Answer:
q = 7p
Step-by-step explanation:
given q is directly proportional to p then the equation relating them is
q = kp ← k is the constant of proportion
To find k use the condition q = 28 when p = 4 , then
28 = 4k ( divide both sides by 4 )
7 = k
q = 7p ← equation of proportion
4x - 5y = -15
y = -3x + 22
Plug in your y= equation into the y variable in the other equation
4x - 5 (y) = -15
^^
y = (-3x + 22) = -15
4x - 5 (-3x + 22) = -15
Distribute
4x + 15x - 110 = -15
Combine like terms and add 110 over to -15
19x = 95
Then, divide the whole equation by 19
x = 5
Then, plug in your x into your y= equation
y = -3 (5) + 22
y = -15 + 22
y = 7
<em><u>x = 5</u></em>
<em><u>y = 7</u></em>
<em><u>(5, 7)</u></em>
Answer: There would be 12,000 bacteria 8 hours after the initial infection.
Step-by-step explanation: You start with 25 cells and if they divide every 15 minutes, 25 multiplied by 15 gets you 375 cells every quarter of an hour. Then if you multiply that by the 32 quarter hours, you get 12,000 cells. To check that you can also multiply 25 by 15, still 375, then 375 by 4 for each quarter of the hour, then that gets you 1,500 cells every hour. If you multiply that by 8 for the 8 hours they have time to divide, you still get 12,000 cells.
I hope this helps!
Answer:
87 11/14
Step-by-step explanation:
1,229 ÷ 14
It can also be written as
1,229 / 14
14 in 12 is not possible
14 in 122 is 8 remainder 10
The 10 remaining + 9 in the the given expression
14 in 109 is 7 remainder 11
The answer is 87 11/14
87 whole number 11 over 14
1,229 / 14 = 87 11/14
Genes vary in size from a few DNA bases
