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RSB
6 days ago
14

In American football, the playing field is 53.33 yards (yd) wide by 120 yards (yd) long. For a special game, the field staff wan

t to paint the playing field orange. Of course, they will use biodegradable paint available for purchase in 25-gallon (gal) containers. If the paint is applied in a thickness of 1.2 millimeters (mm) in a uniform layer, how many containers of paint will they need to purchase?
Mathematics
2 answers:
babunello [8.4K]6 days ago
8 0

Answer:

The required number of containers to purchase is N_V= 67.85

Step-by-step explanation:

According to the question,

        The width of the field is

w_f = 53.33 \ yard = 53.33*0.9144 = 48.76m

        The length of the field is

l_f = 120 \ yards = 120 * 0.9144 = 109.728m

The volume of a single container is

V= 25 \ gallon = 25 * 0.00378541 = 0.094625m^3

        The paint thickness is  

t = 1.2 \ mm = 1.2 * 0.001 = 0.0012m

The area of the field is

A = 48.76 * 109.728

                                         

=5350.337m^2

The amount of paint containers necessary is N_V = \frac{area \ of \ playing \ field(A) * thickness \ of \ paint \ application(t) }{volume\ single \ container(V)}

=>    N_V = \frac{5350.337 * 0.0012}{0.094625}

             N_V= 67.85

PIT_PIT [9.1K]6 days ago
3 0

Answer:

214

Step-by-step explanation:

The dimensions of the playing field are 53.33 yards wide and 120 yards long, requiring us to compute the area by multiplying 53.33 by 120 yards. This results in 6399.6. The thickness being applied is 1.2 millimeters. To find how many containers are needed, divide the area, 6399.6 by 1.2 which equals 5333. Finally, dividing that by 25 gallons gives us 213.32, so you need to buy 214 rounded.

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Inessa [9006]

Answer:

y = \frac{3 + 6\sqrt{2} }{4} y y = \frac{3 - 6\sqrt{2} }{4}

y = StartFraction 3 + 6 StartRoot 2 EndRoot Over 4 EndFraction y = StartFraction 3 menos 6 StartRoot 2 EndRoot Over 4 EndFraction

Explicación paso a paso:

La ecuación cuadrática que tenemos es (4y - 3)² = 72

Debemos encontrar el valor de y.

Ahora, 4y - 3 = ± 6√2

⇒ 4y = 3 ± 6√2

⇒ y = \frac{3 + 6\sqrt{2} }{4} y y = \frac{3 - 6\sqrt{2} }{4}

Por lo tanto, las soluciones son y = StartFraction 3 + 6 StartRoot 2 EndRoot Over 4 EndFraction y y = StartFraction 3 menos 6 StartRoot 2 EndRoot Over 4 EndFraction (Respuesta)

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1 month ago
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babunello [8423]

Answer:

Her age is 40 years

Step-by-step explanation:

Let Jerry's age be represented as j

Let Marjorie's age be denoted as m

The first part of the question states:

j = 4 + m/2

For the second equation:

m = 3j - 32

Multiply the first equation by 2 to get:

2j = 8 + m

Leading to m = 2j - 8

Set both equations for m equal to each other:

2j - 8 = 3j - 32

By simplifying, we get:

3j - 2j = 32 - 8

Therefore, j = 24

Now substituting back:

m = 2j - 8

m = 2(24) - 8

Thus, m = 48 - 8

Final result: m = 40

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Response:

The equation provided is e=\frac{17}{20}d, where e represents euros and d denotes the equivalent value in U.S. Dollars.


We aim to determine the number of euros for 1 U.S. Dollar.


Substituting d=1 in the above equation


results in


e=\frac{17}{20}(1)


Simplifying gives us


e=\frac{17}{20}


By dividing 17 by 20, we get 0.85.


Thus, 0.85 euros are equivalent to 1 U.S. Dollar.


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Step-by-step explanation:


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Answer:

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x = \frac{3(d + 3)}{d-k}

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