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LUCKY_DIMON [66]
3 years ago
10

Solve for r 96=84-12r

Mathematics
2 answers:
alexandr1967 [171]3 years ago
7 0
R=-1
Step by step explanation:
DochEvi [55]3 years ago
4 0

Answer:

-1

Step-by-step explanation:

96=84-12r

96-84=-12r

12=-12r

-1=x

x=-1

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In the given figure, find the value of x.​
Korolek [52]

Answer:

x =144

Step-by-step explanation:

A straight line is 180 degrees

x+ x/4 = 180

Change 1 to 4/4 to get a common denominator

4/4x +x/4 = 180

Combine like terms

5/4x = 180

Multiply by 4/5 on each side to isolate x

4/5 * 5/4 =180 * 4/5

x =144

7 0
3 years ago
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Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. Together the
kompoz [17]
When you are looking for the answer in this type of scenario you do.
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3 years ago
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The length of a rectangle is 4 m longer than its width. if the perimeter of the rectangle is 36 m , find its area.
ycow [4]
Answer:   The area of the rectangle is:  " 77 m² " .

__________________________________________________________
Note:  The formula for the area, "A" of a rectangle:

 →  A  =  L  *  w   ;

                 in which:  
     A = "area (of rectangle)" ; [in units of "m² " ; that is:  "square meters" ] ; 
                                     
     L = length = "(4 + w)" {in units of "meters (m)" } ;  
             
     w = width  {in units of "meters (m)" } ; 
_______________________________________________________

So;  " A = L * w " ;  

Substitute the known expression for the "length, L" ;  & rewrite the formula for the given area of OUR area for the rectangle in OUR GIVEN PROBLEM:

              →  A = (4 + w) * w '' ;
______________________________________________________

Note the formula for the perimeter, "P" ; 

 →  P = 2L + 2w  ; 

↔   2L + 2w = P 

 →  2L + 2w  = 36 m ;
_____________________________________________________
We want to find the "area" , "A" :
_____________________________________________________
Using the formula for the "perimeter, "P" (of the rectangle) ; & given that the perimeter is:  "36" (meters) ;  

 →  2L + 2w  = 36 ;

 →  Let us plug in the values for "Length (L)" & "width (w)" ; 

 →  2(w + 4)  + 2w = 36  ; 

So;   (2*w) + (2*4) + 2w = 36 ;  Solve for "w" ;

    →  2w + 8 + 2w = 36 ; 

    → Combine the "like terms" :

         + 2w + 2w = 4w ; 

   →  And rewrite: 

         4w + 8 = 36 ; 

Now, subtract "8" from EACH SIDE of the equation:

         4w + 8 − 8 = 36 <span>− 8 ; 
</span>
to get: 

         4w = 28 ; 

Now, divide EACH SIDE of the equation by "4" ; 
      to isolate "w" on EACH SIDE of the equation ; & to solve for "w" ; 

         4w / 4 = 28 / 4  ; 

           → w = 7 ;   → The "width" of the rectangle is:  " 7 m " .

Now, we can find the "length" of the rectangle:

The length, "L" , of the rectangle = 4 + w = 4 + 7 = 11 .
      
           →  L = 11 .  →  The "length" of the rectangle is:  " 11 m " .
___________________________________________________
 
Now, we can find the area, "A", of the rectangle.

 A = L * w  =  11 m * 7 m  =  " 77 m² " .

  →  The area of the rectangle is:  " 77 m² <span>" .
</span>__________________________________________________

To check our answer:
__________________________________________________
 
→  " P = 2L + 2w "  ; 

Given that "P = 36 m" ; 

Plug in "36 m" (for "P") ; into the equation ;

and plug in our calculated values for
                        "length, L" (which is "11 m") ; & "width, w" (which is "7 m") ; 

to see if the equation holds true ; that is, to see if both sides of the equation are equal ;
_______________________________________________________  

 →  36 m = ?  2L + 2w ?? ;

 →  36 m = ?  2(11 m) + 2(7 m) ?? ; 

 →  36 m = ?  22 m + 14 m ?? ; 

 →  36 m = ?  36 m ?  Yes! 
__________________________________________________
3 0
3 years ago
Calculate the perimeter to the nearest tenth​
fomenos

Answer: the perimeter is 40.9 ft

Step-by-step explanation:

The given figure is a trapezium. It is made up of a rectangle and a right angle triangle.

The perimeter of the trapezium is the distance around the figure. This means that the inner dimensions are not included.

Since the opposite sides of the rectangle are equal, it means that the base of the trapezium would be

10 + 4 = 14 ft

Therefore, the perimeter of the trapezium would be

8 + 10 + 8.9 + 14 = 40.9 ft

6 0
3 years ago
Below are five questions from a survey of MBA students. Answers were written in the blank at the left of each question. For each
Vedmedyk [2.9K]

Complete question :

Q11. What is the age of the car you usually drive? (years).

Q12.) About how many times in the past year did you attend formal religious services?

Q13.) How often do you read a daily newspaper? (0 = Never, I = Occasionally, 2 – Regularly).

Q14.) Can you conduct simple transactions in a language other than English? (0 = No. 1 = Yes).

Q15. How often do you exercise (aerobics, running, etc)? (0 = Not at All. 1 Sometimes. 2 = Regularly)

Answer:

Continous, ratio

Discrete, Ratio

Categorical, ordinal

Categorical, nominal

Categorical, ordinal

Step-by-step explanation:

Continous variables usually do have an infute number of values inbetween consecutive integers while discrete numeric variables take up whole number values and has a finite number of values. The

Categorical variables are used for Qualitative variables which takes up labels rather than numeric values.

The measurement scales include ;

Ratio scale used for quantitative variables with a true zero value (that is 0, means there is no value for the variable at that point, on a ratio scale with height variable = 0 then there is no height for the measured point). it allows for mathematical calculation of data values as it has a fixed distance between point.

The interval scale is similar ot the ratio aside that it does not have a true zero value, the zero point only serves as a reference point.

The nominal scale, when numbers are used to depict Qualitative variables, such that there is no rank or order in the label. If labels are 0 and 1 for each options, then one label is not superior or inferior to the other

Ordinal variables on the other hand have a particular order or rank for the Qualitative data represented with numerical values :

Here : for a scale of 1 - 5 ; the magnitude increases from 1 through 5

5 0
3 years ago
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