Answer:
440
Step-by-step explanation:
Prime factors of 40 = 2 x 2 x 2 x 5
Prime factors of 220 = 2 x 2 x 5 x 11
Common factors = 2² x 5
Prime factors of 40 (excluding common factors with 220) = 2
Prime factors of 220 (excluding common factors with 40) = 11
Multiply the common factors with remaining factors
2² x 5 x 2 x 11
= 440
The value of y is 5
Given,
2x+z=2y
2x+2y+z=20
Now,
From equation substitute the value of 2x,
2x = 2y -z
substitute the value in second equation,
2y -z + 2y + z = 20
Now solve the terms with like variables,
4y = 20
y = 5
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Which of the following scenarios will happen?
a. The paint will not fill the tray by 369 cm3.
b. The paint will not fill the tray by 5.22 in3.
c. The paint will fill the tray exactly.
d. The paint will overfill the tray by 5.22 in3
Answer:
3900 bacteria will be present
Step-by-step explanation:
A culture started with 2000 bacteria and after 2 hours it grew to 2200 bacteria, determining the rate, we can assume that for every hour, 100 bacteria adds onto the culture. Therefore:
If 19 hours have passed, multiply 100 by 19 to insinuate the every hour per 100 bacteria.
19 * 100
1900
Now you can add this to the original starting bacteria:
2000 + 1900
3900 bacteria