Answer:
![Length=8inches\\Width=7.5 inches](https://tex.z-dn.net/?f=Length%3D8inches%5C%5CWidth%3D7.5%20inches)
Step-by-step explanation:
Let the width of the rectangle be 'w' inches
Length of the rectangle= (2w-7) inches
Area of the rectangle= ![60 inches^2](https://tex.z-dn.net/?f=60%20inches%5E2)
Area of the rectangle= Length*Width
![60=(2w-7)(w)\\\\60=2w^2-7w\\\\2w^2-7w-60=0](https://tex.z-dn.net/?f=60%3D%282w-7%29%28w%29%5C%5C%5C%5C60%3D2w%5E2-7w%5C%5C%5C%5C2w%5E2-7w-60%3D0)
Making the factors of the equation:
![2w^2+8w-15w-60=0\\\\](https://tex.z-dn.net/?f=2w%5E2%2B8w-15w-60%3D0%5C%5C%5C%5C)
Taking common from the equation;
![2w(w+4)-15(w+4)=0\\\\(w+4)(2w-15)=0](https://tex.z-dn.net/?f=2w%28w%2B4%29-15%28w%2B4%29%3D0%5C%5C%5C%5C%28w%2B4%29%282w-15%29%3D0)
![w+4=0\\\\w=-4](https://tex.z-dn.net/?f=w%2B4%3D0%5C%5C%5C%5Cw%3D-4)
OR
![2w-15=0\\2w=15\\w=15/2\\w=7.5inches](https://tex.z-dn.net/?f=2w-15%3D0%5C%5C2w%3D15%5C%5Cw%3D15%2F2%5C%5Cw%3D7.5inches)
As the width of the rectangle cannot be negative, so,
![Width(w)= 7.5 inches](https://tex.z-dn.net/?f=Width%28w%29%3D%207.5%20inches)
![Length=2w-7=2(7.5)-7=15-7=8 inches](https://tex.z-dn.net/?f=Length%3D2w-7%3D2%287.5%29-7%3D15-7%3D8%20inches)
![Length=8inches\\Width=7.5 inches](https://tex.z-dn.net/?f=Length%3D8inches%5C%5CWidth%3D7.5%20inches)
Answer:
x=1
y=−2
z=5
(heres how i got the answer)
Step-by-step explanation:
x+2y+3z=12
x−3y+4z=27
−x+y+2z=7
Solve x+2y+3z=12 for x.
x=−2y−3z+12
Substitute −2y−3z+12 for x in the second and third equation.
−2y−3z+12−3y+4z=27
−(−2y−3z+12)+y+2z=7
Solve equations for y and z respectively.
y=−3+
5
1
z
z=
5
19
−
5
3
y
Substitute −3+
5
1
z for y in the equation z=
5
19
−
5
3
y.
z=
5
19
−
5
3
(−3+
5
1
z)
Solve z=
5
19
−
5
3
(−3+
5
1
z) for z.
z=5
Substitute 5 for z in the equation y=−3+
5
1
z.
y=−3+
5
1
×5
Calculate y from y=−3+
5
1
×5.
y=−2
Substitute −2 for y and 5 for z in the equation x=−2y−3z+12.
x=−2(−2)−3×5+12
Calculate x from x=−2(−2)−3×5+12.
x=1
The system is now solved.
x=1
y=−2
z=5
The publisher sold 1000 times as many as scientific book than the mystery book.
<h3>How to find the number of times scientific books sale than the mystery books?</h3>
The publisher sells 10⁶ of a new science fiction book and 10³ copies of a new mystery book.
Therefore, let's convert the sales to an integer.
sales of the new science fiction book = 10⁶ = 1000000
sales of the new mystery book = 10³ = 1000
Hence, the number of many scientific books sold than the mystery books can be calculated as follows:
Therefore,
number of scientific books sold than the mystery books = 1000000 / 1000
number of scientific books sold than the mystery books = 1000
Therefore, the publisher sold 1000 times as many as scientific book than the mystery book.
learn more on sales here: brainly.com/question/24791391
#SPJ1
Answer:
172
Step-by-step explanation:
say you have 180 dollars in your hand but you buy some candy that cost 8 dollars. after handing the 8 dollars over your remaining amount would be 172 because you took 8 from the 180 you had.