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USPshnik [31]
3 years ago
9

Calculate the unit rate:write your answer as a decimal 1/2 mile in ever 1/3 hour​

Mathematics
1 answer:
Alexandra [31]3 years ago
7 0

Answer:

unit \: rate =  \frac{distance}{time}

unit rate is similar to speed / velocity:

unit \: rate =  \frac{ (\frac{1}{2} )}{ (\frac{1}{3})} \\  \\  =  \frac{1}{2}  \div  \frac{1}{3}  \\  \\  =  \frac{1}{2}  \times  \frac{3}{1}  \\  \\  = >  { \boxed{ \boxed{unit \: rate  =   \frac{3}{2}  \: miles \: per \: hour}}}

[<em>unit</em><em> </em><em>rate</em><em> </em><em>must</em><em> </em><em>have</em><em> </em><em>units</em><em> </em><em>including</em><em> </em><em>per</em><em> </em><em><</em><em>time</em><em>></em><em> </em>]

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The number a exceeds the number b by 50 percent. By what percent is the number b smaller than the number a?
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Answer:

   33 1/3 percent smaller

Step-by-step explanation:


The number a exceeds the number b by 50 percent.

a = b + b*.5

a = b(1.5)

Divide by 1.5

a/1.5 = b

2/3a =b



We want to find (a-b)/a  to find the percent decrease

                           (a-2/3a)/a *100percent

                             (1/3a)/a* 100 percent

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Section 5.2-9. Solve the following system of equations by substitution or elimination. Enter your answer as (x,y).2x+y = 2-3x-2y
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shutvik [7]

Answer:

A.

Step-by-step explanation:

Take a look at what happens when squaring either of these...

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Notice a couple of patterns.

1.  The last term has a positive coefficient.  That rules out answer choices C and D.

2.  The coefficient of the middle term is either +2ab \text{ or } -2ab .  So what are <em>a</em>  and <em>b</em>?  <em>a</em> is the square root of the x^2 term and <em>b</em> is the square root of the y^2 term.

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The middle coefficient needs to be either +30 or -30.  The answer is choice A.

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