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nalin [4]
3 years ago
8

A metallurgist wants to make 130 grams of an alloy that is to be 20% copper. She has samples that are 14% copper and 22% copper.

How many grams of the sample that contains 14% should she use?
Mathematics
1 answer:
bija089 [108]3 years ago
8 0

Answer:

She should use 32.5 g of the sample that contains 14%

Step-by-step explanation:

Here, we want to know the number of grams of the sample that contains 14% copper that should be used

let the number of grams that contains 14% copper to be used be x

Then the number of grams of 22% will be 130-x

Thus, mathematically;

0.14(x) + 0.22(130-x) = 0.2(130)

0.14x + 28.6 - 0.22x = 26

0.22x - 0.14x = 28.6 - 26

0.08x = 2.6

x = 26/0.08

x = 32.5

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Solve using any method. All work must be shown and handwritten.
Rashid [163]

Answer:

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y = 1

Step-by-step explanation:

Write the system

3x - y =  - 10

x + y =  - 2

Solve by Elimination.

multiply the second equation by -3.

3x - y =  - 10

-3x   - 3y =  6

Add the Equations.

- 4y =  - 4

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Plug this back in one of the equations.

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8 0
2 years ago
Read 2 more answers
From a radar station, the angle of elevation of an approaching airplane is 32.5 degree. The horizontal distance between the plan
denis23 [38]

Answer: 42.21 km

Step-by-step explanation:

We can solve this using trigonometry, since we have the following data:

\theta=32.5\° is the the angle of elevation

d=35.6 km is the horizontal distance between the plane and the radar station

x is the hypotenuse of the right triangle formed between the radar station and the airplane

Now, the trigonometric function that will be used is <u>cosine</u>:

cos\theta=\frac{d}{x} because d is the adjacent side of the right triangle

cos(32.5\°)=\frac{35.6 km}{x}

Finding x:

x=\frac{35.6 km}{cos(32.5\°)}

x=42.21 km

4 0
3 years ago
Someone please help me answer this!!
dybincka [34]

Answer:

17.9 units is the answer

Step-by-step explanation:

points are (-7,-2) and (9,6)

Pythagorean theorem can be written as,

d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{9-(-7))^2 + (6-(-2))^2}\\\\d=\sqrt{(16)^2+(8)^2} \\\\d=\sqrt{256+64} \\\\d=\sqrt{320} \\\\d=17.88

Rounding off,

d = 17.9 units

7 0
3 years ago
How do I Use the numbers 8, 6, and 2 and one to write an expression that includes an exponent and has a value of 8.
liberstina [14]

Answer:

Step-by-step explanation:

8,6,2, and 1

(2^6 / 8) * 1  = (64/8) * 1 = 8 * 1 = 8

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3 years ago
Joey answered 21 out of 25 questions correctly on a quiz what percent of his answers were correct
DedPeter [7]

Answer:

84%

Step-by-step explanation:

Joey gives 21 correct answers out of 25 questions on a quiz.

We have to calculate the percent of Joey's correct answer.

Now, percentage of x out of y is given by the simple expression \frac{x}{y} \times 100%.

Hence, the percentage of correct answer given by Joey is given by  

\frac{21}{25} \times 100 = 84%. ( Answer )

8 0
2 years ago
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