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-Dominant- [34]
3 years ago
8

The scale of this map is 1 inch = 50 miles. The ruler measures the distance between Gary, Indiana, and Traverse City, Michigan,

as 3 inches. How many actual miles are between these two cities?
Mathematics
1 answer:
levacccp [35]3 years ago
6 0

Answer:

<em>150 miles</em>

Step-by-step explanation:

Given the scale on the map using the conversion factor

1 inch = 50 miles

We are to find the equivalent miles between the cities in miles if the distace is 3inches

3inches = x

Divide both expressions

1/3 = 50/x

Cross multiply

x = 3 * 50

x = 150

<em>Hence the actual distance between these two cities in miles is 150 miles </em>

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Answer:

Randy has eight $5 bills and nine $1 bills

Step-by-step explanation:

Randy needs $50.00

And we know that he his only $1.00 short, so he has $49.00

let's define:

x = number of $1 bills that he has

y = number of $5 bills that he has.

then:

x*$1 + y*$5 = $49

We know that he has one more $1 bills than $5 bills.

we can write this as

x = y + 1

So we have a system of two equations and two variables:

x*$1 + y*$5 = $49

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First we can see that the variable "x" is isolated in the second equation, now we can replace that in the other equation:

x*$1 + y*$5 = $49

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now we can solve this for y.

y*$1 + $1 + y*$5 = $49

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y = $48/$6 = 8

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and we know that:

x = y + 1

x = 8 + 1 = 9

he has 9 $1 bills.

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