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Varvara68 [4.7K]
3 years ago
6

From the set {-252, -64, 64}, use substitution to determine which value of x makes the equation true.

Mathematics
1 answer:
Effectus [21]3 years ago
3 0

9514 1404 393

Answer:

  x = 64

Step-by-step explanation:

I find it easier to solve the equation, which requires 1 operation. Substituting 3 numbers requires 3 operations, so is 3 times the work. (I'm basically lazy.)

  4x = 256 . . . . given

  x = 256/4 = 64 . . . . the last of the listed values

__

Alternatively, you can let a graphing calculator or spreadsheet try the list of values for you. That result is attached.

_____

Since you know the rules of signed multiplication, you know that x must be positive. Only one answer choice is positive, so you really only need to try one number.

  4(64) = 256 . . . . true, so x = 64

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Add 0.0025 kg, 1750 mg, 2.25 g, and 825,000 μg, and express the answer in grams.
kozerog [31]

Answer:

6.75g

Step-by-step explanation:

The first step is converting everything to grams, by rules of three. Then we add.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

Unit conversion problems, like this one, is an example of a direct relationship between measures.

First step: 0.0025kg to g

Each kg has 1000g, so:

1kg - 1000g

0.0025kg - xg

x = 1000*0.0025 = 2.5g

0.0025kg = 2.5g

Second step:  1750 mg

Each g has 1000mg, so:

1g - 1000mg

xg - 1750mg

1000x = 1750

x = \frac{1750}{1000}

x = 1.75g

1750 mg = 1.75g

2.25g - OK

Third step: 825,000 μg to g

Each g has 1,000,000 ug, so:

1g - 1,000,000 ug

xg - 825,000 ug

1,000,000x = 825,000

x = \frac{825,000}{1,000,000}

x = 0.25g

825,000 μg = 0.25g

Final step: adding everyting

0.25g + 2.25g + 1.75g + 2.50g = 6.75g

5 0
3 years ago
Plz help ................................
Elodia [21]

Answer:

1/4 is correct, or .25 in decimal form

Step-by-step explanation:

7 0
2 years ago
Suppose there is a 1.1 Fahrenheit a drop in temperature for every thousand feet that an airplane climbs into the sky and the tem
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Answer:

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Step-by-step explanation:

We know that the temp before take off is 57.9

We also know the temp decreases every 1,000 feet so

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We know that the temp drops 11 times

11x1.1=12.1

57.9-12.1=45.8 degrees

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3 years ago
If $3,600 is invested at a rate of 2.4% that is compounded annually, how much will it be worth after 9 years?
Alex787 [66]
Amount after 9 years = 3600( 1 + 0.024)^9  =   $4456.58
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3 years ago
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The answer for this problem is 7
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