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2 years ago

Please due in an hour !!!

Mathematics

2 answers:

Masja [62]2 years ago

6 0

The correct answer is c.

tino4ka555 [31]2 years ago

3 0

C it is other guys right

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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

Maddie climbed 48 mountain in 12 month. find her climbing rate in mountain per month<br>

mina [271]

4 mountains per month, 48/12

4 0

3 years ago

Use the number line to determine the unknown addend in the given number sentence.

snow_tiger [21]

The ansers is 3 or letter a

8 0

3 years ago

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Find the least whole number that can make this statement true 15<_*400

Tatiana [17]

Answer:

The least whole number is the number 1

Step-by-step explanation:

we have

$15 < (x)400$

Remember that

<u>Whole numbers</u> are positive numbers, including zero, without any decimal or fractional parts [0,1,2,3,4,5,6,...]

Solve the inequality for x

Divide both sides by 400

$15/400 < x$

$0.0375 < x$

Rewrite

$x > 0.0375$

therefore

The least whole number is the number 1

7 0

3 years ago

you are serving bratwurst and hamburgers at your annual picnic. you want at least three bratwurst and hamburgers for each of you

Varvara68 [4.7K]

B for Brats and H for Hamburgers
3 total for each of 30 guests
B + H = 3x30 = 90
Then $1.25B + $0.75H <= to $120
Solving for B=90-H
1.25B + 0.75(90-B) <=120 yields cost of B is $52.50 so B = 42.
90-42 = 48 H
So you can buy 42 Brats and 48 Hamburgers

8 0

3 years ago

Read 2 more answers