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poizon [28]
3 years ago
6

Suppose we have 10 rectangular prisms stacked on top of each other, as shown in the figure. Each one has l = 5 cm, w = 6 cm and

h = 2 cm. What would be the total volume of the rectangular prism if none of the sections were staggered?
A) 60 cm^3
B) 300 cm^3 
C) 450 cm^3
D) 600 cm^3

I put A as my first choice but it was wrong.

PLEASE HELP ME!!!
Mathematics
2 answers:
djyliett [7]3 years ago
6 0
D, there are 10, 60 is the volume for one
nasty-shy [4]3 years ago
5 0

Answer:

D


Step-by-step explanation:

Volume of rectangular prism is given by the formula:

Volume of Rectangular Prism = Length * Width * Height

Thus,

Volume of single rectangular prism = length*width*height\\=5*6*2\\=60

<em>60 is the volume of 1 of these rectangular prisms, so 10 of these would have a volume of  10*60=600</em>


Answer choice D is right.

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Temka [501]

Answer:

= 30

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5 0
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Can someone PLEASE help me?
Mila [183]

Answer:

a

Step-by-step explanation:

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slamgirl [31]
The answer is:  " y = −\frac{5}{4}  x − 4 " .
_________________________________________________________
Explanation:
_________________________________________________________
Given a linear equation in "slope-intercept form" ; that is:

" y = mx + b " ;
________________________________________________
A line that is PARALLEL to the aforementioned equation has the same slope (i.e the same value for "m" ) ; and the given the [x and y coordinates of any particular point] on the parallel line;  " (x₁ , y₁)" ;  we can write the equation of the parallel line—in "slope-intercept format" — by using the following equation/formula:

                     y − y₁ = m(x − x₁<span>)  ;
</span>
in which:  "m = the slope"

and plug in the values for:  "m" ; and "x₁" and "y₁" ; 

We are given the coordinates of a particular point on the line that is parallel:
    " (-4, 1) " ;

as such:  x₁ = -4 ;  y₁ = 1  ;

   & we are given:  "m = − \frac{5}{4}" .
_____________________________________________
So:

               →  y − y₁ = m(x − x₁) ;

               →  y − 1    = − \frac{5}{4} [x − (-4) ] ;

               →  y − 1    = − \frac{5}{4} (x + 4) ;

               →  y − 1    = − \frac{5}{4} (x + 4) ; 

      Now; let us examine the "right-hand side of the equation" ;

We have:     − \frac{5}{4} (x + 4)      ; 
__________________________________________________
Note the "distributive property" of multiplication:__________________________________________a(b + c) = ab + ac ;
a(b – c) = ab – ac .__________________________________________
As such:
__________________________________________
 − \frac{5}{4} * x   +  (− \frac{5}{4} * 4)  ;

   =  − \frac{5}{4} * x  + (− \frac{5}{4} * \frac{4}{1})  ;

 
Note:  Examine the " (− \frac{5}{4} * \frac{4}{1}) " ; 

                →  EACH of the 2 (TWO)  "4's" cancel out to "1"s" ; 
                    { since:  "4 ÷ 4 = 1" } ;

and we can rewrite the:  "(− \frac{5}{4} * \frac{4}{1}) " ; 

as:  " (− \frac{5}{1} * \frac{1}{1}) " ;

Note that:  "{-5 ÷ 1 = -5} ;  and: "{1 ÷ 1 = 1} ;

so, rewrite the:  "" (− \frac{5}{1} * \frac{1}{1}) " ;

as:  "{-5 * 1}" →   which equals:  = " -5"  ;  


So: 

− \frac{5}{4} * x  + (− \frac{5}{4} * \frac{4}{1})  ; 

=  - \frac{5}{4} x + (-5) ; 

=  - \frac{5}{4} x − 5 ;  
______________________________________________
→  Now, bring down the "y −1" ;  which goes on the left hand side; 

→  y − 1 = - \frac{5}{4} x − 5 ;

Add "1" to EACH SIDE of the equation; to isolate "y" as a single variable on the "left-hand side" of the equation ; & to write the equation of the particular parallel line in "slope-intercept format" ;

→  y − 1  + 1  = - \frac{5}{4} x − 5  +  1  ;
_______________________________________________________
to get:
_______________________________________________________
→   "  y = −\frac{5}{4}  x − 4 " .
_______________________________________________________

7 0
3 years ago
Can anybody help me on this
solong [7]

9514 1404 393

Answer:

  a. x = 13/7

  b. j = 3

  c. y = 2

  d. p = 25

Step-by-step explanation:

Here, it is convenient to combine like terms first. When you do that, you see that one side of the equation has a mix of a constant term and a variable term. Choose the term that matches the kind of term present on the other side of the equation (constant or variable), then add its opposite to both sides. Finally, divide by the coefficient of the variable.

__

a. 3x +13 = 10x . . . . combine like terms

  13 = 7x . . . . . . . . . subtract 3x

  13/7 = x . . . . . . . . divide by the coefficient of x

__

b. 10j -20 = 10 . . . . combine like terms

  10j = 30 . . . . . . . . add 20

  j = 3 . . . . . . . . . . . divide by 10

__

c. 6y = 14 -y . . . . . . combine like terms

  7y = 14 . . . . . . . . . add y

  y = 2 . . . . . . . . . . divide by 7

__

d. p + 8 = 33 . . . . . . combine like terms

  p = 25 . . . . . . . . .  add -8

_____

<em>Comment on solving equations</em>

In these "2-step" equations, the first step (after simplifying, combining like terms) is to "separate the variable and constant terms". The basic idea is to determine what term you don't want where it is, then add its opposite to both sides of the equation.

You can do anything you like to the equation, provided you do the same thing to both sides. When we say "subtract 3x," for example, we mean 3x is subtracted from both sides of the equation. This is an example of the use of the addition property of equality.

The same goes for multiplication or division. You can multiply or divide by anything you like, as long as you do the same thing to both sides of the equation. In the above, "divide by 7," for example, means both sides of the equation are divided by 7.

3 0
3 years ago
Which equation is the inverse of 5y+4 = (x+3)^2 +1/2?
maxonik [38]

Answer:

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Explanation:

<u></u>

To simply find the answer, you need to a: solve for y ; b: Find the square root of both sides ; c: solve the equation.

Hope this helps.

7 0
3 years ago
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