Answer:
6.4
Step-by-step explanation:
X-intercept => 2x = 6 => x = 3
x-intercept is 3.
y-intercept => 3/2y = 6 => y = 4
y-intercept is 4.
z-intercept => 3z = 6 => z = 2
z-intercept is 2.
Answer:
The tank will empty in 4 hours.
Step-by-step explanation:
Since a barrel contains 56 liters of kerosene, and it has two taps, one tap that draws 500 ml every 6 minutes and after first 5 liters are drawn from the barrel, the second tap also starts, and it draws 1 liter in every 5 minutes, to determine how many hours will be taken in all to empty the tank, the following calculation must be performed:
0.5 x X = 5
X = 5 / 0.5
X = 10
10 x 6 = 60
1 hour = 51 liters
1 hour 30 minutes = 51 - (1 x 6) - (0.5 x 5) = 42.5
2 hours = 42.5 - (1 x 6) - (0.5 x 5) = 34
2 hours 30 minutes = 34 - (1 x 6) - (0.5 x 5) = 25.5
3 hours = 25.5 - (1 x 6) - (0.5 x 5) = 17
3 hours 30 minutes = 17 - (1 x 6) - (0.5 x 5) = 8.5
4 hours = 8.5 - (1 x 6) - (0.5 x 5) = 0
Therefore, the tank will empty in 4 hours.
The sum of the prime integers in the list is 10158.
<h3>What are Prime Numbers ?</h3>
The numbers that are divisible by 1 or itself is called a Prime Number.
The sum of two prime numbers is not a prime number
The given prime numbers are
197 , 497, 1111 ,2111 , 2643 , 3599
=197+ 497+1111+2111+2643+3599
= 10158
The sum of the prime integers in the list is 10158.
To know more about Prime Number
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Lets name the largest number as x
smallest number is half the largest , therefore its x/2 = 0.5x
then middle number is 3/4 the largest , therefore its 3/4x = 0.75x
the sum of the three numbers are 162
the three numbers added are
x + 0.5x + 0.75x = 162
2.25 x = 162
x = 72
the largest number is 72
then middle number 0.75 x = 0.75 x 72 = 54
smallest number is 0.5x = 0.5 x 72 = 36
answer is - 36,54,72
