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iren [92.7K]
4 years ago
11

Suppose you have two similar rectangular prisms. The volume of the smaller rectangular prism is 343 in^3 and the volume of the l

arger rectangular prism is 1,000 in^3. What is the scale factor of the smaller figure to the larger figure?
3:5
1:3
7:10
18:25
Mathematics
1 answer:
Mila [183]4 years ago
5 0
In this item, we get the ratio of the volume of the smaller figure to the larger figure. That is,
                             volume of smaller figure: volume of larger figure
                                       343:1000
Then, we get the cube root of the ratio,
                                        7:10

Thus, the answer is the third choice. 
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What is the answer??????
dexar [7]

Answer:

38 5/28

Step-by-step explanation:

Well start with the whole numbers 24 and 13 This is adding so that means everything has to be added together. 13+24=37 Now, lets go the fractions.

Find the LCD (Least Common Denominator)  of 3/4 and 3/7 and rewrite to solve with the equivalent fractions. (remember the Denominator is the BOTTOM PART of the Fraction. Such as the 4 in 3/4.)  

LCD = 28

21/28 + 12/28 = 33/28 which can be simplified to 1 5/28. Combining the whole and fraction parts 37 + 1 + 5/28 = 38 5/28 And that will be your answer. Another way you can do this is

converting mixed numbers to fractions Meaning put them in improper form where the numerator (the top number of a fraction is bigger than the denominator such as 4/3) , our initial equation becomes, 99/4 + 94/7

Applying the fractions formula for addition,

(99×7) + (94×4) / 4×7

= 693+376 / 28 =  

= 1069/ 28

Simplifying 1069/28, the answer is

= 38 5/28

And one more thing. An easier way to make a mixed number a improper fraction is the multiply the denominator by the whole number then add the numerator and whatever the denominator is it stays for example

38 5/28.

28 times 38 = 1064 then add the 5 and you get 1069! But we aren't done yet, the denominator was 28 so that means the full answer is 1069/28 and that is the Improper fraction form!

Hope this helps! (sorry I took so long)

~R.C aka dj

 

6 0
3 years ago
A recent survey was conducted to compare the cost of solar energy to the cost of gas or electric energy. Results of the survey r
Ganezh [65]

Answer:

A. Homes using solar power always have lower utility bills than homes using only gas and electricity.

Step-by-step explanation:

Gas and Electricity

\bar x = 93

\sigma = 11

Solar

Bills: 56, 54 and 51

Required

Determine which of the statements is true

First, we calculate the mean of the given data

\bar x = \frac{\sum x}{n}

\bar x = \frac{56 + 54 + 51}{3}

\bar x = \frac{161}{3}

\bar x = 53.67

Then, the standard deviation

\sigma = \sqrt{\frac{\sum(x - x_i)^2}{n}}

\sigma = \sqrt{\frac{(56 - 53.67)^2 + (54 - 53.67)^2 + (51 - 53.67)^2}{3}}

\sigma = \sqrt{\frac{12.67}{3}}

\sigma = \sqrt{4.223}

\sigma = 2.05

So, we have:

Gas or Electricity

\bar x = 93

\sigma = 11

Solar

\bar x = 53.67

\sigma = 2.05

By comparison.

<em>The mean and standard deviation of homes using solar panel is less than home using gas and electricity.</em>

<em>This implies that: (a) is true.</em>

5 0
3 years ago
ONLY ANSWER IF YOU KNOW THE ANSWER!!
rodikova [14]

Answer:

1.5+1.5= 3 hours

Step-by-step explanation:

if you take 1.5 hours two times it will get you 3 hours. so it will be 3 hours in the water if the boat goes 24 miles. hope this helps.

4 0
3 years ago
PLEASE HELP WILL GIVE BRAINLIEST
Mars2501 [29]

Answer:

f(-2)=4+6+2

f(-2)=12

Step-by-step explanation:

Add -2 where all the x values are then solve

4 0
3 years ago
In the arithmetic sequence {13, 6,-1,-8,...}, what is the common difference?
guapka [62]
<h3>Answer:  -7</h3>

Explanation:

Pick any term. Subtract off the previous one to find the common difference.

  • term2 - term1 = 6-13 = -7
  • term3 - term2 = -1-6 = -7
  • term4 - term3 = -8-(-1) = -8+1 = -7

And so on. You only need to pick one of those to show as your steps to your teacher. However, doing all three subtractions is a good way to get practice in seeing how we have an arithmetic sequence. The common difference must be the same each time.

We subtract 7 from each term to get the next term, i.e. we add -7 to each term to get the next one.

6 0
2 years ago
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