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LenaWriter [7]
3 years ago
6

A map has a scale of 5 inches : 12 miles. if two cities are 13 inches apart on the map, what is the actual distance between the

cities, to the nearest
Mathematics
1 answer:
emmasim [6.3K]3 years ago
8 0
Set up a proportion that looks like 5/12 = 13/x with X being the actual distance between the cities if they are 13 inches apart on the map.

Then cross-multiply to get 5x = 156. Divide by 5 to isolate the X and get X = 31.2

The cities are a distance of 31.2 miles apart.

I'm guessing your question cut off where you put to the nearest... and you mean to round to the nearest whole number in which case your answer would be just 31 miles apart. 
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What is the relationship between multiplying and factoring? You multiply numbers or expressions to produce a (select). You facto
ZanzabumX [31]

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Step-by-step explanation:

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6 0
3 years ago
Which monomial is a perfect cube?<br><br> 1x10<br> 8x8<br> 9x9<br> 27x15
horsena [70]
I think the answer is 8x8 please dont judge me if it is wrong.
7 0
3 years ago
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jet skis rent for $25 per hour plus a flat fee of $50. Noel has $200 to spend. what is the maximum value in the domain of this s
Nady [450]

Answer:

$150

Step-by-step explanation:

25x4=100

100+50=150

so she has $50 to spend on other things

i dont know if this is what its asking or how

6 0
3 years ago
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimeters,
tiny-mole [99]

Answer:

Probability that the sample mean would be greater than 141.4 millimetres is 0.3594.

Step-by-step explanation:

We are given that Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimetres, and a standard deviation of 7.

A random sample of 39 steel bolts is selected.

Let \bar X = <u><em>sample mean diameter</em></u>

The z score probability distribution for sample mean is given by;

                            Z  =  \frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} }  } }  ~ N(0,1)

where, \mu = population mean diameter = 141 millimetres

           \sigma = standard deviation = 7 millimetres

           n = sample of steel bolts = 39

Now, Percentage the sample mean would be greater than 141.4 millimetres is given by = P(\bar X > 141.4 millimetres)

      P(\bar X > 141.4) = P( \frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} }  } } > \frac{141.4-141}{\frac{7}{\sqrt{39} }  } } ) = P(Z > 0.36) = 1 - P(Z \leq 0.36)

                                                            = 1 - 0.6406 = <u>0.3594</u>

The above probability is calculated by looking at the value of x = 0.36 in the z table which has an area of 0.6406.

8 0
3 years ago
A 12 1/2 mile stretch of road needs repaving . A company bids on the repaving project saying they could replace 2 1/4 miles of r
Nataly [62]

2 1/4 miles => 1 week

1 mile => 1 ÷ 9/4

( 9/4 is an improper fraction of 2 1/4 )

12 1/2 miles => ( 1 ÷ 9/4 ) × 25/2

= 50/9

= 5 5/9 weeks

( 25/2 is an improper fraction of 12 1/2 )

Therefore, it will take 5 5/9 weeks for the company to replace the stretch of road.

( you can round it off to 6 weeks if the qn specify to give to the nearest whole number )

8 0
3 years ago
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