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MaRussiya [10]
2 years ago
5

An alloy of tin is 15% tin and weights 20 pounds. A second allow is 10% tin. How many pounds of the second alloy must be added t

o the first to get a 12% mixture?
30 lb

40 lb

60 lb
Mathematics
1 answer:
Fofino [41]2 years ago
8 0
Let x represent the amount to be added. The total amount of tin will be
  15%·20 + 10%·x = 12%·(20+x)
  (15%-12%)·20 = (12%-10%)·x
  3%·20/2% = x
  30 = x

30 pounds of 10% tin must be added to get a 12% mixture.
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A math class is having a discussion on how to determine if the expressions 4 x minus x + 5 and 8 minus 3 x minus 3 are equivalen
Brut [27]

Answer:

  • Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.

Step-by-step explanation:

<u>Given expressions</u>

  • 4x - x + 5 = 3x + 5
  • 8 - 3x - 3 = -3x + 5

Compared, we see the expressions are different as 3x and -3x have different coefficient

<u>Answer options</u>

Both expressions should be evaluated with one value. If the final values of the expressions are both positive, then the two expressions must be equivalent.

  • Incorrect. Positive outcome doesn't mean equivalent

----------------------------------------

Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent.

  • Incorrect. There are 2 values- variable and constant

----------------------------------------

Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are positive, then the two expressions must be equivalent.

  • Incorrect. Positive outcome doesn't mean equivalent.

----------------------------------------

Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.

  • Correct.  
3 0
3 years ago
How many times greater is 1,000,000 than 1,000?that is how many groups of 1 thousand are there in 1 million
fredd [130]

1,000,000 is 1,000 times greater then 1,000

Step-by-step explanation:

If you multiply 1,000x1,000 you'll get an answer of 1,000,000

Therefore, 1,000,000 is going to be 1,000 times greater

7 0
2 years ago
Given the line y = − 2 5 x + 3, determine if the given line is parallel, perpendicular, or neither. Select the correct answer fo
stiks02 [169]

Answer:

(a) Neither

(a) Perpemdicular

Step-by-step explanation:

Required

Determine the relationship between given lines

(a)

y = -\frac{2}{5}x + 3

and

y = \frac{2}{5}x + 7

An equation written in form: y=mx + b has the slope:

m \to slope

So, in both equations:

m_1 = -\frac{2}{5}

m_2 = \frac{2}{5}

For both lines to be parallel

m_1 = m_2

This is false in this case, because:

-\frac{2}{5} \ne \frac{2}{5}

For both lines to be perpendicular

m_1 * m_2 = -1

This is false in this case, because:

-\frac{2}{5} * \frac{2}{5} \ne -1

(b)

5y + 2x = -10

and

-5x + 2y = 4

Write equations in form: y=mx + b

5y + 2x = -10

5y = -2x +10

Divide by 5

y = -\frac{2}{5}x +2

-5x + 2y = 4

2y = 5x + 4

Divide by 2

y = \frac{5}{2}x + 2

In both equations:

m_1 = -\frac{2}{5}

m_2 = \frac{5}{2}

For both lines to be parallel

m_1 = m_2

This is false in this case, because:

-\frac{2}{5} \ne \frac{5}{2}

For both lines to be perpendicular

m_1 * m_2 = -1

This is true in this case, because:

-\frac{2}{5} * \frac{5}{2} = -1

Cancel out 2 and 5

-1 = -1

6 0
2 years ago
In which quadrant of the coordinate graph does point F lie?
cupoosta [38]
4 buddy now don’t forget that Brainly answer
5 0
2 years ago
Read 2 more answers
If x + y is rational, must x and y each be rational?
In-s [12.5K]
No.

If a rational number can be an integer, x and y could be 5.5 and .5, or something that adds up to (number).0.  This means, if the two non-rational numbers add up, they could be irrational, but the result isn't.
8 0
2 years ago
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