this afternoon,sara noticed that the number of the page assigned for homework is divisble by both 12 and 2.what is the smallest possible page number tha
t could have been assigned

Answers

Answer 1
If the number of pages assigned is divisible by both 12 and 2, then we can conclude that the minimum number of pages assigned cannot be less that 12 since any number less than 12 is not divisible by 12.

The answer is 12.
Answer 2

Answer:

The smallest possible page number that would have been assigned is 12.

Step-by-step explanation:

Number of pages assigned for homework = x

The 'x' is the number which divisible by both 2 and 12.

2 = 1 × 2 (prime number)

12 =  1 × 2 × 2 × 3 (Composite number)

The smallest possible page number that could have been assigned will be equal to lowest common multiple of 1, 1, 2, 2 and 3.

X = 1 × 1 × 2 × 2 × 3 = 12


Related Questions

Solve the inequality, -4 less than 4(6y-12)-2y

Answers

-4 < 4(6y - 12) - 2y

Distributive property.

-4 < 24y - 48 - 2y

Combine like terms.

-4 < 22y - 48

Add 48 to both sides.

44 < 22y

Divide both sides by 22.

2 < y

The value of y is greater than the value of 2.

Answer:

y<2 i got it right on my test

Step-by-step explanation:

Hasan has 18 3/4 yards of fabric. it takes 3 1/6 yards to make a pillowcase. hasan plans to amke as many pillowcases as he can. how many yards of fabric will be left over?

Answers

Final answer:

To make as many pillowcases as Hasan can with 18 3/4 yards of fabric, we divide the total amount of fabric by the amount needed for one pillowcase and then find the remainder.

Explanation:

To find out how many pillowcases Hasan can make, we need to divide the total amount of fabric he has (18 3/4 yards) by the amount of fabric needed to make one pillowcase (3 1/6 yards).

First, let's convert 18 3/4 yards to an improper fraction: 18 3/4 = 75/4.

Next, let's convert 3 1/6 yards to an improper fraction: 3 1/6 = 19/6.

Now, we can divide 75/4 by 19/6 using the division of fractions:  (75/4) ÷ (19/6) = (75/4) x (6/19) = 450/76 = 75/19.

So Hasan can make 75/19 pillowcases. To find out how many yards of fabric will be left over, we need to subtract the amount used for the pillowcases from the total amount of fabric. Let's multiply the number of pillowcases (75/19) by the amount of fabric used per pillowcase (3 1/6 yards): (75/19) x (19/6) = 75/6 = 12 3/6 yards.

Therefore, Hasan will have 12 3/6 yards of fabric left over.

Please help..
Find (4.8 x 10^6)(3.6 x 10^3) / (2 x 10^5) ,
expressed in scientific notation.


A) 8.64 x 10^4

B) 8.64 x 10^6

C) 8.64 x 10^8

D) 17.28 x 10^4

Answers

Answer:

A) 8.64 x 10^4

Step-by-step explanation:

4.8 * 3.6 / 2 = 8.64

10^6 * 10^3 / 10^5 = 10^(6 + 3 - 5) = 10^4

Answer: 8.64 * 10^4

Answer by JKismyhusbandbae:

[tex]\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=4.8\cdot \:10^6\cdot \frac{3.6\cdot \:10^3}{2\cdot \:10^5}\\\frac{3.6\cdot \:10^3}{2\cdot \:10^5}=\frac{3.6}{10^2\cdot \:2}\\=10^6\cdot \:4.8\cdot \frac{3.6}{10^2\cdot \:2}\\\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}\\=4.8\cdot \frac{10^6\cdot \:3.6}{10^2\cdot \:2}\\\frac{3.6\cdot \:10^6}{2\cdot \:10^2}=1800\\=18000\cdot \:4.8\\\mathrm{Multiply\:the\:numbers:}\:4.8\cdot \:18000=86400\\=86400[/tex]

Explanation: Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer is: A) 8.64 x 10^4

Different ways to count from 580 -994

Answers

By 10s, 100s, 5s, 15s, 20s, 30s,

You can use subtraction to figure out how many numbers there are from one endpoint to another. For example, in the set {1,2,3,4,5} we see 5 values. Subtract the large endpoint from the smaller and we get 5-1 = 4, then add 1 back on to get 4+1 = 5. The formula is a-b+1 where a > b.

Here's another example: {8,9,10}. Clearly we see 3 values. Using the subtraction rule mentioned above, we get a-b+1 = 10-8+1 = 2+1 = 3. This method is preferred if you have a tons of values you don't want to count out one at a time.

Such as this example {580, 581, ...., 993, 994}. We have a-b+1 = 994-580+1 = 415 meaning there are 415 items in the set {580, 581, ..., 993, 994}

one cantaloupe cost $2 how many cantaloupes can you buy for $6

Answers

3 because 6 divided by 2 equals 3

aniel is 16 years old. His age is twice his brother's age, which is represented by x. Write and solve an equation to determine the age of Daniel's brother. we

Answers

Write an equation.

16=2x

x=8

Daniel's brother is 8 years old.

Using the concept of proportional relationship, the age of Daniel's brother is 8 years

Given the Parameters :

Brother's age = x

Daniel's age = 16

Daniel's age = 2 × brother's age

Hence,

16 = 2 * x

16 = 2x

Divide both side by 2

x = 16/2

x = 8

Hence, the brother's age is 8

Learn more : https://brainly.com/question/7390205

HELP ASAP PLEASE!



10 points for the answer !

Answers

399 because k^2 is 81 and multiply that by 5, you get 405 and subtract 6 to get 399


Answer,

So, basicly they are asking you to imput, "9" for where the letter "K" is.

Let's do that,

5 * 9^2 - 6

Now we will simplify 9^2,

9 x 9 = 81

Simplify,

5 x 81 = 405

Now, subtract

405 - 6 = 399



Which of the following is a liability? a. bonus paycheck b. credit card balance c. investment fund d. savings account Please select the best answer from the choices provided

Answers

Answer:

Option b) A credit card balance

Step-by-step explanation:

The credit card balance shows the amount you owe to the bank for purchases using credit card.

Credit card is meant for purchases without paying money actualy and after a fixed period paying to the bank full amount outstanding.

Periodically, all credit card transactions will be listed and sent to the customer with a due date within which the amount is to be paid.

IF amount is not paid within due date, a penalty will be charged besides interest for the delay.

Thus credit card balance is a liability since it is the amount due or amount outstanding to be paid to the bank within a certain period.  This can be treated as current liability

Answer:

The answer is B

Step-by-step explanation:

I just took the test and got 100%

19. Which of the following is the correct Ohm's law formula used to find resistance? A. R = I/E B. R = E/I C. R = PI D. R = EI

Answers

Answer:

Ohm's Law is E = I*R; the version needed to find resistance is R = E / I  (answer B)

Step-by-step explanation:


For this case we want to apply Ohm's Law to find resistance.

By definition, Ohm's Law states that:

[tex]E = I * R\\[/tex]

Where:

E: Voltage

I: Current

R: Resistance

Clearing the Resistance we have to:

[tex]R = \frac{E}{I}\\[/tex]

Answer:

The Resistance is given by: [tex]R = \frac{E}{I}\\[/tex]

Option B

Solve the following systems of equations algebraically. Verify your solution either graphically or by using matrices.
3x - y=0
5x + 2y=22

Answers

3x - y=0

5x + 2y=22

Solve the first equation for y

3x - y =0

-y = -3x

so y = 3x

Now plug in y=3x in second equation

5x + 2y=22

5x + 2(3x) =22

5x + 6x = 22

11x = 22

Divide by 11 on both sides

x= 2

Plug in 2  for x and find out y

y = 3x

y = 3(2) = 6

Solution is (2,6)

The graph is attached below to verify the solution

Both lines intersects at (2,6)

so our answer is correct.


Hello! This is really easy! (For some people anyway)

Answers

the answer is the last one.

2nd one. She should've multiplied before subtracting

Please Use the factor theorem to determine whether v + 5 is a factor of v^4 + 16v^3 + 18v^2 -725

A. Yes
B. No

Answers

Yes cause it would Eaqul out easily

Substituting [tex]\( v = -5 \)[/tex] into the polynomial yields -650, not zero. Thus, [tex]\( v + 5 \)[/tex] is not a factor. Answer: B. No.

To determine whether [tex]\( v + 5 \)[/tex] is a factor of [tex]\( v^4 + 16v^3 + 18v^2 - 725 \)[/tex], we can use the Factor Theorem. According to the Factor Theorem, if [tex]\( v + 5 \)[/tex] is a factor of the polynomial, then [tex]\( v = -5 \)[/tex] must be a root (or zero) of the polynomial.

Step 1: Substitute [tex]\( v = -5 \)[/tex] into the polynomial.

[tex]\[ (-5)^4 + 16(-5)^3 + 18(-5)^2 - 725 \][/tex]

Step 2: Calculate the value.

[tex]\[ 625 - 2000 + 450 - 725 \][/tex]

[tex]\[ = -650 \][/tex]

Since the value is not zero, [tex]\( v + 5 \)[/tex] is not a factor of [tex]\( v^4 + 16v^3 + 18v^2 - 725 \).[/tex]

So, the correct answer is:

B. No

15 POINTS PLEASE HELP as soon as ya'll can thanks so much!

Answers

-0.4 im pretty sure. Hope this helps

Hey there!

Answer :-

The answer is -0.4

Step-by-step explanation :-

... 2k + 9 = 7 - 3k

... 5k + 9 = 7

... 5k = -2

... k = -2/5

... k = -0.4

Hope my answer helps!!

plzzzzzzzzzzzzzzz help what is 6+x÷3=13

Answers

Answer:


Step-by-step explanation:


x=21 subtract 6 from both sides.
multiply 3 to cancle divede 3.
13-6=7.
7×3=21
21=x

How many baseballs equal one pineapple?

Answers

Let a be an apple, b be a baseball, p be a pineapple and s be a shoe.

Then, from the balance, we model these equations:

p + b = s     ----- (1)

2s = 4a

Divide both sides by 2.

s = 2a

Substitute in (1), we get,

p + b = 2a   ----- (2)

Also,

p = a + b   -----  (3)

Substitute the above in (2), we get,

(a + b) + b = 2a

a + 2b = 2a

Subtract a from both sides.

a = 2b

Substitute in (3), we get,

p = 2b + b = 3b

Hence, 3 baseballs equal one pineapple.

My past due bill is $585.00, and I just made payment arrangements for the next 3 months to keep my account from being suspended. My normal monthly bill is $50.00 per month. How much will I need to pay each month? To satisfy your monthly arrangements and your current monthly bill you will need to pay __________ each month for the next 3 months

Answers

$50.00 monthly +195.00 along monthly bill

585÷3 +50.00 so 245.00 month give for 3 months

Answer:

$245

Step-by-step explanation:

His past due bill is 585 and he his made arrangements to pay in three months, to get how much he is to pay per month= 585/3= 195

Normal monthly bill=50

To satisfy the monthly arrangements and current monthly bill, he will need to pay= 195 +50 = $245 each month for the next 3 months.

Order the numbers from least to greatest. −34, 0.5, 23,−73, 1.2 The order of the numbers from least to greatest

Answers

The correct answer-73,-34,0.5,1.2,23.

-The Numbers Ordered From Least To Greatest-

-73     -34     0.5     1.2     23

The closer the numbers are to zero, the bigger they will be

The farther away the numbers are from zero, the smaller they will be

help me!!!!!!!!!!!!!!!!!!!!!!!!

Answers

step 2 a negative times a positive is a negative so the answer is -75.6

The error is in Step 3 as you are dividing a negative number by a positive number so the answer should be negative. In this case, the answer is somehow positive so, Step 3 is wrong. Hope I could help!

A mile is 1760 yards. How many miles does Stacy walk each week? She walked 4680 yards.

Answers

Answer:

2.66 miles

Step-by-step explanation:

Divide the number of yards by 1760 to find the number of miles.

4680/1760 = 2.6590909...

Answer: 2.66 miles

Which expression represents the word phrase 6 decreased by one-third of a number? a. 6+13−x b. 6+13+x c. 13⋅x−6 d. 6−13⋅x

Answers

the answer is D but it is written
[tex]6 - \frac{1}{3} x[/tex]
The word decreased means to subtract but as the expression states 1/3 of a number, 6 is subtracted by 1/3 times whatever number X represents.

The expression that represents the word phrase 6 decreased by one-third of a number is D. 6 - 1/3x

Based on the information given, we have to subtract (1/3 × x) from 6. This will be:

= 6 - (1/3 × x)

= 6 - (1/3x)

= 6 - 1/3x

Therefore, the expression represents the word phrase 6 decreased by one-third of a number is D. 6 - 1/3x

In conclusion, based on the above calculations, it can be inferred that the correct option is D.

Read related link on:

https://brainly.com/question/1323832

Substitution method

3x - 4y = 18
2x + y = 1

Answers

There are 3 pictures of the steps.

x = 2

y = -3

FIRST ONE TO ANSWER GETS A BRAINLY!!! PLEASE HELP!!!



The table shows the relationship between the cost of a t-shirt to a store and the retail price that the store charges for t-shirts after a markup

a. Is the relationship propotional. Explain how you know.

b. Write and equation that represents the relationship.

c. Predict the retail price that the store will charge for a t-shirt that cost the store 9.50. Justify your reasoning.

Table:

Cost($), x Retail Price ($), y
6.00 7.50
7.00 8.75
8.00 10.00
9.00 11.25

Answers

Answer:

Step-by-step explanation:

8.00 to 10.00 yes the relationship is proportional because it is the eniquality between two ratios 8.00 and 10.00

Final answer:

This detailed answer explains the proportional relationship between the cost and retail price of t-shirts in the given data table, provides the equation representing the relationship, and predicts the retail price for a t-shirt costing the store $9.50.

Explanation:

a. Is the relationship proportional? Yes, the relationship is proportional because the ratio between the cost and the retail price remains constant. This can be seen by calculating the cost-to-price ratios for each pair of values. If the ratios are the same, the relationship is proportional.

b. Write an equation that represents the relationship: The equation for the relationship is y = 1.25x + 0.75 where y represents the retail price and x represents the cost to the store.

c. Predict the retail price for a t-shirt that cost the store $9.50: Substituting $9.50 for x in the equation gives us a predicted retail price of $11.88. The store is likely to charge $11.88 for a t-shirt that cost them $9.50.

order the following numbers from least to greatest 9%,1/12,17%,1/25

Answers

1/25, 1/12, 9%, 17%. This would be your answer.

John had 245.000€ in his current account before he invested two-fifths of the money in an insurance company. How much did he invest? How much is left in the account?

Answers

Answer:

He invested 40% of his money, 245 * 40% = 98.

245 - 98 = 147.

He invested 98€ and he has 147€ remaining.

If this helps leave a thanks.

the perimeter of a square with sides of length 3x

Answers

Answer:

The answer would be 12x

Step-by-step explanation:

You have to add all the sides together because its a square and all sides are equal. So 3x+3x+3x+3x equals 12x

What is the solution to the system of linear equations?
(–3, 0)
(–3, 3)
(0, 2)
(3, 1)

Answers

(0,2) Usually it is where they intersect on the graph. Hope this helps!

Answer: (0, 2)

Step-by-step explanation:

On Cartesian plane, when two lines drawn by using system of linear equations are intersect at a point , then that point is known as the solution of the system of the two linear equations .

In the given graph , the two lines are intersecting at (0,2) then the solution of the system of linear equations.

Hence, the solution to the system of linear equations = (0,2).

Segments
AB
and
CD
intersect (see picture to the right). Prove that if segments
AC
,
CB
,
BD
and
AD
are congruent, then ray
AB
is the bisector of ∠CAD and ray
CD
is the bisector of ∠ACB. Prove that segments
AB
and
CD
are perpendicular.

Answers

Given

AB  and  CD  intersect

AC,  CB,  BD  and  AD  are congruent.

Prove that AB  is the bisector of ∠CAD and ray  CD  is the bisector of ∠ACB.

and AB  and  CD  are perpendicular.

To proof

Bisector

A bisector is that which cut an angle in two equal parts.

In ΔACB and ΔADB

AD = AC  ( Given )

AB = AB   ( common )

BC = DB  ( Given )

by SSS congurence property

we have

ΔACB ≅ΔADB

∠CAB =∠ DAB

∠CBA = ∠DBA

( By corresponding sides of the congurent triangle )

Thus AB is the bisector of the ∠CAD.

InΔ DAC and ΔDBC

AD = DB (Given)

AC = CB  ( Given )

CD = CD (common)

By SSS congurence property

ΔDAC≅ Δ DBC

∠  ACD =∠ BCD

∠ADC =∠BDC

( By corresponding sides of the congurent triangle )

Therefore CD is the bisector of the CAD.

In ΔBOC andΔ BOD

BO = BO ( Common )

∠BCO = ∠BDO

( As prove above ΔACB ≅ΔADB

Thus ∠ACB = ∠ADB by corresponding sides of the congurent triangle , CD is a bisector

∠BCO = ∠BDO )

 CB = DB ( given )

by SAS congurence property

ΔBOC ≅ ΔBOD

∠BOC =∠ BOD

∠BOC +∠ BOD = 180 °( Linear pair )

2∠ BOC = 180°

∠BOC = 90°

∠BOC =∠ BOD = 90°

also

In ΔCOA and ΔAOD

AO = AO ( Common )

∠ACO =∠ ADO

(  As prove above ΔACB ≅ΔADB Thus ACB = ADB by corresponding sides of congurent triangle ,CD is a bisector

thus  ∠ACO = ∠ADO )

AC =AD ( given )

by SAS congurence property

Δ COA ≅ ΔAOD

∠AOC = ∠AOD

( By corresponding angle of corresponding sides )

∠AOC + ∠AOD = 180°

2∠ AOC = 180°   ( Linear pair )

∠AOC = 90°

∠AOC = ∠AOD = 90 °

Thus AB  and  CD  are perpendicular.

Hence proved









   


 



write 4.32 in word form

Answers

Four and thirty two hundreths. I think! Hope i helped!

four point thirdly two

Eli has 7 games on his phone. His sister has 6 more than him. Which ratio compares the number of games on Eli’s phone to the number of games on his sister’s phone?

Answers

13 : 7
(as eli has seven
and his dister has 6 more therefore 6+7 =13)

so this must be the correct answer

hope it will help you

Wayne has 6 times the number of songs on an MP3 player as his mom.If wayne has 1800 songs ,what equation could you write to find the number of songs.his mom has on her MP3 player.

Answers

Answer:

1,800/6

Step-by-step explanation:

if he has 6 times more songs than his mum & he has 1,800 in total his mum has 1/6 of 1,800 e.g. 1,800/6

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