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Ratling [72]
3 years ago
9

Sarah's parents are filling their swimming pool. She wants to know how long it will take. What unit is best used to give the rat

e of the water flowing into the pool? Her pool is 22,000 gallons. What unit will the answer to her question be answered in? A) cups per hour; hours B) gallons per hour; hours C) cups per minute; minutes D) gallons per second; seconds
Mathematics
1 answer:
Marat540 [252]3 years ago
7 0

Answer:

B) gallons per hour

Step-by-step explanation:

The pool volume is measured in gallons, so that is the appropriate unit for use in the rate. The time will likely be measured in hours (not minutes or seconds), so that, too, is the appropriate unit for the rate.

_____

<em>Comment on other units</em>

If the pool is filled from a fire hose or other high-volume source of water (irrigation pump, for example), the appropriate units may be gallons per minute. (It might only take 10 to 20 minutes.)

In a metric country, the appropriate units might be liters per minute or hour, or cubic meters per minute or hour. (The pool volume is about 83.3 m³.)

For the problem here, the unit of cups is way too small to be of interest, and (large volume) flow rates are rarely expressed in cups per unit time.

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X+1/3y=4 in slope intercept form EXPLAIN
skad [1K]

Answer:

Y = 12

Step-by-step explanation:

x + 1/3y = 4

Multiply both sides of the equation by 3.

3  ⋅  1 3  ⋅  y  =  3  ⋅  4

Simplify both sides of the equation:

1. Simplify both sides of the equation.

2. Multiply 3 by 4

How to simplify:

Cancel the common factor of 3

Rewrite the expression.

Multiply by 1

y  =  3  ⋅  4

Multiply 3 by 4

(12)

7 0
3 years ago
Can someone help me with part b on this question please?
Galina-37 [17]

9514 1404 393

Answer:

  12.0 cm

Step-by-step explanation:

The Pythagorean theorem applies:

  (12 cm)² +b² = (17 cm)²

  b² = (289 -144) cm² = 145 cm²

  b = √145 cm ≈ 12.04 cm

  b ≈ 12.0 cm . . . . rounded to 1 decimal place

8 0
3 years ago
Find the slope of the line that passes through (-19, -33) and (47, 5)
Vera_Pavlovna [14]
Hello there! Slope is rise/run. The formula for finding slope is y2 - y1 / x2 - x1, where you subtract the first x and y-coordinates from the second x and y-coordinates. In other words, the order that the coordinates show up for this problem will be used in that order. For this case, here are the numbers that will be used for each.

y2: 5
y1 : -33
x2: 47
x1: -19

Let's plug it in to get 5 - (-33) / 47 - (-19). Now, let's subtract. Just by looking at the numbers, we will actually be adding the numbers, because when you add a negative number, you actually add. So 5 + 33 is 38. 47 + 19 is 66. 38/66 is 19/33 in simplest form. There. The slope of the line is 19/33.
8 0
3 years ago
Find the x-values for which f(x) = g(x)<br> if you know that f(x) = x2 and g(x) = 2x.
il63 [147K]

For this case we have the following functions:

f (x) = x ^ 2\\g (x) = 2x

If we want f (x) = g (x) then:

x ^ 2 = 2x\\x ^ 2-2x = 0

We take common factor x:

x (x-2) = 0

Thus, the values of x that make equality equal are:

x_ {1} = 0\\x_ {2} = 2

Thus, the values of x for whichf (x) = g (x)are 0 and 2.

ANswer:

The values of x for which f (x) = g (x)are 0 and 2.

3 0
3 years ago
A catapult launches a boulder with an upward velocity of 112 ft/s. The height of the boulder, h, in feet after t seconds is give
defon
To determine the time it takes for the maximum height to be achieved, derive the  equation and equate to zero. 
                        h = -16t² + 112t + 30
                       dh / dt = 0 = 2(-16)t + 112
The value of t is 3.5 s. Substitute this value of time to the equation for h,
                         h = -16 x (3.5 s)² + 112 x 3.5 s + 30 = 226 ft
Thus, the answer is letter D. 
7 0
3 years ago
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