4, 7 and 9 are mutually coprime, so you can use the Chinese remainder theorem.
Start with
Taken mod 4, the last two terms vanish and we're left with
We have 
, so we can multiply the first term by 3 to guarantee that we end up with 1 mod 4.
Taken mod 7, the first and last terms vanish and we're left with
which is what we want, so no adjustments needed here.
Taken mod 9, the first two terms vanish and we're left with
so we don't need to make any adjustments here, and we end up with 
.
By the Chinese remainder theorem, we find that any 
such that
is a solution to this system, i.e. 
for any integer 
, the smallest and positive of which is 149.
Answer:
A. 2,400π cubic units
Step-by-step explanation:
Answer:
(a) y(x)=53+7x
(b) 179
Step-by-step explanation:
Since the first row has 60 seats and next row has 7 additional seats then we can represent it as
First row=60
Second row=60+7=67
Third row=67+7=74
The difference is always 7. If you deduct 7 from dirst row we get 60-7=53 seats
To get rhe number of seats in any row x then let y be the number of seats in row x
y=53+7(x)
For raw 1
Y=53+7(1)=60
For raw 2
Y=53+7(2)=67
Therefore, the formula for number of seats at any row will be
y(x)=53+7(x)
(b)
Using the above formula
y(x)=53+7(x)
Replace x with 18 hence
Y(18)=53+7*(18)=179 seats
Answer:
98.1 is your anwser I know this kinds of stuff
Answer:
Step-by-step explanation:
1 gallon = 16 cups (STANDARD)
For 10 servings:
10 servings = 2 cups of water
10 servings = 2 / 16 gallons
10 servings = 0.125 gallons
<u>For 320 servings:</u>
10 servings = 0.125 gallons
Multiply both sides by 32
10 * 32 servings = 0.125 * 32 gallons
320 servings = 4 gallons
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Hope this helped!
<h3>~AH1807</h3>
