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nalin [4]
3 years ago
6

An oil company fills 1 over 12 of a tank in 1 over 3 hour. At this rate, which expression can be used to determine how long will

it take for the tank to fill completely? 1 over 12 ⋅ 3 hours 1 over 3 ⋅ 12 hours 1 over 3 ⋅ 1 over 12 hours 3 ⋅ 12 hours
Mathematics
1 answer:
Leto [7]3 years ago
6 0
Don't let fractions fool you.

\frac{1}{12} of a tank in \frac{1}{3} an hour is equal to:
1/12 of a tank in 20 minutes.

Thus we know in an hour, an oil company can fill 3/12 of a tank (60 minutes in an hour).

3 x 4 = 12, and 12/12 = 1(a whole tank), so we multiply 1 (hour) by 4.

Our answer is that it takes 4 hours to fill a tank.

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Hope this helps! :)
6 0
3 years ago
the average rainfall in Clearview is 38 inches . this year 29.777 inches fell . How much less rain fell this year than falls in
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6 0
3 years ago
Pls help me!!
vlada-n [284]

Answer:

<h3>Q1</h3>

The graph of y = f(x), has vertex at (1, -2)

<u>The vertex of a function f(x - 3) is going to be:</u>

  • (1 - 3, -2) = (-2, -2)
<h3>Q2</h3>
  • <em>The graph of y = f(x) has the line x = 5 as an axis of symmetry. The graph also passes through the point (8,-7). Find another point that must lie on the graph of y = f(x).</em>

The axis of symmetry is at the same distance from the symmetric points.

x = 5 is a vertical line. The point (8, -7) is 3 units to the right. So the mirror point will be 3 units to the left and have same y-coordinate: x = 5 - 3 = 2

The point is (2, -7)

<h3>Q3</h3>

The graph in blue is the translation of the red to the left by 2 units.

<u>So the equation is:</u>

  • y = f(x + 2)
<h3>Q4</h3>

y = h(x) is graphed

  • h(7) = 5
  • h(h(7)) = h(5) = -1
<h3>Q5</h3>

The graph of the function y = u(x) given

This is a odd function.

The coordinates of u(x) and u(-x) add to zero because u(-x) = -u(x)

<u>Therefore:</u>

  • u(-2.72) + u(-0.81) + u(0.81) + u(2.72) =
  • [u(-2.72) + u(2.72)] + [u(-0.81) + u(0.81)] =
  • 0 + 0 = 0
3 0
3 years ago
Has a slope of -2/5 and goes through (-10,-1)​
Aleonysh [2.5K]

Answer:

Below in bold.

Step-by-step explanation:

Using the point-slope form of a straight line equation:

y - y1 = m(x - x1)

y - (-1)) = -2/5(x - -10)

y + 1 = -2/5(x + 10)

y  + 1 = -2/5x - 4

y = -2/5x - 5.

In standard form this is:

2x + 5y = -25.

7 0
2 years ago
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