Use the number line​ below, where ​, ​, and . a. What is the value of​ y? b. Find RS and ST. R S T a. What is the value of​ y? y 4 ​(Type an integer or a​ decimal.) b. Find RS and ST. RS 4.2 ​(Type an integer or a​ decimal.)

Use The Number Line Below, Where , , And . A. What Is The Value Of Y? B. Find RS And ST. R S T A. What

Answers

Answer 1

Answer:

y = 4

RS = 35

ST = 26

Step-by-step explanation:

Given:

RS = 8y + 3

ST = 5y + 6

RT = 61

Required:

a. Value of y

b. Numerical lenght of RS and ST

SOLUTION:

a. Points R, S and T are collinear, therefore, based on segment addition postulate, the following equation can be created to find the value of y:

[tex] RS + ST = RT [/tex]

[tex] (8y + 3) + (5y + 6) = 61 [/tex] (substitution)

Solve for y

[tex] 8y + 3 + 5y + 6 = 61 [/tex]

Combine like terms

[tex] 8y + 5y + 3 + 6 = 61 [/tex]

[tex] 13y + 9 = 61 [/tex]

Subtract 9 from both sides

[tex] 13y + 9 - 9 = 61 - 9 [/tex]

[tex] 13y = 52 [/tex]

Divide both sides by 13

[tex] \frac{13y}{13} = \frac{52}{13} [/tex]

[tex] y = 4 [/tex]

b. RS = 8y + 3

Plug in the value of y

RS = 8(4) + 3 = 32 + 3

RS = 35

ST = 5y + 6

Plug in the value of y

ST = 5(4) + 6 = 20 + 6

ST = 26

Answer 2

Answer:

Guy above me is Wrong its 14

Step-by-step explanation:


Related Questions

4.88 + 1.6*
What is the answer

Answers

Answer:

6.48 is the answer.

Please complete the venn diagram and list how many elements are in each region thanks :)

Answers

Answer:

5

Step-by-step explanation:

Region I = n(A) - n(A union B) - n(A uniton C) + region V

              = 24 - 10 - 15 + 6

              = 5


In 0.356, which digit is in the thousandths place?

Answers

Answer:

6 is in the thousandths place

Step-by-step explanation:

Describe the difference in how the pie chart and the Pareto chart show patterns in the data. Choose the correct answer below.
O A. The pie chart shows the percentages as parts of the whole. The Pareto chart shows the rankings of the seasons.
OB. The pie chart shows the individual responses. The Pareto chart shows the distribution of the seasons.
O C. The pie chart shows the distribution of the seasons. The Pareto chart shows the individual responses.
OD. The pie chart shows the rankings of the seasons. The Pareto chart shows the percentages.
Click to select your answer.

Answers

Answer:

A. The pie chart shows the percentages as parts of the whole. The Pareto chart shows the rankings of the seasons.

Step-by-step explanation:

hope this helps

A pie chart shows the percentages as parts of the whole. The Pareto chart shows the rankings of the seasons.

What is a pie chart?

"A pie chart is a circular statistical graphic, which is divided into slices to illustrate numerical proportion. In a pie chart, the arc length of each slice is proportional to the quantity it represents."

What is a Pareto chart?

"A Pareto chart is a type of chart that contains both bars and a line graph, where individual values are represented in descending order by bars, and the cumulative total is represented by the line."

Therefore, a pie chart shows the percentages as parts of the whole. The Pareto chart shows the rankings of the seasons.

Learn more about a pie chart and a Pareto chart here: https://brainly.com/question/13274440

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What is the degree of the polynomial

Answers

I believe the degree of the polynomial is 3 because that is the highest exponent

lauren 3.26 lunch on Tuesday she spent 3.56 on Wednesday and 3.29 on thurday order the prices from greatest to least

Answers

Answer:3.56, 3.29, 3.26

Step-by-step explanation:3.56 is bigger than 3.29 and 3.29 is bigger than 3.26

8 1/3 in 10 minutes

find unit rate

Answers

Umm it the unit rate is

help meeee Simplify 7(A - 6).

Answers

Answer:
7A-42

Explanation;
Use the distributive property and multiply A and -6 by 7.

I hope this helps!

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{7A - 42}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{7(A \: - 6)}[/tex]

Distribute 7 through the parentheses

[tex] \longmapsto{ \sf{7 \: ∗ \: A \: - 7 \: ∗ \: 6}}[/tex]

[tex] \longmapsto{ \sf{7A \: - 42}}[/tex]

Hope I helped!

Best regards ! :D

~TheAnimeGirl

Can anyone help me with my algebra homework please ?

Answers

Answer:

She will practice 2.5 for week four

Step-by-step explanation:

The table is going by 0.5 so I added 0.5 +2 =2.5

Find two decimals that are equivalent to (4x10)+(7x1/100)

Answers

Answer:

4.700 and 4.70

Step-by-step explanation:

step one:

Since the number is basically a representation of numbers to the powers of 10,  that is the place value of each digit corresponds to the power of 10

step two:

now given the expression

(4x10)+(7x1/100)

this can be written as

4.700

and this Could also be equivalent to

4.70 and 4.7 since

The summit of a mountain pass is 8,050 ft above sea level. the valley below is 12 and 1/2 ft below sea level. what is the vertical distance between the summit and the valley

please please help me ​

Answers

Answer:

Vertical distance between the valley and the summit = 8062.5 ft

Step-by-step explanation:

Distances above the sea level are denoted by positive notations and below the sea level by negative notation.

Summit of a mountain pass = 8050 (above the sea level)

Valley below the sea level = 12 and half ft = (-12.5) ft

Distance between the summit and the valley = 8050 - (-12.5)

                                                                           = 8050 + 12.5

                                                                           = 8062.5 ft

Therefore, Vertical distance = 8062.5 ft will be the answer.

When a number is decreased by 20% of itself, the result is 96. What is the number?
The number is

Answers

Answer:

480

Step-by-step explanation:

Take 96 and divide it by 2 to get what ten percent would be: 48

Then just multiply 48 by ten for 100% (The number): 480.

To check, take a calculator and do 480-20% and it equals 96.

The answer is 120.
We took away 20% of the original number, so we are left with 80% of the original number.
So we can say 80% = 96
Divide both sides by 80 to get 1%
And we get 1% = 1.2
And then multiply both sides by 100 to get 100% (aka, original number)
100% = 120 :)

If f(2) = 12 and f '(x) ≥ 3 for 2 ≤ x ≤ 5, how small can f(5) possibly be?

Answers

Answer:

21

Step-by-step explanation:

From our previous knowledge, if f'(x) = m ,

Then f(x) = mx+c

For a smaller value of f(5), m should be the smallest possible integer if m = 3

i.e. f(x) = 3x+c

replacing the value of x with 2 given from the question to get the value of c, we have:

f(x) = 3x+c

f(2) = (3×2)+c

where; f(2) = 12

12 = 6+c

- c = -12 + 6

- c = - 6

c = 6

Now, f(x) can now be;

f(x) = 3x + 6

f(5) = (3×5)+6

f(5) = 15 + 6

f(5) = 21

Therefore, smallest possible value of f(5) is 21

Solve for x : 3xyz= P

Answers

Answer:

x = P/yz

Step-by-step explanation:

You just divide the left side by yz

Graph 5x + 3y = 15 on a graph ​

Answers

You need to find the equation of y=Mx+b

Answer is y=-5/3x+5

Brainliest?

find the inverse function of g(x) = sqrt x-7

Answers

the inverse is x²+7
.......

The inverse of g(x) is x² + 7

What is a function?

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

What is an inverse function?

The inverse function is defined as a function obtained by reversing the given function.

To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.

We have to find the inverse of the function below :

g(x) = √(x-7)

So after switching x and y,

g(x) = y = √(x - 7)

becomes

x = √(y - 7)

Now, we solve for y regularly.

g(x) = y = √(x - 7)

Solve for y :

⇒ y² = x - 7

⇒ x² = y - 7

⇒ y = x² + 7

Therefore the inverse of g(x) is x² + 7

Learn more about inverse function here:

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Solve
y
= x2 + 23 for x.
O A. x= y - 23
O B. = +Jy + 23
O C. X = +VÝ - 23
D. X = y +23

Answers

Answer:

x = ±√(y - 23)

Step-by-step explanation:

y  = x^2 + 23 may be solved for x as follows:

Subtract 23 from both sides, to isolate x^2:

x^2 = y - 23

Take the square root of both sides.   We get:

x = ±√(y - 23)

I WILL GIVE BRAINLIEST
6r3 + 3r3 − r2 =

Answers

Answer:

r²(9r-1)

Step-by-step explanation:

I did my work on a paper so I'm sorry i cant show you the work but i hope this helped

Answer:

r²(9r - 1)

Step-by-step explanation:

6r³ + 3r³ - r²

= 9r³ - r²

factorize by divide each by r²

= r²(9r - 1)

Convert the equation 3x^2+3y^2+6x+24y=9 to the standard form of a circle

Answers

Answer:

3 x 2 + 3 y 2 + 6 x = 0

A positive number divided by a negative number will result in a ___ quotient.

Answers

it will result in a negative quotient

Answer:

a negative quotient.

27 mm converted to in m

Answers

1.063 inches

0.027 meters

hope it helps!

A 35-foot ladder is leaning against the side of a building and is positioned such that the base of the ladder is 21 feet from the base of the building. How far above the ground is the point where the ladder touches the building?​

Answers

Answer:

Step-by-step explanation:

If 1 gallon of paint covers 300 square feet, how many gallons
are needed for a room 30' long x 20' wide x 12' high?

Answers

The answer should be 24

To cover the room of given dimensions 4 gallons of paint is needed.

What is an Area?

The area of a two-dimensional figure is defined as the amount of space covered by the shape in a two-dimensional plane.

Given that 1 gallon of paint covers 300 square feet, there is a room of dimensions 30' long x 20' wide x 12' high

Surface area of room = 2(l+b)*h

= 2(30+20)*12

= 1200 in²

1 gallon for 300 in², therefore 1200/300 =4 gallons for 1200 in²

Hence, To cover the room of given dimensions 4 gallons of paint is needed.

For more references on Area, click;

https://brainly.com/question/27683633

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59 in = how many feet and inches

Answers

Answer:

feet=4.91667

inches=708

Step-by-step explanation:

Answer:

4 ft. 11 in.

Step-by-step explanation:

Step 1:

59 ÷ 12

Step 2:

4   r 11

Answer:

4 ft. 11 in.

Hope This Helps :)

write 24.23 as a mixed number in simplest form

Answers

24.23 =

24 23/100

It doesn't simply because 23 is a prime number.

Answer:

24 23/100

Step-by-step explanation:

Torque (or moment) is the measure of turning force or twist on an object. If a mechanic is applying 12 Newton centimeters of torque on a bolt how many pound inches would this be?

Answers

Answer:

1.0638

Step-by-step explanation:

Given the question:

If a mechanic is applying 12 Newton centimeters of torque on a bolt how many pound inches would this be?

Torque = 12 Newton centimeter

Torque which is the turning effect on an object :

1 Newton = 0.225 pound force

1 centimeter = 0.394 inch

Hence ;

1 Newton centimeter = (1 × 0.225 × 0.394) = 0.08865 pound inch

12 Newton centimeter is hence, equals :

(12 × 0.225 × 0.394) pound inch

= 1.0638 pound inch

The formula for the volume of a cone is V = 1/3 bh
Solve v = 1/3 bh for b, the base of the cone.
A. b= 3h/v
B. b= v/3h
C. b= h/3v
D. b= 3v/h​

Answers

Answer:

D. B=3v/h

Step-by-step explanation:

V = bh

multiply both sides by 3 to eliminate the fraction

3V = bh ( divide both sides by h )

B= 3v/h

The expression for the b is b = 3V/h if the formula for the volume of a cone is V = (1/3)bh option (D) is correct.

What is a cone?

It is defined as a three-dimensional shape in which the base is a circular shape and the diameter of the circle decreases as we move from the circular base to the vertex.

[tex]\rm V=\pi r^2\dfrac{h}{3}[/tex]

It is given that:

The formula for the volume of a cone is:

V = (1/3)bh

To solve for b:

The expression can be defined as the combination of constants and variables with mathematical operators.

Make the subject as b:

V = (1/3)bh

On cross multiplication:

3V = bh

Divide by h on both the sides:

3V/h = bh/h

b = 3V/h

Thus, the expression for the b is b = 3V/h if the formula for the volume of a cone is V = (1/3)bh option (D) is correct.

Learn more about the cone here:

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Chelsea earned $85
while babysitting. She
spent $42 on gas for her
car and $17 on dinner
with a friend. How much
money does she have
now?

Answers

Answer:

$85-$42-$17=$26

Step-by-step explanation:

I guess I was help full for u

plz follow me for more updates

subtract 85-42-17 to get a total of $26

What is the slope of the equation y-3 =-4(X - 5)?
-4
-3
20
23

Answers

Answer:

-4

Step-by-step explanation:

Answer:
The slope of the equation is -4.

Explanation:
Usually, when the question asks us to find the slope of the equation, the values are organized in this formula:

y=mx+b

This formula is called slope-intercept form. Here’s what the variables mean:

y=the y axis
m= the slope of the line
x=the x axis
b=the point on the line that intercepts the y axis (the y-intercept)

And to find the slope, all we would need to do is look at what number is plugged in as “m”. However, the equation the your problem gave us isn’t organized in slope-intercept form (yet) so we’re going to have to do some maneuvering.

Firstly, simplify the equation and isolate the y variable (because it’s isolated in slip-intercept form)

y-3=-4(x-5)
Move -3 to the other side to isolate y
y=-4(x-5)+3
Multiply -4 to the parentheses
y=-4x+20+3
y=-4x+23

Now, it’s clear that -4 is in the place of the “m” variable, which is the slope. Here is a comparison:

y=mx+b
y=-4x+23

Therefore, the slope of the equation is -4.

I hope this helped! If it did, a brainliest would be much appreciated :)

Please help this math problems

Answers

Answer:

1)85

2)-3

3)-5

4)98

5)2

6)-3

7)-5

8)-1

9)-4

10)2

11)535

Step-by-step explanation:

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