Answer:
A) 0
Step-by-step explanation:
When x is divided by 11, we have a quotient of y and a remainder of 3
x/11 = y + 3
x = 11y + 3 ........(1)
When x is divided by 19, we have a remainder of 3 also
x/19 = p + 3 (p = quotient)
x = 19p + 3 ..........(2)
Equate (1) and (2)
x = 11y + 3 = 19p + 3
11y + 3 = 19p + 3
11y = 19p + 3 -3
11y = 19p
Divide both sides by 11
11y/11 = 19p/11
y = 19p/11
y and p are integers. 19 is a prime number. P/11 is also an integer
y = 19(integer)
This implies that y is a multiple of 19. When divided by 19, there is no remainder. The remainder is 0
Answer:
They would have the bike for 1.7 hours
Step-by-step explanation:
The bike is rented at a charge of $5 for every half an hour,this can be expressed as:
$5 per 0.5 hours, to calculate the time one will have the bike if they pay $17
The amount of paid=Standard Rate per 1/2 of an hour/Number of hours
where;
The amount paid=$17
Standard Rate per 1/2 an hour=$5/0.5
Number of hours
Replacing;
n=(17×0.5)/5=1.7 hours
Answer: <u><em>512</em></u>
Step-by-step explanation: <u><em>the length of a varies string varies inversely as the frequency of its vibrations. A violin string 10 inches long vibrates at a frequency of 512 cycles per second. Find the frequency of an 8-inch string.</em></u>
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So basically sam split the 1000 to 2 groups so we have 1000 ÷ 2
now the first group divided the 500 (since 1000÷ 2 is 500) among five children so it would be 500 ÷ 5 which equals 100 per child and the second group divided their 500 between to boys, so you would get 500÷2 which is 250
so for group one it would be: 1000÷2÷5 which equals 100 per child and the second group is 1000÷2÷2 which equals 250 for each brother
Answer: It would cost $150 for a party of 9 people and it would cost $260 for 20 people
Step-by-step explanation:
The number 9 falls in between 0<n<_ 12 so the cost is 150
The number 20 falls in between 12<n<_ 20 so the cost is 260
