Mathematics College

The work of a student to solve the equation 3(3y − 8) = 10 + 3y is shown below:

Step 1: 3(3y − 8) = 10 + 3y
Step 2: 6y − 5 = 10 + 3y
Step 3: 3y − 5 = 10
Step 4: 3y = 15
Step 5: y = 5

In which step did the student first make an error and what is the correct step?

Step 2: 9y − 24 = 10 + 3y
Step 2: 6y + 11 = 10 + 4y
Step 3: 6y − 8 = 3(6 + y)
Step 3: 3(3y − 8) = 7 + y

Answers

Answer 1
Step 2 9y - 24 = 10 + 3y because 3 times 3y its not 6y nor is 3 times 8 equal to 5

Related Questions

Write the inequality for the description. Use x as your variable.
Mary has at least 14 pairs of shoes in her closet.​

Answers

Answer:

x≤14

Step-by-step explanation:

≤ = greater than/equal to(at least)

Two hundred sixty students were surveyed on whether they prefer apple juice or orange juice. A table of relative frequencies is shown. How many more girls prefer apple juice than boys?

Answers

this is a hard question because usually boys prefer apple juice

Answer:

91

Step-by-step explanation:

what is the answer for 1/3x+y=4 and if you use big ideas math program and you got the right answer lemme know

Answers

Answer:

x=-3y+12

Step-by-step explanation:

Yes.

3. Solve y = 2(x - 3) when:
a. X = 4
b. y = 8​

Answers

Answer:

Hello!

Ok so first you plug in y as 8 and x as 4. You first do the math in the parentheses so 4-3 is 1, then 1 times 2 is 2. It should be like this 8=2. Then you do 8 divided by 2 which is 4.

Step-by-step explanation:

3a. The answer is y=3
3b. The answer is x=7

Given x3/4 find a and b when changing to radical form a (square root) b

Answers

Answer:

0.9644

Step-by-step explanation:

                                                                                                                                           

solve the equation of the 18y = 144 to find the value of y

Answers

Answer:

y=8 i think

Step-by-step explanation:

Answer: y=8

Step-by-step explanation: You divide 18y/18 to isolate y but what you do to one side you must do to the other do you divide 144/18 as well so get the answer of y=8

I hope this helps you or anybody!

The mean grade in Mathematics of Grade 11 students from school A is 83 with standard deviation of 4, while the mean grade in Mathematics of Grade 11 students from school B is 87 with standard deviation of 5. Using 49 samples from school A and 64 from school B, what is the probability that the mean grade of students from school B exceeds the mean grade of students from school A by at least 3 but less than 5?

Answers

Using the context surrounding the word trough in line 9 of "Concrete Mixers," explain what a trough looks like and what it does on a concrete mixer. .

sorry I can't delete it this not answer your question

Write the exponential equation
A. y = 2.5(2)^x
B. y = 10(1/2)^x
C. y = 2(2.5) ^x
D. y = 1/2(10)^x

Answers

Answer:

A. y = 2.5(2)^x

Step-by-step explanation:

Given that when

x = 1, f(x) =  5

x = 2, f(x) =  10

x = 3, f(x) =  20

x = 4, f(x) =  40

x = 5, f(x) =  80

x = 6, f(x) =  160

Considering all the options

y = 2.5(2)^x

Substitute x = 1

y = 2.5(2)^1 = 2.5 *2 = 5

Substitute x = 2

y = 2.5(2)^2 = 2.5 * 4 = 10

Substitute x = 3

y = 2.5(2)^3 = 2.5 * 8 = 20

Substitute x = 6

y = 2.5 (2)^6

= 2.5 * 64

= 160

Since the function is true for all the values of x substituted, then the answer is A. y = 2.5(2)^x

We run a terminating simulation 20 replications to estimate the average throughput of a manufacturing system. Suppose that the observed throughputs from these 20 replications are 4, 5, 7, 5, 8, 7, 5, 9, 10, 5, 6, 7, 2, 11, 6, 3, 2, 11, 10, 7. a. (0.1 point) What is the 99% t-confidence interval for the mean throughput

Answers

Answer:

[tex]CI =6.5 \± 1.09[/tex]

Step-by-step explanation:

Given

[tex]Data: 4, 5, 7, 5, 8, 7, 5, 9, 10, 5, 6, 7, 2, 11, 6, 3, 2, 11, 10, 7[/tex]

Required

Determine the 99% t-confidence interval

First, calculate the mean

[tex]\bar x =\frac{\sum x}{n}[/tex]

[tex]\bar x =\frac{4+ 5+ 7+ 5+ 8+ 7+ 5+ 9+10+ 5+ 6+ 7+ 2+ 11+ 6+ 3+ 2+ 11+ 10+ 7}{20}[/tex]

[tex]\bar x =\frac{130}{20}[/tex]

[tex]\bar x =6.5[/tex]

Calculate the standard deviation

[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)}{n}[/tex]

[tex]\sigma =\sqrt{\frac{(4-6.5)^2+ (5-6.5)^2+ ........+ (2-6.5)^2+ (11-6.5)^2+ (10-6.5)^2+ (7-6.5)^2}{20}}[/tex]

[tex]\sigma =\sqrt{\frac{143}{20}}[/tex]

[tex]\sigma =\sqrt{7.15}[/tex]

[tex]\sigma =2.67[/tex]

The z score for 99% confidence interval is:  2.576

The confidence interval  is calculated as:

[tex]CI =\bar x \± z * \frac{\sigma}{\sqrt n}[/tex]

[tex]CI =6.5 \± 2.576 * \frac{2.67}{\sqrt {40}}[/tex]

[tex]CI =6.5 \± 2.576 * \frac{2.67}{6.32}}[/tex]

[tex]CI =6.5 \± 1.09[/tex]

Pllllllllllllllllllllllllllllssssssssssssssssssssssssssss

Answers

Answer:

50.24 units^2

Step-by-step explanation:

Area of circle formula: [tex]\pi[/tex]r^2

r = 4, [tex]\pi[/tex] = 3.14

3.14 * (4^2) = 3.14 * 16 = 50.24

Answer:

Step-by-step explanation:

3.14*4^2

3.14*16= 50.24

Find the range of the data. 26, 21, 27, 33, 24, 29

Answers

Answer:

33-21=9

Step-by-step explanation:

need help ASAP plssssssssssssssssss

3,945 ÷ 45 = (?)
R (?)

Answers

87.66666.... or 87.666667 unless your rounding then it’s just 88.

Need the answer to x and y !

Answers

x = 2 y = 7

Step-by-step explanation:

the explan at the pic

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer: clockwise 90 degrees

Step-by-step explanation:

Answer:

Clockwise 90º

Step-by-step explanation:

270º/90 = 3

This means to rotate the quadrilateral 3 times amongst the x and y axis.

Counterclockwise 90º x1 = y at (0,-3)

Cc90º x2 or cc180º = y at (3,0)

Cc90º x3 or cc270º = y at (0,3)

If you wanted to move clockwise to (0,3), you'd only have to move 90º

Counterclockwise 270º = Clockwise 90º

Put this numbers from least to greatest.

A: 3.2, 0.67, 9, 1.78, 0.651.

please please please please please PLEASE please please please please please please please please please please help me.​

Answers

Answer:

0.651, 0.67, 1.79, 3.2, and 9

Step-by-step explanation:

Answer:

0.651. ,0.67 ,1.78 ,3.2 ,9

Step-by-step explanation:

well if your confused on 0.651 and 0.67 i personally may go for the first two unless if the questions longer

Help Plis ...............

Answers

Answer:

it is positive 3/4

Step-by-step explanation:

it is the opposite of -3/4

Answer:

it would be a positive 3/4

You had $25 to spend on eight avocados.
After buying them you had $9. How
much did each avocado cost?

Answers

Answer:

Each avocado costs $2

Step-by-step explanation:

subtract 9 from 25 and get 16

divide 8 by 16 and you have $2

-
James ran mile on Monday. On
Tuesday, he ran 3 times as far. Which
equation can be used to determine x,
how far James ran on Tuesday?

Answers

Answer:

c

Step-by-step explanation:

gggehheueuru jshgsgsgsgsgsggsgs

HELP ASAP!!! A spinner has three sections colored green, purple, and pink. If the spinner is spun twice, how many branches would the tree diagram that represents this situation have? 6 5 9 12

Answers

Answer:

The answer is 9.

Answer:

The answer is 9

Step-by-step explanation:

I got it right on the quiz

given that 16 ounces is 1 pound, how many ounces are in 12.4 pounds.
A. 192
b.198.4
c. 201.6
d. 208

Answers

198.4

Since there is 16 ounces in 1 pound you would do 12.4 x 16 which is equal to 198.4
Hope I helped

1. Find
A) 35
B) 47.5
C) 67.5
D) 95

Answers

Answer:

i am pretty sure it is 95

Step-by-step explanation:

Answer:

B IS THE ANSWER.

Step-by-step explanation:

The angle is less than 50 degrees but more than 30.

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

Answer:

36?

Step-by-step explanation:

split in two, triangle 6x6=36/2=18, rectangle 6x3=18, whole 18+18=36 your answer is 36

Answer:

it's 36 square feet

Step-by-step explanation:

PLEASE HELP! IM LIKE STUCK AND I NEED HELP! YOU'LL GET 50 POINTS !!!!

Answers

I got it hold up I will use my app

Answer:

5m + 9n + 46

Step-by-step explanation:

5m +10 +9n +36

(i did that by distributing from parenthesis)

5m + 9n + 46

(i just simplified by adding 10 and 36)

y=(x/8+w) solve for w

Answers

the answer is w=-x/8+y

Lodging is $75.00 per night. Find the cost of three nights and 7% sales tax.

Answers

Answer: $240.75

Step-by-step explanation:

Can someone help me with this right now? :(

Answers

Answer:

A- 6/x^2

Step-by-step explanation:

1) What kind of mindset do you have when it comes to Math?
Explain.
Please help i dont Know how to answer it

Answers

Answer:

A mindset is kind of like a mood. They are asking you what kind of mood or how you feel when it comes to math.

Step-by-step explanation:

Example |  Fixed Mindset: I'm jealous of other people's success. Growth Mindset: I am inspired by other people's success.

A thermos held 2,500 milliliters of water. How many liters of water did it hold? A 250.0 liters B 25.0 liters C 0.25 liters D 2.5 liters

Answers

Answer:

2.5 liters

Step-by-step explanation:

True or False
You can only multiply exponents when the bases are the same.

Answers

Answer:

The answer is false

Answer:

False

Step-by-step explanation:

Solve for X if D = -9

3 + 6x · 5d = ?

Answers

Answer:

3-270x

Step-by-step explanation:

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