Y = 4x + 3 y = -x - 2 solving system by graphing

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Naya [18.7K]

I did the work for you but the answer would be 1 second

5 0

3 years ago

Suppose the height of the pyramid is 20 yards. What is the pyramid's volume?

DedPeter [7]

Answer : The correct option is, (B) 1500 cubic yards.

Step-by-step explanation :

Formula used to calculate the volume of square pyramid is:

$V=\frac{a^2\times h}{3}$

where,

V = volume of pyramid

a = base edge of pyramid

h = height of pyramid

Given:

Base edge of pyramid = 15 yards

Height of pyramid = 20 yards

Now putting all the given values in the above formula, we get:

$V=\frac{a^2\times h}{3}$

$V=\frac{(15\text{ yrads})^2\times (20\text{ yards})}{3}$

$V=1500\text{ yards}^3$

Therefore, the volume of pyramid is 1500 cubic yards.

5 0

3 years ago

Helpppppppppppppp plzzzzzzz helpppppp

borishaifa [10]

180 degrees= a whole line
180-102=78
So m13 should equal 78°

5 0

3 years ago

The sum of two numbers is 47 and the difference is 25 . what are the numbers?

taurus [48]

The numbers are: 36 and 11 .
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Explanation:
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Let us represent the TWO (2) numbers with the variables;
         "x" and "y" .
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     x + y = 47 .

     y − x = 25.
__________________________________________
Since: " y − x = 25 " ;

Solve for "y" in terms of "x" ;

y − x = 25 ;

Add "x" to each side of the equation:
_____________________________________________
   y − x + x = 25 + x ;

to get:

   y = 25 + x .

Now, since:

x + y = 47 ;

Plug in "(25 + x)" as a substitution for "y"; to solve for "x" :

x + (25 + x) = 47 ;

x + 25 + x + 47 ;

2x + 25 = 47 ;

Subtract "25" from each side of the equation:

2x + 25 − 25 = 47 − 25 ;

2x = 22 ;

Divide EACH SIDE of the equation by "2" ;
to isolate "x" on one side of the equation; and to solve for "x" ;

2x / 2 = 22 / 2 ;

    x = 11 ;
______________________________________________
x + y = 47<span> ;

</span>Plug in "11" for "x" into the equation ; to solve for "y" ;

11 + y = 47 ;

Subtract "11" from EACH SIDE of the equation;
to isolate "y" on one side of the equation; and to solve for "y" ;

11 + y − 11 = 47 − 11 ;

            y = 36 .
___________________________________________
So: x = 11 , y = 36 ;
___________________________________________
Let us check our work:

y − x = 25 ;

36 − 11 =? 25 ? Yes!

x + y = 47 ;

36 + 11 =? 47 ? Yes!
______________________________________________
The numbers are: 36 and 11 .
______________________________________________

5 0

3 years ago

One thousand tonnes (1000 t, one t equals 10 cubed kg) of sand contains about a trillion (10 super 12) grains of sand. How many

Phantasy [73]

Answer with Step-by-step explanation:

Since 1 mole of sand will contain Avagadro's Number of sand particles (by definition of 1 mole)

Thus we have

1 mole of sand = $6.022\times 10^{23}$ sand particles

Thus in number of trillion sand particles we have no of trillion sand particles in 12 mole is

$\frac{6.022\times 10^{23}}{10^{12}}=6.022\times 10^{11}$

Now since it is given that mass of 1 trillion sand particles is 1000 tonnes Thus the mass of $6.022\times 10^{11}$ trillion sand particles is

$Mass=1000\times 6.022\times 10^{11}=6.022\times 10^{14}tonnes$

Part 2)

Since it is given that volume of 1 sand particle is $1.0mm^{3}$ thus the volume of 1 mole of sand is volume of $6.022\times 10^{23}$ sand particles

Thus volume of 1 mole is $V=1.00\times 10^{-18}km^{3}\times 6.022\times 10^{23}=6.022\times 10^{5}km^{3}$

Now since the Area of united states is $A=3.6\times 10^{6}mile^{2}=5.8\times 10^{6}km^{2}$

Thus the depth of the sand pile is

$Depth=\frac{Volume}{Area}=\frac{6.022\times 10^5}{5.8\times 10^6}=0.10387km=103.8meters$

4 0

3 years ago

Y = 4x + 3 y = -x - 2 solving system by graphing​

Y = 4x + 3 y = -x - 2 solving system by graphing