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Alexxandr [17]
3 years ago
11

a hose fills a hot tub at a rate of 4.78 gallons per minute. How many hours will it take to fill a 309 gallon tub?

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
7 0
You just have to divide 309 by 4.78 so it would =64.6443
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What is the solution to the system of equations? y = A system of equations. Y equals StartFraction 2 over 3 EndFraction x plus 3
Sauron [17]

Answer:

The solution to the given system of equations is (-2,\frac{5}{3})

Therefore the values of x and y are x=-2 and y=\frac{5}{3}

Step-by-step explanation:

Given equations can be written as

y=\frac{2}{3}x+3\hfill (1)

x=-2x+3x=-2\hfill (2)

Solving equation(2) we get

x=-2

Substitute x=-2 in equation (1) we get

y=\frac{2}{3}(-2)+3

=-\frac{4}{3}+3

=\frac{-4+9}{3}

=\frac{5}{3}

Therefore the values of x and y are  x=-2 and y=\frac{5}{3}

The solution to the given system of equations is (-2,\frac{5}{3})

5 0
3 years ago
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Please help me out!!!
serg [7]

Answer:

x = 76.9

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp side / adj side

tan 70 = x/28

28 tan 70 = x

x=76.92936

Rounding to the nearest tenth

x = 76.9

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3 years ago
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Rearrange the formula V = 2πr/T for r.
Zielflug [23.3K]
V =\dfrac{2\pi r}{T}\quad|\cdot T\\\\\\TV=2\pi r\quad|:2\pi\\\\\\\boxed{\dfrac{TV}{2\pi}=r}

Answer D.
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Rewrite each expression as a polynomial in standard form.a)(x+i)(x-i)b)(x+5i)(x-5i)
Nitella [24]

Answer:

a) x² +1

b) x² +25

Step-by-step explanation:

a) (x+i)(x− i)

   = x² - ( i ) x + ( i ) x - ( i)²

   = x² -  i²                       ∵ i² = -1

   = x² -  (-1)

   = x² +1

b) (x+5 i)(x− 5i)

 = x² - ( 5 i ) x + ( 5 i ) x - ( 5 i)²

   = x² - 25 i²                       ∵ i² = -1

   = x² -  25(-1)

   = x² +25

we can also solve

using identity

   (a + b)(a - b) = a² - b²

   = (x+5 i)(x− 5i)    

   = x² - (5 i)²

   = x² - 25 i²

   = x² +25

8 0
3 years ago
Y=2x-15 y=5x what the x equals
daser333 [38]

Answer:

16y=13x

Step-by-step explanation:

this honestly doesn't make sense but this is as much as i could simplify

7 0
3 years ago
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