Directions: Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers.
In class, pairs of students were given numbers to work with. In each pair, one student found the greatest common factor and the
other student found the least common multiple.
Jess and Nate were given the numbers 8 and 12.
• Jess found that the greatest common factor is 4.
• Nate found that the least common multiple is 48.
One of these students made a mistake.
Which student made a mistake?
What number should the student have found instead?

Answers

Answer 1

Answer:

Nate made a mistake. The LCM is actually 24.

Step-by-step explanation:

So, Jess found the GCF of 8 and 12 is 4. Let's make sure first.

Method 1: List the factors of 8 and 12.

8: 1, 2, 4, 8

12: 1, 2, 3, 4, 6, 12

Method 2: Or find the prime factorization of 8 and 12

8: 2 * 2 * 2

12: 2 * 2 * 3

Both 8 and 12 share 2 2's.

Multiply 2 by 2 to get 4 as the GCF

4 is the greatest factor 8 and 12 share, so Jess is correct.

Nate found the LCM of 8 and 12 is 48. Let's make sure that's correct.

Method 1: List the multiples of 8 and 12.

8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96

12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144

24 is the smallest number 8 and 12 have in common.

Method 2: Union of Primes

8: 2 * 2 * 2

12 : 2 * 2 * 3

Create a union of these primes.

Union: 2 * 2 * 2 * 3

4 * 2 * 3

8 * 3

24 = LCM

The LCM of 8 and 12 is 24, not 48, so Nate is incorrect. Thus, Nate made the mistake.


Related Questions

IM RUSHING THIS IS A TEST. SOMEONE DO THIS PLEASE. - GIVING BRAINLIEST

Answers

Answer:

Gum is 6 Q 1 D 1 N Raspberries is 12 Q 1 N 1 D

Step-by-step explanation:

(-1/4x-2/3)-(1/2x+1/6) show work no troll answers mark brainlest.

Answers

Answer:

if you want it in standard form it would be −1/4x-1/2x-5/6

If you want it simplified it would be -3x/4-5/6

Step-by-step explanation:

(This is the best you'll get for 5 points)

I solved it on that screenshot I put it has it with all the work

Kelley opens a bank account to save for a down payment on a car. Her initial deposit is $250 and she
plans to deposit 10% more each month. Kelly's goal is to have $2,000 in the account after six months.
How much money, in dollars and cents, will Kelley have saved after six months?

Answers

Answer: 1928.90

Step-by-step explanation:

choose all the values of a that make the following equation true= 3/4 = a/36​

Answers

Answer:

a = 27

Step-by-step explanation:

3/4 = a/36                  Cross multiply

4*a = 36*3                  Combine the right

4a = 108                     Divide by 4

4a/4 = 108/4

a = 27

Select the correct answer from each drop-down menu.
Jody bought 4 kg of baking flour. Complete the equation below to find how many grams of flour she bought.
So, Jody bought ____
g of baking flour

Answers

4000 grams of baking flour

is the change constant or not?
If so how do you know?

Answers

Answer:

No, the change is not constant

Step-by-step explanation:

PLZ MARK BRAINLIEST

I can tell because it should be a constant of burning 125 calories burning every 2 blocks which makes it not constant throughout.

Nancy divided her marbles into 7 equal piles. What
fraction of the total marbles would 2 piles be?

Answers

2/7 or 28% is the fraction of two piles

Melanie needs 5,000 chocolates for an event so far she has brought 2 cases of 1,125 chocolates each how many more does she need

Answers

Answer:

2750 chocolates

Step-by-step explanation:

Find how much she has bought already:

1,125(2)

= 2,250

Then, subtract this from 5,000

5000 - 2250

= 2750

So, she still needs 2750

Answer:

2,750

Step-by-step explanation:

2 cases of 1,125 chocolates = 2,250 chocolates

5,000 - 2,250 = 2,750 more chocolates needed

(that's also 3 cases of chocolates needed :p)

geometry retake pls help!!!

Answers

Answer:

∠D

∠EDC

∠CDE

Step-by-step explanation:

those are the only ways I can think of, I hope that helps :)

Evaluate
- 2x - 6y when x = 5, y=-3

Answers

Answer:

-28 i think

extra words so i can submit

2. 6x + 29 = 5 (1 point)
-4
-18
204
-144​

Answers

Answer:

x = -4

Step-by-step explanation:

6x + 29 = 5

     +29      -29

------------------------

6x = -24

÷6      ÷6

---------------

x = -4

6(-4) = -24 + 29 = 5

The answer is 4 , hope this helps

A population of 752,000 people decreases at a rate of 1.4% each year. To the nearest whole number , what will be the population after 18 years?

Answers

Answer:

562496

Step-by-step explanation:

I think

simplify (3x+5)(2x+3)

Answers

Answer:

5x • 8

Step-by-step explanation:

First you'd switch the numbers around so they can work together.

(3x+2x)(5+3)

Then you add them together.

5x • 8

This would be the equation simplified.

Do you practice is yoga for the same amount of time every day after he practices yoga for 18 minutes on Saturday he finished 24% of his daily yoga practice how many more minutes do you still practice yoga on Saturday

Answers

Answer:

51 minutes

Step-by-step explanation:

Let the total number of minutes required for daily yoga practice = x

Hence:

24% of x = 18 minutes

24/100 × x = 18 minutes

24x /100 = 18 minutes

Cross Multiply

24x = 100 × 18 minutes

x = 1800 minutes/24

x = 75 minutes.

The total number of minutes for daily yoga practice = 75 minutes

How many more minutes do you still practice yoga on Saturday?

This is calculated as:

75 minutes - 24 minutes

= 51 minutes

2 = 4x. And. 36/a=6
X=? A=?

Answers

X= 0.5 A= 6. Hope this helps!

Solve for y:
9x + 4y = -12
Please help!!!

Answers

Answer:

        y = -⁹/₄x - 3

Step-by-step explanation:

9x + 4y = -12       {subtract 9x from both sides}

4y = -9x - 12        {divide both sides by 4}

y = -⁹/₄x - 3


5x + 4y = 17
Y - x = 2
x =
y =




please help

Answers

I will solve this equation simultaneously by Substitution.

- x + y = 2
5x + 4y = 17

Solve - x + y = 2 for y:
- x + y + x = 2 + x (here we add x to both sides)
y = x + 2

Substitute x + 2 for y in 5x + 4y = 17
5x + 4y = 17
5x + 4(x + 2) = 17
5x + 4x + 8 = 17
9x + 8 = 17 (simplify both sides of the equation)
9x + 8 + (-8) = 17 + (-8) (add -8 to both sides)
9x = 9
9x/9 = 9/9 (divide both sides by 9)

x = 1

Substitute 1 for x in y = x + 2
y = x + 2
y = 1 + 2
y = 3 ( simplify both sides of the equation)

Therefore x = 1 and y = 3


i cant seem to understand this. please explain :))
(business math)

Answers

Answer:

$1.50 bro

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Using the chart, it shows the total amount that the retailer (the chip company) spends to make each bag of chips. We're looking at the $3 chip bag, so looking we can see that it costs the company $1.00 for each bag. If it costs $1 to make and it sells for $3, the profit is $2. This chart makes it easy because it calculates the total charts for you.

The list shows the daily low temperature, in degrees Celcius, In Shawna's hometown during one week.
-2, 4,0,–3, 6, 1,4
Choose all of the inequalities that correctly compare values from the list.
A. 4 > 2
8.0> - 2
C6>-4
0.0 <-3
E-4 <3
F-2-3
PLEASE HELP

Answers

Answer:

Option A, B, C, E are correct. Kindly verify for Option F. Option D is incorrect.

Step-by-step explanation:

The list shows the daily low temperature, in degrees Celcius, In Shawna's hometown during one week.

-2, 4,0,–3, 6, 1,4

Choose all of the inequalities that correctly compare values from the list.

Option A: 4 > 2

We know that 4 is greater than 2, so this inequality 4>2 is true.

Option B: 0 > - 2

We know that 0 is greater than -2, so this inequality 0 > -2 is true.

Option C: 6 > -4

We know that 6 is greater than -4, so this inequality 6 > -4 is true.

Option D: 0 < -3

We know that 0 is greater than -3 and not less than -3, so this inequality     0  < -3 is false.

Option E: -4 < 3

We know that -4 is less than 3, so this inequality -4 > 3 is true.

Option F: -2-3

The inequality sign is missing so, we can have either < or > sign. I am solving with both inequalities, you can consider whichever option is given to you.

So if -2 < -3

We know that -2 is greater than -3,and not less than -3 so this inequality -2 < -3 is false.

if -2 > -3

We know that -2 is greater than -3, so this inequality -2 > -3 is true.

Please check for the given statement and consider your answer.

Option A, B, C, E are correct. Kindly verify for Option F. Option D is incorrect.

What is 349 x 206? :((((((((((((

Answers

Answer:

71894 hope it help

Step-by-step explanation:

Answer:

71894

Step-by-step explanation:

a person at the keytronic world invitational type off typed 148 words per minute. how many minutes would it take to type 3552

A : 148

B: 30

C: 3552

D: 24

Answers

The answer is
D: 24
Because 148 times 24 equals 3552

Write the pair of fractions as a pair of fractions with a common denominator |


3/10 and 2/5

1/3 and 3/4


THESE TWO ONLY!

Answers

Answer:

3/10 and 2/5 = 3/10 and 4/10

1/3 and 3/4 = 4/12 and 9/12

Step-by-step explanation:

For 3/10 and 2/5

* Find the lcm (least common multiple) of the denominators which are 10 and  

 5. The multiples of 10 are: 10, 20, 30 etc and the multiples of 5 are: 5, 10 15,

 etc. So, the lcm is 10. It is the smallest multiple that the denomitaotrs share.

* Next multiply the numerators (3 and 2) by whatever number you use to

  multiply the denominator by to get 10. For 3/10, the denominator stayed the

  same, so to get 10, you need to multiply 10 by 1. Do the same for the

  numerator. 3 x 1 = 3. So, the first factor pair is 3/10.

* The second factor pair is 2/5, so we are still using the lcm of 10. So, what

  do you need to multiply 5 by to get 10? The answer is 2. Now just multiply

  the numerator (2) by 2 and you get 4. The second factor pair is now 4/10.

what is the x for : -2x^2+24x-72=0

Answers

Answer:

x=6

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

What is the correct factorization of x2+6x+8?

Answers

8x+8
8x=-8
x=-1
i’m pretty sure this is what you mean

Answer:

(x + 2)(x + 4)

Step-by-step explanation:

You find two numbers that you can add to get 6 and that you can multiply to get 8, which would be 2 and 4, so it's (x + 2)(x + 4)

please help me out 1 question bellow about angles ty

Answers

The answer is b corresponding angles are supplementary

I need help with this please ​

Answers

Answer:

Ok I'll help ya out

Here you go

Don't forget to give thanks

Which list orders from least to greatest?

Answers

Answer:

D. -2 2/3, -2.5, 1.3, 1 1/2, 3

Step-by-step explanation:

Consecutive angles in a parallelogram are supplementary. What is the value of x?

I’ll give you brainly pls I really need the answer

Answers

Step-by-step explanation:

HERE,

[tex]\angle{PQR=20+2x }[/tex] ⠀

[tex]\angle{ QRS=6x }[/tex] ⠀

we know that,

sum of consecutive angle of a parallelogram =180

so,

According to the question,

[tex]\angle{PQR}+\angle{QRS}=180[/tex] ⠀

[tex]\tt{20+2x+6x=180 }[/tex] ⠀

[tex]\tt{8x+20=180 }[/tex] ⠀

[tex]\tt{8x=180-20 }[/tex] ⠀

[tex]\tt{8x=160 }[/tex] ⠀

[tex]\tt{x=\dfrac{160}{20} }[/tex] ⠀

[tex]\tt{ x=20 }[/tex] ⠀

Plz helppp meee wallah I swear to god I will mark you as a brainliest and I will give you 20

Answers

Answer:

Step-by-step explanation:

Equation for the linear function has been given as,

y = 26 - 4x

For x = 1,

y = 26 - 4(1)

  = 26 - 4

  = 22

For x = 2,

y = 26 - 4(2)

  = 26 - 8

  = 18

For x = 3,

y = 26 - 4(3)

  = 26 - 12

  = 14

For x = 6,

y = 26 - 4(6)

  = 26 - 24

  = 2

Therefore, table for the function will be,

x               y

1              22  

2              18

3              14

6               2

15*\sqrt(72) (15 times root 72. I can't seem to enter a square root symbol)

Answers

Answer:

Step-by-step explanation:ok so if you want too  do the the root symbl on what

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