Answer:
2 cups of flour
Step-by-step explanation:
To make 5 batches of cookies, 10 cups of flour are required.
To make 1 batch of cookies:
10 cups ÷ 5 cups = 2 cups of flour.
Hello there!
(87.5y + 12.2x) - (54.3y + 13.9x)
You wanna start by distributing the negative sign
87.5y + 12.2x - 54.3y - 13.9x
Combine the like terms
12.2x - 13.9x + 87.5y - 54.3y
= -1.7x + 33.2y
Let me know if you have any questions. As always, it is my pleasure to help students like you!
Answer:
2/5 + 3/8 =
LCM of 5 and 8 is 40
=so 40 is divided by the denominator of the 1st fraction that is 5 ,you get 8 now multiply 8 by numerator that is 2 you will get 16.
And the same applies for 2nd fraction 40÷8=5 then 5 × 3 = 15
now you say 16 + 15/40(LCM) you get 31/40
the whole fraction is 40/40
40/40 -31/40
= 9/40
● so the answer is 9/40
hope this helps
Answer:
(a) the initial count of bacteria
(b) the growth factor (per hour)
(c) the initial count in the second study
(d) the difference in initial counts between the two studies
Step-by-step explanation:
(a) 1200 is b1(0), the initial count of bacteria.
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(b) 1.8 is the growth factor per hour, the factor that multiplies the previous hour's count to get this hour's count.
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(c) Assuming b2(t) = 1000(1.8)^t, the value 1000 is the initial count of bacteria in the second study, b2(0).
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(d) The difference between 1200 and 1000 means the first study started with 200 more bacteria than the second study did
The estimate would be 1200.
We will set up a proportion for this. 10 out of 60 of the sample were tagged, so that is the first ratio. The 200 that were tagged would be in the numerator of the second ratio (10 was the portion tagged, and 200 is the portion tagged, so they both go on top). We do not know the total number so we use a variable:
10/60 = x/200
Cross multiply:
10*x = 60*200
10x = 12000
Divide both sides by 10:
10x/10 = 12000/10
x = 1200