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4 years ago

Is 2 x+6-x=1/3(3x+18) a one solution ,no solution ,or an infinite numbers of solutions

1 answer:

5 0

To determine this, the first thing we should do is simplify the expression. As usual, bring like terms to either side of the "=" and then simplify.
2x + 6 - x = 1/3 (3x + 18)
x + 6 = 1/3 (3x + 18)
x + 6 = 1/3 (3x) + 1/3(18)
x + 6 = x + 6

We can already see that both sides have the same expression "x+6". Now, if you try to simplify any further, you will get 0=0. That means that for any value of x, the expression will simplify to 0=0. Because 0=0 is a true statement, for every value of x, the expression will be true. Therefore, there are an infinite number of solutions.

Hope this helped!! :D
Note: If you are still confused, let me know. I realize that I might have been a bit confusing in my explanation

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What is the surface area of the sides and closed rectangular end? ____ sq. ft.

Alenkasestr [34]

Without the roof panels, the surface area (except for the open panel) is 176.25 sq. ft.
With the roof panels, the surface area (except for the open panel) is 196.67 sq. ft.

The area of the rectangular sections (the sides without gables) is given by 10*6 = 60 sq. ft. There are two of these sides, for a total of 2*60 = 120 sq. ft.

The gables are triangles, which have an area formula of
A = 1/2bh

For the gables, this is 1/2(1.5)(7.5) = 5.625 sq. ft. Since there are two of them, this makes 2*5.625 = 11.25 sq. ft.

The closed side under a gable has an area of 6*7.5 = 45 sq. ft.

The two roof panels have an area of (4 1/12)(2 1/2) each:
49/12(5/2) = 245/24

There are two of them, which makes 490/24 = 20.42 sq. ft.

Without the roof panels, we have 45+11.25+120 = 176.25 sq. ft.
With the roof panels, we have 45+11.25+120+20.42 = 196.67 sq. ft.

4 0

4 years ago

The point P(5,1) lies on the curve y=5x. If Q is the point (x,5x), find the slope of the secant line PQ for the following values

sveta [45]

Answer:

Step-by-step explanation:

We have been given that the point $P(1,5)$ lies on the curve $y=5x$ . Q is the point $(x,5x)$ . We are asked to find the slope of the secant line $PQ$ for $x=5.1$ .

Let us find y-coordinate corresponding to $x=5.1$ for point P as:

$y=5(5.1)=25.5$

Now, we will use slope formula to find required slope.

$m=\frac{y_2-y_1}{x_2-x_1}$

Let point $(1,5)=(x_1,y_1)$ and point $(5.1,25.5)=(x_2,y_2)$ .

Using these points in slope formula, we will get:

$m_{PQ}=\frac{25.5-5}{5.1-1}=\frac{20.5}{4.1}=5$

Therefore, the slope of the line PQ is 5.

8 0

4 years ago

The figure is made up of a cylinder, a cone, and a half sphere. The radius of the half sphere is 3 inches. What is the volume of

Irina18 [472]

Answer:

The volume of the composite figure is 84π ≅ 263.89 inches³

Step-by-step explanation

- The composite figure consists of :

# Half sphere with radius 3 inches

# Cylinder with radius 3 inches and height 6 inches

# Cone with radius 3 inches and height 4 inches

- The volume of the sphere is 4/3 π r³

∴ The volume of the half sphere = 1/2 × 4/3 π r³ = 2/3 π r³

- The volume of the cylinder is π r² h

- The volume of the cone is 1/3 π r² h

* Now lets solve the problem

- The volume of the half sphere

∵ The radius of the half sphere = 3 inches

∵ The volume of it = 2/3 π r³

∴ The volume = 2/3 × π × (3)³ = 18π inches³

- The volume of the cylinder

∵ The radius of the cylinder = 3 inches

∵ The height of the cylinder = 6 inches

∵ The volume of it = π r² h

∴ Its volume = π × (3)² × 6 = 54π inches³

- The volume of the cone

∵ The radius of the cone = 3 inches

∵ The height of the cone = 4 inches

∵ The volume of it = 1/3 π r² h

∴ Its volume = 1/3 π × (3)² × 4 = 12π inches³

- Add all the volumes to find the volume of the composite figure

∴ The volume = 18π + 54π + 12π = 84π = 263.89 inches³

* The volume of the composite figure is 84π ≅ 263.89 inches³

6 0

3 years ago

Hello. STOP RIGHT THERE... Please help me

lions [1.4K]

Answer:

32x-24y-7

Step-by-step explanation:

Use the distributive property and multiply 4 by each term in the parentheses. 4 times 8x = 32x and 4 times -6y = -24y.

6 0

3 years ago

What is 3/2 - 1 equal

shtirl [24]

Your answer would most likely be 1/2 (open the image for your steps )

But if you're looking for the decimal of this problem it would be: 0.5

✌️Good luck on your assignment ✌️

4 0

3 years ago

Read 2 more answers