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fenix001 [56]
3 years ago
14

A metal alloy weighing 10 kg and containing 13% copper is melted and mixed with 4 kg of a different alloy which contains 83% cop

per. What percent of the resulting alloy is copper?
Mathematics
1 answer:
Vinil7 [7]3 years ago
4 0

Answer:

33%

Step-by-step explanation:

(13*10)+(83*4)=(14*x)

130+332=14x

462=14x

x=33

Please mark as Brainliest! :)

Have a nice day.

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The sum of two consecutive odd integers is 84. Find the two integers.
Rudik [331]

Answer: n + (n + 2) = 84

Step-by-step explanation:

If n is the smallest integer, the other integer must be two more than that, because it has to be odd. The two numbers add up to 84, so the other side of the equation is 84.

5 0
3 years ago
Read 2 more answers
In ΔABC, if m ∠A = m∠C, m∠B = ß (where ß is an acute angle), and BC = x, which expression gives the length of b, the side opposi
chubhunter [2.5K]

Answer:

The length of b is \sqrt{2x^2(1-cos\beta)}.

Step by step explanation:

Given information: In ΔABC, ∠A =∠C, ∠B = ß (where ß is an acute angle), and BC = x.

Since two angles are same therefore triangle ABC is an isosceles triangle and side AB and BC are congruent.

AB=BC=x

According to Law of cosine

b^2=a^2+c^2-2ac\cos B

b^2=x^2+x^2-2(x)(x)\cos \beta

b^2=2x^2-2x^2\cos \beta

b^2=2x^2(1-\cos \beta)

\sqrt{2x^2(1-cos\beta)}

Therefore the length of b is \sqrt{2x^2(1-cos\beta)}.

6 0
3 years ago
Last week marcella earned $432. Turing that week, she worked 8 hours for 4 days and 4 hours on one day. what was Marcella's pay
Step2247 [10]
The answer is approx. 10.8 per hour.

If you want to round it up, it would be 11. I prefer you not to round though as this is Money. Money should have decimals included.
8 0
3 years ago
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QS¯¯¯¯¯¯¯ bisects ∠PQR . If m∠PQS = 5x and m∠RQS = 2x + 6, then what is m∠PQR ? m∠PQR is
soldi70 [24.7K]

Answer:

PQR = 20

Step-by-step explanation:

Given

Bisector: QS

PQS = 5x

RQS = 2x + 6

Required

Determine PQR

Since PQR is bisected to PQS and RQS, we have that

PQS = RQS

Substitute expressions for PQS and RQS

5x = 2x + 6

Collect Like Terms

5x - 2x = 6

3x = 6

Divide both sides by 3

x = 2

Solving for PQR;

PQR = PQS + RQS

PQR = 5x + 2x + 6

PQR = 7x + 6

Substitute 2 for x

PQR = 7 * 2 + 6

PQR = 14 + 6

PQR = 20

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3 years ago
Which equation does not represent the percentage of the votes?
Vladimir [108]
I would say 92 * x = 115
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