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lyudmila [28]
2 years ago
10

Help!! A cylindrical water tank is being filled with a hose. The depth of the water increases by 1 1/4 ft per hour. How many hou

rs will it take for the water level in the tank to be 3 1/2 ft deep? Enter your answer as a mixed number
Mathematics
2 answers:
nordsb [41]2 years ago
4 0
Depth: 7/2 feet
Rate: 5/4 feet per hour

Time = depth / rate of filling
Time = 7/2  /  5/4
Time = 14/5
Time = 2 4/5 hours
nika2105 [10]2 years ago
3 0
Rate :  1 1/4 ft per hour = 5/4 ft per hour
Depth :  3 1/2 = 7/2 ft
7/2 : 5/4 = 7/2 * 4/5 = 28/10 = 14/5 = 2  4/5
Answer:
2  4/5  hours. 
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The snail will reach the top of the wall by day 5.

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6 0
3 years ago
I am confused about ii) help please
Jobisdone [24]

Step-by-step explanation:

i)=

m=2/3

x=-3

y = 5

now

y=mx+c

or, 5 = 2/3× -3 + c

or, 5 = -2+c

c =7

now,

y= mx + c

or, y = 2/3×x+7

or, y = 2x/3+7

or, 3y = 2x+21

so, 3y-2x=21

equation would be 3y-2x=21.

now

ii)=

if slope of 3y-2x=21 and 2x-3y = 0 are same, they are parallel.

2x-3y = 0

2x = 3y

lets suppose x is 9

now

2x=3y

2×9 = 3y

or, 18 = 3y

so, y = 6

one coordinate would be (9,6) now

lets again suppose x is 3

2x=3y

2×3 = 3y

or, 6 = 3y

so, y = 2

another coordinate is (3,2)

now lets find slope

x1=9,y1=6

x2=3,y2=2

slope = (y2-y1)/(x2-x1)

= (2-6)/(3-9)

= -4/-6

= 2/3

Since, slope of 3y-2x=21 and 2x-3y has same slope 2/3, they are parallel.

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