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2 years ago

It takes your garden hose 20 seconds to fill your 2-gallon watering can. How long will it take to fill

Mathematics

1 answer:

White raven [17]2 years ago

5 0

Answer: a) 1791 seconds

b) 29701 seconds

Step-by-step explanation:

1 us gallon = 0.134 cubic foot

It takes your garden hose 20 seconds to fill your 2-gallon watering can. Converting 2 gallons to cubic foot, it becomes

2 × 0.134 = 0.268 cubic foot

a) The volume of inflatable pool measuring 3 feet wide, 8 feet long, and 1 foot deep.

Volume = 3 × 8 × 1 = 24 cubic feet

If 0.268 cubic foot = 20 seconds

24 cubic feet = (24 × 20)/0.268

= 1791 seconds

b) Volume of a cylinder is πr²h

Diameter = 13 feet

Radius = diameter/2 = 13/2 = 6.5

Volume of the circular pool is

3.14 × 6.5² × 3 = 397.995 cubic feet

If 0.268 cubic foot = 20 seconds

397.995 cubic feet = (397.995 × 20)/0.268

= 29701 seconds

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A baby otter was born 3/4 of a month early. At birth it's weight was 7/8 kilograms which is 9/10 kilogram less than the average

Assoli18 [71]

Answer:

The average weight of new born otter was, $1\frac{31}{40}$

Step-by-step explanation:

Let average weight of new born otter be x.

As per the given statement: At birth it's weight was 7/8 kilograms which is 9/10 kilogram less than the average weight of a new born otter in the aquarium

" $\frac{9}{10}$ kg less than average weight of a new born otter" means $x-\frac{9}{10}$

As per the given information, we have;

$\frac{7}{8} = x -\frac{9}{10}$

Add $\frac{9}{10}$ both sides, we have;

$\frac{7}{8} + \frac{9}{10} = x$

Take LCM of 8 and 10 is, 40

⇒ $\frac{35+36}{40}=x$

Simplify:

$x = \frac{71}{40} = 1\frac{31}{40}$

Therefore, the average weight of new born otter was, $1\frac{31}{40}$

6 0

2 years ago

Read 2 more answers

Line segments XY and ZY are tangent to circle O. Circle O is shown. Triangle X Y Z has points X and Z on the circle. Lines X Y a

pickupchik [31]

Answer:

The correct option is;

An isosceles triangle

Step-by-step explanation:

The parameters given are;

Line segments XY and ZY are tangents to circle O.

ΔXYZ has points X and Z on the circle.

XY and ZY are tangents that intersect at point Y outside the circle'

Therefore, given the circle has center O, then;

OY ≅ OZ = Radius of circle with center O

∠OXY ≅ ∠OZY = 90° (The radius line from the circle center to the tangent point is perpendicular)

OY ≅ OY (Reflexive property)

ΔOYX and ΔOYZ are right triangles (Triangle with one angle = 90°

ΔOYX ≅ ΔOYZ (Hypotenuse Leg, HL, rule of congruency)

Therefore;

XY = ZY (Corresponding Parts of Congruent Triangles are Congruent CPCTC)

Triangle XYZ is an isosceles triangle (Triangle with two equal sides).

4 0

2 years ago

Amir drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. He was

RUDIKE [14]

Answer:

Graph these two points: (0, 360), (30, 0)

Step-by-step explanation:

Since Amir drove for 30 minutes at a rate of 12 meters, that means that he started at an elevation of 360 feet. The easiest way to graph this, is to place one dot at (0, 360), and at (30, 0).

8 0

2 years ago

Read 2 more answers

Carol is going to buy a purse she found. It is originally $120.00, but has been marked down 25%. When Carol goes to buy the purs

Reil [10]

$82.80
I hope this helped!

4 0

2 years ago

Can someone help me solve this :

bija089 [108]

Answer:

The total cost of 5 pillows and 7 sheets is $205.345

Step-by-step explanation:

Let x be the price of pillow case

We are given that the price of the pillows is 3 times as much as the price of a pillow case

Price of pillow = 3x

Price of 2 pillows = 2(3x)=6x

Price of 3 pillow case = 3x

At a store, 2 pillows and 3 pillow cases together cost $73.08.

So, 6x+3x=73.08

9x=73.08

$x=\frac{73.08}{9}$

x=8.12

So, Price of 1 pillow case = 8.12

Price of 1 pillow = 3x=3(8.12)=24.36

Price of 3 pillow =3(24.36)=73.08

Let y be the cost of 1 sheet

The total cost of 3 pillows and 4 sheets is $120.82

So, 73.08+4y=120.82

$y=\frac{120.82-73.08}{4}$

y=11.935

Price of 1 sheet = 11.935

Price of 7 sheets = 7(11.935)=83.545

Price of 5 pillows =5(24.36)=121.8

So,the total cost of 5 pillows and 7 sheets=83.545+121.8=205.345

Hence the total cost of 5 pillows and 7 sheets is $205.345

5 0

2 years ago