All together there are 48 + 30 books, which comes out to 78 books. All discount packages contain the same number of books.
Think of the products of integers equal to 48: 3*16, 4*12, 6*8. Are there more?
Think of the products of integers equal to 30: 3*10, 5*6, 2*15. Are there more?
Think what these sets of factors have in common: there could be 8 packages of 6 science books (48 books total); there could be 5 packages of 6 mysteries (30 total). Doing this, we ensure that every package has the same number of books (6). We can make (8+5), or 13, packages.
Check: Does (6 books/package)(13 packages) = 78 books? YES.
Answer:-1
Step-by-step explanation:
2(3x-4)+x-1=-16
Open brackets
6x-8+x-1=-16
Collect like terms
6x+x=-16+1+8
7x=-7
Divide both sides by 7
7x ➗ 7=-7 ➗ 7
x=-1
Y varying directly with x means y equals a constant multiplying x: y=kx
in this case, k=4, so 84=4x
x=21
The correct answer is B. I am glad I could help.
Answer:
x1 y1 x2 y2
3 -1 -8 0
ΔY 1
ΔX -11
slope= - 1/11
B= - 8/11
Step-by-step explanation: