A student solved the following system of equations
incorrectly using these steps:
2x + 5y = 13
-x + 4y = 13
What error did the student make?
In line 2, the student forgot to multiply the
right side of the equation by 2.
In line 3, the student should have subtracted
the equations instead of adding them.
In line 3, the student added the two equations
incorrectly
In line 5. the student used an incorrect
equation when solving for x
1 2x + 5y = 13
2 + -2x + 8y = 13
3
13y = 26
4
y = 2
DONE
5
6
7
8
2x + 5(2) = 13
2x + 10 = 13
2x 3
X = 1.5
The solution to the system is (1.5.2).
5Intro

Answers

Answer 1

Answer:

if the solution to the system is  1.5 and 2

Then the mistake was in line 2 the student should have subtracted the eqations instead of adding them.

Step-by-step explanation:

if y = 2

Then 8y -5y = 3y

4x -x = (4 = 1.5 x 2 2/3) =4   if x = 1.5

3y = 2 2/3 = 3   if y = 2

The ratio stays the same.

Answer 2

The student mistake was in line 2, the student forgot to multiply the

right side of the equation by 2.

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given:

2x + 5y = 13

-x + 4y = 13

The first steps are correct.

In second step the LHS and RHS both should be multiplied by 2.

So,

-2x + 8y = 26

But, the student only multiply 2 on the LHS side.

Hence, the student mistake was in line 2, the student forgot to multiply the right side of the equation by 2.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ2


Related Questions

Which of the following is an offer? Select one: a. Hedva walks into the Ferrari Dealership and says, “I am going to buy a car.” b. Lucy says to Zehmer “I bet you wouldn’t sell this house for $50,000.” c. "This car isn't worth what you're charging. d. Bruo says, “I will pay $25 for this book.”

Answers

Answer:

D, "I will pay $25 for this book."

Step-by-step explanation

It would be d, that is correct

helpppp plleaassseee

Answers

Answer:

the answer is 1/2

explanation:

the answer is 1/2 because 3 is in the middle of 1 through 6 so it would be 1/2

10 Points!!!

Which expression equals the fraction of the square that is shaded dark blue?

Answers

Answer:3/8

Step-by-step explanation: First we see that there are 8 squares and that 3 are shaded light blue and 3 are shaded dark blue so 3 out of the 8 squares are dark blue.

Answer:

1/2 * 3/4

Step-by-step explanation:

Evaluate the following expression.
(5x)"
1

Answers

Answer:

1

Step-by-step explanation:

Anything to the power of zero is one

Which expression is equivalent to 121 - x^2​

Answers

Answer:

(11-x)x(11+x)

Step-by-step explanation:

-(x^2–121)
-(x^2-11^2)
X^2-y^2
(X+y)(x-y)
-(x+11)(x-11)

Which of the following describe an angle with a vertex at E?
Check all that apply.

Answers

The vertex of angle is the middle letter.

E is the vertex so the answers are:

A and C

Answer:

FED and DEF

Step-by-step explanation:

vertex is the middle letter

which inequality is represented by this graph ?

Answers

Answer:

D

Step-by-step explanation:

The point is on 4 so it cannot be A or B, and it is a closed circle not an open circle so it cannot be C.

Answer:

x≥4

Step-by-step explanation:

There is a closed circle at 4  which means there is an equal to sign and the lines goes to the right which means greater than

x≥4

A museum opened at 8:00 a.m. In the first hour, 350 people purchased admission tickets. In the second hour, 20% more people purchased admission tickets than in the first hour. Each admission ticket cost $17.50.What was the total amount of money paid for all the tickets purchased in the first two hours? Show your work.

Answers

Answer: $13,475

Step-by-step explanation:

1st hour = 350

2nd hour = 420

Total 770 x $17.50 = $13475

Help. I’m thinking this is either b,c,d not sure which one though

Answers

Answer:

D

Step-by-step explanation:

A line with slope of 4/5 and y-intercept 1 has the equation y = 4/5x + 1. Since our options are in standard form, let's convert out equation. We get:

5y = 4x + 5

5y - 4x = 5.

Answer:

It's C I THINK but it might be D.

Step-by-step explanation:

What is the percent for;
1. 0.47
2. 0.98
3. 0.25
Don't forget the % symbol on your answer.

Answers

Answer:

47%98%25%

Step-by-step explanation:

First you have to make it into a fraction, then multiply it by 100 :

Q1.

[tex]0.47 = \frac{47}{100} [/tex]

[tex] \frac{47}{100} \times 100 = 47[/tex]

Q2.

[tex]0.98 = \frac{98}{100} [/tex]

[tex] \frac{98}{100} \times 100 = 98[/tex]

Q3.

[tex]0.25 = \frac{25}{100} [/tex]

[tex] \frac{25}{100} \times 100 = 25[/tex]

Two parallel lines are crossed by a transversal. Parallel lines u and w are cut by transversal t. At the intersection of lines u and t, the bottom left angle is 105 degrees. At the intersection of lines w and t, the uppercase right angle is g degrees. What is the value of g? g = 75 g = 80 g = 100 g = 105

Answers

Answer:

I think it's 105.

Step-by-step explanation:

The wording is sort of unclear, but I drew it out and it seems that they are alternate interior angles. Alternate interior angles are congruent! If this is not the right answer, please tell me and I might be able to tell another one.

Well, technically, it has to be either 75 or 105, because all of the special relationships of triangles are either that they are supplementary or they are congruent. So if it's not 105, try 75 :)

The measure of the angle "g" is also equal to 105 degrees

Find the diagram attached below;

From the diagram, we can see that angle 105 and "g" are situated at the corner on both lines u and w.

This means that both angles are equal according to the alternate interior angle theorem, hence the measure of the angle "g" is also equal to 105 degrees

Learn more here: https://brainly.com/question/1751268

Identify which of the labeled angles in the figure is an obtuse angle. answers: A) 2 B) 3 C) 1 D) 4

Answers

Answer:

D) 4

Step-by-step explanation:

To start with we can see that on all the line there are little arrows on the end which means that the line continues forever.

C and B are acute angle because we can eyeball that they are less then 90 degrees.

A is most likely to be a right angle because their are two perpendicular straight lines.

D is the correct answer because as I said the lines continue forever. So in that case both lines are not perpendicular or less than 90º.

Answer:

D

Step-by-step explanation:

directions for constructing the orthocenter of a triangle?​

Answers

Answer:

6IMRYUr5yt

Step-by-step explanation:

rfuiyrbfbnggrnteetS32

hey guys can uhelp me with my question please help no one is answering :(

Answers

Answer:

Step-by-step explanation:

1)

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

m=(9-0)/(7-4)

m=9/3

m=3

2)

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

m=(4-2)/(6-9)

m=2/(-3)

m=-2/3

3)

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

m=(3-(-1))/4-4)

m=4/0

m=undefined

(vertical line)

Help I will mark brainliest

Answers

Answer:

The size of angle PQR is 150°

Step-by-step explanation:

Lets explain how to solve the problem

- A polygon is regular when all its angles are equal and all its sides

 are equal

- The measure of each interior angle an any regular polygon

  = , where n is the number of its angles or its sides

∵ PQ and QR are two sides of a regular 12 sided polygon

∴ Q is one of its vertex

- We need to find the size of angle PQR

∵ Angle PQR is an interior angle in the regular 12 sided polygon

∴ n = 12

Use the rule above to find the size of the angle PQR

∵ The size of ∠PQR =

∴ The size of ∠PQR =

∴ The size of ∠PQR =

∴ The size of angle PQR = 150°

* The size of angle PQR is 150°

a certain Forest covers an area of 2000 square kilometers. Suppose that each year this area, decreases by 6%. What is the equation that best represents the area of the forest each year?

Answers

The answer is .06x * 2000, then you would subtract the number that results from this equation from the 2000 to get the area of the forest each year.

For example:

Let’s suppose that it is 3 years from the initial decrease. Let’s plug this into the equation.

.06(3) * 2000 = 360

Then you would take that 360 and subtract it from the 2000 to get the total area that is left

2000 - 360 = 1640 square km

Hope this helps!

Solve the following equations using algebraic operations ( 4x-1=2x+11)

Answers

Answer:

x = 6

Step-by-step explanation:

4x-1=2x+11

Subtract 2x from each side

4x-2x-1=2x-2x+11

2x-1 =11

Add 1 to each side

2x-1+1 = 11+1

2x = 12

Divide by 2

2x/2 = 12/2

x = 6

Triangle ABC, with the vertices at A(0,0) B(3,5) and C(0,5) is graphed on the set of axes shown below. Name the solid that is formed when triangle ABC is rotated continuously about side AC and state the radius of the solid

Answers

Answer:

Solid formed will be a CONE

Radius of the cone = 3 units

Step-by-step explanation:

Given points of a triangle are A(0, 0), B(3, 5) and C(0, 5).

Given triangle is a right triangle.

When the given triangle ABC is rotated about a line AC, a 3D image of a solid will be created in the form of a CONE.

This cone will have the radius = BC

Length of side BC = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

                              = [tex]\sqrt{(3-0)^2+(5-5)^2}[/tex]

                              = 3

Therefore, radius of the cone = 3 units

please need help I will be MARKING as BRIANILIST, thank you so much. ​

Answers

Answer:

Here is the mpg for each 6 cylinder:

(23), (24), (30), (23) ,(21), (20) ,(23), (21) ,(23), (22)

i : between 20-24 = 9/10

ii between 25-29 = 0/10

iii at least 30 mpg = 1/10

c- 38, 28,25,26,24,25

d- the mileage of six cylinder car is less than the mileage of four cylinder cars using the same amount of fuel. it is somehow accurate, other factor that affects is the model of the car and how big it is.

The sum of two consecutive numbers is 89. What are the two numbers? A. 43 and 46 B. 44 and 45 C. 38 and 51 D. 45 and 46

Answers

Answer:

C

Step-by-step explanation:

Its C

Rick is deciding what to wear to school. He has two different shirts, two different pants and two different pairs of shoes to choose from. How many different outfit combinations does he have to choose from?

Answers

Answer:

a total of 8 outfits

Step-by-step explanation:

shoes: L1, L2

shirts: S1, S2

pants: P1, P2

1: S1, P1, L1

2: S1, P1, L2

3: S1, P2, L1

4: S1, P2, L2

5: S2, P1, L1

6: S2, P1, L2

7: S2, P2, L1

8: S2, P2, L2

I hope that makes sense, since I couldnt figure out how to show the diagram.

Which phrase best describes the figure?

A- concave nonagon
B- convex octagon
C- convex nonagon
D- concave octagon

Answers

Answer:

Hi there!

The correct answer is: B. Convex Octagon

Step-by-step explanation:

The figure first classifies as an octagon because it has 8 sides.

Next you can tell whether or not it is concave or convex by remembering: concave has a "cave" in it.

Concave or Convex

A convex octagon has no angles pointing inwards. More precisely, no internal angles can be more than 180°. When any internal angle is greater than 180° it is concave.

The given figure is convex octagon. Therefore, option B is the correct answer.

What is octagon?

An octagon can be defined as a polygon with eight sides, eight interior angles, and eight vertices. When all the sides and angles of an octagon are equal in measurement, it is called a regular octagon.

Every polygon is either convex or concave. Convex octagons bulge outwards, whereas concave octagons have indentations (a deep recess). Convex octagons are those in which all the angles point outwards. A regular octagon is an example of a convex octagon. The octagon in which at least one of its angles points inwards is a concave octagon.

In the given figure, there are 8 sides and 8 angles.

Therefore, option B is the correct answer.

Learn more about the octagon here:

https://brainly.com/question/16543440.

#SPJ7

Your fixed expenses are $1,035.65/month and are 36% of your
realized income. Use proportions to compute the realized
income on your budget.
/month

Answers

Answer:

Your realized income is an estamated $2876.81 per month

Step-by-step explanation:

36% can be translated to decimal form as 0.36, when multiplying 2876.81 times 0.36 you get 1035.65, making your estimated Total monthly income $2876.81

y=a(x-r)(x-s) what is a and r and s ?

Answers

Answer:  

The constant a is the scale factor on the parabola; positive a makes a CUP (concave up), which is the usual orientation.  Negative a makes an upside-down parabola.  Big a (in absolute value) makes a skinny parabola, small a a wider one.

r and s are the zeros of the quadratic function, the values of x that give y=0.

Answer:

a , r, s , x all are variables

This equation has one solution. 3(x – 2) + 4x = 10(x + 1) What is the solution? A.–5 B.–2 C.StartFraction negative 16 Over 3 EndFraction D.StartFraction negative 16 Over 7 EndFraction

Answers

Answer:

-16/3 = x

Step-by-step explanation:

3(x – 2) + 4x = 10(x + 1)

Distribute

3x -6 +4x = 10x+10

Combine like terms

7x-6 = 10x+10

Subtract 7x from each side

-6 = 3x+10

Subtract 10 from each side

-16 = 3x

Divide by 3

-16/3 = 3x/3

-16/3 = x

Answer:

x = -16/3

Step-by-step explanation:

All work is in the image below!

Simplify the following expression.
(9x+ 2) + 5x

Answers

Answer:

14x+2

Step-by-step explanation:

9x+5x+2

14x+2

HELPPPPP PLEASE IT'S URGENT!!!!!!

What is the volume of the composite figure? Express the

answer in terms of .


A) 1447 mm

B)1687 mm

C) 3121 mm

D) 4567 mm

Answers

Answer:

Step-by-step explanation:

Volume of the hemisphere

V = 2/3π x r^3

= 144π cu. mm

Volume of the cone

V = 1/3π x r^2 x h

V = 168π cu. mm.

Volume of the composite figure

= 144π + 168π

= 312π cu. mm.

The ages of kids in a neighborhood are shown below. What is the mode?
5,8,3,1,5, 4, 4, 6, 12, 10,4

Answers

Answer:

the mode is 4

Step-by-step explanation:

the 4 appears more than the other numbers

Answer:

4

Step-by-step explanation:

Mode = Number shown the most.

What is the missing number that will complete the
factorization?
6
8
12
24

Answers

Answer:

6

Step-by-step explanation:

6xa is 6a, just like how 2xa is 2a as shown

The answer would is 6

can someone please help me on this question?

Answers

Answer:

The second figure is rhombus but the first figure is square

Other Questions
My mother pays my brother twice as much allowance each week as she pays me because he cleans the bathrooms. Together we get $27 each week. How much is my brother's allowance each week? A. $4.50 B. $9 C. $18 D. $27 How many ways can you select 2 pieces of fruits from a basket of 8 pieces? How does the electric force between two charged objects change when thedistance between the objects increases? All of the following are musical elements of Duke Ellingtons late 1920s and early 1930s "breakthrough" except:______. A. He clarified the nature of big-band jazz. B. He elevated jazz as a dignified, intellectual music. C. He composed popular songs in individual and adventurous ways. D. He made stride piano a part of his piano and orchestral style. E. He focused solely on blues style. what is 1.8 increased by 10?? which one of the following solids produces these two-dimensional shape when sliced horizontally? Write 9.13 x 10-3 as an ordinary number.Please The party planning committee has to determine the number of tables needed for an upcoming event. If a square table can fit 8 people and a round table can fit 6 people, the equation 150 = 8x + 6y represents the number of each type of table needed for 150 people Identify the sound effect in following line. "The moo in the quiet afternoon" alliteration, onomatopoeia, or assonance From the unbalanced reaction: B2H6 + O2 ---> HBO2 + H2OHow many grams of O2 (32g/mol) will be needed to burn 36.1 g of B2H6 (Molar mass = 27.67g/mol)? ______gInclude the correct number of significant figures in your final answer A. Survivors of the concentration camps were malnourished andstarving.B. General Dwight D. Eisenhower wanted to gather photographicevidence of the camps.C. Soldiers found bodies piled up when they liberated theextermination camps.D. The camps were kept secret from the majority of the Germanpublic. How many significant figures does 0.09164500561 have? 1.Water has always played significant role in human settlements from Ancient to Modern societies. Analyze the statement in context of Ancient Civilizations.please answer upto 250 words. can someone help me solve this Which type of nonvascular plant grows in new or disturbed environments? A. mosses B. ferns C. hornworts please help asap. I will award Which are examples of active transport across the cell membrane? a. osmosis and diffusion b. diffusion and facilitated diffusion c. osmosis and chemiosmosis d. endocytosis and exocytosis Solve 23 - Q >-3(2-6) How do I find the area of this figure? 1. Kane earns an annual salary of $42,500.He is paid twice a month with paychecks beingof equal amounts. If Medicare taxesrepresent 1% of his income, then how muchwill Kane bring home after Medicare taxes?