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A 26-kilometer section of a highway is designated as a scenic byway. New signs will be placed at the beginning and end of this section and at every 0.5 km in between. How many new signs are needed?

Answer :

Answer:

[tex]14[/tex] new signs are needed.

Step-by-step explanation:

Given: A [tex]26[/tex]-kilometer section of a highway is designated as a scenic byway. New signs will be placed at the beginning and end of this section and at every [tex]0.5[/tex] Km in between.

To find: How many new signs are needed?

Solution:

We have,

A [tex]26[/tex]-kilometer section of a highway is designated as a scenic byway.

New signs will be placed at the beginning and end of this section and at every [tex]0.5[/tex] Km in between.

So, there are [tex]2[/tex] signs placed, one at the beginning and one at the end.

Now, in between these [tex]2[/tex] signs there will be [tex]\frac{26}{0.5} -1=13-1=12[/tex] signs.

Hence, the total new signs that are needed is [tex]12+2=14[/tex].

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