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frez [133]
4 years ago
11

The flow of water from a faucet can fill a 5 -gallon container in 20 seconds. Give the ratio of gallons to seconds as a rate in

gallons per second.
Mathematics
1 answer:
Juliette [100K]4 years ago
5 0

Hi!

We will solve this using proportions, like this:

5 gallons in 20 seconds

x gallons in 1 second

______________________

x = (5*1)/20

x = 5/20

x = 1/4

x = 0,25

The answer is 0,25 gallons per second.

Hope this helps!

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Liquefied natural gas makes ________ natural gas easier.
bija089 [108]
Your answer is C. Transporting

Hope I helped you today : )
8 0
3 years ago
Please help me, I'm suffering from all of these parallel lines ;9
Anarel [89]

Answer:

1. y = 4x - 27

2. y = -4x - 15

Step-by-step explanation:

If two lines are parallel, then they have the same slope. So, the slope of the line we are looking for needs to be 4. We can start by writing a point-slope equation:

y - y1 = m(x - x1)

We can substitute the values we have, the point we are using is (8, 5) because it needs to be on the line:

y - 5 = 4(x - 8)

We can distribute:

y - 5 = 4x - 32

y = 4x - 27

We are not given the slope-intercept form, so we must divide both sides by two to get it:

y = 1/4 x + 8

A perpendicular line has the slope that is the negative reciprocal of the one that is given. So, the slope of the line would be - 4. We can start by writing a point-slope equation:

y - y1 = m(x - x1)

We can substitute the values we have, the point we are using is (-5, 5) because it needs to be on the line:

y - 5 = -4(x + 5)

We can distribute:

y - 5 = -4x - 20

y = -4x - 15

6 0
3 years ago
A rectangular floor is 6 yards long and 4 yards wide. What is the area of the floor in square feet? Please help!
lys-0071 [83]
Area = length x width

A = L•W

There are 3 feet in one yard.

6 yards = 18 feet

4 yards = 12 feet

A = (18)(12)

A = 216 square feet
8 0
3 years ago
Para ampliar uma sala quadrada, foram acrescentados 4 metros em seu comprimento e 2 metros em sua largura, conforme a figura. Qu
ollegr [7]

Answer:

b) x^2 + 6x + 8

Step-by-step explanation:

Para ampliar la habitación cuadrada, se agregaron 4 metros de largo y 2 metros de ancho, como se muestra en la figura.

Deje que la longitud y el ancho de la habitación antes de la expansión sean x.

La nueva longitud de la sala es (x + 4).

El nuevo ancho de la sala es (x + 2).

La nueva área de la sala será:

(x + 4)(x + 2)\\x^2 + 2x + 4x + 8\\x^2 + 6x + 8\\\\

Esa es la nueva área de la habitación.

3 0
3 years ago
HELP
Westkost [7]

Answer:

  see below

Step-by-step explanation:

The exponent rules that apply are ...

  (a^b)(a^c) = a^(b+c)

  a^-b = (1/a)^b

  (a^b)^c = a^(b·c)

_____

These let you rewrite the given function as ...

  f(x) = (3^(2x))(3^1) = 3(3^(2x)) = 3(3^2)^x = 3·9^x

and

  f(x) = 3^(2x+1) = (3^-1)^(-(2x+1)) = (1/3)^-(2x+1)

5 0
3 years ago
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