Explain how to determine if the two expressions are
equivalent using x = 6 and x = 10.
8x + 40
8(x + 5)

Answers

Answer 1

Answer:

If both expressions have the same value after substituting and simplifying for x = 6 and x = 10, then they are equivalent. Substitute 6 for each variable, x, in both expressions. Use the order of operations to simplify both expressions. The value of both expressions is 88. Now, substitute 10 for each variable, x, in both expressions. Use the order of operations to simplify both expressions. The value of both expressions is 120. Therefore, the expressions are equivalent.

Step-by-step explanation:

got it right!

Answer 2

The two expressions are equivalent.

Important information:

The given expressions are [tex]8x+40[/tex] and [tex]8(x+5)[/tex].The given values are [tex]x=6[/tex] and [tex]x=10[/tex].Equivalent Expressions:

The values of both expression for [tex]x=6[/tex] are:

[tex]8(6)+40=48+40[/tex]

[tex]8(6)+40=88[/tex]

And

[tex]8(6+5)=8(11)[/tex]

[tex]8(6+5)=88[/tex]

The values of both expression for [tex]x=10[/tex] are:

[tex]8(10)+40=80+40[/tex]

[tex]8(10)+40=120[/tex]

And

[tex]8(10+5)=8(15)[/tex]

[tex]8(10+5)=120[/tex]

Since the values of both expressions are equal for each of the values [tex]x=6[/tex] and [tex]x=10[/tex]. Therefore, the two expressions are equivalent.

Find out more about 'Equivalent Expressions' here:

https://brainly.com/question/10628562


Related Questions

Stacy decided that she would start doing sit ups every day. Her plan each day was to do twice as many sit ups as she had done the day devote. If Stacy did two sit up one day, how many total sit ups would she have done after five days?

Answers

Answer:

Day five= 32 sit ups

Step-by-step explanation:

Day 1= 2 sit ups

Day 2= 4 sit ups

Day 3= 8 sit ups

Day 4= 16 sit ups

Day 5= 32 sit ups

3 is less than or equal to w, and w less than or equal to 9

Answers

Answer:

3 <_ w and w <_ 9

Step-by-step explanation:

The <_ are underlined btw

Hope this helped!

You are saving $3.75 each week to buy a DVD that costs $26.79, including tax. For how many weeks will you need to save

Answers

Answer:

8 weeks

Step-by-step explanation:

26.79/3.75 = 7.144

To get the full amount you need to round up to the next highest week.

Answer:

Every week you should save $18.05

Step-by-step explanation:

*HELP NEEDED*
25

105°

NOTE: Angles not necessarily drawn to scale.

Answers

50° because you take 105°
+25°
————
130°

So then you take 180°
-
130°
———-
50°

Answer:

50

Step-by-step explanation:

because i just got it right from khan

What is the image point of (1,4) after a translation left 5 units and down 5 units

Answers

Answer:

(-4, -1)

Explanation:

3. Write an equation in slope-intercept form of the line that passes
through the point (4, -1) and has a slope of 2.
A. y = 2x - 7
B. y = 2x - 9
C. y = 2x + 7
D. y = 2x + 9

Answers

Answer:

B. y = 2x - 9

Step-by-step explanation:

All of the answer choices has a slope of 2, but B is the only answer choice that has (4,-1) on its line.

You can tell by plugging the point into the equation and seeing if the result is true.

y = 2x - 9

-1 = 2(4) - 9

-1 = 8 - 9

-1 = -1

The correct answer is A. Y = 2x - 7.

pls help i give u brainliest and 5 stars

calculate the surface area of a solid box in the shape of a cube with side lengths 9 cm .​

Answers

Answer:

486

Step-by-step explanation:

9(9) added 6 times

i struggle to explain it but i think it is 486cm squared


Write the slope-intercept form of the line that passes through the point (-3, - 6 ) and is parallel to the line y = 5x+4.

Answers

Answer:

Hope this is correct

what is the greatest common factor of 10, 30, and 45​

Answers

Answer:

I guess you can say 5

Step-by-step explanation:

ya I think 5

Answer:

15 if this helped let me know by pressing the thanks button

Step-by-step explanation:

A number cube is rolled. Event A is rolling an even number, and event B is rolling a multiple of 3.
What is the sample space S?

Answers

Answer:

I will answer when you explain what you mean by sample space.

Step-by-step explanation:

please do not delete.

What is the y- intercept of the graph of 3x+4y=24

Answers

Answer:

6

Step-by-step explanation:

First we must get the equation in slope intercept form

y=mx+b

where m is the slope and b is the y intercept

3x+4y=24

To get this equation in slope intercept form, we have to get y by itself.

First, subtract 3x from both sides

3x-3x+4y=24-3x

4y= -3x+24

Now, divide both sides by 4

4y/4=-3x/4+24/4

y=-3/4x+6

So the y intercept is 6

The y-intercept of the graph of the equation 3x + 4y = 24 is y = 6.

What is the y-intercept of the graph?

Given the equation of the graph in the question:

3x + 4y = 24

The y-intercept of a graph is simply the point where the graph crosses the y-axis, meaning that the x-coordinates must be zero.

To determine the y-intercept of the graph of the equation 3x + 4y = 24, replace x with 0 and solve for y:

3x + 4y = 24

Substitute x = 0 into the equation:

3(0) + 4y = 24

Simplifying, we get:

0 + 4y = 24

4y = 24

Divide both sides by 4, to isolate the y-variable:

y = 24/4

y = 6

Therefore, the graph intersects the y-axis at the point (0, 6).

Learn more about the intercept of graphs here: https://brainly.com/question/14180189

#SPJ6

‼️PLEASE ANSWER WILL GIVE BRAINLIEST ‼️

Answers

Answer:

are u single?  boy or girl?

Step-by-step explanation:

How you doing today

Three students were given the expression shown and were asked to take a common factor out of two of the terms.


Use the drop-down menus to complete the statements about whether each student's answer is an equivalent expression. Then choose an expression that is equivalent.


PLZ HELP ASAP!!!

Answers

Answer:

the correct simplification of the expression is 7 - 2(4x-11)

Step-by-step explanation:

remember, the sign must correspond when taking out a common factor

thus, 16m - 4 = 4(4m - 1)

and also, 16m - 4 = -4(1 - 4m)

-15 = 2x + 1
Solve for x. Show or explain your work. Then, verify that your solution is correct.

Answers

Answer:

see below

Step-by-step explanation:

-15 = 2x + 1

Subtract 1 from each side

-15-1 = 2x + 1-1

-16 = 2x

Divide each side by 2

-16/2 = 2x/2

-8 =x

Check

-15 = 2(-8) + 1

-15 = -16+1

-15 = -15

Answer:

-8

Step-by-step explanation:

subtract 2x to move it to the left side

-2x-15=1

add 15 to move it to the right side then add 1 to 15 since it would be 15 plus 1

-2x=16

divide by -2 to get x by its self

-2x=16/2x

-5(4x + 2) = 20 What is x?

Answers

So the right answer is -3/2

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

x =

Step-by-step explanation:

-5(4x + 2) = 20

First you distribute

-20x - 10 = 20

Add 10 to both sides to single out 'x'

-20x = 30

Divide by the coefficient of x

-20x/-20 = 30/-20

solve

x = -3/2

or

x = -1.5

a. 90
b. 110
c. 100
d. 55

Answers

The answer is 110.


The 55 degree angle is related to arc B. The measure of arc B is double the measure of the angle. So, arc B covers 55*2=110 degrees.
The answer is 110 I hope it helps you

Carmen is an engineer making plans to run a rail line, represented by the transversal t, through a city.

Parallel lines v and w are crossed by transversal t. Clockwise from top left, the angles formed with line v are 155 degrees, blank, blank, blank; with line w are 1, 2, 3, 4.

Examine Carmen’s rail plans to identify the measure of ∠1. The streets represented by lines V and W are parallel.

What is the mAngle1?
25°
35°
145°
155°

Answers

Answer:

155

Step-by-step explanation:

The measure of <1 is 25.

What is Parallel line?

The fundamental characteristics listed below make it simple to recognize parallel lines.

Straight lines that are always the same distance apart from one another are called parallel lines.No matter how far apart they are from one another, parallel lines can never intersect.

Given:

The streets represented by lines V and W are parallel.

We need to determine the measure of ∠1.

As, Corresponding angles are those in the matching corners formed when a transversal line crosses two parallel lines.

Additionally, the size of the corresponding angles is consistently the same.

So, From the figure, the ∠1 and the other angle in the parallel line V with the measure of angle 155° are corresponding angles.

Thus, the measure of ∠1 is 155°

Learn more about Parallel line here:

https://brainly.com/question/15588762

#SPJ2

Suppose that the probability that a person will die in the next 20 years is
8.1393%. If this person has a life insurance policy that will pay out $50,000 to
the beneficiaries of the policy if the person dies in the next 20 years, what is
the premium of the policy? Assume that the administrative costs of the poticy
amount to $55.

A. 4824.65
B. 25,000
C. 4536.30
D. 4124.65

Answers

Answer:

Step-by-step explanation:

b is the answer

The premium of the policy is $4,124.65.

Option D is the correct answer.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The premium of an insurance policy is calculated based on the probability of an event occurring and the amount that will be paid out if the event occurs.

To calculate the premium of the policy in this case, we can use the following formula:

Premium = (Payout + Administrative Costs) x Probability of Event

Where:

Payout = $50,000

Administrative Costs = $55

Probability of Event = 8.1393% = 0.081393 (in decimal form)

Substituting these values into the formula, we get:

Premium = ($50,000 + $55) x 0.081393

Premium = $4,124.65

Therefore,

The premium of the policy is $4,124.65.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ7

In Orlando, Florida, the high temperature was 70°F on Saturday and 98°F on Sunday. What is the percent of change in the high temperature from Saturday to Sunday?

Answers

Answer:

71.4285%

Step-by-step explanation:

Use Siri or a calculator

Answer:

28

Step-by-step explanation:

The temperature was increased by 28.

the top of the pyramid is 139 meters above the ground. the floor of its subterranean chamber is 30 meters below ground. find the distance from the top to the subterranean chamber pls help!

Answers

Answer:

The distance from the top to the subterranean chamber is 169 meters.

Step-by-step explanation:

Notice that the total distance form the top of the pyramid to the bottom of the chamber is the sum of both distances.

The pyramid is 139 meters tall, and the subterranean chamber is 30 meters below the groung, the sum iis

[tex]d=139m+30m=169m[/tex]

Therefore, the distance from the top to the subterranean chamber is 169 meters.

Which expression are equivalent to 4d+6+2d? Choose all answer that apply

Answers

Answer:

2(3d+3)

3d+3   + 3d+3

Step-by-step explanation:

4d+6+2d

Combine like terms

6d+6

Factor out a common term 2

2(3d+3)

We can also split this into 2 pieces because of the 2

The 2 means we have 2 terms of 3d+3

3d+3   + 3d+3

Answer:

Step-by-step explanation:

i did not get it

.If x= 2 +√3 , find the value of x^2+1/x^2 and x^4+1/x^4

Answers

Answer:

pls may you explain I don't understand explain step by step

how is 3n+3 is divisible by 3

Answers

Answer:

n + 1

Step-by-step explanation:

Consider the division in fractional form, that is

[tex]\frac{3n+3}{3}[/tex] ← factor out 3 from each term on the numerator

= [tex]\frac{3(n+1)}{3}[/tex] ← cancel common factor 3 on numerator/ denominator, leaving

= n + 1

Based on the type of equations in the system, what is the greatest possible number of solutions? x^2+y^2=9
9x+2y=16

Answers

Answer:

B

Step-by-step explanation:

The possible number of solutions is 2.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equations are x² + y²=9 and 9x+2y=16

The graph of first equation is circle and the graph of second equation is a line.

We know that a line can intersect a circle at most 2 times. So, the greatest possible number of solutions is 2.

First equation can be rewritten as x² + y²=3²

It is the standard form of a circle , where (h,k) is center and r is radius.

(x-h)² +(y-k)² =r² where (h,k) is center and r is radius.

In the above equation h=0,k=0 and r=3. It is a circle with radius 3 and centered at origin.

The second equation is 9x+2y=16

It is a linear equation.

Table of values.

x    y

0    8

1     3.5

2    -1

Plot these points on a coordinate plane and connect them by a straight line.

From the below graph it is clear that the line and circle intersect each other at two points. So, the given system of equation have two solutions.

Hence, the possible number of solutions is 2.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

6. CAN SOMEONE PLEASE HELP ME? I'M NOT GOOD IN MATH.
Explain your work please​

Answers

Answer:

6√2

Step-by-step explanation:

This is a right triangle. The legs of a right triangle are the sides that make up the right angle, and the hypotenuse is the side opposite to the right angle. To find x, we will use the Pythagorean Theorem. This states that a² + b² = c², where a and b are the legs and c is the hypotenuse. Since we know that the legs are both x and the hypotenuse is 12, we can plug these values into our equation to get  x² + x² = 12².

2x²=144 → x² = 72 → x = √72, which simplifies to x = 6√2. Hope this made sense and helps!

help find length of ac n explain please thanks

Answers

Answer:

AC = 12.5 cm

Step-by-step explanation:

use cosine law c^2 = a^2 + b^2 − 2ab cos(C)

c^2 = 6^2 + 10^2 - 2(6)(10)(cosin100)

c^2 = 156.84

c= √156.84

c= 12.5 cm

The cosine rule is used when we are given either three sides or two sides and the included angle.

Answer:

11.66 which is approximately 12

Step-by-step explanation:

by using Pythagoras method

[tex]a^{2}+b^{2}=c^{2} because c is the hypotenuse[/tex]  

[tex]6^{2}+10^{2}=c^{2}[/tex]

[tex]36+100=c^{2}[/tex]

[tex]136=c^{2}[/tex]

[tex]\sqrt{136}=\sqrt{c}[/tex]

[tex]c=11.66[/tex]

i need help pls!!!!!!!

Answers

113.097- round it to the nearest 100th

Answer:

Area of Shaded Region ≈ 141.37 cm^2

Step-by-step explanation:

Given radius of 9 cm for the outer circle;

πr^2, ⇒ Substitute value of radius,

π * ( 9 )^2 ⇒ Square 9, keeping value in terms of π,

Area of Outer Circle; 81π

Provided a radius of 6 cm for the inner circle;

πr^2, ⇒ Substitute value of radius,

π * ( 6 )^2 ⇒ Square 6, keeping value in terms of π,

Area of Inner Circle; 36π

Take the shaded region to be the value of the inner circle ( area ) subtracted from the area of the outer circle;

Area of Shaded Region ⇒

81π - 36π =

45π =

Area of Shaded Region ≈ 141.37 cm^2

Zuri made 2 spheres using plaster. The smaller sphere has a radius of 6 cm. The larger sphere has a radius of 24 cm. How much greater a volume of plaster did Zuri use for the larger sphere? Use 3.14 to approximate pi. Round to the nearest hundredth if necessary. Enter your answer as a decimal in the box.

Answers

Answer:

the Answer is  56,972.16

Step-by-step explanation: I took the test and i got it wrong when I beleved this person please this is the correct answer.


Use dimensional analysis to convert the measurements.

A dwarf sea horse swims at a rate of 55.68 feet per hour. Convert this speed to inches per minute. (There is no answer choice, it's written response) P.S this is really important it's for a test I have, thank you for your time.

Answers

Answer:

52.68 feet per hour

52.68 feet per 60 min

632.16 inches per 60 min

10.536 inches per minute

Step-by-step explanation:

Help
Pls :) I cannot find the answer

Answers

Answer:

1815 pi cm^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the diameter =22

so the radius is d/2  = 22/2 =11

V = pi (11)^2 (15)

V = pi1815

V = 1815 pi cm^3

Other Questions
How did Thomas Jefferson feel about Native Americans? What information does Professor Trevelyan provide about women of the 17th century?A. They were married at a young age.B. They were forbidden from attending church.C. They were not allowed to read.D. They were sold as housemaids. The difference between a number m and the product of m and n.Pls help fast! The figure shown is a triangular prism. How much would it cost to cover the bases and the other three faces with foil that costs $0.26 per square foot? Give two original examples of finite set. A shirt is on sale for 30% off. The expression p minus 0.30 p, where p is the original cost of the shirt, can be used to find the sale price. Which expression means the same as decreased by 30%? 1. What led to the creation of a uniquely American culture? chapter 9 FIRST ANSWER GETS BRAINLIEST ANSWER!!! Find the midpoint of the line segment joining (4, 8) and (2, 6). A. (2, 2) B. (2, 2) C. (1, 1) D. (1, 1) What is the pope's response to criticism of church practices? You want to invest in a riskless project in Sweden. The project has an initial cost of SKr3.86 million and is expected to produce cash inflows of SKr1.76 million a year for three years. The project will be worthless after three years. The expected inflation rate in Sweden is 3.2 percent while it is 2.8 percent in the U.S. A risk-free security is paying 4.1 percent in the U.S. The current spot rate is $1 = SKr7.7274. Required:1. What is the net present value of this project in Swedish krona if the International Fisher effect applies? O SKr1,087,561O SKr958,029 O SKr701,458 O SKr823,333 O SKr978,177 VERY EASY QUESTION. WILL MARK BRAINLIEST Read and choose the option with the irregular verb in the imperfect tense. Marcos vio un perro muy dbil. Nosotras escuchbamos a la madrina. Son chistosas tus tas? Veas a tu padrastro todos los das? In C++ programming please.Rock, Paper, Scissors Game.a) Write a program that lets the user play the game of Rock, Paper, Scissors against the computer. The program should work as follows:1. When the program begins, a random number in the range of 1 through 3 is generated (1+rand()%3). If the number is 1, then the computer has chosen rock. If the number is 2, then the computer has chosen paper. If the number is 3, them the computer has chosen scissors. (Don't display computer's choice yet).2. The user enters his or her choice of "rock", "paper", or "scissors" at the keyboard. (You can use a menu if you prefer).3. The computer's choice is displayed.4. A winner is selected according to the rock paper scossors game riles.Be sure to divide the program into the following functions: int getUserChoice ();The getUserChoice function displays a menu allowing the user to select rock, paper, or scissors. 4 to Quit the game The function then returns 1 for rock, or 2 for paper, or 3 for scissors. User input validation of the choicesint getComputerSchoice (); The getComputerChoice function returns the computer's game choice.It returns 1 for rock (via the ROCK constant), or 2 for paper (via the PAPER constant), or 3 for scissors determineWinner (int, int);The determineWinner function accepts the user's game choice and the computer's game choice as arguments and displays the choices, and a message indicating the winner. void displayChoice (int);The displayChoice function accepts an integer argument and displays rock, paper, or Scissors. int main () Loop while user choice is not 4 (Quit the game) Solve 4(x9)=4(9+13x).The solution is x= Fill in the blanks with the correct terms: ___(i)___ is when light ___(ii)___ off a surface. ___(iii)___ is when light ___(iv)___ as it travels through a different material. 1: reflection - bounces - refraction - bends2: refraction - bounces - reflection - bends3: reflection - bends - refraction - bounces4: refraction - bends - reflection - bounces Help me please I need help in this math PART B: Which detail from the text best supports the answer to Part A?AIt included three main camps, all of which used prisoners for forced labor. One camp also functioned as a killing center. ( Paragraph 1)BIn total, approximately 1.1 million Jews were deported to Auschwitz. ( Paragraph 3)CAuschwitz III, also called Buna or Monowitz, was established in October 1942 to house prisoners assigned to forced labor at rubber works owned by the German conglomerate I.G. Farben. ( Paragraph 5)DSome were tattooed with identification numbers on their left arms. ( Paragraph 5) wind energy takes _____energy and turns it into _____ energy heat; mechanicalmechanical; electicalelectrical; mechanicalheat; electrical Tristen is building 3 trophies using Legos. He needs 324 total Legos. Tristen uses 220 Legos for the largest trophy and 135 Legos for the smallest trophy. How many Legos will he use to build the final trophy 4. Describe the main problem between the patricians and plebeians. A yellow solution of iodine in water is shaken with an equal volume of tetrachloromethane describe and explain what happens