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aleksandr82 [10.1K]

2 years ago

11

How many runners ran fewer than 4 km?

2 answers:

Vinvika [58]2 years ago

4 0

10 runners ran fewer than 4 km

ICE Princess25 [194]2 years ago

3 0

10(ten) runners ran less than 4 meters.

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Which coins have a diameter with 5 in the hundredths place 0.750 0.835 or 0.955

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3 years ago

Divide. Round your answer to the nearest hundredth 1÷3

ipn [44]

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2 years ago

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Solve<br> 2(x+4)= 20<br> Solve this please

Natasha2012 [34]

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2 years ago

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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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2 years ago

If 1:2 represents the amount of students that walked and the amount of students that took the subway and 1:3 represent the amoun

vivado [14]

Answer:

If 3 students walked, then according to the given ratios, 18 students would have taken the bus.

Step-by-step explanation:

Given: 3 Walkers

1:2 --> 3:6 walkers to subway

1:3 --> 6:18 subway to bus riders

4 0

2 years ago