Mathematics High School

Hannah factored the expression 24xy + 15y. Her work is shown below.



1. GCF (24xy, 15y) = 3y

2. 24xy/3 = 8xy, 15y/3 = 5y

3. 3(24xy + 15y)

What are the errors in Hannah’s work? Check all that apply.
She divided by 3 instead of the GCF.
She found the wrong GCF.
She divided wrongly.
She didn’t complete step 4 and use the distributive property to be sure the expressions are equivalent.
She didn’t undistribute the GCF from the original expression.

Answers

Answer 1

Answer:

The correct answers for the multiple choice question are:

Option 1 (or A): She divided by 3 instead of the GCF.

Option 4 (or D): She didn’t complete step 4 and use the distributive property to be sure the expressions are equivalent.

Option 5 (or E): She didn’t undistribute the GCF from the original expression.

Step-by-step explanation:

I got it correct on Edge.

Answer 2

The errors in Hannah’s work are she divided by 3 instead of the GCF and she didn’t undistributed the GCF from the original expression.

The given expression is 24xy+15y.

Here, the factors of 24xy are

24xy = 2×2×2×3×x×y

15y = 3×5×y

So, common factors from both the terms is 3y.

Now, divide and multiply the given expression by 3y.

3y(24xy/3y + 15y/3y)

= 3y(8x+5)

Therefore, the errors in Hannah’s work are she divided by 3 instead of the GCF and she didn’t undistributed the GCF from the original expression.

To learn more about the factorisation of polynomial visit:

https://brainly.com/question/16789195.

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Related Questions

PLEASE HURRY WILL GIVE BRAINLIST ​

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Answer:

140 degrees

Step-by-step explanation:

40 degrees...........

cylinder has r = h and the radius is 4 cm. What is the volume?

Answers

Answer:

201.06 cm

Step-by-step explanation:

so if the radius and height is the same, height would be 4 cm.

volume formula for a cylinder: V=πr2h

answer: 201.06

Rewrite the following equation in slope-intercept form.
14x + 20y = -15

Answers

y = -7/10x - 3/4

Steps on paper

pls help i only need the answers

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may i ask what the multiple questions say in the boxes?

- muffin

f(x) = -x^2 + 8x
find f(-7)

Answers

Answer:

105

Step-by-step explanation:

The price of a loaf of a particular type of bread increased from $3.69 to $5.49 from 2009 to 2019. What was the percent increase in the price of the loaf of bread over those years? Round your answer to the nearest tenth of a percent.

Answers

Answers:

A) 51.3%

B) 55.9%

C) 32.8%

D) 48.8%

Step-by-step explanation:

Answer:

48.8%

Step-by-step explanation:

Find the product.

(-2x 2)3 ·3x

Answers

Answer:

-15x

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

A pretzel recipe calls for 3.325
cups of flour. If the recipe makes
9.5 pretzels, how many cups of
flour are need for each pretzel?

Answers

Answer: 0.35

Step-by-step explanation:

3.325 divided by 9.5 = 0.35

Name the angle that is supplementary to< COB PLease help me if you do I will give you brainly!!!

Answers

Answer:

<BOF is the right answer.

Step-by-step explanation:

The other ones only give one side and you need it to be the whole angle.

Determine whether quadrilateral ABCD with vertices A(–4, –5), B(–3, 0), C(0, 2), and D(5, 1) is a trapezoid.

Step 1: Find the slope of AB. The slope of AB is
.
Step 2: Find the slope of DC. The slope of DC is
.
Step 3: Find the slope of BC. The slope of BC is
.
Step 4: Find the slope of AD. The slope AD is
.
The quadrilateral is a trapezoid because
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Answers

Answer:

5-1/52/32/3Only one pair of opposite sides are parallel

Eloise walked in a Walk for the Homeless. She was pledged $1 per mile
by her aunt, and $2 per mile by her father. She walked the entire
course, and collected $63. How long was the course? _____

Answers

Answer:

1.35 is the cost of the regular ice cream

Step-by-step explanation:

I belive it’s 1.35 if I may say so

For each ordered pair , determine wether it is a solution to y=6x+5

Answers

Answer:

1. no

2. no

3. no

4. yes

Step-by-step explanation:

Jon swam 50 meters freestyle in a competition. How many kilometers did Jon swim?

Answers

Answer:

.05 kilometers

Step-by-step explanation:

One kilometer is 1000x more than a single meter. And [tex]50 \div 1000 = .05[/tex].

yo hiii, please help me out

Answers

Step-by-step explanation:

option B , x = 6 is the correct answer of this question .

Hope this will be helpful to you plz mark my answer as brainlist ..

Answer:

b. x = 6

Step-by-step explanation:

Solve for x :

10(x + 2) - 15 = 65

To solve this we need to isolate x :

Distribute the ten to both numbers within the parenthesis :

(10(x) + 10(2)) - 15 = 65

10x + 20 - 15 = 65

Order of operations :

10x + 5 = 65

Subtract 5 from both sides :

10x = 60

Divide 10 by both sides :

x = 6

given: m is between A and B

Answers

Answer:

huh .......................

Step-by-step explanation:

like this A <M <B

A

God bless

;)
Pls I am correct

Somebody who know they math,help me!!!!!

Answers

Answer:-5 to -10 to 10 to 1

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Simplify 8x + 3y - x - 2y​

Answers

Answer:

7 +

Step-by-step explanation:

Answer: 7x+y

Explanation: Collect like terms

7x+3y-2y

2b-(3-b) + 4 = 11
I need to know how to show the work to get this answer

Answers

Answer:

10/3

Step-by-step explanation:

Simplifying 2b - (3-b) gives us:

2b - (3 - b) =

2b - 3 + b =

3b - 3

This makes our new equation:

3b - 3 + 4 = 11

Combine like terms

3b + 1 = 11

Subtract 1 from both sides

3b = 10

Divide both sides by 3

b = 10/3

Solve for y.




108°

115°

130°

90°

Answers

Answer:

y = 115

Step-by-step explanation:

5 angles should total to 540°.

135+112+88+90+y= 540

425+y=540

y = 115

Answer: your answer is B. 115

Step-by-step explanation: I just took the test

Round 1.0835 to the nearest hundredth

Answers

Answer:

1.1

Step-by-step explanation:

The decimal number 1.0835 rounded to nearest hundredth is 1.08.

What is rounding off of numbers?

We round off numbers to make them easier to remember and it also keeps its value approximately to the place it has been rounded off.

To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.

Given, 1.0835 to round it to the nearest hundredth we'll look to the digit at thousands place which is less than 5 so we can make all the digits zero after the hundredth digit which is 1.0800 Or 1.08.

learn more about rounding off of numbers here :

https://brainly.com/question/1285194

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PLEASE HURRY AND HELP!

Answers

Answer:

p= (-4)

Step-by-step explanation:

The answer is b

-1/2 p + -1 = -3 - p

-1/2 p -1 = -3 - p

            +1  +1

_______________

-1/2 p = -2 -p

+p              +p

______________

-p/2 =-2

x2       x

____________

p =-4

It should be p = - 4

how can a 5 inch rectangle get to the 4 inch side of the rectangle.

Answers

Step-by-step explanation:

If your rectangle has length of 5 inch and width of 4 inch then you can convert 5 inch into 4 inch by rotating it through 90° clockwise or anticlockwise.

please dont scam me with my points. i really need the answer to this,

Answers

The answer would be A

please help meee ;(((

Answers

Answer:

C. No Solution

Step-by-step explanation:

x=3-y

x+y=-2

3-y+y=-2

Y=No solution

Missing measurements in each triangle

Answers

Answer:

50

Step-by-step explanation:

107+23= 130

180-130= 50

You're welcome :P

50 because 107+23=130
180-130=50

Every week, Fred deposits $84 into his savings account, which is 20% of his weekly income. How much income does Fred make each week?

Answers

Answer:

Fred's monthly income is $420.

Step-by-step explanation:

There are two main ways of solving this. There are many ways of solving for this, but personally I like to do divide the percentage by 100 so it would look something like this-

100/20 = 5.

Then I multiply $84 by 5 which is $420.

Answer:

ze answer is 420 since 84 is 20% of 100 and 20 x 5 - 100 so,84 x 5 = 420

Step-by-step explanation:

das ze anser®

Solve for x
5x-1= 2x+5

Answers

5x = 2x + 5 + 1

5x = 2x + 6

5x - 2x = 6

3x = 6

x = 6/3

x=2

5x-1=2x+5
5x-2x=1+5
3x=6
x=2

Can you show work for 5.8/4, the answer is 1.45 I just need the work.

Answers

Answer:

voila

Step-by-step explanation:

Can anybody help me with this ?

Answers

Answer:

1st scenario: 163.3°

2nd scenario: 125.2°

3rd scenario: 142.3°

Step-by-step explanation:

1st scenario: angles 1 and 2 form a linear pair and add up to 180

2nd scenario: angles 1 and 4 are same-side interior and add up to 180

3rd scenario: angles 1 and 8 are corresponding and equal; if angle 7 is 37.7 then angle 8 is 142.3 (they form a linear pair). Since angles 1 and 8 are equal then angle 1 is also 142.3

Consider the sequence shown.

436, 218, 109, 54.5, 27.25,...



Select the correct explicit formula for the sequence.

a
g_n=0.5·436^{(n-1)}

b
g_n=436·2^{(n-1)}

c
g_n=436·0.5^{(n-1)}

d
g_n=2·436^{(n-1)}

Answers

Given:

The sequence is

436, 218, 109, 54.5, 27.25,...

To find:

The explicit formula for the given sequence.

Solution:

We have,

436, 218, 109, 54.5, 27.25,...

It is a GP because the two consecutive terms have common ratio.

Here,

First term : a=436

Common ratio : d = [tex]\dfrac{218}{436}[/tex]

                             = [tex]\dfrac{1}{2}[/tex]

                             = [tex]0.5[/tex]

Now, the explicit formula for a GP is

[tex]g_n=ar^{(n-1)}[/tex]

Where, a is the first term and r is the common ratio.

Putting a=436 and r=0.5, we get

[tex]g_n=436(0.5)^{(n-1)}[/tex]

Therefore, the correct option is c.

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