If 6 of the 13 books are new, then 7 of them are used. The ratio of new (6) to used (7) is
6:7 or 6/7
Ratio of all books (13) to used books (7) is
13:7 or 13/7
Answer:
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Answer:
The median grade would be 89
Step-by-step explanation:
To find the median, first put the numbers all in ascending order.
79, 80, 86, 92, 95, 96
Now isolate the middle term or terms. Since there is an even amount of numbers, we pick the two in the middle. To find the median, we take an average of those terms.
(86 + 92)/2 = 89
Step-by-step explanation:
3+x-2/x-3<_4
cross multiply
3+x-2<_4(x-3)
3+x-2<_4x-12
1+x<_4x-12
collect like terms
1+12<_4x-x
13<_3x
divide both side by 3
13/3<_×
6.5<_x
Answer:
Step-by-step explanation:
Givem the profit function
p(x) = −2000x2 + 18000x − 15000
We are to generate the price range that will generate a monthly profit of at least $25,000
Substitute into the function we have;
25000 = −2000x2 + 18000x − 15000
Divide through by 1000
25 = -2x²+18x-15
Rearrange
-2x²+18x-15-25 = 0
2x²-18x+40 = 0
Divide through by 2
x²-9x+20 = 0
Factorize
x²-5x-4x+20 = 0
x(x-5)-4(x-5) = 0
x-4 = 0 and x-5 = 0
x = 4 and x = 5
Hence the price range that will generate a monthly profit of at least $25,000 is between $4 and $5 inclusive