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3 years ago

Translate the phrase "nine more than two times a number" into an algebraic expression. what is the answer to this

Mathematics

1 answer:

svlad2 [7]3 years ago

5 0

Answer:

The algebraic expression will be: $2x+9$ , where $x$ is the number.

Step-by-step explanation:

Suppose, the number is $x$

Now, "two times the number" means 2 is multiplied with the number. As the number is $x$ , so "two times the number" will be: $2x$

Then "9 more than" means 9 is added. So, "9 more than 2x" will be: $2x+9$

Thus, the algebraic expression will be: $2x+9$

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1 year ago

An item costs $45.60. If there is a 30% discount on the item, what is the discounted cost of the item?

kondor19780726 [428]

Discounted Cost= Cost of Item - (Cost of Item * % Discount)

= $45.60 - ($45.60 * 30%)
convert % to decimal (30% ÷ 100)

= 45.60 - (45.60 * 0.30)
multiply in parentheses

= 45.60 - 13.68

= $31.92 discounted cost

ANSWER: The discounted cost of the item is $31.92 (savings of $13.68).

Hope this helps! :)

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3 years ago

-3(4x-8.2)< -11.98x + 14 3 /4

Leona [35]

The answer would be C

6 0

3 years ago

Find the area and the circumference of the circle. Round your answers to the nearest hundredth.

Alik [6]

Answer:

$area = 200.96 \: {units}^{2} \\ circumfrence = 50.24 \: units$

Step-by-step explanation:

The formula to find the area and circumference of a circle is:

$area = \pi {r}^{2} \\ circumfrence = 2\pi \: r$

*note that pi is 3.14* Therefore the area is:

$formula = \pi {r}^{2} \\ 3.14 \times {8}^{2} = \\ 3.14 \times 64 = 200.96$

Therefore the circumference is:

$formula = \: 2\pi \: r \\ (2)(3.14)(8) = \\ 3.14 \times 16 = 50.24$

3 0

2 years ago

A cylindrical container has a radius of 3 centimeters and a height of 12 centimeters. The container is filled with water up to t

evablogger [386]

Answer:

volume of empty space = 141.3 cm³

Step-by-step explanation:

volume of empty space = volume of the cylinder - volume of water

First, we need to calculate the volume of the container

volume of a cylinder = πr²h

where r = radius of the container and h is the height of the container

r = 3cm and h = 12 cm π is a constant which is ≈ 3.14

volume of a cylinder = πr²h

=3.14 × 3²×12

=3.14×9×12

=339.12 cm³

We will proceed to find the volume of water

since liquid will take the shape of its container,

then volume of water = πr²h

r is the radius of the container and h is the height of the water

r = 3cm and h = 7cm

volume of water = πr²h

= 3.14 ×3²×7

=3.14×9×7

=197.82 cm³

volume of empty space = volume of the cylinder - volume of water

=339.12 cm³ - 197.82 cm³

= 141.3 cm³

WE CAN SOLVE DIRECTLY

height of empty space = height of container - height of water

= 12 - 7

=5 cm

volume of empty space = πr²h

=3.14×3²×5

=3.14×9×5

=141.3 cm³

volume of empty space = 141.3 cm³

4 0

3 years ago