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levacccp [35]
3 years ago
13

During a typical shower, 17 gallons of water are used If Jana takes two showers a day what is the ratio of gallons used for one

shower to total gallons used
Mathematics
2 answers:
aalyn [17]3 years ago
6 0

Answer:

1:2

Step-by-step explanation:

For the each shower 17gallons is used

Daily shower is twice = 17*2

= 34 gallons

The ratio of the shower to the daily shower will be:

Each shower / daily shower

17/34 = 1/2

1:2

olchik [2.2K]3 years ago
3 0

Answer:

x = \frac{1}{2}

Step-by-step explanation:

The ratio of gallons used for one shower is obtained by dividing the total of gallons by the number of showers per day:

n = \frac{17\,galllons}{2\,\frac{showers}{day} }

n = 8.5\,\frac{gallons}{shower}

The ratio of gallons used for one shower to total gallons used is:

x =\frac{8.5\,gallons}{17\,gallons}

x = \frac{1}{2}

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The hypotenuse of a right triangle is 4 times the smallest side. The third side is 4√15 cm. Find the length of the smallest side
Brums [2.3K]

Answer:

x=4 cm

Step-by-step explanation:

x=smallest side

4x=hypotenuse

4√15=third side

use the Pythagorean Theorem

(4x)^2=x^2+(4√15)^2

16x^2=x^2+240

16x^2-x^2=240

15x^2=240

x^2=240/15

x^2=16

x=√16

x=4 cm is the smallest side

the hypotenuse is 16 cm

the third side is 4√15 cm

8 0
3 years ago
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In-s [12.5K]

Answer:

What grade is this? I may have an answer.

Step-by-step explanation:

7 0
3 years ago
A rancher wants to fence in an area of 1000000 square feet in a rectangular field and then divide it in half with a fence down t
frosja888 [35]

The shortest length of the fence used by the rancher in a rectangular field of 1000000 square feet is 4899 ft.

<h3>What is the area of a rectangle?</h3>

The area of a rectangle is a region enclosed in four corners where two opposite sides are equal. The area of the rectangle is mathematically expressed as:

Area of a rectangle = length(x) × breath(y)

1000000 sq.ft = (x) × (y) ---- (1)

However, to determine the fencing, we have:

Length of fencing = 2x + 2y  

  • since the rectangle has four sides and opposite sides are equal

Suppose we use the x-direction to estimate the region where the fencing is located, we have:

Length of fencing = 2x + 2y + x

Length of fencing = 3x + 2y ---- (2)

From equation (1), make (y) the subject of the formula and replace the value of y with equation (2)

The Length of fencing is:

\mathbf{L = 3x - 2( \dfrac{1000000}{x})}

\mathbf{\dfrac{dL}{dx} = 3 - \dfrac{2000000}{x^2} = 0}

\mathbf{ x^2= \dfrac{2000000}{3} }

\mathbf{ x= \dfrac{1000\sqrt{2}}{\sqrt{3}} }

\mathbf{x = \dfrac{1000 \sqrt{6}}{3}}

Now, if we replace the value with equation (1), then y will be:

\mathbf{y = \dfrac{1000000}{\dfrac{1000 \sqrt{6}}{3}} }\\ \\  \\ \\ \mathbf{y = \dfrac{3000 }{\sqrt{6}}}

\mathbf{x =500\sqrt{6}}

Now, the shortest length of the fencing can be computed by using the equation (2):

L = 3x + 2y

\mathbf{L = 3( \dfrac{1000  \sqrt{6}}{3}) + 2(500 \sqrt{6})}

\mathbf{L =1000  \sqrt{6} + 1000 \sqrt{6}}

\mathbf{L =2000  \sqrt{6} }

\mathbf{L \simeq 4899 \ ft}

Learn more about the area of a rectangle here:

brainly.com/question/25292087

6 0
1 year ago
PLEASE ANSWERT......
ikadub [295]

4 units wide

Any more help feel free to ask

6 0
3 years ago
Can y’all help me pls
krok68 [10]

Answer:

2. The change in expected height for every one additional centimeter of femur length.

Step-by-step explanation:

<u>1. The expected height for someone with a femur length of 65 centimeters.</u>

<em>Doesn't make sense, that would be height value when centimeters = 65.</em>

<u>2</u><u><em>. </em></u><u>The change in expected height for every one additional centimeter of femur length.</u>

<em>Makes sense, for every increase in one additional centimeter, we can expect the height to be proportional to the slope.</em>

<u>3. The femur length for someone with an expected height of 2.5 centimeters.</u>

<em>Doesn't make sense, the linear relationship relies on the femur length to get the height.</em>

<u>4. The change in expected femur length for every one additional centimeter of height.</u>

<em>Doesn't make sense, again, the linear relationship relies on the femur length.</em>

6 0
2 years ago
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