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Arturiano [62]
3 years ago
7

The highway from Stonestown to Budley passes through Henton, as shown in the map below.

Mathematics
1 answer:
Minchanka [31]3 years ago
4 0

Answer:

C. 1 inch = 23 miles

Step-by-step explanation:

To find the scale, add the scale distances shown first.

2.25 + 1.75 = 4 inches on the map

Now, divide the actual mileage (92 miles) by how long it was on the map.

92 / 4

92 = 80 + 12

92/4 = (80/4) + (12/4)

92/4 = 20 + 3

92/4 = 23 miles

That means 1 inch on this map is actually 23 miles. So the scale of the map is 1 inch = 23 miles, which is C.

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Step-by-step explanation:

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3 years ago
The ratio of dimes to quarters in a money bag is 2:14. if the total numbers of coins is 48, how many quarters are there?
Bess [88]

Answer:

There are 42 quarters (and 6 dimes).

Step-by-step explanation:

The given ratio is 2:14.  But this does not tell us how many dimes nor how many quarters we have.  Instead, it's a ratio.  Modify this by multiplying numerator and denominator by n and then find n:

Number of dimes        2n

----------------------------- = -----

Number of quarters     14n

Then the total number of coins is 2n + 14n =48, implying that:

16n = 48, or n = 3.

Then the number of dimes is 2(n) = 2(3) = 6, and that of quarters is 14(n) =

14(3) = 42.

There are 42 quarters (and 6 dimes).  Notice how the total of 42 and 6 is 48.

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The 100th term of 9​, 93​, 95​, 97​, ...
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Step-by-step explanation:

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2 years ago
What is the fraction in simplest form?
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Colby is making a home video consisting of a 5-minute introduction followed by several short skits. Each skit is 6 minutes long.
givi [52]
<h2>Hello!</h2>

The answer is: There are a total of 16 skits in the video.

<h2>Why?</h2>

From the statement, we know that the total length of the video is 101 minutes and it contains a 5-minute introduction, the rest of the minutes are short skits (which are 6 minutes long each one).

So, we need to write the following equations:

First equation:

TotalDuration=Introduction+n*Skit

Second equation:

Skit=6Minutes

Where,

TotalDuration=101Minutes\\Introduction=5Minutes\\n=NumberOfSkits\\Skit=6Minutes

So, replacing and substituting the second equation into the first equation we have:

101Minutes=5Minutes+n*6Minutes\\n*6Minutes=101Minutes-5Minutes\\n*6Minutes=96Minutes\\n=\frac{96Minutes}{6Minutes}=16

So, there are a total of 16 skits in the video.

Let's prove it substituting "n" into the first equation:

101Minutes=5Minutes+16*6minutes\\101Minutes=5Minutes+96Minutes\\101Minutes=101Minutes

Have a nice day!

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3 years ago
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