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2 years ago

PLS HELP! DUE TODAY AND WILL MARK BRAINLIEST

Mathematics

1 answer:

Sauron [17]2 years ago

4 0

Answer:

I believe the answer is D: 10

Step-by-step explanation:

If the other line is 2 segments of 5 and from the center to both lines is the same then x and the other line should be equal

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How many grams of an alloy containing 25% silver should be melted with 50 grams of an alloy containing 60% silver in order to ob

Kipish [7]

Answer:

20 grams of an alloy containing 25% silver has to be melted with 50 grams of an alloy containing 60% silver to obtain a final alloy containing 50% silver

Step-by-step explanation:

We define

$A_{a}=50g @ 60\%$ , wich means alloy a has 50 grams containing 60% silver.

$A_{b}=xg @ 25\%$ , wich means alloy b has x grams containing 25% silver.

So we can build an equiation $50 \times 0.60+x \times 0.25=\frac{1}{2}(50+x)$ , as half of the final alloy has to be silver. Then solving for x

$30+0.25x=25+0.5x\\30-25=0.5x-0.25x\\5=0.25x\\x=\frac{5}{0.25}=20$

Wich means 20 grams of an alloy containing 25% silver ( $A_{b}$ ) has to be melted with 50 grams of an alloy containing 60% silver ( $A_{a}$ ) to obtain a final alloy containing 50% silver.

7 0

4 years ago

What is the volume of the cylinder shown below?

Fofino [41]

The volume:
Pi x r^2 x h

V = pi x 12^2 x 7
V = 1008pi units^3
The answer would be a
hope it helps.

5 0

4 years ago

Read 2 more answers

Tim has a recipe for chocolate mousse. The recipe is for 8 people. The recipe needs 200g of . Tim wants to make chocolate mousse

Elan Coil [88]

If the recipe needs 200g of chocolate bars, and that recipe feeds 8 people, you need to figure out how many times you'd have to make a recipe to feed 50 people.

50 is not a factor of 8, so we have to break the recipe down. if 200g of chocolate feeds 8 people, then it's safe to assume that 100g feeds 4 people, and 50g feeds 2 people.

The closest you get to 50 without exceeding it by a factor of 8 is 6 x 8= 48. You'd be missing the chocolate for two people, all you have to do is add 50 grams of a chocolate bar.

You have to multiply each ingredient by 6 therefore everything is exactly the same, just amplified. 200 x 6 =1200, which means you'd need 1200g of chocolate bars + 50g to make a mousse for 50 people.

Each chocolate bar has 150g, so now what you do is you get the 1250g and divide it by 150g. This will tell you the amount of chocolate bars you need to complete the recipe for 50 people. The answer is 8.33333, which means Tim will have to buy 9 chocolate bars.

7 0

3 years ago

The volume of a room is 640 cubic feet. If the length is 10 feet and the width is 4 feet, find the heigh

Allisa [31]

Answer:

Step-by-step explanation:

10 · 4 = 40

640/40= 16

4 0

2 years ago

The following integral requires a preliminary step such as long division or a change of variables before using the method of par

shtirl [24]

Division yields

$\dfrac{x^4+7}{x^3+2x} = x-\dfrac{2x^2-7}{x^3+2x}$

Now for partial fractions: you're looking for constants a, b, and c such that

$\dfrac{2x^2-7}{x(x^2+2)} = \dfrac ax + \dfrac{bx+c}{x^2+2}$

$\implies 2x^2 - 7 = a(x^2+2) + (bx+c)x = (a+b)x^2+cx + 2a$

which gives a + b = 2, c = 0, and 2a = -7, so that a = -7/2 and b = 11/2. Then

$\dfrac{2x^2-7}{x(x^2+2)} = -\dfrac7{2x} + \dfrac{11x}{2(x^2+2)}$

Now, in the integral we get

$\displaystyle\int\frac{x^4+7}{x^3+2x}\,\mathrm dx = \int\left(x+\frac7{2x} - \frac{11x}{2(x^2+2)}\right)\,\mathrm dx$

The first two terms are trivial to integrate. For the third, substitute y = x ² + 2 and dy = 2x dx to get

$\displaystyle \int x\,\mathrm dx + \frac72\int\frac{\mathrm dx}x - \frac{11}4 \int\frac{\mathrm dy}y \\\\ =\displaystyle \frac{x^2}2+\frac72\ln|x|-\frac{11}4\ln|y| + C \\\\ =\displaystyle \boxed{\frac{x^2}2 + \frac72\ln|x| - \frac{11}4 \ln(x^2+2) + C}$

7 0

2 years ago