Solve this inequality.
8x + 6 < 54
A. x < 6
B. x < 7.5
C.x < 14
D. x < 384​

Answer:

r = 1

Step-by-step explanation:

The equation is,

→ 6r - 1 + 6r = 11

Now the value of r will be,

→ 6r - 1 + 6r = 11

→ 12r = 11 + 1

→ r = 12/12

→ [ r = 1 ]

Hence, the value of r is 1.

Answer:

The answer is 1 r is equal to 1

Step-by-step explanation:

Answer:

91 scores

Step-by-step explanation:

Let x be the score meg get on fourth test,

Let the total sum of the scores in four test = 45 + 48 + 56 + x (91) = 149 + x

149 + x = 240

x = 91

So to put this in easier words, (45+48+56+91)/4=91

Hence, she should get 91 scores on the fourth test to get an average score of 60.

I hope this helps you, Enjoy!

Answer:

The answer for

x=3/4

y=3/2

Step-by-step explanation:

let bigger number be x

let the smaller number be y

x+y=3¾

x+y=15/4

x=15/4-y

x+1/2=2/3y

x+1/2=2y/3

15/4-y=2y/3

C.LT.

-y-2y/3= -15/4

-3y-2y/3= -15/4

-5y/3= -15/4

-5y×4=3×-15

-20y= -45

divide both sides by-20

-20y/-20= -45/-20

y=9/4

x+y=15/4

x=15/4-y

x=15/4-9/4

x=6/4

x=3/2

Answer: The ratio is 18:3

Step-by-step explanation:

Answer:  6 to 1

Step-by-step explanation:

A ratio refers to a fraction. In this case the question asks how many players to coaches there are.

The word "to" means that is where the fraction bar goes.

Players/Coaches

There are 18 players and 3 coaches.

18/3

18 can be divided by 3, 6 times so the fraction can be simplified to

6/1 meaning there are 6 players for every coach.

Answer:

Proportional

Step-by-step explanation:

Answer:

8.12

Step-by-step explanation:

Stephen has approximately $532.72 in his account at the end of 9 months with a 7.5% compound interest rate.

We can use the formula for compound interest to find the amount of money in Stephen's account at the end of 9 months:

A =P \((1 + r/n)^_(nt)\)

where:

A is the amount of money in the account at the end of the period

P is the principal (initial amount) in the account

r is the annual interest rate (as a decimal)

n is the number of times the interest is compounded per year

t is the time (in years)

We know that P = $500, r = 0.075 (since the interest rate is 7.5%), n = 12 (since the interest is compounded monthly), and t = 9/12 (since 9 months is three-quarters of a year). Substituting these values into the formula, we get:

A = \($500(1 + 0.075/12)^_{(12*(9/12))\) = \($532.72\)

Therefore, Stephen has approximately $532.72 in his account at the end of 9 months.

To learn more about compound interest rate, refer:

https://brainly.com/question/8729336

Answer:

Step-by-step explanation:

Area of triangle = bh/2

Tri 1) (15*10)/2 = 75 sq. cm

Tri 2) (24*20)/2 = 240 sq. cm

Tri 3) (12*17)/2 = 102 sq. cm

Tri 4) (18*32)/2 = 288 sq. cm

Word prob) (15.25*18)/2 = 137.25 sq. cm

How do you find the area of a triangle?

Ans. Area of triangle = \(\frac{1}{2}\) × b × h ⇒ \(\frac{bh}{2}\)

Hope it helped. Pls mark me the BRAINLIEST!

Answer:

\(f^{-1}\left(f(576)\right)=\boxed{576}\)

\(f^{-1}(-7)+f(-7)=\boxed{13}\)

Step-by-step explanation:

The inverse of an invertible function with the domain of all real numbers is obtained by reflecting the original function across the line y = x, which swaps the input and output values of the function. Therefore, (x, y) → (y, x).

Given table:

\(\begin{array}{lrrrrrr}\vphantom{\dfrac12}x&-7&11&-13&6&5&-9\\\cline{1-7}\vphantom{\dfrac12}f(x)&7&12&8&-7&13&5\end{array}\)

Inverse function:

\(\begin{array}{lrrrrrr}\vphantom{\dfrac12}x&7&12&8&-7&13&5\\\cline{1-7}\vphantom{\dfrac12}f^{-1}(x)&-7&11&-13&6&5&-9\end{array}\)

If we have a function f(x), the inverse function is denoted as f⁻¹(x), and it has the property that f⁻¹(f(x)) = x for all valid inputs x in the domain of f(x).

Therefore:

\(\large\boxed{f^{-1}\left(f(576)\right)=576}\)

The value of f(-7) is the value of f(x) when x = -7. Therefore, reading from the original table, f(-7) = 7.

The value of f⁻¹(-7) is the value of f⁻¹(x) when x = -7. Therefore, reading from the inverse function table, f⁻¹(-7) = 6.

Therefore:

\(\large\boxed{\begin{aligned}f^{-1}(-7)+f(-7)&=6+7\\&=13\end{aligned}}\)

Answer:

First Page

multiplying

1.95 + (-10)

the order of operations

Second Page

numerical

solve

divide

left

Step-by-step explanation:

Answer:

3.14*6²=113.04

113.04/2=56.52

19*12=228

228+56.52=284.52

Area of the region is 284.52

Step-by-step explanation:

Answer:284.52

Step-by-step explanation:

284.52

Answer:

4860 ft^2

Step-by-step explanation:

9 feet is represented by 1 inch.

● 9 => 1

Square both sides

● 81 => 1

So a 81 ft^2 square is represented by a 1 in^2 square (picture below)

■■■■■■■■■■■■■■■■■■■■■■■■■■

The gym's area in the blueprint is 60 in^2

That 60 1in^2 squares.

● 1 => 81

● 1×60 => 81×60

We have multiplied both sides by 60

● 60 => 4860

So the original are is 4860 ft^2

The actual square footage of the gym will be 4860 square feet.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

There is no effect of dilation on the angle.

The blueprint scale is 1 inch : 9 feet.

Then the scale factor will be (1/9).

If the gym's area is 60 square inches on the blueprint.

Then the actual square footage of the gym will be

⇒ 60 / (scale factor)²

⇒ 60 / (1/9)²

⇒ 60 x 81

⇒ 4860 square feet

More about the dilation link is given below.

https://brainly.com/question/2856466

#SPJ2

The shaded portion of the figure in square feet is 78.5 ft².

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses.

As, its diagonal is equal to the diameter of the circle which is 10 feet.

Let the width of the rectangle be x, then its length is 10-x.

Using the Pythagorean theorem, we can write:

x² + (10-x)² = 10²

2x² - 20x + 100 = 100

2x² - 20x = 0

2x(x-10) = 0

x =10, which means the rectangle is actually a square.

Therefore, its area is 10² = 100 square feet.

Now, the area of the shaded portion is

= area of the circle - area of the square.

Then, Radius is 5 feet.

So, the area of the circle

= π(5²)

= 25π square feet.

Therefore, the area of the shaded portion is:

= 25π - 100

≈ 78.5 square feet.

Learn more about Area here:

https://brainly.com/question/27683633

#SPJ2

Hello !

- for a triangle to be constructible, the longest side must be less than the sum of the other two sides. -

so :

67 smaller than 27+47 ?

67 ⟨ 74 it's the right answer.

I hope I helped you !!

Have a good evening !!!

Patrick can form a triangle using the rod lengths of 20 inches and 27 inches and 47 inches. The other combinations of rod lengths do not meet the conditions laid out by the triangle inequality theorem.

The subject of this question is Mathematics, specifically focusing on geometric properties of triangles. According to the triangle inequality theorem, a triangle can only form if the sum of the lengths of the two shorter sides is greater than the length of the longest side. In this context, Patrick uses scrap metal to build sculptures and wants to create triangles from metal rods which are 20 inches, 27 inches, 47 inches, and 67 inches long.                                                    Using the triangle inequality theorem, we can determine which combinations of rod lengths can form a triangle:

Answer:

The first option, V ≈ 1607.7 in²

Step-by-step explanation:

Find the volume of the given cylinder.

\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)

Given:

r = 8 in

h = 8 in

π = 3.14

Find:

V = ?? in³

\(\hrulefill\)

Now solving,

Substitute the given values into the formula:

=> V = (3.14)(8)²(8)

Using a calculator to simplify:

=> V = 1607.68 in²

Rounded to the nearest tenth:

∴ V ≈ 1607.7 in²

Thus, the first option is correct.

Answer: Easy

Step-by-step explanation: Formula is A=1/2bh

Answer:

64 square feet

Step-by-step explanation:

First we start off by finding the area of the room. 16 times 8 is 128. But we need to find what each half would be. Half of 128 is 64, meaning our answer is 64 square feet.

Answer: a. 5

Since the angle is right, we know it is equal to 90 degrees.

Using the information provided, we can set up an equation.

50 + 5x + 15 = 90

Simplifying the equation, we get:

5x + 65 = 90

Subtracting 65 from both sides, we get:

5x = 25

Dividing both sides by 5, we get:

x = 5

Answer:

It can't be a whole number. It's a fraction less than one.

Step-by-step explanation:

It is .33333333333 but still it can't be .a whole number

Answer:

85 degrees

Step-by-step explanation:

Answer:

92 in2

Step-by-step explanation:

Answer:

7.65 gallons

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

he would have to have it 6 roses and 9 lilies for it to be a ratio

No, Bernie does not used the same ratio of roses to lilies in both bouquets.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, when he makes a small bouquet, he uses 3 roses and 6 lilies. When he makes a large bouquet, he uses 6 roses and 8 lilies.

Ratio of roses to lilies in a small bouquet is 3:6

= 1:2

Ratio of roses to lilies in a large bouquet is 6:8

= 3:4

No, Bernie does not used the same ratio of roses to lilies in both bouquets.

To learn more about the ratio visit:

brainly.com/question/13419413.

#SPJ2

Answer:

The answer is D.

Step-by-step explanation:

y = mx + b

C = 5/9 (F - 32)

C = 5/9F - 5/9 (32)

Option (D) is correct.

Answer:

Step-by-step explanation:

Answer:

1.5 hours

24 miles

Step-by-step explanation:

Seeing as the point of intersection is at 1.5 hours, we can say that that is the time that passes before they meet. And the starting point answer is 24 miles, hope this helps to all my fellow imagine math users! :D