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3 years ago

If a pump takes 60 minutes to circulate 25 gallons of water, how many minutes does it take to circulate 2.5 gallons of water?

Mathematics

1 answer:

Marizza181 [45]3 years ago

8 0

It takes 6 minutes to circulate 2.5 gallons of water

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What is 732 millimeters in meters

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7.32 meters. i hope this helps

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3 years ago

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Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(1). 2 8 10 4

Klio2033 [76]

Hello!

You can solve this by plugging 1 into $g(x)$ and plugging the result into $h(x)$ .

$g(x) = 2x$
$g(1) = 2(1)$
$g(1) = 2$

$h(x) = 2x + 4$
$h(g(1)) = 2(2) + 4$
$h(g(1)) = 4 + 4$
$h(g(1)) = 8$

Answer:
<span>(h ∘ g)(1) = 8</span>

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3 years ago

How many pounds of a 15% copper alloy must be mixed with 700lb of a 30% copper alloy to maybe a 25.5% copper alloy

lisov135 [29]

Answer:

$300\; \rm lb$ .

Step-by-step explanation:

Let $x$ represent the mass (in pounds) of that $15\%$ copper alloy required, such that the final mixture would contain $25.5\%$ copper by mass.

Consider: if $x$ pounds of that $15\%$ copper alloy is mixed with $700$ pounds that $30\%$ copper alloy, what would be the mass of copper in the mixture?

Mass of copper in $x$ pounds of that $15\%$ copper alloy: $(0.15\, x)\; \rm lb$ .
Mass of copper in $700$ pounds of that $30\%$ copper alloy: $700 \times 0.30 = 210\; \rm lb$ .

Therefore, the mixture would contain $(210 + 0.15\, x) \; \rm lb$ of copper.

The mass of that mixture would be $(700 + x)\; \rm lb$ . The mass fraction of copper in that mixture would be:

$\displaystyle \frac{(210 + 0.15\, x)\; \rm lb}{(700 + x)\; \rm lb} \times 100\%$ .

This ratio is supposed to be equal to $25.5\%$ . These two pieces of equations combine to give an equation about $x$ :

$\displaystyle \frac{(210 + 0.15\, x)\; \rm lb}{(700 + x)\; \rm lb} \times 100\% = 25.5\%$ .

$\displaystyle \frac{210 + 0.15\, x}{700 + x} = 0.255$ .

Simplify and solve for $x$ :

$210 + 0.15\, x= 0.255\, (700 + x)$ .

$(0.255 - 0.15)\, x= 210 - 0.255 \times 700$ .

$\displaystyle x = \frac{210 - 0.255 \times 700}{0.255 - 0.15} = 300$ .

Therefore, $300\; \rm lb$ of that $15\%$ alloy would be required.

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3 years ago

You and five of your friends like to go to McDonalds once a week and get Happy Meals for the prize inside. McDonalds has just st

Pavel [41]

Answer:

The most suitable experimental simulation to find the probability of getting the six toys is by rolling the dice and recording the occurrences.

Step-by-step explanation:

As there are a total of 6 different dinosaurs, the probability of each of them is given as

P(X=one dinosaur)=1/6

In order to design an experiment, as the data is completely random and unknown, thus the experiment is designed such that the probability of individual option is 1/6.

In this regard the most suitable option is rolling a dice, numerous times and recording the occurrences accordingly.

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3 years ago

Mr Smith wants to ship a flagpole that is 5 1/2 feet long. Will the flagpole(f) fit in the box diagonally? Explain your answer.

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What are the dimensions of the box???

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