/1 x 27/1 = 108 cubic units

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The pool at "splash around" is open for 14 weeks during the summer. you can swim for $6 a session, or you can buy a membership f
Ratling [72]

Let

x--------> the number of sessions

y-------> the total payment

we know that

without membership:

y=6x --------> equation 1


with membership:

y=100+4x --------> equation 2

using a graph tool------> resolve the system of equations

see the attached figure

the solution is the point (50,300)

that means

For x=50\ sessions

the cost is \$300 in both forms

so

to justify buying the membership

x > 50\ sessions

therefore

<u>the answer is</u>

x > 50\ sessions


3 0
3 years ago
Read 2 more answers
URGENT! PLEASE HELP.
uysha [10]

Answer: a) BC = 1386.8 ft

b) CD = 565.8 ft

Step-by-step explanation:

Looking at the triangle,

AD = BD + 7600

BD = AD - 7600

Considering triangle BCD, we would apply the the tangent trigonometric ratio.

Tan θ = opposite side/adjacent side. Therefore,

Tan 24 = CD/BD = CD/(AD - 700)

0.445 = CD/(AD - 700)

CD = 0.445(AD - 700)

CD = 0.445AD - 311.5 - - - - - - - -1

Considering triangle ADC,

Tan 16 = CD/AD

CD = ADtan16 = 0.287AD

Substituting CD = 0.287AD into equation 1, it becomes

CD = 0.445AD - 311.5

0.287AD = 0.445AD - 311.5

0.445AD - 0.287AD = 311.5

0.158AD = 311.5

AD = 311.5/0.158

AD = 1971.52

CD = 0.287AD = 0.287 × 1971.52

CD = 565.8 ft

To determine BC, we would apply the Sine trigonometric ratio which is expressed as

Sin θ = opposite side/hypotenuse

Sin 24 = CD/BC

BC = CD/Sin24 = 565.8/0.408

BC = 1386.8 ft

4 0
3 years ago
use elimination to solve. For a production of sweeney Todd in Las Vegas, orchestra seats cost $42 and mezzanine seats cost $25.
lidiya [134]

They bought 8 orchestra seats and 6 mezzanine seats.

Step-by-step explanation:

Cost of one orchestra seat = $42

Cost of one mezzanine seat = $25

No. of people = 14

Amount spent = $486

Let,

x be the number of orchestra seats

y be the number of mezzanine seats

According to given statement;

x+y=14     Eqn 1

42x+25y=486    Eqn 2

Multiplying Eqn 1 by 25;

25(x+y=14)\\25x+25y=350\ \ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2 to eliminate y;

(42x+25y)-(25x+25y)=486-350\\42x+25y-25x-25y=136\\17x=136

Dividing both sides by 17

\frac{17x}{17}=\frac{136}{17}\\x=8

Putting x=8 in Eqn 1

8+y=14\\y=14-8\\y=6

They bought 8 orchestra seats and 6 mezzanine seats.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/11258952
  • brainly.com/question/11343416

#LearnwithBrainly

5 0
3 years ago
What is the least positive integer by which 24 should be divided so that the resulting integer is a perfect square?
Daniel [21]

Answer: divide by 6?

Step-by-step explanation:

What is the least positive integer by which 24 should be divided so that the resulting integer is a perfect square?

If we actually guess and check by dividing by 1, then 2, then 3, then etc. we will get the answer. I tried and divided by 6, which is 4, which is a perfect square. Do not trust me completely on this, for I am not quite sure.

7 0
2 years ago
Multiply and simplify. (4x−7)(x+5)
Solnce55 [7]

Answer:

4x2+13x-35

hope this helps

7 0
2 years ago
Read 2 more answers
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