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Roman55 [17]
3 years ago
15

what should be done to both sides of the equation in order to solve 1/3 x = 4? multiply by 4, divide by 4, multiply by 1/3, divi

de by 1/3
Mathematics
1 answer:
noname [10]3 years ago
8 0

Answer:

Divide 1/3

Step-by-step explanation:

To get rid of the 1/3 fraction on x, we want to multiply by 3 or divide by 1/3

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If one basket contains five bottles each weighing 7 1/4 ANSYS and the other basket has six apples each weighing 6 1/2 ounces woo
Tems11 [23]

<em>Question:</em>

<em>If one basket contains five bottles each weighing 7 1/4 and the other basket has six apples each weighing 6 1/2 ounces. Which basket is heavier and by how much ?</em>

Answer:

The basket of bottles weighs more than the basket of apples by 3\frac{3}{4} ounces

Step-by-step explanation:

Given

Bottles = 5

Weight(Bottle) = 7\frac{1}{4}

Apples = 6

Weight(Apple) = 6\frac{1}{2}

Required

Determine which basket is heavy

and by how much?

First, we need the total weight of each basket.

For the bottles' basket

Total\ Weight = Weight * Bottles

Total\ Weight = 7\frac{1}{4} * 5

Total\ Weight = \frac{29}{4} * 5

Total\ Weight = \frac{29 * 5}{4}

Total\ Weight = \frac{145}{4}

Total\ Weight = 36\frac{1}{4}

For the bottles' basket

Total\ Weight = Weight * Apples

Total\ Weight = 6\frac{1}{2} * 5

Total\ Weight = \frac{13}{2} * 5

Total\ Weight = \frac{13* 5}{2}

Total\ Weight = \frac{65}{2}

Total\ Weight = 32\frac{1}{2}

By comparing both total weights, 36\frac{1}{4} > 32\frac{1}{2}

Hence:

The basket of bottles weighs more than the basket of apples

Calculating the difference:

Difference = 36\frac{1}{4} - 32\frac{1}{2}

Difference = \frac{145}{4} - \frac{65}{2}

Difference = \frac{145 - 130}{4}

Difference = \frac{15}{4}

Difference = 3\frac{3}{4}

Hence:

It weighs more by 3\frac{3}{4} ounces

8 0
3 years ago
4 7/8 in decimal form
e-lub [12.9K]

Answer:

4.875?

convert it into an improper fraction

7 0
3 years ago
The length and width of a rectangle are in a 7:2 ratio. Find the width of the perimeter is 72.
scoray [572]
<span>length = 7x
</span><span>width = 2x

2(7x + 2x) = 72
7x + 2x = 72/2
9x = 36
x = 36/9
x = 4
</span>
width = 2x = 2 * 4 = 8 units<span>


</span>
7 0
3 years ago
What is the inverse equation of the function, y = 3x - 6?
algol [13]
The best answer (and only correct answer) among the answer choices given is:
________________________________________________
                    [C]:    y⁻¹ = (x+6) / 3  .
_________________________________________________
Explanation:
__________________________________________________
 Given the original function:  y = 3x - 6 ;
_________________________________________________
To find the "inverse equation" of said function; we change the "x" to a y"; and the "y" to an "x"; and rewrite:
_________________________________________________
x = 3y <span>− 6 ; 

Now, rewrite in "slope-intercept form" ; or y = mx + b ;
     that is, with y as "single, isolated" variable on the left-hand side of the equation (with an "implied coefficient of positive one", only);  then an "equal sign, then "mx + b" ; in which: "m" is the coefficient of the variable, "x"; and in which "m" refers to the "slope";  and "b" refers to the 'y-intercept".
_____________________________________
So,we have the inverse function: 
____ </span>_________________________________________________
      x = 3y − 6  ;  we want to write in slope-intercept form; 
__________________________________________________
Add   "6" to each side of the equation:
__________________________________
     x + 6 = 3y − 6 + 6 ; 
__________________________________
 x + 6 = 3y ;  
________________________
 ↔ Rewrite as:   3y = x + 6 ; 
________________________________________
 Divide EACH side of the equation by "3" ; to isolate "y" one side of the equation; specifically, the left-hand side of equation; and to write in "slope-intercept form:
______________________________
              3y / 3 = (x + 6) / 3  ;
______________________________
   to get:
______________________________
                  y = (x + 6) / 3 ; 
_________________________________
                 y = (x/3)  + (6/3) ;
____________________________________
                y = (x/3 ) + 2 ;
___________________________________
or;  write as: y = (1/3)x + 2 ;
________________________________________
Now, let us examine the answer choices given:
__________________________________________
Note that all the answer choices begin with "y-1" ;
    (except "answer choice: [B]" , which begins with "x-1").  This seems confusing; however, in reality, this does not mean, "y minus 1"; or "x minus 1".  Rather, it mean y⁻¹  or x⁻¹  as notation for the "inverse" (not to be confused with the exponent notation.  The confusion stems from the fact that it can be difficult to make such notations on the "Brainly" system.
__________________________________________________
That being said, we can write the aforementioned "rewritten equations" (see above in THIS VERY ANSWER) as:
_____________________________________
y⁻¹ = (x + 6) / 3 ; 
_________________________________
                 y⁻¹ = (x/3)  + (6/3) ;
____________________________________
                y⁻¹ = (x/3 ) + 2 ;
___________________________________
or;  write as: y⁻¹ = (1/3)x + 2 
___________________________________
That being said:
_________________________________________
The best answer (and only correct answer) among the answer choices given is:  Answer choice: [C]:  y⁻¹ = (x+6) / 3  .
____________________________________________________
6 0
3 years ago
What is the mathematical formula for finding the volume of a pyramid
Marta_Voda [28]
Volume of a pyramid= 1/2 * base area * height 
3 0
3 years ago
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