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3 years ago

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The absolute value of -202.8

1 answer:

SCORPION-xisa [38]3 years ago

8 0

The answer is 202.8

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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.

4 0

3 years ago

Rewrite the expression by combining like terms. 4x2 - 2x2 + 2y + 6y2 - y + x2

olasank [31]

Answer:

32 +6y^2+

Step-by-step explanation:

3 0

3 years ago

What type of decimal is 0.275

Mnenie [13.5K]

D. Complex Decimal.

5 0

3 years ago

Read 2 more answers

R/7.1 = 4.2<br><br>what is r =

MissTica

Answer:

r =29.82

Step-by-step explanation:

r/7.1 = 4.2

Multiply each side by 7.1

r/7.1 *7.1 = 4.2*7.1

r =29.82

8 0

3 years ago

What are the coordinates of the midpoint?

xz_007 [3.2K]

Answer:

Midpoint (4|7)

Step-by-step explanation:

A(2,6) and B(6,8)

at first add the x values and divide it by two

(2+6)/2=4

second, add the y values and divide it by two

(6+8)/2=7

Midpoint (4|7)

-> and you can see it it is exactly in the middle of line segment

3 0

3 years ago