B was the answer the entire time, i think
Answer:
5x + 9y ≤ 32
Step-by-step explanation:
Each cassette tape costs $5 and each CD costs $9
Let x represent the number of tapes and y the number of CDs.
The cost of the cassettes is the number of cassettes times the cost per cassette and the cost of the tapes is the number of tapes times the cost per tape. We add these together to get the total cost. The total cost must be less than or equal to 32
32≥5x+9y
Answer:
b = -125/9
Step-by-step explanation:
1 + log5 ( -9b) = 4
Subtract 1 from each side
1 -1+ log5 ( -9b) = 4-1
log5 ( -9b) = 3
Raise each side to the base 5
5^ log5 ( -9b) = 5^3
This will cancel the log5
-9b = 125
Divide each side by 9
-9b/-9 = 125/-9
b = -125/9
Answer:
Step-by-step explanation:
The Pythagorean theorem is expressed as
Hypotenuse² = opposite side² + adjacent side²
If the distances of the routes given are Pythagorean triples, then they obey the Pythagorean theorem hence, they would form a right angle triangle.
1) for the bus routes between stop A, B and C,
13² = 12² + 5²
169 = 144 + 25 = 169
A Pythagorean triple is formed hence, stop A, B and C form a right angle triangle.
2) for the bus routes between stop C, E and E,
22² = 14² + 18²
484 = 196 + 324 = 520
A Pythagorean triple is not formed hence, stop C, E and E do not form a right angle triangle.
3) 25² = 9² + HJ²
625 = 81 + HJ²
HJ² = 625 - 81 = 544
HJ = √544 = 23.32
4) EG² = 15² + 8²
EG² = 225 + 64
EG² = 289
EG = √289 = 17
