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Crazy boy [7]
2 years ago
12

Please help me with this #5

Mathematics
1 answer:
shepuryov [24]2 years ago
8 0

\text{Given that,}\\\\a_1 = 10~ \text{ and}~ a_n = a_{n-1} -4~\text{for}~ n\geq 2\\\\a_2 = a_{2-1} -4 = a_1 -4 = 10 -4 = 6\\\\a_3 = a_{3-1} - 4=a_2 -4 = 6 -4  =2\\\\a_4 = a_{4-1} -4 = a_3 -4 = 2 -4 = -2\\\\\text{The first four terms are:}~ 10,~ 6,~ 2~, -2

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Tony separates a number of paintbrushes, x, into 3 equally sized groups. He claims that this is the same as making a group 1/3 t
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Answer:

Size of each group = \frac{x}{3}

Step-by-step explanation:

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Since each the three groups are equally sized, to get the number of paintbrushes in a group, we will have to divide the total number of paint brushes by 3

∴ We have, number of paint brushes in a group = \frac{Total number of paintbrushes}{3}\\

= \frac{x}{3}

this is also the same thing as saying \frac{1}{3}×\frac{x}{1}

This shows that the size of the new group is the same as \frac{1}{3} the size of the original group

4 0
3 years ago
If 4/5 of a population of a certain town is considered to be middle class and the population of the town is 2000 how many people
const2013 [10]
First, you would need to create an equation for this problem.
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Next, you would cross multiply. 
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8 0
3 years ago
A black bean soup recipe calls for 2 cups of black beans for every 1.5 cups of water. If you plan on doubling the recipe what is
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The figure below is a right rectangular prism. which expression represents the volume of the prism?
Leviafan [203]

Answer: The expression (equation/formula) for the volume of a:  

     " right rectangular prism " ;   is represented by:

____________________________________________________

                    →   " V  =  L * w * h  "   ;

____________________________________________________

in which:   all the dimensions are in the same "units of measurement" (or converted to the same "units of measurement" ;  

and in which:

      " V " is the "volume" of the right rectangular prism; in the "cubic units" ; or written as:  "units³ "  ;  or, [insert the particular units used}^ ³  "   ;

  →  that is, [units] raised to the "3rd [third] power" ; assuming these units are the same  same "fundamental units of measurement"  as the "other 2 (two) values in the expression".  

    If we are given no specific units of measurement whatsoever, then we use the generic term, "units" as the "units of measurement" ; and we express the "volume; "V" ;  of a "right rectangular prism" as:  " units ³ " ; or "cubic units" ;

        in our answer— if we are asked to solve for the:

                     "volume; "V";  of a "right rectangular prism" ;

_________________________________________________

and in which:  

            "L" represents the "length" of a "right rectangular prism" ;

            "w" represents the "width" of a "right rectangular prism" ;

            "h" represents the "height" of a "right rectangular prism" .

_________________________________________________

To given an example:

  Say we have a "right rectangular prism" ; with the given measurements:

    width , "w" :   w = 2 units;  

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_________________________________________________

We are asked to "find the volume " ;  of this "right recentangular prism" .

The formula for the volume;  "V" ;  of this "right rectangular prism" ;

is:

_________________________________________________

          →    Volume  =  Length * width * height ;

that is:

          →    V =  L  * w * h  ;  

Solve for the volume;  "V" .

_________________________________________________

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                    =  48 units ³ .    

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Hope this answer— and explanation—is helpful to you!

     Wishing you the best in your academic pursuits

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3 years ago
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