Arden’s Grandpa tries to challenge him in his mathematics studies by creating problems for him to solve. For one problem, Grandpa said, “I am thinking of some positive integer, let’s call it k, which I then multiply by the number 1357 and I end up with a product whose final four digits are 9502. Find the smallest value of k that will make this work.”

Answers

Answer 1

Answer:

7

Step-by-step explanation:

Positive integer = k

If Arden's Grandpa multiplies the integer by the number 1357, or will become 1375 × k = 1375k

If he ends up with a four digits result of 9502, to get the least value of k that will make it work, we will equate 1357k to 9502.

1357k ≥ 9502 (since we need the least value, this also means k can be greater than this value).

Divide both sides by 1357

1357k ≥ 9502

1357k/1357 ≥ 9502/1357

k ≥ 7.00

Hence the smallest value of k that will make this work is 7


Related Questions

There are 78 students in 4th grade and there are 39 girls. Using the later b to represent the boys

Answers

Answer:

78/2=39 so 39 boys and 39 girls :)

Step-by-step explanation:

Question 2
2 pts
Line CD is the perpendicular bisector of segment AB. The lines intersect
at point E. Which of these statements is true?
(Hint: it may help to draw a picture, but you don't have to turn it in!)
There is not enough information to be sure.
O E is closer to A than to B.
O E is closer to B than to A.
O E is the same distance from A and B.

Answers

Answer:Segments AC AND CD have the same length

triangle BCE IS isosceles

Step-by-step explanation:

Which table has a constant of proportionality between Y and X of 3/4

Answers

Answer:

  Table A

Step-by-step explanation:

The constant of proportionality is the ratio of y to x.

  A: 6/8 = 3/4 . . . . this is the table you want

  B: 1/4 = 1/4 . . . . . constant is not 3/4

  C: values are not proportional

Answer:

A :)

Step-by-step explanation:

What value of x makes this equatior
true?
6x + 4 = 180 – 10x
HELP ?

Answers

x =15.

Step-by-step explanation:

100 - 6x = 160 - 10x

-6x = 160 - 10x - 100

-6x = 60 - 10x

4x = 60

x = 15

Answer:

I got X=11

Step-by-step explanation:

6x +4 = 180 - 10x

+10x                +10x

 16x + 4 = 180

         -4    -4

16x = 176

16/16 and 176/16

x = 11

A manufacturer produces dice in many different sizes. If the side length of the dice is double, then the volume of the larger dice is how many time the volume of the smaller dice?

Answers

Answer:

Here you are...

Step-by-step explanation:

If you double one of the dimensions, say change one side from 2 to 4 it doubles the volume. if you were to do this to any side, say double it, it would double the volume. ... It will make the volume 4 times as much also. the volume would go from 30 to 120.

Santiago has $6000 spread across his 3 accounts. He has a checking account which pays 2% interest, a savings account that pays 5% interest, and a money market account which pays 7% interest. At the end of 1 year, he earned a total of $355 in interest. If he put $2300 less in his savings accout than his money market account. Find how much money Santiago put into each account

Answers

Answer:

Santiago put $700 into a checking account, $1,500 into a savings account and $3,800 into a money market account.

Step-by-step explanation:

From the information given, you can write the following equations:

x+y+z=6000 (1)

0.02x+0.05y+0.07z=355 (2)

y=z-2300 (3)

First, you have to replace (3) in (1) and (2):

x+z-2300+z=6000

x+2z=8300 (4)

0.02x+0.05(z-2300)+0.07z=355

0.02x+0.05z-115+0.07z=355

0.02x+0.12z=470 (5)

Now, you have 2 equations:

x+2z=8300 (4)

0.02x+0.12z=470 (5)

Then, you can solve for x in (4):

x=8300-2z (6)

After this, you have to replace (6) in (5):

0.02(8300-2z)+0.12z=470

166-0.04z+0.12z=470

0.08z=304

z=3800

Now, you can replace z in (6) to find x:

x=8300-2(3800)

x=700

Finally, you can replace z in (3) to find y:

y=3800-2300

y=1500

According to this, the answer is that Santiago put $700 into a checking account, $1,500 into a savings account and $3,800 into a money market account.

How does sin 30 degrees compare to sin -30 degrees

Answers

Answer:

one is negative mate and another is not, one is 30 lad and one is n- i mean is also 30

Step-by-step explanation:

3. R: {(1, 2), (2, 2), (−1, −2), (−3, 4)}?

Is this relation a function?

A. Yes

B. No


4. Explain your answer from #3: why or why not?

Answers

Yes it is a function Bc the x values don’t repeat

Find the equation of the given line. Line C​

Answers

Answer:

y= 2/3x -2

Step-by-step explanation:

The slope of this line is 2/3 and the y intercept is -2 because that is where the line crosses the y axis.

Evaluate 7-2k-6n when k= -3 and n= -6

Answers

Answer:

49

Step-by-step explanation:

Step 1:

7 - 2k - 6n     Equation

Step 2:

7 - 2 ( - 3 ) - 6 ( - 6 )     Substitute

Step 3:

7 + 6 + 36      Multiply

Answer:

49    Add

Hope This Helps :)

[NO WRONG ANSWERS!!!]

What is the sum of the following equation?

89x+5y+1x+5y

Answers

Hey there!☺

[tex]Answer:\boxed{90x+10y}[/tex]

[tex]Explanation:[/tex]

[tex]89x+5y+1x+5y[/tex]

In our first step, we will simplify:

[tex]89x+5y+x+5y[/tex]

Now combine like terms:

[tex](89x+x)+(5y+5y)\\90x+10y[/tex]

90x+10y is your answer.

Hope this helps!☺

If m + n = m, what is the value of n?

A) 1
B) 0
C) -1
D) Not enough information to tell

Answers

Answer:

B) 0

Step-by-step explanation:

The answer would be B

Indicate whether the lines are parallel, perpendicular, or neither. Justify your
answer.
a. Y = −3x − 1 and 12x = 4y + 7
b. X− 7y= 10 and 2x+ 14y= 21

Answers

Lines are parallel when they have the same slope. Example: 2x-1 and 2x+3 would be parallel.

Lines are perpendicular when their slopes are negative reciprocals of each other. Example: 4/3x+3 and -3/4x-7 would be perpendicular.

As for your question-

In order to find the slope of a line in these problems we can put it into y=mx+b form.
12x=4y+7
-4y=-12x+7
y=3x-7/4
The slopes are not the same so the answer is neither.

-7y=-x+10
y=1/7x-10/7

14y=-2x+21
y=-1/7x+3/2
Slopes aren’t the same so neither.

You can check on a graphing calculator too.

PLEASE ANWSER ASAP
A wall measures 13.2 feet by 8.14 feet. What is the PERIMETER of the wall using the correct number of SIGNIFICANT DIGITS?

Answers

Answer:

          43.8  

Step-by-step explanation:

Answer this question and show the workout

Answers

Answer:

Is thIs Indian server??????

two irrational numbers between 0 and 1

Answers

Answer:

1/3 and 2/3

Step-by-step explanation:

1/3= 0.33333333 (which is an irrational number)

2/3= 0.666666 (which is also an irrational number)

An irrational number is where the decimal never ends.

So 1/3 and 2/3 are irrational numbers.

What is the 96th term of -16,-28,-40 hi

Answers

Answer:

Tn = a + (n - 1) d

where a = first term

n = number of the member of the sequence

d = common difference

a = -16

n = 96

d = second term - first term or

third term - second term

= -28 - (-16) = -28 + 16 = -12 or

= -40 - (-28) = -40 + 28 = -12

d = -12

Tn = a + (n - 1) d

= -16 + (96 - 1) -12

= -16 + (95) -12

= -16 + (-1140)

= -16 - 1140 = -1156

If f(a)=(a•a•a)-(a•a) + a-1 what is the value of f(-3)?

Answers

Answer:

-40

Step-by-step explanation:

f(a) = a³ - a² + a - 1

f(-3) = (-3)³ - (-3)² + (-3) - 1

f(-3) = (-27) - (9) + (-3) -1

f(-3) = -27 - 9 -3 - 1

f(-3) = -40

Anyone know how to do this?

Answers

To find the Y-intercept it would be the first number in the column of Y that goes with 0 which is 4. To find the slope you would have to find the difference between each number which would be -1. And the root would also be 4 since it’s the X - intercept

Rashawn puts $550 in an account earning 8% simple interest annually. How much will he have in his account after 6 years? i need help please

Answers

It’s funny cause I have a friend named Rashawn
But y intercept would be 550 then multiply 8 by 6to get 48
So your answer should be $598 in 6 years

What would be the third step in simplifying the expression 3 + (9 - 5) 2 ÷ 8? subtraction addition exponent division

Answers

Answer:

the third step would be division.

hope this helps!

Step-by-step explanation:

The third step in simplifying the expression would be division.

What is division?

Division is the process of splitting a number or an amount into equal parts.

Here, given that,

3 + (9 - 5) 2 ÷ 8

=3+(4)2 ÷ 8

=3+8÷ 8

=3+1

=4.

Hence,  The third step in simplifying the expression would be division.

To learn more on division click:

brainly.com/question/21416852

#SPJ2

Please help! I'm being timed. find the distance between (12,5) and (3.4) approximated to 1 decimal point?

options: 9.1

9.3

0.2

9.4

Answers

Answer:

9.1

Step-by-step explanation:

Its 9.1 if you meant the distance between (12,5) and (3,4)

need help with the picture​

Answers

Answer:

E F D C A B

Step-by-step explanation:

thats the order the letters go in

Answer:

This is the order from top to bottom

E, F, D, C, A, and then B

Step-by-step explanation:

It is wanting the opposite

7g*4g^6 pls help me i need help

Answers

7g^10

Just add the exponents when multiplying

6+4=10

7g^10

Brainliest?

Determine the slope and the y-Intercept of the line that passes through A(-2,4), B(0,8)

Answers

Answer and work down below. Let me know if you have questions

Two points are 17 units apart on a number line. The coordinate of one point is -20.
What are the possible coordinates of the other?
A. -3 and +3
B. -37 and +3
C. -37 and -3
D. +37 and +3
E. +37 and –3

Answers

Answer:

It’s c. -37 and -3

Step-by-step explanation:

If a and b are the roots of the equation
x2 + 4x + 2m_9 and
m2_2 = a2 + 6a + 2b

Calculate the value of m

Answers

Step-by-step explanation:

Hope it will help you..

Review the expressions for j(x) and j(–x)

j(–x) StartFraction 220 Over (negative x) cubed EndFractio"

Which statement describes the symmetry of j(x)?
Which statement describes the symmetry of j(x)?

j(x) is an odd function.
j(x) is an even function.
j(x) is both an even and an odd function.
j(x) is neither an even nor an odd function.

Answers

Answer:

a Negative values, like −4ac, do not have a square root.

Step-by-step explanation:

In the case above, the statement that describes the symmetry of j(x) is that j(x) is an odd function.

What is the odd function about?

Note that:

j(x) = 220/x³

j(-x) = 220/(-x)³

If x = 1; then:

j(x) = 220/1³

= 220/1

= 220

j(-x) = 220/(-1)³

= 220/-1

= -220

If x = 2; then:

j(2) = 220/2³

= 220/8

j(-2) = 220/(-2)³

= -220/8

Note also that function j would be  an even number only when  j(-x) = j(x) for all x in the space of j.

But j is odd only when  j(-x) = -j(x) for all x in the space of j.

Looking at the values obtained, we see that: j(-x) = -j(x). Therefore, In the case above, the statement that describes the symmetry of j(x) is that j(x) is an odd function.

Learn more about symmetry  from

https://brainly.com/question/17400586

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Solve for all values of x
logx+4(3x2 – 4x + 2) = 2

Answers

The correct answer is x=4+i square root of 14over 6 ,4-I square root of 6

PLEASE HELP IDK HOW TO THIS 1 SEND HELP PLS​

Answers

It’s a I got it right today
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