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vladimir2022 [97]
2 years ago
13

Glven: 3x < 9. Choose the solution set.

Mathematics
2 answers:
Kitty [74]2 years ago
8 0

Answer:

x<3

Step-by-step explanation:

3x< 9

Divide each side by 3

3x/3 <9/3

x < 3

There is an open circle at 3 and a line going to the left

Talja [164]2 years ago
3 0

Answer:

x<3

Step-by-step explanation:

We divide equation by 3. So we get x<3. You can think of it with logic, too.

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If two cylinders have the same radius, but one has a height two times larger
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The volume of the large cylinder will be twice the volume of the small cylinder.

<u>Step-by-step explanation:</u>

Let the radius of the cylinder be 'r'

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A cell phone company charges $20 for registration and $0.5 for every minute call, write an equation to model the cost C(x) for u
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Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
3) An open top box is to be constructed out of a 90 inch by 70 inch piece of cardboard by cutting squares out of the corners and
Elena L [17]

Answer:

a) The volume in cubic inches is 36000

b) The volume in cubic feet is 125/6

c) The volume in cubic yard is 125/162

Step-by-step explanation:

* Lets study the information of the problem to solve it

- The dimensions of the piece of cardboard are 90 inches by 70 inches

- The side of the cutting square is 15 inches

- The squares are cutting from each corner

∴ Each dimension of the cardboard will decrease by 2 × 15 inches

∴ The new dimensions of the piece of cardboard are;

90 - (15 × 2) = 90 - 30 = 60 inches

70 - (2 × 15) = 70 - 30 = 40 inches

- The dimensions of the box will be:

# Length = 60 inches

# width = 40 inches

# height = 15 inches

- The volume of any box with three different dimensions is

V = Length × width × height

∵ The length = 60 inches

∵ The width = 40 inches

∵ The height = 15 inches

∴ V = 60 × 40 × 15 = 36000 inches³

a) The volume in cubic inches is 36000

* Now lets revise how to change from inch to feet

- 1 foot = 12 inches

∵ 1 foot = 12 inches

∴ 1 foot³ = (12)³ inches³

∴ 1 foot³ = 1728 inches³

∵ The volume of the box is 36000 inches³

∴ The volume of the box in cubic feet = 36000 ÷ 1728 = 125/6  

b) The volume in cubic feet is 125/6

* Now lets revise how to change from feet to yard

- 1 yard = 3 feet

∵ 1 yard = 3 feet

∴ 1 yard³ = (3)³ feet³

∴ 1 yard³ = 27 feet³

∵ The volume of the box is 125/6 feet³

∴ The volume of the box in cubic yard = 125/6 ÷ 27 = 125/162  

c) The volume in cubic yard is 125/162

8 0
3 years ago
Read 2 more answers
(q^4)^z= q^12 find the value of z
juin [17]

Answer:

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Step-by-step explanation:

we use the method

(x^a)^b = x^(a*b)

so

(q^4)^z = q^(4*z)

now

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z = 12 / 4

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z = 3

4 0
3 years ago
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