When dividing each of the numbers $$3759$$ and $$4139$$ by some positive integer number, the remainder happened to be equal to $$16$$. What is the smallest possible value of the divisor?

Answers

Answer 1

Answer:

The smallest possible value of the divisor is 19

Step-by-step explanation:

The given numbers for division are;

3759 and 4139, the remainder = 16

Let x represent the number

Therefore, we have;

x > 16

x is a factor of 3759 - 16 = 3743, and x is also a factor of 4139 - 16 = 4123

The factors of 3743 obtained from an online resource are 1, 19, 197, 3759

The factors of 4123 obtained from an online resource are 1, 7, 19, 31, 133, 217, 589, 4123

The common factors of 3743 and 4123 are 1, 19

Given that x > 16, we have, x = 19

Therefore, the smallest possible value that will divide both 3759 and 4139 whereby the remainder is 16 = 19


Related Questions

A woman bought a stove for $2800. After using it for 2 years she decided to trade in the stove. The company estimated a depreciation of 15% for the first year of its use and a further 15% on its reduced value, for the second year.
i.) Calculate the value of the stove after two years.
ii.) Express the value of the stove after two years as a percentage of the original value. (5mks)

Answers

Answer:

$1719.55, 61.4%

Step-by-step explanation:

Original price of stove:  $2,800

Value of stove after 1 year:  (1 - 0.15)($2,800), or 0.85($2,800) = $2,380

Value of stove after 2 years:  0.85($2,380) = $1719.55

Find the ratio of this last result to the original price and convert that to a  percentage:

$1,719.55

-------------- = 0.614, or approximately 61.4%

 $2,800

In triangle FGH, is an angle bisector of and perpendicular to . In triangle F G H, angle F G H is cut by perpendicular bisector G J. The length of side F G is 3 x minus 8, the length of side G H is 16, the length of line segment F J is x. What is the length of ? 4 8 16 24

Answers

Answer:

its 16  

i had this question on edge

Answer:

c

Step-by-step explanation:

Solve the equation by​ factoring.
[tex]2x^{2} +20x=7x+7[/tex]
(PLEASE SHOW YOUR PROCESS)

Answers

2x^2+20x=7x+7

2x^2-13x-7

(2x+1) (x-7)

2x+1=0

2x/2=-1/2

x=-1/2

x-7=0

x=7

what's the slope intercept equation of slope-4 y intercept 0,11​

Answers

Step-by-step explanation:

y = mx + c

m = 4

c = 11

.: y = 4x + 11

y - 4x = 11

divide both sides by 11

[tex] \frac{y}{11} - \frac{4x}{11} = 1[/tex]

[tex] \frac{y}{11} - \frac{x}{11/4} = 1[/tex]

is the slope intercept equation (perpendicular equation)

Pentru a culege nectar 45 de albine au vizitat, intr-o singura exeditie, unele 60 flori, iar altele 75 de flori . Stiing=d ca au vizitat imreuna 3120 de flori , sa se afle cate albine au vizitat cate 75 de flori.

Answers

69.3 I think hope that helps

It rained all day on Father's Day and the temperature dropped ten and seven tenth degrees. The next day the rain stopped and the temperature rose twelve and six tenths degrees. If the temperature at the beginning of Father's Day was sixty five and eight tenths degrees, what was the temperature at the end of the day after Father's Day?

Write numerical answer only (no sentences, no units) Pls help I'll give brainliest

Answers

Answer:

[tex]67\frac{7}{10}[/tex] or [tex]67.7[/tex]°

Step-by-step explanation:

First let's interpret the wording. It mentions that on the first day the temperature dropped [tex]10\frac{7}{10}[/tex]. Then on the second day the temperature increased by [tex]12\frac{6}{10}[/tex]. Then they tell us that if the beginning temperature was [tex]65\frac{8}{10}[/tex] what would the temperature be at the end of the of the second day. So since the temperature decreased the first day we should subtract [tex]10\frac{7}{10}[/tex] from [tex]65\frac{8}{10}[/tex]. That will give us [tex]55\frac{1}{10}[/tex]. Now for the second day the temperature increased so we will add [tex]12\frac{6}{10}[/tex] to [tex]55\frac{1}{10}[/tex] and that will give us [tex]67\frac{7}{10}[/tex] and if you want it in a decimal it will be [tex]67.7[/tex].

Which equation represents a line which is parallel to the line 2x + y = -1?

Answers

Answer:

y=2x-1

Step-by-step explanation:

i passed this


William charges $4 per hour to babysit. LaRhonda charges a $10 flat fee, plus an additional $2 per hour to babysit. After how many hours will William and LaRhonda earn the same amount of money? (1 pt)

Answers

Answer:

After 5 hours

Step-by-step explanation:

LaRhonda charges a 10 dollar fee plus 5 hours will get her 20 dollars.

William will babysit 5 hours for 4 dollars and receive 20 dollars also.

The will earn 5 teeeeeee

X = 5 what is the red and blue angle? PICTURE ATTACHED

Answers

The red is 125, the blue is 145

Answer:

Step-by-step explanation:

if x=5 then

7x = 7*5 = 35°

11x= 11*5 = 55°

those two angle are adding to 180 with the red and blue ones

180-35=145° is blue

180-55=125° is red

Larry has $150 in his bank account. He deposits $27 and then writes a check for $96
and a check for $31. How much money is now in his account?

Answers

Answer:

$-4

Step-by-step explanation:

Your welcome

Answer:

$50

Step-by-step explanation:

So the best thing is to com eup with an equation. I came up with:

150 + 27 - 96 - 31

Deposit means to put money into, so that's why we're adding 27.

And then the checks mean that they are going to be taken out of, so that's why we're subtracting 96 and 31. All that's left to do now is solve.

150 + 27 = 177 - 96 = 81 - 31 = 50

A farm lets you pick 3 pints of raspberries for $12.00. Use any strategy you want to answer the questions below. 1. What is the cost per pint? 2. How many pints do you get per dollar? 3. At this rate, how many pints can you afford for $20.00? 4. At this rate, how much will 8 pints of raspberries cost?

Answers

Answer:

$4 per pint

1/4 pint per dollar

5 pints for $20

$32 for 8 pints

Step-by-step explanation:

12.00/3 = 4

$4 per pint

1/4 = 1/4

1/4 pint per $1

$20 / $4 = 5 pints

$4 * 8 = $32

Solve the equation. 5/6x - 4 = -2

A. 2 2/5

B. 1 2/3

C. -2 2/5

D. 3 2/5

Answers

Answer:

A

Step-by-step explanation:

Given

[tex]\frac{5}{6}[/tex] x - 4 = - 2 ( add 4 to both sides )

[tex]\frac{5}{6}[/tex] x = 2 ( multiply both sides by 6 to clear the fraction )

5x = 12 ( divide both sides by 5 )

x = [tex]\frac{12}{5}[/tex] = 2 [tex]\frac{2}{5}[/tex] → A

Which graph represents a proportional relationship?
I need the answer please

Answers

Answer:

The first one

Step-by-step explanation:

On a graph, if the line starts at the origin, where the 0 is, which is the center in this case, it is proportional

On a table, if the numbers all the have the same rate of change, which is y/x, then it is proportional

The first one it goes through the middle

Sally and her mom were making cookies to hand out to her neighbors for the holidays. Their first batch made 26 cookies, their second batch yielded 38 cookies, on the third batch the make 45 cookies, and for the last batch they were able to make 25 cookies. What is the mean?

Answers

Answer:

The mean number of cookies was 33.5

Step-by-step explanation:

Add the values of the terms and divide by the number of terms.

So...

26 + 38 + 45 + 25 = 134

134 ÷ 4 = 33.5

ANSWER E AND F PLEASE HELP ASAP

Answers

Answer:

f.Answer:

K = 3

T = 2

And

H = 12

Step-by-step explanation:

3k = 9

k = 9/3

k = 3.

3k =k + 3t

subtitute value of k

3×3=3+3t

9-3=3t

6/3=t

t=2.

2k + h =18

2×3+h=18

h=18-6

h=12..

Write the point-slope equation of the line that goes through (4,6) with a slope of -2.

Answers

Answer:

(6,8) i think

Step-by-step explanation:

6 > -4h + 10
How do I do this

Answers

Wolf565436 is right that is the best way to do it

saftey first owo idc if i get baned agian i have an extar account owo

Answers

Answer: uwu hai owo how are you :3

Step-by-step explanation:

Answer:

oo jeez thats gross

Step-by-step explanation:

dont share photo's kids

Consider the function f(x) = x^3 - 7x^2 - 2x + 14
What is the total number of zeros of f(x)? Explain how you got your answer.
Find the zeros of f(x). Explain your procedure as you solved it.

Answers

Answer:

There are 3 zeros, which are:

[tex]x=7,\:x=-\sqrt{2},\:x=\sqrt{2}[/tex]

Step-by-step explanation:

Given the function

[tex]f\left(x\right)\:=\:x^3\:-\:7x^2\:-\:2x\:+\:14[/tex]

To get the zeros of [tex]f(x)[/tex], set [tex]y[/tex] or [tex]f(x) =0[/tex]

so

[tex]0=x^3-7x^2-2x+14[/tex]

as

[tex]x^3\:-\:7x^2\:-\:2x\:+\:14=\left(x-7\right)\left(x+\sqrt{2}\right)\left(x-\sqrt{2}\right)[/tex]

so

[tex]\left(x-7\right)\left(x+\sqrt{2}\right)\left(x-\sqrt{2}\right)=0[/tex]

Using the zero factor principle:

[tex]\mathrm{ \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]

so

[tex]x-7=0\quad \mathrm{or}\quad \:x+\sqrt{2}=0\quad \mathrm{or}\quad \:x-\sqrt{2}=0[/tex]

solving

[tex]x-7=0[/tex]

[tex]x=7[/tex]

[tex]x+\sqrt{2}=0[/tex]

[tex]x=-\sqrt{2}[/tex]

[tex]x-\sqrt{2}=0[/tex]

[tex]x=\sqrt{2}[/tex]

Therefore, there are 3 zeros, which are:

[tex]x=7,\:x=-\sqrt{2},\:x=\sqrt{2}[/tex]

what is 4+4-3+4-6+7=​

Answers

Answer:

10

Step-by-step explanation:

itsss 10 :))))))))))>))))))))

Which triangles are congruent by AAS? Fill in the blank beside the triangles with yes or no.

Answers

Answer:

IM BOUT TO SOLVE

Step-by-step explanation:

Answer:

 

Step-by-step explanation:

The value of x is what the answer​

Answers

Answer: x = 20

because 2 triangles are similar

=> [tex]\frac{2x-4}{24}=\frac{42}{x+8}[/tex]

⇔ (2x - 4)(x + 8) = 24.42

⇔ 2x² + 12x - 32 = 1008

⇔ 2x² + 12x - 1040 = 0

⇔ 2(x - 20)(x + 26) = 0

because x > 0

=> x = 20

Step-by-step explanation:

The ratio of black socks to white socks in the sock drawer is 1:4. There are 8 black socks. How many white socks are there?

Answers

Answer:

32

Step-by-step explanation:

At a little-known vacation spot, taxi fares are a bargain. A 64-mile taxi ride
takes 72 minutes and costs $57.60. You want to find the cost of a 38-minute taxi ride. What unit price
do you need?

Answers

Answer:

The answer is 34.4

Step-by-step explanation:

Trust me it's correct

Pls mark me as brainliest

HELP ASAP! Given f(x) = ax^2 + c, list each characteristic of the function.
What does a do?
What shifts the graph from going up to going down?
What does x^2 do?
What does c do?
What is the vertex?

Answers

Sorry I just wanted freee pointed

a function of the form

Answers

Answer:

In The Function of Form, internationally acclaimed architect, Farshid Moussavi, provides a provocative critique of the historically opposing relationship between function and form to reveal the contradiction at the heart of modernism.

Step-by-step explanation:

Answer: A function of the form is a special relationship where each input has a single output like f(x)=x/2 its a function because of the input value

Step-by-step explanation:

a function can be solve this way

f(2)=1

f(16)=8

ect

hope this helps

A group of 4 friends go out for dinner and the total cost of the dinner is $200. They use a $40 coupon before splitting the bill evenly. How much would each person pay after they use the coupon? *

I AM DYING 2 KNOWWWW
Also this is a integer question

Answers

Answer:

$40.00

Step-by-step explanation:

the total is 200 so then u subtract the $40 from the coupon which will leave u with 160. Since there is 4 people 160/4 equals 40. Therefore your answer is each person pays $40.00

Answer:

40

Step-by-step explanation:

First subtract the 40 coupon from the equation since it says they use it before paying. Since they all pay the same amount, use x in this case, simply divide 160 by 4, which is 40 for each person. And to double check the answer, multiply 40 by 4, to make sure each person pays the same, then add the 40 dollar coupon, and the answer should be $200. Or, you can think of it as 40x+40(Coupon)=200. Or 200-40=40x.

somebody please belp

Answers

Answer:

- 22.76

Step-by-step explanation:

if b = - 0.16 the you subtract that with - 22.6

- 0.16 - 22.6 = - 22.76

What is the solution to 2x2+8x=x2-16? x=-4 x=-2 x=2 x=4

Answers

Answer:

2x+8x=x-16?

10x=x-16

9x=-16

x=-16/9?

Step-by-step explanation:

Answer:

X= -4 Or A on egde.

Step-by-step explanation:

I just took the test 2021

Find the sum (8x + 2) + (–9x + 7).

Answers

Answer:

-x+9

Step-by-step explanation:

remove the parenthesis

combine like like terms

8x-9x=-x

2+7=9

Answer:

-x+9

Step-by-step explanation:

remove the parenthesis and combine the alike terms

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