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Cerrena [4.2K]
2 years ago
7

Alison walks 2/5 mile from her house to the mailbox. Then she walks 1/3 mile to the bus stop. What is the total distance Alison

walks
Mathematics
1 answer:
stealth61 [152]2 years ago
7 0

Answer:

Total distance:

  • d=11/15 miles or 0.73 miles          

Step-by-step explanation:

  • Alison walks 2/5 miles from her house to the mailbox.
  • Then she walks 1/3 mile to the bus stop.

Thus, the total distance can be calculated by adding the miles

i.e.

d=\:\frac{2}{5}+\frac{1}{3}

LCM of 5,3 is 15

   =\frac{6}{15}+\frac{5}{15}

\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}

  =\frac{6+5}{15}    

  =\frac{11}{15}

   =\:0.73  miles

Thus,

Total distance:

  • d=11/15 miles or 0.73 miles                        
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If p is directly proportional to q, and p=9 when q=7.5, find q when p=24.
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<h3>Solution and Explanation:</h3>

If p and q are directly proportional, then they must have a common scalar.

To find q we must first find its scalar. If we let a be the scalar we can form the equation, ap = q.

We are given the information that if q = 7.5 then p = 9. We can use that in finding the scalar.

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Now we can solve for q when p = 24 knowing that our scalar is \frac{15}{18}\\.

ap = q \\ \frac{15}{18} \times 24 = q \\ \frac{360}{18} = q \\ 20 = q

<h3>Answer:</h3>

q = 20 when p = 24

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