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Alja [10]
3 years ago
12

Reduce 1.256 g to micrograms, to milligrams, and to kilograms.

Mathematics
1 answer:
ch4aika [34]3 years ago
5 0

Answer:

1.256g = 1,256,000 micrograms

1.256g = 1256mg

1.256g = 0,001256kg

Step-by-step explanation:

This is a conversion of units problem, that can be solved by rules of three.

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: 1.256g to micrograms

Each g has 1,000,000 ug. So:

1g - 1,000,000 ug

1.256g - xug

x = 1,000,000*1.256

x = 1,256,000 micrograms

Second step: 1.256g to mg

Each g has 1,000 mg. So:

1g - 1,000mg

1.256g - xmg

x = 1,000*1.256

x = 1256mg

Final step: 1.256g to kg

Each kg has 1,000g. So:

1kg - 1,000g

xkg - 1.256g

1,000x = 1.256

x = \frac{1.256}{1,000}

x = 0,001256kg

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Two cyclists start at the same point and travel in opposite directions. One cyclist travels 4 km per hour faster than the other.
yaroslaw [1]

Answer:

the rate of the first cyclist: 28km/h

the rate of the 2nd cyclist 28+4= 32km/h

Step-by-step explanation:

x= the rate of the first cyclist

x+4= the rate of the 2nd cyclist

after 4 hours: + the first cyclist travels 4x  (km)

                       + the 2nd cyclist travels 4(x+4)  (km)

because the two cyclists are 240 km apart after 4 hours

=> 4x + 4(x+4) = 240 => x= 28

i hope it's useful forr u =)))

5 0
2 years ago
The area of the circle is 144π m2<br><br> What is the diameter of the circle?
Over [174]

Answer:

Step-by-step explanation:

Remember that

Area of Circle = \pi r^2

\pi  = pi \\r = radius

They told us that for this circle, the area is 144\pi  m^2

If you put it back into the formula for area of a circle we get:

Area of Circle = \pi r^2

144\pi = \pi r^2

Divide both sides by \pi.

144 = r^2

Now we want to solve for r (r = radius).

You need to square root each side

\sqrt{144} = \sqrt{r^2}

12 = r

So now we know the radius, r = 12 metres

Also remember that

Diameter = 2r

So,

Diameter = 2 times 12 = 24 metres

5 0
3 years ago
X/2 = Y/3 = Z/4. prove that :2X-Y+5Z / 3Y-X =3. note :: (/) is for a fraction aka divide. help pls I've been stuck on it for a f
sweet-ann [11.9K]

The given equation

x/2 = y/3 = z/4

can be broken into three separate equations which I'll call equations (A), (B) and (C)

  • x/2 = y/3 ..... equation (A)
  • y/3 = z/4 .... equation (B)
  • x/2 = z/4 .... equation (C)

We'll start off solving for z in equation (C)

x/2 = z/4

4x = 2z ... cross multiply

2z = 4x

z = 4x/2 ... divide both sides by 2

z = 2x

Now let's solve for y in equation (A)

x/2 = y/3

3x = 2y

2y = 3x

y = 3x/2

y = (3/2)x

y = 1.5x

The results of z = 2x and y = 1.5x both have the right hand sides in terms of x. This will allow us to replace the variables y and z with something in terms of x, which means we'll have some overall expression with x only. The idea is that expression should simplify to 3 if we played our cards right.

We won't be using equation (B) at all.

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

The key takeaway from the last section is that

  • z = 2x
  • y = 1.5x

Let's plug those items into the expression (2x-y+5z)/(3y-x) to get the following:

(2x-y+5z)/(3y-x)

(2x-y+5(2x))/(3y-x) ..... plug in z = 2x

(2x-y+10x)/(3y-x)

(12x-y)/(3y-x)

(12x-1.5x)/(3(1.5x)-x) .... plug in y = 1.5x

(12x-1.5x)/(4.5x-x)

(10.5x)/(3.5x)

(10.5)/(3.5)

3

We've shown that plugging z = 2x and y = 1.5x into the expression above simplifies to 3. Therefore, the equation (2x-y+5z)/(3y-x) = 3 is true when x/2 = y/3 = z/4. This concludes the proof.

5 0
2 years ago
Slope of a line perpendicular to the line whose equation is 3x-3y=-63
ivanzaharov [21]

Answer:

slope perpendicular= -1

Step-by-step explanation:

3x-3y=-63

-3y=-3x-63           divide both sides by -3

y=1x+21

Perpendicular lines have slopes that are the opposite of the reciprocal of each other

3 0
3 years ago
Help plz will be marked brainlyist
garik1379 [7]

Answer:

Not proportional

Step-by-step explanation:

If x and y are proportional then the equation relating them is

y = kx ← k is the constant of proportionality

To determine if x and y are in proportion then k must be equal for all ordered pairs, that is

k = \frac{y}{x}

(2, 0) k = \frac{0}{2} = 0

(4, 2) → k = \frac{2}{4} = \frac{1}{2}

(6, 4) → k = \frac{4}{6} = \frac{2}{3}

(8, 6) → k = \frac{6}{8} = \frac{3}{4}

Since k is not constant for all values then not in proportion

6 0
3 years ago
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