Integer Quotient Problem
Two positive integers have a sum of 92.
If the larger integer is divided by the smaller one, the quotient is 3
and the remainder is 12. What are the two integers?

Answers

Answer 1

Suppose that we have x and y as the integers( x is bigger than y ).

As the question told :

x = 3y + 12

_________________________________The integers have a sum of 92 which means :

x + y = 92 ==》( 3y + 12 ) + y = 92

==》 4y + 12 = 92

==》 4y = 92 - 12

==》 4y = 80

==》 y = 20

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x + y = 92 ==》x + 20 = 92

==》x = 92 - 20

==》x = 72

Answer 2

Answer:

The two integer is, y = 20 and

                               x = 72

Step-by-step explanation:

Definition of integer:

Integer, positive or negative whole number, or 0 The integers are created using the counting numbers 1, 2, 3,... and the subtraction function. The result of subtracting a counting number from itself is zero; for example, 4 4 = 0. When you subtract a greater number from a smaller number, you get a negative whole number; for example, 2 3 = 1. Every integer may be deduced from the counting numbers in this fashion, resulting in a set of numbers that can be subtracted.

As the question told :

x = 3y + 12

The integers have a sum of 92 which means :

x + y = 92

        = ( 3y + 12 ) + y = 92

        = 4y + 12 = 92

        =  4y = 92 - 12

        =  4y = 80

     y = 20

Then, x + y = 92

       x + 20 = 92

                x = 92 - 20

                x = 72

The two integer is, y = 20 and x = 72

To know abour integer here, https://brainly.com/question/17695139  

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Related Questions

Find the slope of the line that passes through the points (0,-5) and (-2,-3).​

Answers

Answer:

the slope is -1

Step-by-step explanation:

formula for slope is (y2-y1)/(x2-x1)

lets say (-2,-3) is (x2,y2)

-3-(-5)=2

-2-0=-2

2/-2=-1

Please help with these 2 range questions ❤

Answers

Answer:

10) 27

15) 18

Step-by-step explanation:

10)

Range = Max value - Min value

18 = x - 9

x = 27

15)

Range = Max value - Min value

32 = 50 - x

-x = 32 - 50

-x = -18

x = 18

Answer:

27 and 18

Step-by-step explanation:

The range is the difference between the largest and smallest numbers

(10)

Given range = 18 and smallest number is 9 then

largest number = 9 + 18 = 27

(15)

Given range = 32 and largest number is 50 , then

smallest number = 50 - 32 = 18

The length of a rectangle can be rpresented by the expression x+6. If the area of the rectangle is 2x^2+8x-24, what is the expression for the width.

Answers

Answer:

2(x − 2)

Step-by-step explanation:

The length of a rectangle can be rpresented by the expression x+6. If the area of the rectangle is 2x^2+8x-24, what is the expression for the width.

The formula for the area of a rectangle = Length × Width

Area of the rectangle = 2x² + 8x - 24

Length = x + 6

We can find the width of the rectangle be factoring the Area

Hence, factorising

2x² + 8x - 24

= 2(x − 2)( x + 6)

Therefore, the Width of the rectangle =2(x − 2)

Juan decided to start savings for college. He deposited $500 into an account which earns 4% simple annual interest. At the end of each year, he will add $250 to this account. How much will he have in his account after the end of three years?

a
$550
b
$770
c
$1,050.80
d
$1,342.83

Answers

Answer

I am getting a different answer The reason being the first year we calculating the 4% of the initial amount of the $500 towards the end of the year if he deposits the 250 the second year he gets to have a 4% interest of the 750 in total If he deposits the 250 in the 3rd he gets to have a 4% of 1000 So if you actually calculate that and get the total of all the amount which is 1,000 plus the percentages of all that you get what I've shared

9514 1404 393

Answer:

  d  $1342.83

Step-by-step explanation:

At the end of the first year, the account balance will be $500 plus 4% interest on that amount, plus the $250 deposited at the end of the year:

  $500(1.04) +250 = $770

At the end of the second year, the account balance will be $770 plus 4% interest on that amount, plus the $250 deposited at the end of the year:

  $770(1.04) +250 = $1050.80

At the end of the third year, the account balance will be $1050.80 plus 4% interest on that amount, plus the $250 deposited at the end of the year:

  $1050.80(1.04) +250 = $1342.83

_____

Additional comment

You can make an appropriate guess by realizing the total of the deposits is ...

  $500 + 3×250 = $1250

Adding interest to that will increase the amount. The only answer choice greater than $1250 is $1342.83.

please help beacsue i need to get 67 since im grounded and need good grades

Answers

[tex] \frac{4}{5} \times 10 = (\frac{4}{5}) (\frac{10}{1} ) = \frac{(4)(10)}{(5)(1)} = \frac{40}{5} = 8[/tex]

There are 3 red marbles, 4 blue marbles, 2 green
marbles, and 6 clear marbles in a burlap bag. One
marble is randomly pulled from the bag. What is
the probability the marble was green?

Answers

Answer:

2 out of 15 chance its green

Step-by-step explanation:

there's 15 marbles in total and 2 are green

Help me out. Mathmatics

Answers

Answer: A. 5.6267 X 10^8

Step-by-step explanation:

(5.62 X 10^8) + (6.7 X 10^5)= 562670000

Which has 8 numbers after 5

5.6267 X 10^8 has 8 as well just minus the zeroes

Do 2b+b and 3b have the same value for all values of b

Answers

Answer:

Expression 2b+b and 3b have same values for all values of b.

Step-by-step explanation:

Given the two expression 2b+b2b+b and 3b3b and values of b as 1, 2 and 3.

Consider first expression that is, 2b+b2b+b .

Substituting the value of b=1b=1 ,

2\left(1\right)+\left(1\right)=2+1=32(1)+(1)=2+1=3 ....1

Substituting the value of b=2b=2 ,

2\left(2\right)+\left(2\right)=4+2=62(2)+(2)=4+2=6 ....2

Substituting the value of b=3b=3 ,

2\left(3\right)+\left(3\right)=6+3=92(3)+(3)=6+3=9 ....3

Consider second expression that is, 3b3b .

Substituting the value of b=1b=1 ,

3\left(1\right)=33(1)=3 ....4

Substituting the value of b=2b=2 ,

3\left(2\right)=63(2)=6 ....5

Substituting the value of b=3b=3 ,

3\left(3\right)=93(3)=9 ....6

For value of b=1, equation 1 and equation 4 are same, for value of b=2, equation 2 and equation 5 are same and for value of b=3 equation 3 and equation 6 are same.

Therefore both expression are same for all values of b.

Step-by-step explanation:

Hope it helps you!

just follow me for more!

I'm willing to help you

Plzz help i been asking this question for way too long

Answers

Step-by-step explanation:

we know that that the stickers are 1 inch long and 1 inch wide.

We also know that 1x1=1

There are also 3 stickers.

1x3=3

3 is your area.

Which associations best describe the scatter plot?

Select each correct answer.

A. Nonlinear association

B. Negative association

C. Linear association

D. Positive association

Answers

Answer: i think hope this helps

Step-by-step explanation:

Mark me Brainliest!!!

I think it is negative association.

Hope this helps!

If the width of a pool is 60 feet and the perimeter is 200 feet, how long is the pool?
A. 140 feet
B. 120 feet
C. 40 feet
D. 50 feet

Answers

Answer:

140

Step-by-step explanation:

200-60 = 140

Answer:

c

Step-by-step explanation:

Substitute the values in the problem to get, (200) = 2(60) + 2W. Solve for W to get 200 = 120 + 2W. Subtract 120 on both sides to get 80 = 2W. Divide by 2 on both sides to get 40 = W or a width of 40 feet.

hope that helped you.

just need answer please help

Answers

Answer:

41 ft

Step-by-step explanation:

We can start by first finding the area of the top square

3*3=9

then we can find the area of the bottom rectangle

4*8=32

then we can add them together

32+9=41

Can I have Brainliest please :)

Answer:

53 [tex]ft^2[/tex]

Step-by-step explanation:

We can find the area of the figure by adding the areas of the square and the rectangle.

Area of square:

3 x 3 = 9 squared ft

Area of rectangle:

4 x (8 + 3) = 4 x 11 = 44

Add the areas:

9 + 44 = 53

The area of the figure is 53 squared feet.

JEEZUS PLEASE HELP ME PEOPLE KEEP TROLLING ME AND NONE OF MY ANSWERS HAVE BEEN CORECTLY ANSWERED, I WILL GIVE MONEY FOR FLIPS SAKE IF YOU HELP!!!!

Answers

Answer:

14. 6 x [tex]10^{17}[/tex]

15. 28.615 x [tex]10^{10}[/tex]

16. I'm so sorry, I'm not sure!

17. 1.26 x [tex]10^{10}[/tex]

18. 1.639 x [tex]10^{-8}[/tex]

19. 2.025 x [tex]10^{17}[/tex]

Hope that helps! I'm sorry if it's wrong, and sorry about all the trouble that has been brought upon you!

-Aphrodite

Step-by-step explanation:

Which of the following is not a real number?
O A. V-3
O B. 4
O C. 15
OD. VO

Answers

A

Step-by-step explanation:

Because it's a complex number

Hi guys can you answer this question​

Answers

Answer:

160403.47

Step-by-step explanation:

Please mark as brainliest

7.32*600=4392

4392*0.56= 2459.52

2459.52*3= 7378.56

7378.56/3.45=2138.71

2138.71*75= 160403.47

Answer:

28.5161739131

hope this answer helps you.....

The volume of a cylinder is 980 in cubed.
The height of the cylinder is 20 in. What is the radius of the cylinder?
Express your answer to the nearest hundredth.​

Answers

9514 1404 393

Answer:

  3.95 in

Step-by-step explanation:

The volume is given by ...

  V = πr²h

Solving for radius, we get ...

  r = √(V/(πh))

For the given numbers, the radius is ...

  r = √(980 in³/(π·20 in)) = 7/√π in ≈ 3.95 in

The radius of the cylinder is about 3.95 inches.

A table is on sale for 33% off. The sale price is $603.
What is the regular price?
Help please

Answers

Answer:900

Step-by-step explanation:

603*100/(1-33)

900

6x – 9 = 33 Check


please and thank you ​

Answers

Answer:

x = 7

Step-by-step explanation:

6x - 9 = 33

6x = 33 + 9

6x = 42

x = 42 / 6

x = 7

6x - 9 = 33

6 x 7 - 9 = 33

42 - 9 = 33

33 = 33

Hope that helps!

Answer: x=7

Step-by-step explanation:

6x-9=33

for x

6x=33+9

6x=42

x=42/6

x=7

for checking put value of x

6*7-9=33

42-9=33

33=33

Each week, Cody earns $15 and spends $12. Which table can you use to determine how much money Cody will save in 6 weeks?
a

b

c

d

Listen NEXT

Answers

Answer:

$18

Step-by-step explanation:

15 x 6 = 90

12 x 6 = 72

90 - 72 = 18

He saves 18 dollars

There are no pictures with the multiple choice answers.

My guess would be a line graph

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Answers

Answer:

The answer to your question would be...

D. $8.15

Answer:

D. 8.15

Step-by-step explanation:

8.25 times 10 = 82.5

82.5-6.5=76

76+5.5=81.5

81.5/10=8.15

Use the following explicit function to identify f(1) & r, and list the first five terms of the sequence.
f(n) = 1000(1/4)^n-1
f(1) =?
r = ?
then the 5 terms:
___, ___, ___, ___, ___...​

Answers

Given:

The explicit function is:

[tex]f(n)=1000\left(\dfrac{1}{4}\right)^{n-1}[/tex]

To find:

[tex]f(1)=?,r=?[/tex] and first 5 terms.

Solution:

The explicit formula a geometric sequence is:

[tex]f(n)=ar^{n-1}[/tex]            ...(i)

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

We have,

[tex]f(n)=1000\left(\dfrac{1}{4}\right)^{n-1}[/tex]         ...(ii)

On comparing (i) and (ii), we get

[tex]a=1000[/tex]

[tex]f(1)=1000[/tex]

And,

[tex]r=\dfrac{1}{4}[/tex]

For [tex]n=1[/tex],

[tex]f(1)=1000\left(\dfrac{1}{4}\right)^{1-1}[/tex]

[tex]f(1)=1000\left(\dfrac{1}{4}\right)^{0}[/tex]

[tex]f(1)=1000(1)[/tex]

[tex]f(1)=1000[/tex]

For [tex]n=2[/tex],

[tex]f(2)=1000\left(\dfrac{1}{4}\right)^{2-1}[/tex]

[tex]f(2)=1000\left(\dfrac{1}{4}\right)^{1}[/tex]

[tex]f(2)=1000\times \dfrac{1}{4}[/tex]

[tex]f(2)=250[/tex]

Similarly, substituting [tex]n=3,4,5[/tex], we get

[tex]f(3)=62.5[/tex]

[tex]f(4)=15.625[/tex]

[tex]f(5)=3.90625[/tex]

Therefore, [tex]f(1)=1000,r=\dfrac{1}{4}[/tex] and the first five terms are [tex]1000,250,62.5,15.625,3.90625[/tex].

Given:

The explicit function is:

To find:

and first 5 terms.

Solution:

The explicit formula a geometric sequence is:

           ...(i)

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

We have,

        ...(ii)

On comparing (i) and (ii), we get

And,

For ,

For ,

Similarly, substituting , we get

Therefore,  and the first five terms are .

x+y<6. y<x. y>1 linear programming (graph)​

Answers

Answer:

432167

Step-by-step explanation: programing

$97 is what percent of $97?

Answers

Answer:  100%

97:97*100 =

(97*100):97 =

9700:97 = 100

Now we have: 97 is what percent of 97 = 100

Question: 97 is what percent of 97?

Percentage solution with steps:

Step 1: We make the assumption that 97 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=97$.

Step 4: In the same vein, $x\%=97$.

Step 5: This gives us a pair of simple equations:

$100\%=97(1)$.

$x\%=97(2)$.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{97}{97}$

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{97}{97}$

$\Rightarrow x=100\%$

Therefore, $97$ is $100\%$ of $97$.

Answer:

100%

Step-by-step explanation:

PLEASEE HELPP!!! DUE TODAYY!!!

Answers

Answer:

b 5/12

Step-by-step explanation:

Triangle abc and xyz are congruent ,/_A is one half the size of /_B,/_y is 90° ./_c and /_z each have a measure of 45°.What is the measure of /_ a?

Answers

Answer:

∠a = 45°

Step-by-step explanation:

We are told that △abc and △xyz are congruent.

Thus;

∠a = ∠x

∠b = ∠y

∠c = ∠z

We are given;

∠y = 90°

Thus, ∠b = 90°

Now,we are told that ∠a is one half the size of ∠b.

Thus; ∠a = ½ × ∠b

∠a = ½ × 90

∠a = 45°

find the measure of angle b (imagine below)

Answers

Answer:97 °

Step-by-step explanation:

83° & b° are a supplementary angle, meaning that they equal 180°. So:

83 + b = 180

b = 97°

0.051x40(0.5+0.01)x40 using distributive property

Answers

Answer:

41.616

Step-by-step explanation:

In a class of 30 students, 6 play an instrument and 17 play a sport. There are 9 students who do not play an instrument or a sport. What is the probability that a student chosen randomly from the class plays neither a sport nor an instrument?

Answers

It’s 2 because 6+17= 23 and you add that with 9 and it’s 32 and since the class has 30 students, it would make sense to be 2.

In the app Kami, can the teacher see what time you edited the assginment. Like if i edit it at 3:00 pm, can they see what and how fast i typed?​

Answers

Answer: I don't think so because they can only see it when you turn it in. Trust me I have kami too.

A person is designing a new rectangular garden. Its area must be 344 square feet. List the length and​ width, in​ feet, of all the possible gardens with this area. Use​ whole-number dimensions. Which garden has the least​ perimeter?

Answers

Answer:

(1 x 344) ft

(344 x 1) ft

(2 x 172) ft

(172 x 1) ft

(4 x 86) ft

(86 x 4) ft

(8 x 43) ft

(43 x 8) ft

the garden with the least perimeter is the garden with dimensions 8 x 43

Step-by-step explanation:

area of a rectangle = length x width

given the area, we can determine the dimensions of the rectangle by calculating the factors of 344. the factors are then multiplied to determine the area

factors of a number are numbers that divide the original number evenly. they are numbers that when used to divide another number, we derive only only numbers

Factors of 344 = 1, 2,2,2,43 and 344

Possible dimensions and their areas

1 x 344 = =344 ft²

2 x 172 = 344 ft²

4 x 86 = 344 ft²

8 x 43 = 344 ft²

Perimeter of a rectangle = 2 x (length + width)

i would use the dimensions i calculated to determine all the possible perimeters

2 x ( 1 + 344) = 690 ft

2 x (2 + 172) = 348 ft

2 x (4 + 86) = 180 ft

2 x (8 + 43) = 102 ft

the garden with the least perimeter is the garden with dimensions 8 x 43

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