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

CONVERT THE PERCENTAGES FRACTION 120%​

Answers

Answer:

[tex]\frac{6}{5}[/tex]

Step-by-step explanation:

Answer:

6/5

Step-by-step explanation:

Its 6/5..

1 = 20%

Please give brainliest

Help please question in the picture

Answers

Answer:

81 m²

Step-by-step explanation:

The area of the figure = area of the rectangle + area of the triangle

= Length*Width + ½*base*height

Length = 10 m

Width = 6 m

base = 6 m

height = 7 m

Thus:

Area = 10*6 + ½*6*7

Area = 60 + 21 = 81 m²

Solve for y
X+y=6
X=4
Simplify your answer as much as possible
Will give Brainliest

Answers

Answer and workin your attached below. Hope it helps
2...........................

Simplify. 6 to the power of 2+3 to the power of 2.


Thanks!

Answers

Answer:

45

Step-by-step explanation:

6 to the power of 2 + 3 to the power of 2

6² + 3²

(6 × 6) + (3 × 3)

36 + 9

45

5a. Solve the equation. 4x = 32

Answers

Answer:

x=8

Step-by-step explanation:

have a good day

Answer:

x=8

Step-by-step explanation:

divide both sides of the by equation by 4

4x÷4=32÷4

x=32÷4

x=8

In the diagram below, what is the approximate length of the mirror arc AB?

Answers

Answer:

D) 15.7 cm

Step-by-step explanation:

radius = 10 cm

diameter = 10 x 2 = 20 cm

circumference = 20 x 3.14 = 62.8 cm

(90°/360°)(62.8) = 15.7 cm

The manager of a fast-food restaurant determines that the average time that her customers wait for service is 3.5 minutes.The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she doesn't want to give away free hamburgers to more than 1% of her customers. What number of minutes should the advertisement use

Answers

Answer:

The advertisement should use 16 minutes.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

The manager of a fast-food restaurant determines that the average time that her customers wait for service is 3.5 minutes.

This means that [tex]m = 3.5, \mu = \frac{1}{3.5} = 0.2857[/tex]

What number of minutes should the advertisement use?

The values of x for which:

[tex]P(X > x) = 0.01[/tex]

So

[tex]e^{-\mu x} = 0.01[/tex]

[tex]e^{-0.2857x} = 0.01[/tex]

[tex]\ln{e^{-0.2857x}} = \ln{0.01}[/tex]

[tex]-0.2857x = \ln{0.01}[/tex]

[tex]x = -\frac{\ln{0.01}}{0.2857}[/tex]

[tex]x = 16.12[/tex]

Rounding to the nearest number, the advertisement should use 16 minutes.

What is the arc measure of PQ?

Answers

Answer:

47.1

Step-by-step explanation:

l= rø

or, l= 18 × 5π/6

or, l= 15π

l = 47.1

47.1 your welcome now can you please help me with my history work

it takes Emma 18 minutes to type 14 pages of a manuscript. find how long it takes her to type 77 pages

Answers

Answer:

99 minutes

Step-by-step explanation:

18/14 = 1.286 minutes per page

1.286 x 77 = 99 minutes

Select the correct answer. 1 -23 1-4 What is the result of the operation 2 O A. 6 -10 -2 -16 4 6 -2 R 5 8 6 _4 Ос. 16 -4 6 4 2 6 -10 2 -16 4 -4 -28​

Answers

9514 1404 393

Answer:

  D

Step-by-step explanation:

Choices A and D agree in all but one term: row 2 column 3 is (-2)(3) = -6. The term with the correct sign is only found in choice D.

Luke's answer makes sense or is nonsense.His model is correct or incorrect. There are [blank] not 3 inches, in a foot.

Answers

Luke’s answer is nonsense. His model is incorrect. There are 12 inches, not 3 inches, in a foot.

Factor out the common factor in -45 + 81n + 90n^2

Answers

A: I think it’s 9(−5+9n+10n2)

Step-by-step explanation:

Pls help


Due at 5


Plsssss (NO LINKS)

Answers

Answer: if it is -7+10 then it is 3

Do the following conditions make a unique triangle, more than one triangle or no triangle possible

Answers

Answer:

No triangle possible

Step-by-step explanation:

The one side is to short to make a triangle

In​ Joe's fish​ tank, there are 7 goldfish and 12 snails. How does the ratio 12​:19 describe​ Joe's fish​ tank?

Answers

Answer:

honestly this was the only thing i was ever good at in math.

its kinda fun cuz its like puzzle solving.

Answer:

The ratio represents they are 12 snails for every 19 sea creatures in Joe's tank.

Step-by-step explanation:

In total, there are 19 sea creatures in the tank. And since there are 12 snails in the tank, the ratio represents that there are 12 snails for every 19 sea creatures in Joe's tank.

Please like and mark brainliest!

Hope it helps!

Question 6 of 10 What is the slope of the line that contains the points (-2, 2) and (3, 4)? O A. 01N B. 5 C. 5 2 D. 2 SUBMIT​

Answers

Answer:

I don't know what those answer choices are but the answer should be: [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

4-2 = 2

3 - (-2) = 5

Put the y values over the x

[tex]\frac{2}{5}[/tex]

Please need help thank you

Answers

Answer:

12 miles

Step-by-step explanation:

Area=length*width

To find the length using the area, do area/width.

96/8=12

please help mark brainliest ( no attachments please)

Answers

Answer:

I think 3 hours

Answer:

2/6 in 2 hours

Step-by-step explanation:

Help quick?!!?!?!?!!?!?!,

Answers

The area is 38,4895. Since the formula for the area of a quarter circle is pi*r^2/4.

In a popular online role playing game, players can create detailed designs for their
character's "costumes," or appearance. Fatoumata sets up a website where players
can buy and sell these costumes online. Information about the number of people who
visited the website and the number of costumes purchased in a single day is listed
below.
126 visitors purchased no costume.
228 visitors purchased exactly one costume.
34 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase
exactly one costume as a decimal to the nearest hundredth.
Mk

Answers

Answer: 0.59

Step-by-step explanation:

The probability that the next person will purchase exactly one costume is 0.59.

What is probability?

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total number of visitors = 126+228+34 = 388

Total number of visitors who purchased exactly one costume = 228

The probability = 228/388 = 0.587 ≈ 0.59

Thus, the probability that the next person will purchase exactly one costume is 0.59.

Learn more about the probability here:

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Choose all lengths that are equal to
6 feet 12 inches.

Answers

Answer:

Can you show a picture? Or like tell us the options?

PLS ANSWER QUICK, HELP

Answers

Length x Width x Hight

Np

Answer:

1/2. gallon.............

Original scale: 1 inch = 8 feet. A parallelogram with a side length of 24 feet. A larger parallelogram with a side length of 72 feet.
Noah planned a parallelogram-shaped sidewalk to lead from the street to the front door of his house. He realized the walkway was too short and he needs to change the length to 72 feet. He wrote a ratio to find the change in the scale factor.

24 ft
72 ft
=


The change in the scale factor is
✔ 1/3
.
The change of scale means that 1 inch represented
✔ 8
feet, but now 1 inch represents
✔ 24
feet.

Answers

Answer:

The change in the scale factor is

1/3

The change of scale means that 1 inch represented

8

feet, but now 1 inch represents

24

feet.

Step-by-step explanation:

If you have a rectangle or square, each of the angles measures 90°. If you have a parallelogram or rhombus, the opposite angles are the same and the consecutive angles are supplementary. For other types of quadrilaterals you may need to add the given angles and then subtract from 360°.

[Also Pic with proof]

The change in the scale factor is

1/3.

The change of scale means that 1 inch represented 8 feet, but now 1 inch represents 24 feet.

If you have a rectangle or rectangular, each of the angles measures 90°. if you have a parallelogram or rhombus, the opposite angles are the same and the consecutive angles are supplementary. For different types of quadrilaterals, you can want to feature the given angles and then subtract from 360°.

What is the scale factor?

The scale factor is a degree for similar figures, who appear the same but have distinctive scales or measures. Assume, the circle looks similar however they might have various radii. The scale factor states the scale by the way which a determined is larger or smaller than the original figure.

Learn more about scale factor here: https://brainly.com/question/10253650

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The function f(x) models the value of imported goods into the United States, and the function g(x) models the value of exported

goods from the United States, where x is the number of years since 1990.


Which statements are correct?

A) g(x) appears to be a linear function

B) f(x) appears to be an exponential function


C)Exports increase more quickly around the year 2041


D) Exports eventually exceed imports from the united States


E) A quantity increasing exponentially eventually exceeds a quantity

increasing linearly

Answers

Answer:

C, D, E

Step-by-step explanation:

I did the USATESTPREP

9, 14, 12,17,15, 20,18
what is the rule for the following pattern?

Answers

Add 5 then subtract 2 on the next number

A farmer is worried that a recent salmonella outbreak may have come from the carrots on his farm. He wants to test the carrots at the farm, but it will ruin the crop if he tests all of them.
a. If the farm has 10,000 carrots growing, describe a method that would
produce a random sample of 10 plants.
b. Why would a random sample be useful in this situation?

Answers

Answer: for b. Step-by-step explanation: The random sample would show multiple outcomes of the carrot growth and the combinations, i believe

The population of a city decreases by 4% per year. If this year's population is 171,000, what will next year's population be, to the nearest individual?

Answers

How I usually find % is in the calculator I put the number im trying to find the percent of so in this case 171,000 and I multiply that by .4 in the calculator so I would put in 171,000*.4 and get 68,400 but that’s not the answer because you have to get rid of the last number so 4% of 171,000 is 6,840 then you subtract that from 171,000 and that’s your answer I got 164,160 I hope this helps :)

how many hundred billions in the number 432,845,979,484

Answers

There are 4 hundred billions in the number 432,845,979,484.

To determine how many hundred billions are in the number 432,845,979,484, we need to consider the place value of the hundred billions digit.

The number 432,845,979,484 has 12 digits, and we count the digits from right to left, starting with the units place. The digit in the hundred billions place is the seventh digit from the right.

Let's break down the number:

4 hundred billions (4 x 100,000,000,000)

3 ten billions (3 x 10,000,000,000)

2 billions (2 x 1,000,000,000)

8 hundred millions (8 x 100,000,000)

4 ten millions (4 x 10,000,000)

5 millions (5 x 1,000,000)

9 hundred thousands (9 x 100,000)

7 ten thousands (7 x 10,000)

9 thousands (9 x 1,000)

4 hundreds (4 x 100)

8 tens (8 x 10)

4 units (4 x 1)

As we can see, there are 4 hundred billions in the number 432,845,979,484.

For more question on number visit:

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Can anyone help me please:)

Evaluate the expressions below.
14x + 2 and 2(7x + 1)
x = 10

Answers

Answer: 142 and 142

Explanation: 14x + 2 and 2(7x + 1)
14(10) + 2 = 142 and 2(7(10) + 1) = 142

Hope this helped! :)

Answer:

142

Step-by-step explanation:

14x+2

(14)(10)+2

=142

2(7x+1)

2((7)(10)+1)

=142

hope this helped! :]

When creating equations for our word problems, we must remember to...

A. write all equations in slope-intercept form.

B. make sure all equations are in the same form.

C. define all variables.

Answers

9514 1404 393

Answer:

  C.  define all variables

Step-by-step explanation:

Equations for word problems will depend on the problem. Not all of the equations will be linear equations. Even if they are, they are not necessarily easily written in any particular form, or easily solved when they are written in that form. The nature of the equations will depend on the problem.

One thing that must be done in any case is define all variables. It is usually a good idea to define the units of the variable(s) as well. Sometimes problems are posed with numbers in incompatible dimensions, or they may ask for an answer in dimensions different from those used in the given information. In order to avoid confusion and to be sure you have the desired answer, you need to make sure the variables and their dimensions are compatible with the solution process.

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