Answer:Alex earned $12
John earned $36
Step-by-step explanation:
j=3a
a+3a=48
4a=48
a=48/4
a=12
j=36
We know that
the equation of a sphere is
(x-h)²+(y-k)²+(z-l)²=r²
where (h,k,l) is the center and r is the radius
we have
x²+y²+z²<span>−2x−4y+8z+17=0
</span>
Group terms that contain the same variable, and move the
constant to the opposite side of the equation
(x²+2x)+(y²-4y)+(z²+8z)=-17
<span>Complete
the square. Remember to balance the equation by adding the same constants
to each side
</span>(x²+2x+1)+(y²-4y+4)+(z²+8z+16)=-17+1+4+16
(x²+2x+1)+(y²-4y+4)+(z²+8z+16)=4
Rewrite as perfect squares
(x+1)²+(y-2²)+(z+4)²=4
(x+1)²+(y-2²)+(z+4)²=2²
the center is the point (-1,2,-4) and the radius is 2 units
Answer:
Step-by-step explanation:
Be cool
The answer is 12,662 books in the math section.
Since the science section represents 1/3 of the total books, divide 75,972 by 3.
75,972 ÷ 3 = 25,324 books in the science section.
Now, subtract 25,324 science books from the total number of books.
75,972 - 25,324 = 50,648 remaining books.
Divide the remaining books by 4 and then multiply by 3.
50,648 ÷ 4 = 12,662 • 3 = 37,986 business books.
Add the science books and business books together.
25,324 + 37,986 = 63,310 science and business books.
Subtract 63,310 from 75,972.
75,972 - 63,310 = 12,662 books in the math section.
Hope I helped!
