Answer:
Finn collected 45 1/9 pounds of newspaper [mixed fraction]
Finn collected 406/9 pounds of newspaper [proper fraction]
Step-by-step explanation:
We know Neil collected 4 5/6 pounds of newspaper and Finn collected 9 1/3 times that amount. The question asks us to perform a fraction product, where each one is a mixed fraction.
Finn collected
4 5/6 x 9 1/3
Each fraction will be converted to proper fraction
Jonah collected 45 1/9 pounds of newspaper [mixed fraction]
Jonah collected 406 1/9 pounds of newspaper [proper fraction]
Answer:
10,219 bacteria
Step-by-step explanation:
In this question, we are asked to calculate the population of bacteria in a culture given the formula for the population increase.
From the question, we know the formula to use is
Pt=Po*2^t/d
From the parameters in the question, we identify that Pt is ?, Po is 8300 bacteria , t is 3 hours and d is 10 hours which is the doubling time. Inserting these figures we have;
Pt = 8300 * 2^(3/10)
Pt = 8300 * 2^0.3
Pt = 10,218.5
Pt = 10,219 bacteria to the nearest whole number
Supplementary angles are angles that are adjacent to each other and when summed to get a total of 180 degrees. In this case, DEF and FEG are supplementary. Thus the equation is <span>9x +1 + 8x + 9 = 180 = 17 x + 10; x then is equal to 10 so
<</span>DEF = <span>9*10 +1 =91 degrees
</span><FEG = <span>8*10 + 9 = 89 degrees</span>
Answer:
The dot product of (7,5) and (-5,4) is -15
Step-by-step explanation:
Given
(7,5) and (-5,4)
Required
Determine the dot product
Dot product is calculated using the following formula;
Let a = (7,5) and b = (-5,4);
The above formula becomes
Hence, the dot product of (7,5) and (-5,4) is -15
Answer:
Ali would run 2.8 miles in 24 minutes.
