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Andrews [41]
3 years ago
10

The sides of one cube are twice as long as the sides of a second cube. what is the side length of each cube if the total volume

of the cubes is 72 cm³
Mathematics
1 answer:
gtnhenbr [62]3 years ago
6 0
Side length <span> of a smaller cube = x
</span>volume of a smaller cube = x³

side length  of a larger cube = 2x
volume of a larger cube = (2x)³ = 8x³

x³ + 8x³ = 72
9x³ = 72
x³ = 72/9
x³ = 8
x = ∛8
x = 2 cm  ← side length of a smaller cube

2x = 2*2 = 4 cm ← side length of a larger cube
 
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Aleena has a 1-gallon watering can that is full of water.She uses 3/8gallon to water her roses and 1/3gallon to water her gerani
beks73 [17]

Answer:

The answer to your question is 17/24 gallon

Step-by-step explanation:

Data

total volume = 1 gallon

She uses 3/8 gallon and 1/3 gallon

Process

1.- To find the answer, just sum up the water she used to water her roses and the volume she used to water her geraniums.

            3/8 + 1/3 =

- Look for the Least common factor

   8 x 3 = 24           LCF = 24

- Solve the fraction

           3/8 + 1/3 = (9 + 8) / 24

                          = 17/24

2.- Conclusion

     She used 17/24 gallon to water her flowers.

8 0
4 years ago
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2a+3b=5 b=a-5 what’s the answer
Leno4ka [110]

Answer:

u might need to reword that buddy

Step-by-step explanation:

7 0
3 years ago
The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 3408 miles, with a variance
Murrr4er [49]

Answer:

The probability that the mean of a sample of 36 cars would be less than 3245 miles

P(X⁻≤3245) = 0.975

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

The mean number of miles between services

                   μ= 3408 miles  

The Variance of miles between services

                σ² = 249,001

                σ = √249,001 = 499

Let 'X' be a random variable in a normal distribution

Given sample size 'n' =36

<u><em>Step(ii):</em></u>-

           Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }

          Z = -163/83.16 = 1.96

The probability that the mean of a sample of 36 cars would be less than 3245 miles

P(X⁻≤3245)  =   P(Z≤1.96)

                   =   0.5 + A(1.96)

                   =  0.5 + 0.4750

                  =   0.975

<u><em>Final answer</em></u>:-

The probability that the mean of a sample of 36 cars would be less than 3245 miles

P(X⁻≤3245) =0.975

           

         

         

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Choose the equation that best represents the general form of the following expression.
Nuetrik [128]
Here is how we get the equation that best represents the general form of the given expression above.
Since we have a fraction, what we are going to do in order to eliminate it is to multiply both sides by 2.  So this gives us x^2 = 14x.
Move 14x, and the final form would be x^2 -14x = 0.
Hope this is the answer that you are looking for. 
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4 years ago
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