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katen-ka-za [31]
3 years ago
9

Evaluate using properties of arithmetic operations. 12∙121∙13÷(26∙11)∙7÷11

Mathematics
1 answer:
Anika [276]3 years ago
8 0

Answer:

0.1978

Step-by-step explanation:

According to the rule of BODMAS (or FEDMAS), let us do the bracket first.

26·11 = 286

Now, do the multiplication from the left.

12·121·3 = 4356

286·7 = 2002

Now, do the division from the left.

\frac{\frac{4356}{2002} }{11}

=\frac{4356}{2002(11)}

=\frac{396}{2002}

= 0.1978



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Write an equation parallel to the line determined by the points (15, -6) and (-3, 13), through: (4, 2)
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Answer:

The answer is

<h2>y =  -  \frac{19}{18} x +  \frac{76}{2}</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

That's

Slope of the through points

(15, -6) and (-3, 13) is

<h3>m =  \frac{13 -  - 6}{ - 3 - 15}  =  -  \frac{19}{18}</h3>

Since the lines are parallel their slope are also the same

So slope of parallel line = - 19/18

Equation of the line using point (4,2) and slope -19/18 is

<h3>y - 2 =  -  \frac{19}{18} (x - 4) \\ y - 2 =  -  \frac{19}{18}  x +  \frac{38}{9}  \\ y =  -  \frac{19}{18} x +  \frac{38}{9}  + 2</h3>

We have the final answer as

<h3>y =  -  \frac{19}{18} x +  \frac{76}{2}</h3>

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7 0
3 years ago
Read 2 more answers
Help asap
ZanzabumX [31]

Your fruit punch recipe can be composed of 4 juice containers of lemonade, 2 juice containers of orange juice, 2 juice containers of grape juice, 2 juice containers of apple juice, 2 juice containers of cranberry juice, and 2 juice containers of pineapple juice.

<h3>Unit conversion</h3>

Unit conversion is a tool very useful to solve some questions. For this exercise, you should know that  1 liter (l) = 1000 milliliters (ml).

The question asks you a design your own fruit punch recipe with exactly 5 liters of punch and includes at least three of the juice.

You have several options, an alternative is to use all juices.

  • Step 1 - Convert the units for each given juice containers

         250 milliliters of lemonade = 0.250 l of lemonade juice

         500 milliliters of orange juice = 0.500 l of orange juice

         250 milliliters of grape juice = 0.250 l of grape juice

         250 milliliters of apple juice= 0.250 l  of apple juice

         500 milliliters of cranberry juice =  0.500 l of cranberry juice

         500 milliliter’s of pineapple juice = 0.500 l of pineapple juice

  • Step 2 -Design your own fruit punch recipe with  exactly 5 liters

 4 juice containers of lemonade = 4* 0.250 l = 1 l of lemonade

 2 juice containers of orange juice= 2* 0.500 l = 1 l of orange juice

2 juice containers of grape juice= 2* 0.250 l = 0.500 l of grape juice

2 juice containers of apple juice= 2* 0.250 l = 0.500 l of apple juice

 2 juice containers of cranberry juice= 2* 0.500 l = 1 l of cranberry juice

 2 juice containers of  pineapple juice= 2* 0.500 l = 1 l pineapple juice

Thus, your own fruit punch recipe is composed of: 4 juice containers of lemonade, 2 juice containers of orange juice, 2 juice containers of grape juice, 2 juice containers of apple juice, 2 juice containers of cranberry juice, and 2 juice containers of pineapple juice.

Read more about the unit conversion for capacity here:

brainly.com/question/14965845

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