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Todd plans to run at least 5 miles each week for his health. has a circular route in the neighborhood to run. Once around that route is 420 yards. If runs that route 30 times during the​ week, will he cover at least 5 ​miles? Explain.

Respuesta :

Answer: Yes

Step-by-step explanation:

Given

Once around park measures 420 yards

Todd needs to complete 5 miles

He runs 30 times during the week

We know, [tex]1\ mile=1760\ yards[/tex]

for 30 rounds, distance is

[tex]\Rightarrow 30\times 420=12,600\ \text{yards}[/tex]

In miles, it is

[tex]\Rightarrow 12,600\equiv \dfrac{12,600}{1760}\\\Rightarrow 7.159\approx 7.16\ \text{miles}[/tex]

As he runs more than the target. Therefore, he completed his target of 5 miles.