Brainliest and 15 points

The work of a student to solve a set of equations is shown below:

Equation 1: x + 2y = 10
Equation 2: 2x + 5y = 15

Step 1: −2(x + 2y) = −2(10)
2x + 5y = 15

Step 2: −2x − 4y = −10
2x + 5y = 15

Step 3: 1y = 5

Step 4: x + 2(1) = 10

Step 5: x = 8


In which step did the student first make an error?

Step 1
Step 2
Step 3
Step 4

Answers

Answer 1

Answer:

Step 2 has error and step 4 has error.

Step-by-step explanation:

Here we can see that elimination method is  applied to solve the  system  of equations  for which -2 is multiplied both sides of equation first

-2(x+2y)=-2(10 which is correct

but in step 2

left side is -2x-4y and the right side is -10 which has to be -20 which makes this step wrong and this is the error made by student.

in Step 4 also ,value of the y has to be 5 but student plugged y =1 which is also error by student.

Correct solution is

   -2x-4y= -20

     2x+ 5y= 15

on adding ,we get

y = -5

plugging y =5 in equation x+2y= 10 ,we get x+2(-5) =10 ,we get x = 20

therefore (20,-5) is the  solution

Answer 2

Answer:

step 2

Step-by-step explanation:


Related Questions

if S is midpoint of GA, then?

Answers

that means S is in the middle between G and A

[tex]s \: = \: \frac{g + a}{2} [/tex]

Which word describes the slope of the line?
positive
negative
zero
undefined

Answers

Answer:

zero

Step-by-step explanation:

Answer:

zero

Step-by-step explanation:

if the line were to be vertical then it would be undefined

positive if the line went diagonally with the line going to the top right

negative if it went from top left to bottom left  

Find the value of angle A and angle B

Answers

hello

so these angles you can apply the "vertically opposite angles are equal" rule

angle "A" is vertically opposite to 138º so therefore angle "A" is 138º

angle "B" is verticall opposite to 42º so therefore angle "B" is 42º

hope this helped and have good day :)

Help me please and yank you

Answers

Answer:

The answer is b

Step-by-step explanation:

Please help with this word problem!

Answers

Answer:

a)

x = (158-112) / 1x

or  158-112 / x

b)  112+ 23 /158-23 = x

or if you want x to be the same value as  the first part then you could write

112+x / 158-x = 135/135

or revise as an equality

23 ≤ 112 < 158

112  + 23 = 158

112 + x = 158

     

Step-by-step explanation:

Tailwind speed

x = 158-112 / 2

x = 46/2

x = 23 knots

Speed

x = 112 + 23 / 158-23

x = 135 / 135 m/h = same speed as stated in question.

Write the number 0.00004 in scientific notation.

Answers

Answer:

4.0 x 10^-5

Step-by-step explanation:

Answer:

4*10^-5

Step-by-step explanation:

Start by counting the zeros to the right of the decimal if 0<x<1. Stop when you hit a digit between 1 and 9Add 1 to the number of zerosThis is the powerExpress the number as one between 1 and 9 The power is changed to a negative, if 0<x<1

0.00004 has 4 zeros. Add 1 = 5

The power on 10 becomes negative (-5)

4 is a number between 1 and 9 inclusive.

4 * 10^-5

Please help
In order for you to carry a bag on the plane, it must t inside the Carry-on Baggage Check Box.
The Carry-on Baggage Check Box has dimensions of approximately 22" x 14" x 9". Your leather bag has a
height of 18 inches, a depth of 12 inches, and a width of 8 inches. Your canvas bag has a height of
18 inches, a depth of 15 inches, and a width of 10 inches.


1. What is the volume of the Carry-On Baggage Check Box?

2. What is the volume of the leather bag?

3. What is the volume of the canvas bag?

4. Which bag will denitely t into the Check Box? Explain.

Answers

Step-by-step explanation:

guessing

volume is always unit cubed

so in this case inches cubed or in^3

so multiply all 3 numbers

carry on is 22×14x9= 2772 in^3

leather is 18×12×8 = 1728 in^3

canvas is 18×15×10 = 2700 in^3 but the depth in ge's canvas 15" in larger than the carry on checklist

so

the leather will definitely fit

if f(x)=3^x+10 and g(x)=4x-2, (f-g)(x)

Answers

the answer is 12x^x +40x -6^x-20

there are rational numbers that are integers / true or false

Answers

This is a true statement.

Answer:

True

Step-by-step explanation:

hope it helps

In 2008, the minimum wage was $8 per hour. Now it is $13. By what percent did the price change?

PLS HELP!!! :(

Answers

Answer:

62.5%

Step-by-step explanation:

13-8=5

5/8 × 100=62.5

(13x-26) (5x+8) HELP

Answers

Answer:

x=11

Step-by-step explanation:

13×11+26=117

5×11+8=63

117+63=180

Martha’s bakery started with 200 cupcakes in the morning. After a busy afternoon, there were only 60 cupcakes left. By what percent did the cupcake inventory drop?

Answers

Answer:

70%

Step-by-step explanation:

140 = 200x

140/200 = x

14/20 = x

7/10 = x

70%

Answer: It dropped by 70%

Step-by-step explanation:

200-60=140

140/200=.70

Solve the equation.
-X +8 + 3x =X-6
Ο χ= -18
Ο χ=-14
Ο Χ=2
Ο Χ=4

Answers

Answer X=-14 explanation: it’s the right one

Lin opened a lemonade stand during the summer. She

noticed that she sold more lemonade on warmer days.

For each day she sold lemonade, she plotted the point

(t,c), where t represents high temperature and c

represents cups of lemonade sold.

b. A computer program found that the line c= 2t - 89

is a good fit for the data. Use this equation to predict

how many cups of lemonade Lin might sell on a day

when the high temperature is 74 degrees.

c. the high temp this Sunday is expected to be 5 degrees warmer that the high temp this Saturday. using the line c = 2t - 89 how many more cups of lemonade should lin expect to sell on Sunday than Saturday? explain or show your reasoning

Answers

Answer:

59 cups ;

10 cups

Step-by-step explanation:

Given that he fitted model :

c = 2t - 89

Where, c = cups of lemonade sold ; t = high temperature

On a day when high temperature is 74 degrees ; cups of lemonade sold

Hence,

c = 2t - 89

c = 2(74) - 89

c = 148 - 89

c = 59 cups

Sunday is expected to be 5 degree warmer than on Saturday :

The number of cups sold on Sunday using the fitted model should be :

Difference in temperature between Saturday and Sunday multiplied by the slope value

Slope value from the model = 2

Temperature difference = 5

Difference in Number of cups :

2 * 5 = 10 cups

Number of lemonade sold on Sunday will be 10 cups more than that sold on Saturday

Answer: 59 cups

Step-by-step explanation:

its 59 cause yea

pls help with these the perosn with the correct answer will get a brainliest

Answers

Answer:

17 and 20

Step-by-step explanation:

omg I can't explain it took much time to solve I've got no time

im so sorry

At a particular time of a day, a-7-m high flagstaff casts a shadow which is 8.2m long. What is the height the building which cast a shadow 20.5m in length that the same moment

Answers

Answer:

17.5m

Step-by-step explanation:

We solve using the formula

Height /Shadow

Height of flag staff = 7m

Shadow of flag staff = 8.2 m

Height of the building = x

Shadow of the building = 20.5

= 7/8.2 = x/20.5

Cross Multiply

8.2x = 7 × 20.5

x = 7 × 20.5/8.2

x = 143.5 / 8.2

x = 17.5m

The height of the building is 17.5 m

7. What is the image of p for a dilation with center (0,0) and a scale factor of 2.5?

A (-2.5, 5)
B (2.5, -5)
C (2, 2.5)
D (-5, -2.5)

Answers

Answer:

A (-2.5, 5) Might Not Be Right

Step-by-step explanation:

Solve the right triangle

Answers

Answer

measure of angle A: 28 degrees

BC ≈ 13.3

BA = 28.3

hope this helps

Step-by-step explanation:

angle A

90- 62 = 28

angle A = 28

BC

tan (A) = BC / 25

(25) tan 28 = BC / 25 (25)  multiply 25 on both sides to cancel it out from BC

13.292735 = BC

BC ≈ 13.3

BA

BA^2 = 13.3^2 + 25^2  Pythagorean theorem

BA ≈ 28.3

If any of these are wrong, just follow the steps and make sure to use Ans in the calculator instead of rounding your numbers! Good luck :)

What is the measure of ∠I? Explain. (1 point)

Answers

Answer:

112.5°

Step-by-step explanation:

its the same as G, but I need to know if you have any measurements?

f=67.5 e=75  h=105

180-67.5= 112.5

since G and I are interior opposite angles then they are the same. So I equals 112.5  

someone help -2 • (- 4.5 ) =

Answers

Answer:

9

Step-by-step explanation:

The product of two negative numbers is a positive number, and 2(4.5) = 9.

Thus, -2 • (- 4.5 ) = 9

Deloria says she can find the relative frequency of nuts based on another relative frequency. What might she be doing?

Answers

Answer:

frequency of nuts based on another relative frequency. What might

she be doing

nuts:3/30=15%

a mealworm crawled 2.1 meters in 6 minutes. At that rate, how many meters did the mealworm crawl in 1 minute

Answers

Answer:

the mealworm would've crawled 0.35 meters in one minute

Step-by-step explanation:

Ok, 2.1 meters in 6 minutes, how long did it travel in 1 minute?

to get 6 minutes to 1 minute, we need to divide 6 by 6 to get to 1.

we need to divide 2.1 by 6

2.1 / 6 = 0.35

good luck my friend!

-cheesetoasty

What is the multiplier? *
х y
0 0.01
1 0.005
2 0.0025
3 0.00125

options:
a) 2
b) 5
c) 1/5
d) 1/2

Answers

The answer is d) 1/2

y-x=sin^-1(y)-sin^-1(x)
Find dy/dx​

Answers

Answer:

dydx=−1x√x2−1.

Step-by-step explanation:

Then, differentiating simplicity gives: cosydydx=−x−2 ∴dydx=−1x2cosy.

Can someone helppp me

Answers

Step-by-step explanation:

To find the Circumference of a triangle you use the formula C= 2(pi)r

in both of the problems you have the radius(r) and you plug the #'s in and solve

(pi)= 3.14...

#1.

2(pi)14.5

28(pi)

C= 87.92

#2.

2(pi)9.5

19(pi)

C= 56.66

Solve the equation for x.

-x/8 = 1

x = _______

Answers

Answer:

x = -8

Step-by-step explanation:

-x/8 = 1         *-1

x/8 = -1         *8

x = -8

Leave a like if this answered your question

Convert 5pie/3 radians to degrees

Answers

Answer:

300 degrees

Step-by-step explanation:

After converting the given equation 5π/3 into degree, the value obtained will be equal to 300°.

What is an expression?

If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.

The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. In order to include terms into an expression, a mathematical operation like reduction, addition, multiplication, or division is used.

As per the given information in the question,

5π/3 radians to degree.

To convert radians to degree multiply it with 180/π

So,

5π/3 × 180/π

= 60 × 5

= 300°

To know more about Expression:

https://brainly.com/question/14083225

#SPJ2

I need your help, please answer!!

Answers

Answer:

includes cluster lienier includes oulier

Step-by-step explanation:

:)

NEED HELP QUIKLY PLEASEEEEE

Malachi has a list of the estimated costs for each semester to attend a university. What is the total estimated cost to attend college for six years?
ITEM: Tuition and fees:$5,650 Room and bored:$3,500 Book and supplies$1,250 personal expenses:$1,100

Answers

Answer:

138,000

Step-by-step explanation:

Add up expenses per SEMESTER

5650+3500+1250+1100=11,500

2 semesters in one year so double Semester amount

11,500x2=23,000

Multiply annual expense by 6 years

23,000x6=138,000

So like I need help............please?

Answers

Maybe 7 i am not sure
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