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pav-90 [236]
3 years ago
15

Lourdes plans to jog at least 1.5 miles. Write and solve an inequality to find x, the number of hours that Lourdes will have to

jog..
Mathematics
1 answer:
rusak2 [61]3 years ago
3 0

Answer:

An inequality compares two or more variables by using the <, >, ≤, or ≥ signs.

The number of hours Lourdes will have to jog is 0.4 hours

From the given parameters:

Lourdes plans to jog for at least a distance of 1.5 miles

If Lourdes can jog averagely at the speed of 3.75 mph

Then,

the inequality that can represent the information can be written as:

= 1.5 miles ≤ 3.75 (x) miles/hour

Solving the inequality;

= 1.5 ≤ 3.75 (x)

Making (x) the subject of the formula, we have:

x =  0.4 hours

Therefore, we can conclude that the number of  hours lourdes will have to jog is 0.4 hours

Step-by-step explanation:

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3 years ago
How to solve: a parade traveled 4 miles in 2 hours. how far did tge parade travel per minute?
jek_recluse [69]

There's a really easy way to convert any units to other units.

Right now, we have the fraction  (4 miles) / (2 hours).

We want to find a fraction that's exactly equal to that one,
but has the units of  (miles/minute)  or maybe  (feet/minute).

Just take the original fraction, and multiply it by some other
fractions.

Each fraction you multiply it by must have the value of ' 1 ' so
you don't change the value of the original fraction.  But it can
have different units, that cancel with other units to eventually
give you the units you want.

      (4 miles / 2 hours) times (1 hour / 60 minutes)

The second fraction is equal to ' 1 ', because the top and the bottom
have the same value ...  1 hour is the same thing as  60 minutes.

Multiply the fractions:  (4 miles x 1 hour) / (2 hour x 60 minutes)

Now you can cancel 'hour' from the top and the bottom, and you have

             (4 miles x 1) / (2 x 60 minutes)

               = (4 miles) / (120 minutes) 

               =          (4 / 120) mile/minute = 0.0333... mile / minute .

Let's do it again, go a little farther, and get an answer that
might mean more and feel more like an answer. 

   (4 miles) / (2 hours) x (5280 feet / mile) x (1 hour / 60 minutes)

The 2nd and 3rd fractions both have the value of ' 1 ', because
the top is equal to the bottom. 

Multiply all three fractions: 

     (4 miles x 5280 feet x 1 hour) / (2 hours x 1 mile x 60 minutes)

You can cancel both 'mile' and 'hour' out of the top and bottom,
and look what you have left:

     (4 x 5280 feet x 1) / (2 x 1 x 60 minutes)

  =  (4 x 5280) / (2 x 60)  feet / minutes

  =  (21,120 / 120)  feet/minute   =    176 feet per minute
  
3 0
3 years ago
Read 2 more answers
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