Which equations have the same solution as x + + x = – x plus StartFraction 2 Over 3 EndFraction plus x equals StartFraction one-half EndFraction minus StartFraction 1 Over 5 EndFraction x.

Answers

Answer 1

Answer:

A, B and D

Step-by-step explanation:

Which equations have the same solution as [tex]\frac{3}{5} x+\frac{2}{3} +x=\frac{1}{2} -\frac{1}{5}x[/tex]

A. 8/5x + 2/3 = 1/2 – 1/5x

B. 18x + 20 + 30x = 15 – 6x

C. 18x + 20 + x = 15 – 6x

D. 24x + 30x = –5

E. 12x + 30x = –5

To find the equations with the same solution, we have to solve or x and determine if the value of x is the same for the remaining options.

[tex]\frac{3}{5} x+\frac{2}{3} +x=\frac{1}{2} -\frac{1}{5}x\\multipying \ through \ by \ 30:\\18x + 20+30x=15-6x\\collecting\ like\ terms:\\18x+30x+6x=15-20\\54x=-5\\x=\frac{-5}{54}[/tex]

A)

[tex]\frac{8}{5}x+\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x\\ multipying\ through\ by \ 30\ gives:\\48x+20=15-6x\\48x+6x=15-20\\54x=-5\\x=\frac{-5}{54}[/tex]

A has the same solution

B)

[tex]18x+20+30x=15-6x\\18x+30x+6=15-20\\54x=-5\\x=\frac{-5}{54}[/tex]

B has the same solution

C)

[tex]18x+20+x=15-6x\\18x+x+6x=15-20\\25x=-5\\x=\frac{-1}{5}[/tex]

C do not have the same solution

D)

[tex]24x+30x=-5\\54x=-5\\x=\frac{-5}{54}[/tex]

D has the same solution

E)

[tex]12x+30x=-5\\42x=-5\\x=\frac{-5}{42\\}[/tex]

E do not have the same solution


Related Questions

Find the solution set for this equation.
-m2 - 5m=0
Separate the two values with a comma.
Enter the correct answer.

Answers

Answer:

m = -5, 0

Step-by-step explanation:

Easiest and quickest way to do this is to graph the equation and find where it intersects the x-axis. If not, then use completing the square or quadratic formula to find your roots.

suppose f(x)=x^2-4.Find the graph of f(3x)

Answers

Answer:

3(x²-4) or 3x²-12

Step-by-step explanation:

x²-4 times 3 is equal to 3x-12 which is also 3(x²-12)

Can someone make sure that I’m right I don’t know I think I’m wrong but I don’t know so can you help me

Answers

Answer:

2 sqrt(5)

Step-by-step explanation:

To find the geometric mean to two numbers

sqrt( x*y)

sqrt( 5*4)

sqrt(5) * sqrt(4)

2 sqrt(5)

Which of the following values are in the domain of the function graphed below?check all that apply

Answers

Answer:

a,c, from l to be a great idea to be at the house by the way the time to do it on a hard time that I can help with the rest of the cause you found it on my phone and it do not have a circunr on my computer and

Step-by-step explanation:

yourwelcome

Answer: 7,0,2,3

Step-by-step explanation: nodadnotoday on Spotify

Which expression is equivalent to the expression 4(6+y)+7?
0 24+ 4y
O 31+ 4y
o 31+By
O 24+ 7y

Answers

Answer:

31 + 4y

Step-by-step explanation:

4(6+y)+7

Expand the brackets.

24+4y+7

Rearrange.

4y + 24 + 7

Add the like terms.

4y + 31

Answer:

its B

Step-by-step explanation:

solve 0.06*0.7+0.03=0.06*(-0.2)+0.03​

Answers

Answer 0.06*0.7+0.03=0.072 and 0.06*(-0.2)+0.03=0.018

If triangle DEF has a 90° angle at vertex E, which statements are true? Select two options.
Triangle DEF is an obtuse triangle.
The angle at vertex D is acute.
The angle at vertex F is obtuse.
Triangle DEF is a right triangle,
The angle at vertex D is obtuse.

Answers

Answer:

The angle at vertex D is acute

Triangle DEF is a right triangle

Step-by-step explanation:

Acute means that the angle is smaller that 90degrees

Correct statement are,

The angle at vertex D is acute.

And, Triangle DEF is a right triangle,

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

We have to given that;

Triangle DEF has a 90° angle at vertex E.

Since, In triangle DEF,

vertex E has 90 degree.

So, Possible value of angle E and F are less than 90 degree

Hence, The angle at vertex D is acute.

And, Triangle DEF is a right triangle,

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Figure ABCD is a parallelogram.
What is the value of n?
3
5
17
25​

Answers

Answer:

n is equal to 17 if you want you can plug the number to both equation and try to see if both are equal if they are equal that means you did it right

Answer:

n = 17

Step-by-step explanation:

The opposite angles of a Parallelogram are equal.

So,

4n-2 = 2n+32

4n-2n = 32+2

2n = 34

Dividing both sides by 2

n = 17

Please help!!!!! IMAGE ATTACHED

Answers

Answer:

1. y2-y1/x2-x2

2.y=mx+b

3.Ax+By=C

Step-by-step explanation:

Here are the answers below, hope they help =) :

Please help I don't understand

Answers

Answer:

C

Step-by-step explanation:

i just took the test

In circle P, diameter QS measures 20 centimeters. Circle P is shown. Line segment Q S is a diameter. Line segment R P is a radius. Angle R P S is 123 degrees. What is the approximate length of arc QR? Round to the nearest tenth of a centimeter. 9.9 centimeters 19.9 centimeters 21.5 centimeters 43.0 centimeters

Answers

Answer:

Length of arc QR is [tex]\approx[/tex] 9.9 cm

Step-by-step explanation:

Given that circle P, i.e. center is point P.

QS is diameter with length 20 cm.

Given that RP is the radius with

[tex]\angle RPS = 123^\circ[/tex]

To find length of arc QR = ?

Solution:

Arc QR subtends the [tex]\angle QPR[/tex] on center P.

So, we need to find the angle [tex]\angle QPR[/tex] to find the length of arc QR.

QS is the diameter so [tex]\angle QPS = 180^\circ[/tex]

[tex]\angle QPS = 180^\circ = \angle QPR +\angle RPS\\\Rightarrow 180^\circ = \angle QPR +123^\circ\\\Rightarrow \angle QPR = 57^\circ[/tex]

Converting in radians,

[tex]\angle QPR = 57^\circ \times \dfrac{\pi}{180} = 0.99\ radians[/tex]

Using the formula for length of arc:

[tex]l = \theta \times R[/tex]

Where [tex]\theta[/tex] is the angle subtended by the arc on center.

R is the radius of circle.

Here,

[tex]\theta = 0.99\ radians\\R = 10\ cm[/tex]

[tex]l = 0.99 \times 10\\l = 9.9\ cm[/tex]

Length of arc QR is [tex]\approx[/tex] 9.9 cm

Answer:

9.9 cm

Step-by-step explanation:

I NEED HELP ASAP Which equation is equivalent to: −10r−6=115
A. 10r=−115+6
B. −10r=115+6
C. −10r=115−6
D. 10r=115−6

Answers

You answer is B

-10r=-115+6

Find the area of a circle with diameter 10cm use the value 3.14

Answers

Answer:

78.5 cm

Step-by-step explanation:

The area of a circle is represented by A = πr². Since we are replacing the value of pi(π) with 3.14, and the diameter is 10, meaning the radius(r) is 5, we can plug both values into the equation, to get A = 3.14(5^2). This simplifies to 78.5.

Answer:

78.5 cm^2

[tex]solution \\ diameter = 10 \: cm \\ radius = \frac{10}{2} = 5 \: cm \\ area \: of \: circle = \pi \: {r}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times {5}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times 5 \times 5 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times 25 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 78.5 {cm}^{2} [/tex]

hope this helps...

Good luck on your assignment...

Use the given diagram to help answer the question. 2 right triangles share a side. Each triangle has a side length of 3 feet and hypotenuse of 5 feet. Sam found a tent in his garage, and he needs to find the center height. The sides are both 5 feet long, and the bottom is 6 feet wide. What is the center height of Sam’s tent, to the nearest tenth? 3 feet 4 feet 5.5 feet 7.8 feet

Answers

Answer:

4 feet

Step-by-step explanation:

Use pythagorean theorem to solve the center height of Sam’s tent.

The center height of the triangle or Sam's tent is given by AB = 4 feet

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the base of the triangle is BC = 3 feet

The hypotenuse of the triangle is AC = 5 feet

And , the triangles share a common height

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

So , the height of the triangle AB = √ ( AC )² - ( BC )²

On simplifying , we get

The height of the triangle AB = √ ( 25 ) - ( 9 )

The height of the triangle AB = √16

The height of the triangle AB = 4 feet

Hence , the height of the triangle is 4 feet

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Pls answer i will mark as branliest

Answers

Answer:

A) Corresponding Angles Theorem (They correspond to each other)

B) If <XBC = 55 Then <XCB = 55

(Because they both are opposite to equal sides)

Now, Finding <BXC:

=> <BXC = 180-55-55 (Angles of a triangle add up to 180 degrees)

=> <BXC = 70 degrees

binomial numbers, Stifel

Answers

Answer:

binomiales, números combinatorios o combinaciones son números estudiados en combinatoria que corresponden al número

Step-by-step explanation:

7. Express as a fraction in simplest form: 4 to 36

Answers

Answer:

4/36=2/18=1/9=1/9=1/9=1/9=1/9=1/9

Answer:

1/9

Step-by-step explanation:

4:36 as a ratio can be written in the form of a fraction.

4/36

Simplify the fraction using the highest common factor.

4÷4/36÷4

1(4)/9(4)

The 4's cancel.

1/9

How many cubes are needed to build this figure?

Answers

Answer:

3 cubes are needed are needed to build the figure

6 cubes are used in this diagram

Make L the subject of the formula T=2π√L\G​ ​

Answers

Answer:

[tex]L=(\frac{TG}{2\pi })^2[/tex]

Step-by-step explanation:

[tex]T=2\pi \sqrt{L}/G[/tex]

[tex]TG=2\pi \sqrt{L}[/tex]

[tex]\frac{TG}{2\pi } =\sqrt{L}[/tex]

[tex](\frac{TG}{2\pi })^2 =L[/tex]

Answer:

[tex]l = {( \frac{tg}{2\pi}) }^{2} [/tex]

hope this helps you.

brainliest appreciated

good luck! have a nice day!

You have a 90% as your grade and on your final you get 80%. Your current grade is 20%of your grade and your final is 80% of your grade. What percent for your grade would you get in the end?

Answers

Answer:

82%

Step-by-step explanation:

(20×90+80×80) / (20+80) = 8200 / 100 = 82.00

the grade would be 83%,

i will mark brainliest!!!!!!!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

Macy didnt correctly find the equivalent fraction with the denominator of 30

4/5 is 24/30 not 18/30.

this is because 4×6 is 24 which is the numerator and 5×6 is 30 which is the denominator

Answer:

Macy did not correctly find the equivalent fraction with the denominator of 30.

Step-by-step explanation:

What Macy should have written:

[tex]\frac{4}{5} ?\frac{18}{30} =\\\\\frac{24}{30} >\frac{18}{30}[/tex]

What Macy wrote:

[tex]\frac{4}{5} ?\frac{18}{30} =\\\\\frac{18}{30} <\frac{19}{30}[/tex]

[tex]\frac{4*6}{5*6}[/tex] does not equal [tex]\frac{18}{30}[/tex]

Can somebody help me with this please ?? :)

Answers

yes they are congruent budy because they have given AC is equal to AD,, BC is equal to ED and angle BAC is equal to angle EAD.

For congruence of triangle ABC and triangle ADE we just need three parts that we got and therefore they are congruent..

don't forget to follow

Mark dropped an object from a bridge 400 feet above the ground level with an initial velocity of 0. He knows that the gravitational pull of the earth is about 16 feet per second squared. wants to find how many seconds,t, it will take the object to hit the ground. Match each expression with the correct equation that models this situation or solution.

Answers

Answer:

The first listed equation is the correct equation to solve

The correct answer is: t = 5 seconds

Step-by-step explanation:

Let me mention first that there is an error in the statement that the gravitational pull of the Earth is 16 ft/s^2. It is in fact 32 ft/s^2, and the actual equation uses half of the acceleration multiplied by the square of the variable time, so it gives as final expression :

[tex]y(t)=-16\,t^2+ 0 \,t +400[/tex]

and we want to find the value/s for "t" that make this equation equal zero (when it reaches the ground and the object just touches the ground. This makes the equation we want to solve:

[tex]0=-16\,t^2+ 0 \,t +400\\16\,t^2+0\,t -400=0[/tex]

which solving for "t" becomes:

[tex]16\,t^2-400 =0\\16\,t^2=400\\t^2=\frac{400}{16} \\t^2=25\\t= +/- 5\,\,sec[/tex]

So we adopt the positive answer (positive time) since the negative value has no physical meaning for this problem.

That is: t = 5 seconds

correct equation: -16t^2 + 0t + 400 = 0

solution: 5 seconds

i just did the workbook and got it correct!

In the problem RSM × RS × R=2030 each letter stands for a different digit. Find the 3-digit number RSM. Please answer soon!

Answers

Answer:

145

Step-by-step explanation:

Answer: R S M = 145

It seems that someone already gave the correct answer for this, but I'll add an explanation in case you're curious!

1. So, we can write it out as:

R S M

  R S                             (make sure you don't simplify it

x    R                              as  R^3*S^2*M, as each letter here

----------                           stands for an individual digit in a number)

2030

2.   The only possible value of R is 1, because any other value would be too big. (For example, 213*21*2=8946), for the sake of simplicity so let's write it as:

R S M

x   R S                          

----------                          

2030

3. Notice how the last digit in 2030 is 0? That means either M or S =5.

5*2 has a last digit of 0, so let's try that out. Let's sub it in to get 125*12=1500. That's too small, so let's try again.

5*4 also has a last digit of 0. Let's plug that in: 145*14=2030. Yay!

4. In conclusion, RSM*RS*R --- > 145*14*1=2030, so RSM = 145

Hope this helped you :)

The table represents an exponential function. What is the multiplicative rate of change of the function?
1/3
2/3
2
9

Answers

The answer would be 2/3 I took the test and passed it

The multiplicative rate of change of the function is 2.

What is the rate of change?

The pace at which one quantity changes in relation to another quantity is known as the rate of change function. The rate of change will be calculated by the ratio of the change of the dependent variable to the change of the independent variable.

Given that the values of the variables x and y are,

x    y

1     6

2    4

The rate of change will be calculated as,

Rate  of change  = ( y₂ - y₁ ) / ( x₂ - x₁ )

Rate  of change  = (4 - 6 ) / ( 2 - 1 )

Rate of change = -2

The multiplicative rate of change will be 2.

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Which of the following decimals is equivalent to the common fraction four-fifth? a. 0.80 b. 0.75 c. 0.65 d. 0.45 Other:

Answers

Answer:

The answer is option a

0.8

4/5 = 0.8

Hope this helps.

Use a= √a b= √5 c= √10
to work out the value of ac/b
Give your answer in its simplest form.

Answers

Answer:

a = √a b = √5 c = √10

ac/b = (√a)(√10)/√5

= √ 10 × a /√5

= √10a / √5

Rationalize the surd

√10a ×√5/(√5)²

= √50a /5

= 5√2a/ 5

= √2a

The final answer is √2a

Hope this helps

Clara is building a triangular garden. She wants the length of the longest side to be three more than twice as long as the length of the shortest side, and the third side will be twelve feet long.

Answers

Answer:

3s+15

Step-by-step explanation:

let 's' be the length of the shortest side

-> twice as long as the length of the shortest side =2s

->length of the longest side to be three more than twice as long as the length of the shortest side = 2s + 3

-> the third side= 12 feet

p = s + 12 + 2s+3

p= 3s+15

1. A right triangle has legs that measure 5 meters and 12 meters. What is the length
of the hypotenuse?
A. 7 meters
B. 10.9 meters
C. 13 meters
D. 17 meters
What answer should I pick

Answers

Answer: C. 13 meters

Step-by-step explanation:

5^2+12^2=x^2

25+144=x^2

169=x^2

√169=13

13=x

Hope it helps

Answer:

C. 13 meters

Step by step:

5^2+12^2=x^2

25+144=x^2

169=x^2

√169=13

13=x

(05.06) coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3 The coordinate grid shows points A through K. Which points are solutions to the system of inequalities listed below? (2 points) 2x + y 8

Answers

Answer: I'm not sure if this is right but I believe its point E, F, G, J

Step-by-step explanation:

Don't use this without getting confirmation I don't want to trip anyone up!

Answer: EFG is correct

Step-by-step explanation:

I did the quiz

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