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soldi70 [24.7K]
3 years ago
12

Frank and Mary are traveling to the beach which is 520 mi from their home if they travel at an average speed of 65 miles per hou

r and they don't make any stops how long will it take them to get there
Mathematics
1 answer:
Dvinal [7]3 years ago
4 0

Answer:

It will take 8 hours for Frank and Mary to get to the beach

Step-by-step explanation:

Step 1: Give expression for calculating

d=s×t

where;

d=distance traveled i miles

s=speed in miles per hour

t=time in hours

in our case;

d=520 miles

s=65 miles per hour

t=unknown

Step 2: Solve for the unknown, t

In order to solve for t, the expressions can be rearranged as follows ;

t=d/s

replacing values for d and s;

t=520/65

t=8 hours

It will take 8 hours for Frank and Mary to get to the beach

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What is the value of x? 6x−2(x 4)=12
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Observation : No two such factors can be found !! 
Conclusion : Trinomial can not be factored

<span>Equation at the end of step  2  :</span>  6x2 - x - 4 = 0 <span>((2•3x2) - x) - 4 = 0 </span><span>Step  2  :</span>Trying to factor by splitting the middle term

<span> 2.1 </span>    Factoring <span> 6x2-x-4</span> 

The first term is, <span> <span>6x2</span> </span> its coefficient is <span> 6 </span>.
The middle term is, <span> -x </span> its coefficient is <span> -1 </span>.
The last term, "the constant", is <span> -4 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 6</span> • -4 = -24</span> 

Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is  <span> -1 </span>.

<span><span>     -24   +   1   =   -23</span><span>     -12   +   2   =   -10</span><span>     -8   +   3   =   -5</span><span>     -6   +   4   =   -2</span><span>     -4   +   6   =   2</span><span>     -3   +   8   =   5</span><span>     -2   +   12   =   10</span><span>     -1   +   24   =   23
</span></span>

Observation : No two such factors can be found !! 
Conclusion : Trinomial can not be factored

<span>Equation at the end of step  2  :</span><span> 6x2 - x - 4 = 0 </span>

3 0
3 years ago
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