Myrtle Gould's total sales last month were $180,700, and her commission was $5,040. She earns a

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

Bogdan [553]

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

8 0

2 years ago

Briana bought 3 bottles of ketchup and 2 bottles of mustard and for $11.85. Logan bought 2 bottles of ketchup and 5 bottles of m

zheka24 [161]

<h2>Answer:</h2><h2>The cost of ketchup bottle, x = 2.89</h2><h2>The cost of mustard bottle, y = 1.59</h2>

Step-by-step explanation:

Let the ketchup be represented as x and mustard as y

Briana bought 3 bottles of ketchup and 2 bottles of mustard and for $11.85

3x + 2y = 11.85 ...(1)

Logan bought 2 bottles of ketchup and 5 bottles of mustard for $13.73.

2x + 5y = 13.73 ...(2)

Multiplying eq (1) by 2, we get

6x + 4y = 23.7 ...(3)

Multiplying eq (2) by 3, we get

6x + 15y = 41.19 ...(4)

Subtracting eq (3) from (4),

we get 11y = 17.49

y = 1.59, substitute it in eq(1), we get

x = 2.89

Therefore, the cost of ketchup bottle, x = 2.89

The cost of mustard bottle, y = 1.59

3 0

2 years ago

An observer on the ground is x meters from the base of the launch pad of a rocket, which is at the same level as the observer. A

Firlakuza [10]

This can be solved using trigonometric functions. The distance x serves as one leg of a triangle, and makes an angle q with the hypotenuse. The distance from the tip of the rocket to the ground make up the other leg of the triangle. So solving this:

tan q = y / x

Where: y = distance from the tip of the rocket to the ground

Therefore, y = x tan q

Among the choices, the correct answer is C.

5 0

2 years ago

Read 2 more answers

Given a soda can with a volume of 36 and a diameter of 4, what is the volume of a cone that fits perfectly inside the soda can?

spin [16.1K]

First we need to find the heigh of the soda can be rearanging the volume formula, . We can make that We know that V is 36 and radius is half of the diameter, so radius is 2.

h = 2.87

Now, we can use the height to figure out the volume of a cone. The volume of a cone is
R is 2 again and h is 2.87

12.56*.96 = 12.0576
So a cone with a volume of 12.0576 is the largest that will fit into the soda can

6 0

2 years ago

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Expand and simplify (k-3)^7

nikklg [1K]

There are a couple of ways you can solve this. You can write it out like
(K-3)(K-3)(K-3)(K-3)(K-3)(K-3)(K-3)
And pretty much use the foil method
Or you can use the binomial theorem (google it if you dont know)
The solution should be:
(K^7) - 21(k^6) + 189(k^5) - 945(k^4) + 2835(k^3) - 5103(k^2) + 5103k - 2187

3 0

2 years ago

Read 2 more answers