All categories

1 year ago

What is the solution set 5.5x+15.5>32

Mathematics

1 answer:

vlada-n [284]1 year ago

5 0

Answer:

(3, ∝) or all values of x greater than +3

Step-by-step explanation:

The inequality is $5.5x + 15.5 > 32$

Subtracting 15.5 from both sides yields

5.5x > 32 - 15.5 or 5.5x > 16.5

Dividing by 5.5 on both sides yields

x > 16.5/5.5 or x > 3

This means the inequality is valid for all values of x > 3

The solution set is the interval (3, ∝ )

You might be interested in

How to solve it and to get the answear

Vesnalui [34]

Answer:

7. 5832

Step-by-step explanation:

Volume Formula: Length times Height times Width

7. 18*18*18=5832

(Sorry don't know other one)

4 0

3 years ago

Two garen plots are to have the same area. One is square and one is rectangular. The rectangular plot is 2 meters wide and 32 me

Brrunno [24]

Answer:

Length l = 8 m

The length of one side of the square is 8 m

Step-by-step explanation:

The area of a rectangle is;

Area = length × breadth

Given;

Length = 32 m

Breadth = 2 m

Area of the rectangle can be expressed as;

A = 32 × 2 = 64 m^2

Area of a square is;

Area = length × length = l^2

Since the area of the square is equal to the area of the rectangle, then the area of the square is 64 m^2

A = l^2

64 = l^2

l = √64

l = 8 m

The length of one side of the square is 8 m

5 0

3 years ago

13 is to 8 as x + 4 is to x

tamaranim1 [39]

$\frac{13}{8} = \frac{x+4}{x} \\ 13 * x = 8(x+4) \\ 13x = 8x + 32 \\ 5x = 32 \\ x = 6.4$

7 0

4 years ago

Pls help me in this i really need help :( :)

Andrews [41]

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

First off, let's write the line in point-slope form:

$\rm \hookrightarrow (y-y_0)=m(x-x_0)$

(x₀, y₀) any random point on the line
'm' is the value of the slope

Let's calculate the slope:

$\rm \hookrightarrow Slope = \frac{y_2-y_1}{x_2-x_1}$

(x₁, y₁): any random point on the line ⇒ (-2, -6)
(x₂,y₂): any random point on the line that is not (x₁, y₁) ⇒ (2, -3)

$\rm \hookrightarrow slope = \frac{-3--6}{2--2} =\frac{3}{4}$

Now that we found the slope, let's put it into the point-slope form

⇒ we need (x₀, y₀) ⇒ let's use (2,-3)

$(y-(-3))=\frac{3}{4} (x-2)\\y+3=\frac{3}{4} (x-2)$

The equation, however, could also be put into 'slope-intercept form'

⇒ gotten by isolating the 'y' variable to the left

$y = \frac{3}{4}x-\frac{9}{2}$

Answer: $y = \frac{3}{4}x-\frac{9}{2}$ or $y+3=\frac{3}{4} (x-2)$

*Either equations work, put the one that you are the most familiar with

Hope that helps!

#LearnwithBrainly

5 0

2 years ago

Geometry Question. Large point value.

Marta_Voda [28]

Answer:

$\large\boxed{\pi(2ft)^2(8.5ft)+\dfrac{1}{3}\pi(2ft)^2(13ft-8.5ft)}$

Step-by-step explanation:

The formula of a volume of a cylinder:

$V=\pi r^2H$

The formula of a volume of a cone:

$V=\dfrac{1}{3}\pi r^2H$

r - radius, H - height

We have in

cylinder:

r = 4ft : 2 = 2ft, H = 8.5ft

cone:

r = 4ft : 2 = 2ft, H = 13 ft - 8.5ft

The volume of the silo:

$V=V_{cylinder}+V_{cone}$

Substitute:

$V=\pi(2ft)^2(8.5ft)+\dfrac{1}{3}\pi(2ft)^2(13ft-8.5ft)$

3 0

3 years ago