Step-by-step explanation:
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Answer:
Our required integers will be 9,11,19.
Step-by-step explanation:
Let three integers all less than 25 be x,y,z
Since we have given that
Range = 10
Mean = 13
These three integers will be
Since their range is 10 i.e.
And Mean = 13
Answer:
Step-by-step explanation:
Matrix'is determinat:
X1 Y1
X2 Y2
D=(X1*Y2) - (X2*Y1)
D=(3X-4) - (-3*4)
D=0
Determinant of X
I 1 Y1
I 2 Y2
DX=( I 1 *Y2) - ( I 2*Y1)
DX= (14* -4) - (-14*4)
DX=0
Determinant of Y
X1 I 1
X2 I 2
DY= (X1 * I2) - (X2* I1)
DY=(3X-14) - (-3*14)
DY=0
The result of the variables are solved by:
X=DX/D.... Y=DY/D
X=0/0 Y=0/0
X=NaN Y=NaN
Answer:
well the shape is acute so it will be quite low work out the opposite angles and you will find out that the lines are parallels there for meaning the answer is the lowest angle
Step-by-step explanation:
For the mix you need 60 Ib of nuts and raisins, and 60 lb of mix will sell for $300.
Let <em>x</em> be the weight of nuts and <em>y</em> the weight of raisins needed for the mix.
Total weight = <em>x</em>+<em>y</em> = 60, so <em>y</em> = 60 - <em>x</em>
Total value = 6<em>x</em> + 3<em>y</em> = 300. From the above, we can substitute the <em>y</em> for 60 - x:
Total value = 6<em>x</em> + 3(60 - <em>x</em>) = 300, which we can simplify to:
6<em>x</em> + 180 - 3<em>x</em> = 300, and simplify again to:
3<em>x</em> = 120, and again to:
<em>x</em> = 40. We can now calculate<em> y</em> from the first equation y = 60 - <em>x</em>, so:
y = 20.
40 lb of nuts and 20 lb of raisins. Check:
40 lb x $6/lb = $240, and 20 lb x $3/lb = $60, $240 + $60 = $300.
