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aleksandr82 [10.1K]
3 years ago
10

Doug lives 7. Block away from his school . Each block is about 265 feet long. What is total round-trip dostance,in miles that Do

ug walks to and from school each day ? A0.35, B0.7, C0.5 , D 0.03
Mathematics
1 answer:
olga_2 [115]3 years ago
5 0

Answer:

B : 0.7

Step-by-step explanation:

Given:

Doug lives 7. Block away from his school.

Each block is about 265 feet long.

Question asked:

What is total round-trip distance,in miles that Doug walks to and from school each day ?

Solution:

Each block is about = 265 feet

7 Block = 265\times7 = 1855 \ feet

As he lives 7 block away from his school that means his round trip distance is,

7 block ( travel during going to school ) + 7 block ( when return from school )

<em>Therefore, his total round trip is 14 block, means 1855 feet + 1855 feet = 3710 feet.</em>

Now, we have to convert it into miles as here asked: (unitary method)

5280 feet = 1 mile

1 feet = \frac{1}{5280}

3710 feet = \frac{1}{5280}\times3710

               = \frac{3710}{5280} = 0.7 \ miles

Thus, total round-trip distance,in miles that Doug walks to and from school each day is 0.7 miles.

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A certain triangle has a perimeter of 3084 mi. The shortest side measures 76 mi less than the middle side, and the longest side
kari74 [83]

shortest side: 851

middle side:927

longest side : 1306

Explanation

Step 1

Let

x represents the shortest side

y represents the middle side

z represents the longest side

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\begin{gathered} \text{Perimeter= side1+side2+side3} \\ replace \\ 3084=x+y+z \\ x+y+z=3084\Rightarrow\text{ Equation(1)} \end{gathered}

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\begin{gathered} x+y+z=3084\Rightarrow\text{ Equation(1)} \\ (y-76)+y+(y+379)=3084 \\ -76+3y+379=3084 \\ 303+3y=3084 \\ 3y=3084-303 \\  \\ 3y=2781 \\ \text{divide both sides by 3} \\ \frac{3y}{3}=\frac{2781}{3} \\ y=927 \end{gathered}

now, replace the y value in equatino (2) to find x

b)

\begin{gathered} x=y-76\Rightarrow equation(2) \\ x=927-76 \\ x=851 \end{gathered}

c) finally, prelace x and y value in equation (1) to find z

\begin{gathered} x+y+z=3084\Rightarrow\text{ Equation(1)} \\ 851+927+z=3084 \\ \text{add like terms} \\ 1778+z=3084 \\ \text{subtract 1778 in both sides} \\ 1778+z-1778=3084-1778 \\ z=1306 \end{gathered}

so

shortest side: 851

middle side:927

longest side : 1306

I hope this helps you

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