Respuesta :
Answer:
[tex] The\ number\ of\ 8 \frac{1}{4}\ inches\ of\ section\ of\ rope\ be\ 6. [/tex]
Step-by-step explanation:
As given
Mario is setting up a new tent during a camping trip.
The tent came with 7 feet of rope.
As 1 foot = 12 inches
Now convert 7 feet into inches.
7 feet = 7 × 12 inches
= 84 inches
As given
The instructions were to use 34.5 inches of the rope to tie a tarp on top of the tent.
Than
Rope left after tie a tarp on top of the tent = 84 - 34.5
= 49.5 inches
As given
[tex]The\ remaining\ rope\ should\ be\ cut\ into\ 8 \frac{1}{4}\ inch\ sections\ to\ tie\ the\ tent\ to\ stakes\ in\ the\ ground.[/tex]
i.e
[tex]The\ remaining\ rope\ should\ be\ cut\ into\ \frac{33}{4}\ inch\ sections\ to\ tie\ the\ tent\ to\ stakes\ in\ the\ ground.[/tex]
[tex]Let\ us\ assume\ the\ number\ of\ \frac{33}{4}\ inches\ section\ of\ rope\ be\ x.[/tex]
Than the equation becomes
[tex]\frac{33\times x}{4} = 49.5[/tex]
[tex]x = \frac{49.5\times 4}{33}[/tex]
[tex]x = \frac{198}{33}[/tex]
x = 6
Answer:
6
Step-by-step explanation:
Converting 7 ft to inches:
[tex]7*12=84[/tex] inches
- 34.5 inches is used, and remaining is used for [tex]8\frac{1}{4}[/tex] in. sections.
- Let [tex]x[/tex] be the number of [tex]8\frac{1}{4}[/tex] in. sections. ([tex]8\frac{1}{4}[/tex] can be written as 8.25 inches)
We set up the equation as:
[tex]34.5+8.25x=84[/tex]
Now solving for [tex]x[/tex] would give us the number of 8.25 inch sections:
[tex]8.25x=84-34.5\\8.25x=49.5\\x=\frac{49.5}{8.25}=6[/tex]
Hence, Mario can cut 6 (8.25 inch) sections from the rope
