3x + 2y = -9
X – Y = -13

The answer of the given expression as a common fraction in lowest terms is  437/495  .

In the question ,

it is given that ,

the expression is 0.4overline 8 + overline 0.37 ,

that can be written as \(0.4\overline{8}\) + \(0.\overline{37}\)

On further simplifying the above expression further ,

we get ,

= (48 - 4)/90 + 37/99

= 44/90 + 37/99

taking the LCM of 90 and 99 as 990 and solving further ,

we get ,

= 484/990 + 390/990

= ( 484 + 390 )/990

= 874/990

in lowest form it is = 437/495 .

Therefore , the answer to the expression is  437/495  .

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Angle 5 = 180 - 146 = 34

Angle 6 = 146 since vertical angles are congruent

Angle 7 = 34 since vertical angles are congruent, or you could say 180-146 = 34 again. Any pair of adjacent angles add to 180. All four angles add to 360.

The equivalent equation for 3x - 6 is 3(x - 2).

Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.

Given equation:

3x - 6

Take 3 as common from both the term,

= 3(x - 2)

Therefore, the equivalent equation for 3x - 6 is 3(x - 2).

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Step-by-step explanation:

a =

\( \frac{1}{6} \)

Answer:

(-1,-1)

Step-by-step explanation:

The easiest way I know how to explain it is you put the numbers on a line for instance

-6, -5,-4,-3,-2,-1,0,1,2,3,4

and the number in the very middle of the y then for x

-10,-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9

and then again you use the midpoint for the x

because they are trying to meet each other half way you are trying to find the midpoint.

The toroid formed by rotating the rectangular figure gives;

a. A toroid

b. 374•π

c. 400•π

d. The surface area will be 4 times the initial surface area

The volume will be 8 times the initial volume

Taking the distance from the y-axis as 8

Width of the rectangle; 2.5

Length; 6

We have;

a. The solid of revolution is a toroid, having sharp corner edges

b. The surface area is found using the surface area of a hollow cylinder as follows;

Outer radius = 8 + 6 = 14

Inside radius = 8

Width = 2.5

Outer area = 2• π × 14 × 2.5 = 70•π

Inner area = 2• π × 8 × 2.5 = 40•π

\({\pi \cdot 14 }^{2} - {\pi \cdot 8 }^{2} = 132 \cdot\pi\)

The surface area of the figure is therefore;

c. The volume of the solid of revolution is found as follows;

\({\pi \cdot 14 }^{2} \times 2.5 - {\pi \cdot 8 }^{2} \times 2.5= 400 \cdot \pi\)

e. When the dimensions are doubled, we have;

The linear scale factor = 2

The area scale factor = 2^2 = 4

Therefore;

The volume scale factor = 2^3 = 8

The volume of the solid following the enlargement, is therefore;

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Answer: 65%, 195 children

Step-by-step explanation: To get this, we just do 100-35 to get 65 percent. We can calculate this further, and do 300*0.65, and we get 195. Thus, there were 195 children.

Answer:

There was 195 people.

Step-by-step explanation:

You divide and subract.

Answer:

make a table with the graph and get slope from there its just y=mx+b

Step-by-step explanation:

Answer:

A

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

4(n - 3) - 2(-3 + n)

Step 2: Simplify

Answer:

$5 per adult and $3 per kid

Step-by-step explanation:

5x10=50

3x3=9

50+9=59

4x5=20

3x3=9

20+9=29

Answer:

37

Step-by-step explanation:

bec its 10 sides shape so its sum of angles equals 1440 so you will sum all these angles and minust it from 1440

The probability that a randomly selected month's number of order is more than 150 is 0.13%

Given, shawn finds that the monthly number of take-out orders at a restaurant is normally distributed with mean 132 and standard deviation 6.

⇒ mean = 132

⇒ standard deviation = 6

Analysis:

Set the monthly number of take out order as x.

From the question, we know:

P(x > 150) = P(x-132/ > 150-132/6)

= P(x=132/6 > 3)

= 1 - P(x-132/6 ≤ 3)

≈ 1 - 0.9987 {standard normal distribution table}

≈ 0.0013

= 0.13%

Hence we get the probability as 0.13%.

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Did you ever get the answer to this?:

Step-by-step explanation:

Answer:

b is the input

a is the output

Step-by-step explanation:

f(b) = a

b is the input

a is the output

Answer:

-1/3

Step-by-step explanation:

To find the slope, we can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 9-10)/(10-7)

    = -1/3

Answer:

-1/3

Step-by-step explanation:

The slope formula is [ y2-y1/x2-x1 ].

9-10/10-7

-1/3

Best of Luck!

Answer:

26

Step-by-step explanation:

Box 1 = 3 x 3 = 9

Box 2 = 2 x 7 = 17

total = 17 + 9 = 26

Answer:

2 years

Step-by-step explanation:

First, we'll work out what the annual interest is.

\(2500*0.04=100\) (USD).

So it will take \((200\div100)=2\) years for Lori to earn $200 in interest.

Answer:

2 years

Step-by-step explanation:

TTM </3

Answer:

x equals 72

Step-by-step explanation:

it is a 1:3 scale

Answer:

There's no picture attached

Step-by-step explanation:

Answer:

A), C), E)

Step-by-step explanation:

Plot the graph of y = 4 - 3/5x

The equation of a line is typically expressed as

Please note that, to plot the graph of the equation;

Find the y-intercept, that is when x = 0 and

Find the x-intercept, that is when y = 0

Therefore, when x = 0, y = 4

When y = 0, x = 6 2/3

Next step is to input these two points on the coordinate grid and join them together very carefully with a straightedge (or a ruler) and you have your graph.

Answer:

x = 2

Step-by-step explanation:

5 = 9 - 2x

=> 9 - 2x = 5

=> - 2x = 5 - 9

=> - 2x = -4

=> x = -4/-2

=> x = 2

Answer:

x=2

Step-by-step explanation:

5=9-2x swap sides so that all variable terms are on the left hand side

9-2x=5 subtract 9 from both sides

2x=-4 divide both sides by -2

x=-4/-2 divide -4 by -2 to get 2

x=2

Answer:

(-2, 3)

Step-by-step explanation:

Hope this helps. Pls give brainliest.

The study of mathematical logic can help you in your everyday life by developing your ability to think logically and critically.

Everyday logic and mathematical logic are similar in that they both involve reasoning and drawing conclusions based on evidence or information. However, mathematical logic is a more formal and precise system of reasoning that is used in mathematics, computer science, and other fields. It involves using symbols and formal languages to represent statements and arguments, and it often involves the use of mathematical proofs to demonstrate the validity of a conclusion.

The study of mathematical logic can help you in your everyday life by developing your ability to think logically and critically. It can also help you understand the foundations of computer science and the way that computers process information. Additionally, it can help you become more comfortable with using formal language and reasoning, which can be useful in fields such as law, philosophy, and science.

Thus, the study of mathematical logic can help you in your everyday life by developing your ability to think logically and critically.

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