Jacob attempted the third problem above but when checking his work he realized he made a mistake. Identify what Jacob’s mistake was in your own words, and explain what Jacob would need to do differently to avoid making that mistake in the future:
5(x+2)-7=3x+5
5x+2-7=3x+5
5x-5=3x+5
5x-5+5=3x+5+5
5x=3x+10
5x-3x=3x-3x+10
2x=10
x=5 5[(5)+2]-7=3(5)+5
5(7)-7=3(5)+5
35-7=15+5
28=20
What happened?

Answers

Answer 1

Answer:

Jacob forgot to use the distributive property in the 1st step

Step-by-step explanation:

Jacob should've got 5x+10-7=3x+5 for the 2nd row.

Answer 2

Jacob should be more careful when distributing the numbers, and make sure to distribute into every term inside the parentheses.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given solution is

5(x+2)-7=3x+5

5x+2-7=3x+5

5x-5=3x+5

5x-5+5=3x+5+5

5x=3x+10

5x-3x=3x-3x+10

2x=10

x=5 5[(5)+2]-7=3(5)+5

5(7)-7=3(5)+5

35-7=15+5

28=20

Here we can see that the correct distribution of 5(x+2) would be 5x + 10.

Because Jacob distributed 5 into x correctly and got 5x, however he did not distribute the 5 into 2 properly. It should have been 10.

Jacob should be more careful when distributing the numbers, and make sure to distribute into every term inside the parentheses.

Learn more about equations here;

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Related Questions

Molly has 1/2 cup of strawberries. She needs 3/8 cup of strawberries to make one batch of muffins. How many batches can she make?

Answers

Answer:

1 and 1/8 of a batch

Step-by-step explanation:

First you multiply 1/2 by 4 and get for 8 and then you subtract 4/8 - 3/8 and you take the sum of that and add one hole

I still dont get this ​

Answers

Answer: 4 x (8 + 5) = (4 x 8) + (4 x 5)

Step-by-step explanation:

multiply the 4 by what is in the ( )

4x8 = 32

4x5= 20

so it equals what is on the other side (in the blanks, you just plug in the 8 and 5)

so it would be

4 x (8 + 5) = (4 x 8) + (4 x 5)

Which of the following is a rational number????
2,3,4,5

A. 2
B. 3
C. 4
D. 5

Answers

the rational number is 3 B

CAN ANYONE PLZZ TELL ME THE SQUARE OF ALL THE NUMBERS IN THE CLOCK ?
PLZZ

Answers

Answer:

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144

Step-by-step explanation:

Find the value of (x + 1) in this equation.
1/3 (6x − 5) − x = 1/3 − 2(x + 1)

Answers

Answer:

22

Step-by-step explanation:

You have to do order of op

Mahima deposited 178five hundred rupe note in the bank how much money did she deposited in the bank. 4rt class my bro needs answer Plz

Answers

The answer is 89000.
Just multiply 178 by 500.

Carlos is building a game room adjacent to his living room so that both rooms will have the same width. he created the model shown below. (x+4) (2x+6) (x-4)Part A: write an expression for the total area of both rooms Part B: if the length of the game room is 12 feet, what is the total square footage of the two rooms??

Answers

Answer:

1,000 sq ft

Step-by-step explanation:

Part A:

To find the total area of both rooms (length x width):

(x+4)(2x+6+x-4)

(x+4)(2x+2+x)

2x²+2x+x²+8x+8+4x

= 3x²+14x+8

Part B:

If the length of the game room = 12 ft, we can solve for x:

Game room = (x-4)=12; therefore x=16

Plug 16 in for x in the equation from Part A:

3x²+14x+8 becomes 3(16)²+14(16)+8

= 1,000 sq ft

please help...............

Answers

Answer:

Step-by-step explanation:

130  17/1000

HELP MATH TEST I WILL PUT U BRAINLIEST WHICH ARE FUNCTIONS

Answers

Answer:

1 = Yes

2 = No

3 = No

4 = Yes

5 = Yes

6 = Yes

7 = No

8 = No

9 = Yes

please answer this asap i’m so confused on graphing

Answers

1. It’s the max at -2,4
It increases up to negative 2 and then slowly decreases
Domain: negative infinity to positive infinity
Range: infinity to 4
Axis line is -2

Find the midpoint of points A(-6,9) and B(2,3) graphically.​

Answers

I’m too lazy to draw a graph but
AB=[2-(-6) , 3-9] = (8,-6)
AB/2 = (8,-6)/2 = (8/2,-6/2) = (4,-3)
mind point of AB is (4,-3) just draw that on a graph and u got it

A store sells bouquets of fruits for $10 a bouquet. The daily cost to produce x bouquets of fruits is defined by the function f(x) = – x 4 + 3x 3 + 5x 2 + 20x + 1.

Answers

Answer:

5 or C

Step-by-step explanation:

when you plug in 5, you get -24 as the cost. Then you take that number with the amount of money you make selling 5 flowers and that would be $50 since they are $10/per bouquet. Then when you subtract you get a positive profit of $26.

Answer:

5

Step-by-step explanation:

For profit to be had, the selling price (represented by $10x, x being number of bouquets sold) must be greater than the cost to produce (here, -x^4 + 3x^3 + 5x^2 + 20x +1).

Set up an inequality such that 10x is greater than the cost to produce.

10x > -x^4 + 3x^3 + 5x^2 + 20x + 1

-Solving the inequality by subtracting 10x from both sides, we have:

0 > -x^4 + 3x^3 + 5x^2 + 10x + 1

-Using a graphing calculator, (the one they give you on Edgenuity) graph the new function and look for where the graph is below the x axis. (y is less than 0)

Looking at the graph, we see that when x is greater than 0, (you can't sell a negative amount of bouquets) y is greater than 0 up until x = 4.579. After 4.579, the y values become negative. (what we want to be looking at according to the inequality.)

You can't sell 4.579 bouquets, and even if you could, you'd be breaking even, with y=0. The answer isn't 4, because according to the graph and inequality, y would be greater than 0 (making the inequality false). Because of this, we have to find the next whole positive number that would make the inequality true, and that is 5.

3) Which choice is a
multiple of 9?
A. 150
B. 138
C. 180
D. 114

Answers

Answer:

C. 180

Step-by-step explanation:

180/9 = 20

Answer:

Step-by-step explanation:

180  is a choice of multiple 9

180/9 = 20

answer is b

Solve the following equation: 3x+2=2x-6

Answers

Answer:x=-8

Step-by-step explanation:

3x + 2 = 2x - 6
1x = -8
(Combine like terms)
x = -8

As part of a social experiment, Joey sent an email to 2 friends. The email asks the person reading it to forward it to 3 people. The table shows the distribution of the email, assuming that everyone who recelves the email forwards it to 3 new people. Number of iterations Number of People Recelving the Email.​

Answers

Answer:

I can not see the table, so i will answer this in a general way.

Ok, let's see a rough image of what is happening.

First, Joey sends the email to 2 friends.

So first, 2 people have the email

Then each friend sends the email to 3 new people.

So now the number of people that has the email is:

2 + 2*3 = 2 + 6.

Now, the 6 new people that received the email send it to other 3 new people each, so now the number of people that got the email is:

2 + 6 + 6*3

and so on.

We already can see the pattern here, we can write this as:

∑aₙ

Where aₙ = 3*aₙ₋₁

and a₀ = 2.

So with that information, we can find the number of iterations, n, for a given number of people that received the email A.

A = ∑aₙ = (a₀ + a₁ + a₂ + ....) = (2 + 2*3 + 2*3*3 + ...)

Answer: The answer is C

HELP. LOOK AT THE PICTURE

Answers

Answer:

B

Step-by-step explanation:

Since the person used >200 kWh that month, you would use the bottom equation: 0.15(x-200)+20.

(BTW, the x>200 or x≤200 means if they used more or less than/equal to 200 hours)

From there, you can plug in the number of hours for x, which is 400. So, 0.15([400]-200)+20

0.15(200)+20

30+20

50

The bill for a person that uses 400 KWh is $50.

Option B is the correct answer.

We have,

The number of kilowatts is more than 200.

So,

From the piecewise function choose the function for x > 200.

i.e

b(x) = 0.15 (x - 200) + 20

This is used to calculate the bill.

Now,

Substitute x = 400 KWh in b(x).

b(x) = 0.15 (x - 200) + 20

Simplify the expression.

= 0.15 (400 - 200) + 20

= 0.15 x 200 + 20

= 30 + 20

Add the values.

= 50

Thus,

The bill for a person that uses 400 KWh is $50.

Learn more about functions here:

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Jasmine is thinking about buying a car and is comparing two vehicles. One gets 13 miles to the gallon (mpg) and the other agents 26 miles to the gallon. Assuming that she drives 5,000 miles a year, how much money would she save by buying the more fuel efficient car if gas is $3 a gallon?

Answers

Answer:

$576.93

Step-by-step explanation:

Car A

13 miles to the gallon (mpg)

13 miles = 1 gallon

Car B

26 miles to the gallon

26 miles = 1 gallon

Car B is more fuel efficient than car A

1 gallon = $3

Assuming that she drives 5,000 miles a year

Cost of buying Car A

5000 miles / 13 miles × $3

= 384.62 × 3

= $1,153.86

Cost of buying car B

5000 miles / 26 miles × $3

= 192.31 × 3

= $576.93

Car A - car B

= $1,153.86 - $576.93

= $576.93

Jasmine will save $576.93 by buying the more fuel efficient car if gas is $3 per gallon

Question 1
Which of the following equations represents a linear function? Select three that apply.
A
y = 0.5(x + 2)
B
y =
2x2 – 3
с
2
y =
32
X + 67
D
y = 52
E
xy =
4
1
Please help

Answers

Answer: A, B, and C

Step-by-step explanation:

A, B, and C are the only 3 that are liner functions

Help pleaseeeeeeeeeeeeee

Answers

Answer:

the first one is D

Step-by-step explanation:

I hope this helps

A storage unit has the dimensions shown. What number of
12ft x 12ft x 12ft cardboard boxes would it take to completely
fill this storage unit?
6 ft
7+ A
44 ft

Answers

Answer:

the number of boxes that would take fill

the storage completely is 60 boxes.

Step-by-step explanation:

given:

A storage unit has the dimensions 6 ft. x 7 1/2 ft. x 4 1/2 ft.

find:

What number of

1 1/2 ft. x 1 1/2 ft. x 1 1/2 ft. cardboard boxes would it take to completely

fill this storage unit?

Volume of a storage unit = 6 x 7.5 x 4.5

Volume of a storage unit = 202.5  ft³

Volume of a cardboard box = 1.5 x 1.5 x 1.5

Volume of a cardboard box = 3.38 ft³

to get the number of cardboard boxes to fill in the storage unit,

Number of boxes =     202.5 ft³    

                                     3.38 ft³

Number of boxes = 60

therefore,

the number of boxes that would take fill the storage completely is 60 boxes.

IS 0.32 x 102 WRITTEN IN SCIENTIFIC NOTATION? JUSTIFY YOUR ANSWER.

Answers

3.264 x 10^1 hope this helps :)

if LM=3x-9 and MN=x+1, find LN

Answers

Answer:

LN=12

Step-by-step explanation:

3x-9=x+1 add 9 to both sides

3x=x+10 subtract 1x on both sides

2x=10 divide by 2

x=5

3(5)=15-9=6

5+1=6

6+6=12

four times the sum of a number and ten is 60. find the number.

Answer choices:

A. 4
B. 5
C. 6
D. 7​

Answers

Answer:

              B. 5

Step-by-step explanation:

x      - the number

x + 10   - the sum of the number and ten

4×(x + 10)    - four times the sum of the number and ten

4×(x + 10) = 60

          ÷4         ÷4

   x + 10 = 15

      -10       -10

     x = 5

(-x^2-x)+(6x^2+6x-7)=

Answers

Answer:

5x² + 5x - 7

Step-by-step explanation:

Step 1: Write equation

(-x² - x) + (6x² + 6x - 7)

Step 2: Combine like terms (x²)

5x² - x + 6x - 7

Step 3: Combine like terms (x)

5x² + 5x - 7

Answer:

Step-by-step explanation:

6x^2 + 6x - 7 - x^2 - x

5x^2  + 5x - 7

what is a repeating decimal

Answers

Answer:

A decimal fraction in which a figure or group of figures is repeated indefinitely, as in 0.666

Step-by-step explanation:

Answer:

A repeating decimal is a decimal fraction in which a figure or group of figures is repeated indefinitely, such as 0.888 or such as 1.734734734

Write 0.54 as a fraction in simplest form.

Answers

The answer is 14.25/25
Hey! 0.54 as a fraction is 27/50. Yes, 27/50 is the simplest form.

x^2+16=10x factor it NEED IT ASAP

Answers

the solutions would be x=8 and x=2

Complete the table. Write in the correct units that correspond with the letters in the table. A: B: C:

Answers

Answer:

A: Gallon

B: Kilogram / Kilogramme

C: Meter / Metre

Step-by-step explanation:

I know these already

Answer:

A: Quart

B: Gram

C: Meter

Step-by-step explanation:

I had this question on a test and I got it right with theese answers above.

Which expression is represented by the number line?

Answers

Answer:

3 - 2.5 - 1

As the first right is positive 3 and the second arrow is at -2.5 and last is at negative 1

☽------------❀-------------☾

Hi there!

~

I think it's (C) [tex]3 - 25 - 1[/tex]

❀Hope this helped you!❀

☽------------❀-------------☾

What is the solution to this equation? 4x+5=2x−3 Enter your answer in the box. x =

Answers

4x + 5=2x-3

4x-2x=-5-3

2x=-8

X=-8/2

X=-4

Answer:

-4

Step-by-step explanation:

took the test

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