Answer:
hcf=(1,605; 600) = 3 × 5
Step-by-step explanation:
Prime Factorization of a number: finding the prime numbers that multiply together to make that number.
1,605 = 3 × 5 × 107;
1,605 is not a prime, is a composite number;
600 = 23 × 3 × 52;
600 is not a prime, is a composite number;
* Positive integers that are only dividing by themselves and 1 are called prime numbers. A prime number has only two factors: 1 and itself.
* A composite number is a positive integer that has at least one factor (divisor) other than 1 and itself.
Multiply all the common prime factors, by the lowest exponents (if any).
gcf, hcf, gcd (1,605; 600) = 3 × 5
gcf, hcf, gcd (1,605; 600) = 3 × 5 = 15;
The numbers have common prime factors.
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Answer:
36hr 16min
Step-by-step explanation:
1pool/17hr - 1pool/32hr = 1 pool/xhr
1/17 - 1/32 = 1/x
Use common denomminator of 17*32 = 544
32/544 - 17/544 = 1/x
15/544 = 1/x
x = 544/15
x = 36 4/15 hr
x = 36hr 16min
Answer:
a) r(q) = 1000(q +1/q)
b) r'(q) = 1000(1 -1/q^2)
c) r'(10) = 990
Step-by-step explanation:
a) Revenue is the product of quantity and price:
r(q) = q·p(q) = q(1000(1 +1/q^2))
r(q) = 1000(q + 1/q)
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b) The derivative is ...
r'(q) = 1000(1 -1/q^2)
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c) The derivative evaluated for q=10 is ...
r'(10) = 1000(1 -1/10^2) = 1000(0.99)
r'(10) = 990
Answer:
9%
Step-by-step explanation:
Cost of 1/5 good = 1500*1/5= 300
Profit= 5%
SP = (profit+100)/100*CP
SP= (5+100)/100*300
SP = 105/100*300
SP= 1.05*300= 315
Cost of 4/5 good = 1500*4/5= 1200
Profit= 10%
SP= (profit+100)/100*CP
SP= (10+100)/100*1200
SP = 110/100*1200
SP= 1.10*1200= 1320
Total SP = 315+1320= 1635
Net profit= 1635-1500= 135
Profit% = 135/1500*100%
Profit% = 0.09*100%
Profit% = 9%
Answer:
y = 7 - 2x/3
Step-by-step explanation:
Make the y alone, so 3y = -2x+21
Divide everything else by 3, so y = -2x/3 +7
You end with the answer of y= 7-2x+3
