<span>1.You should set up the long division.
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2 <span>Calculate 43 ÷ 7, which is 6 with a remainder of 1.
</span>
3 <span>Bring down 1, so that 11 is large enough to be divided by 7.
</span>
4 <span>Calculate 11 ÷ 7, which is 1 with a remainder of 4.
</span>
5 <span>Bring down 8, so that 48 is large enough to be divided by 7.
</span>
6 <span>Calculate 48 ÷ 7, which is 6 with a remainder of 6.
</span>
7 <span>Therefore, 4318 ÷ 7 = 616 with a remainder of 6.
</span><span>
616 with</span> a remainder of 6 or 616.8571
Step-by-step explanation:
Cost of white shirt=$15
Cost of tie-dye shirt = $20
Total number of shirts= 500
Total number of white shirts= 200
Cost of white shirts = 200×15=$ 3000
Total number of tie-dye shirts = 300
Cost of tie-dye shirts = 300×20= $6000
Verification:
3000+6000=$9000 proved!
Answer:
The smallest positive integer solution to the given system of congruences is 30.
Step-by-step explanation:
The given system of congruences is


where, m and n are positive integers.
It means, if the number divided by 5, then remainder is 0 and if the same number is divided by 11, then the remainder is 8. It can be defined as



Now, we can say that m>n because m and n are positive integers.
For n=1,


19 is not divisible by 5 so m is not an integer for n=1.
For n=2,



The value of m is 6 and the value of n is 2. So the smallest positive integer solution to the given system of congruences is

Therefore the smallest positive integer solution to the given system of congruences is 30.
Answer:
The diameter is 6 yards.
Step-by-step explanation:
2pir=18.84
pir=9.42
r=3(nearest whole number)
d=2r
d=2*3
d=6
Therefore, the diameter is 6 yards.