Triangle ABC is similar to triangle DEF. the ~ symbol means similarity.
Answer:
They are both the exact same, just one is simplified, and the other is still not simplified all the way. These two answers are exactly the same.
Step-by-step explanation:
Answer:
0.15(5,-1)
Step-by-step explanation:
⇒ 
⇒ 
⇒ 
The best batch size is 1053.
Since 5% have failed, this means 95% have passed the test.
95% = 95/100 = 0.95
We can set up an equation to answer this:
0.95x = 1000
Divide both sides by 0.95:
0.95x/0.95 = 1000/0.95
x = 1052.6 ≈ 1053
Answer:there are 900 beds in shelter B
Step-by-step explanation:
Shelter A has a capacity of 300 beds and is 80% occupied. This means that the number of beds in Shelter A that would be
80/100 × 300 = 0.8 × 300 = 240 beds.
Let x represent the capacity of Shelter B. Shelter B is 45% occupied. It means that number of beds in Shelter B that would be occupied is
45/100 × x = 0.45 × x = 0.45x beds.
Total occupancy of shelter A and shelter B would be
240 + 0.45x
The ratio of the occupancy of shelter A to shelter B is 16:27
Total ratio of occupancy = 16 + 27 = 43
Therefore
27/43 × (240 + 0.45x) = 0.45x
27(240 + 0.45x) = 0.45x × 43 = 19.35x
6480 + 12.15x = 19.35x
6480 = 19.35x - 12.15x = 7.2x
x = 6480/7.2 = 900
