Which functions represent the arithmetic sequence 8, 1.5, –5,

The ordered pair (22, -45) is located in which quadrant of a coordinate plane?

Sergeu [11.5K]

Answer:

where is the graph

Step-by-step explanation:

3 0

3 years ago

Stock worth $80 a share dropped in value by 15% on Tuesday, then increased by $7 the next Wednesday and, finally, increased by 1

Nutka1998 [239]

<h2>Steps</h2>

So here are a couple expressions when a value changes by percentage (p = percentage in decimal form and m = original value):

When <em>decrease</em>: (1 - p)m
When <em>increase</em>: (1 + p)m

So firstly, the $80 share dropped by 15%. Since this is a <em>decrease</em>, follow the appropriate expression:

$15\%=0.15\\\\(1-0.15)*80\\0.85*80\\68$

<em>On Tuesday, the share went from $80 to $68</em>

Next, on Wednesday the share increased by $7. With this, just add $68 and 7.

$68+7=75$

<em>On Wednesday, the share went from $68 to $75</em>

Lastly, on Thursday the share increased by 12%. Since this is an <em>increase</em>, follow the appropriate expression:

$12\%=0.12\\\\(1+0.12)*75\\1.12*75\\84$

<h2>Answer</h2>

<u>The final price of the share is $84.</u>

7 0

3 years ago

Marc wants to guess how many marbles are in a box that has a height of 18 inches. He calculates that there are 32 marbles in a h

Rainbow [258]

So every 5 inches in height, there are 32 marbles. You want to know how many marbles there are per 18 inches in height.

$\frac{32}{5} = \frac{x}{18}$

To get from 5 to 18, you multiply by 3.6.

Do the same thing to the numerator; 32 × 3.6 = 115.2.

Since 0.2 marbles is no marbles, you round down.

There are 115 marbles in the box.

♡ Hope this helps! ♡

❀ 0ranges ❀

8 0

3 years ago

Jawad has seven rocks.

ad-work [718]

680 grams.

So, it's telling us to calculate the weight, in grams, of the other rock.

So firstly,

6 of the rocks EACH have a weight of 720 grams.

So, 6 x 720 = 4320

Now save 4320 for later.

Next, we need to convert the 5 kilograms into grams.

So, 5 x 1000 = 5000

now do, 5000 - 4320 = 680.

Your final answer would then be = 680g

I hope this helped.

3 0

3 years ago

A 150 no container can hold 23.6 g of aluminum what is the density of the aluminum?

Drupady [299]

Answer:

# The density of the aluminum is 59/375 ≅ 0.157 g/cm³

# The volume of the container is 4/17 ≅ 0.235 cm³

# The mass of iron is 1225 g

Step-by-step explanation:

* Lets explain how to solve the problem

- Density is a measurement that compares the amount of matter

of an object to its volume [ Density = mass/volume]

- Density is found by dividing the mass of an object by its volume

- The unit of measuring density is gram per centimeter³ (milliliter)

* Lets solve the problems

# A container of volume 150 cm³ can hold 23.6 g of aluminum

∵ Density = mass/volume

∵ The mass = 23.6 g

∵ The volume = 150 cm³

∴ The density = 23.6/150 = 59/375 ≅ 0.157 g/cm³

* The density of the aluminum is 59/375 ≅ 0.157 g/cm³

# The density of mercury is 13.6 g/cm³ at 23 C°

- A container can hold 3.2 g of mercury at this temperature

∵ Density = mass/volume

∵ The mass = 3.2 g

∵ The density = 13.6 g/cm³

∴ 13.6 = 3.2/volume

- By using cross multiplication

∴ The volume = 3.2/13.6 = 4/17 cm³

* The volume of the container is 4/17 ≅ 0.235 cm³

# The density of the iron is 4.9 g/cm³

- The beaker has a volume 250 ml

∵ Density = mass/volume

∵ The ml = cm³

∴ The volume of the beaker is 250 cm³

∵ The density = 4.9 g/cm³

∴ 4.9 = mass/250

- Multiply both sides by 250

∴ mass = 1225 g

* The mass of iron is 1225 g

7 0

3 years ago

Which functions represent the arithmetic sequence 8, 1.5, –5, –11.5 . . . ? Check all that apply.