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VLD [36.1K]
2 years ago
8

An inflatable pool has sprung a leak. You place a 1-gallon cup under the leak and find that it fills up in 195 seconds. How many

ounces per minute is the swimming pool losing?
Mathematics
1 answer:
Lemur [1.5K]2 years ago
4 0

Answer:

14.92 ounces per second

Step-by-step explanation:

SInce there is 128 oz in one gallon we have to break this down more. 195 seconds equals 3 minutes and 25 secs so 3 1/4 minutes. So we can do 128/60 because it's asking per minute. After that, you'll get 2.13, but since there's a total of 3 minutes you have to multiply that by 3. So 2.13 times 3 equals 6.39. Don't forget that we still have 15 seconds left, or 1/4 of a minute so you'll divide 128 by 15 and you'll get 8.53 in ounces. Add that to 6.39 and the final answer is 14.92 ounces per second

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Answer:

(5,-3)

Step-by-step explanation:

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A chef cooked 8 kilograms of mashed potatoes for a dinner party.if the guests only ate 6/8 of the amount he cooked, how much did
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They answer is they ate 6 kilos! of the 8 kilos because you have to reduce 6/8 to 3/4 and 3/4 of 8 is 6. 
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3 years ago
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What is the area of a rectangle with vertices at ​ (0, −4) ​, ​ (−1, −3) ​ , (2, 0) , and (3, −1) ? Enter your answer in the box
Bad White [126]

We are given vertices of a rectangle (0, −4) ​, ​ (−1, −3) ​ , (2, 0) , and (3, −1).

Length is the distance between (0, −4) ​and ​ (−1, −3) points.

Width is distance between  (−1, −3) ​ and (2, 0) points.

<u>Computing length:</u>

\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

=\sqrt{\left(-1-0\right)^2+\left(-3-\left(-4\right)\right)^2}

=\sqrt{2}

<u>Computing Width :</u>

\mathrm{The\:distance\:between\:}\left(-1,\:-3\right)\mathrm{\:and\:}\left(2,\:0\right)\mathrm{\:is\:}

=\sqrt{\left(2-\left(-1\right)\right)^2+\left(0-\left(-3\right)\right)^2}

=3\sqrt{2}

<h3>Area of the rectangle = Length × Width  </h3>

= \sqrt{2} \times 3\sqrt{2} = 3 \times 2 = 6 \ squares \ units..


7 0
3 years ago
Amy operates a coffee kiosk and is blending her special house coffee. She is mixing Kenya beans that cost $9.00 per pound with C
Alexeev081 [22]

Answer:

C

Step-by-step explanation:

4 0
3 years ago
Graph the line given by 2x+y=1 and the circle given by x²+y²=10.Find all solutions to the system of equations. Verify your resul
Aleksandr-060686 [28]

Answer:

(1.8, -2.6) and (-1, 3)

Step-by-step explanation:

2x+y=1

x^2+y^2=10

From the first equation

y=1-2x

Applying to the second equation

x^2+(1-2x)^2=10\\\Rightarrow x^2+1+4x^2-4x=10\\\Rightarrow 5x^2-4x-8=0

Solving the equation we get

x=\frac{-\left(-4\right)+\sqrt{\left(-4\right)^2-4\cdot \:5\left(-9\right)}}{2\cdot \:5}, \frac{-\left(-4\right)-\sqrt{\left(-4\right)^2-4\cdot \:5\left(-9\right)}}{2\cdot \:5}\\\Rightarrow x=1.8, -1

At x = 1.8

Applying in first equation

2\times 1.8+y=1\\\Rightarrow y=1-3.6\\\Rightarrow y=-2.6

At x = -1

Applying in first equation

2\times -1+y=1\\\Rightarrow y=1+2\\\Rightarrow y=3

∴ The circle and line intersect at points (1.8, -2.6) and (-1, 3)

3 0
3 years ago
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