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

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Related Questions

Point A is (5, 7).
Point B is (x, y).
The midpoint of AB is (17,-4).
What are the coordinates of B?
A. (22,-9)
B.(12,-11)
C. (29.-15)
D. (8.5,-2)

Answers

The coordinate of point B is at (29, -15): Option C is correct.

The formula for calculating the midpoint of two points is expressed as:

[tex]M(x, y) = {\frac{x_2+x_1}{2}, \frac{y_2+y_1}{2}}[/tex]

Given the coordinate points

A is (5, 7).

B is (x, y).

M is (17, -4)

Substituting into the formula to get x and y

17 = 5+x/2

5+x = 34

x = 34 - 5

x = 29

Get the value of y. Similarly;

-4 = 7+y/2

-8 = 7+y

y = -8-7

y = -15

Hence the coordinate of point B is at (29, -15)

Learn more here: https://brainly.com/question/13989426

guys pls help me!!!!!!!

Answers

x will be 142 degrees as they are corresponding angles. See the attached image

Fran runs 5.4 miles a day. How far will he run in 6 days?

Answers

32.4 miles in 6 days.

Step-by-step explanation-

Given:-

Fran runs 5.4 miles a day.

To find:-

How far will he run in 6 days.

Solution:-

Multiply using the formula

[tex]d = s \times t[/tex]

So, multiply:-

[tex]5.4 \times 6[/tex]

[tex] => \: 32.4 \: miles[/tex]

Therefore, he ran 32.4 miles in 6 days.

✍️ By Benjemin ☺️

Can someone explain step by step ?

Answers

Answer:

e = 128

Step-by-step explanation:

All of the angles equal 180

26 + 26 = 52

180 - 52 = 128

B is the midpoint of AC. AB = 6x + 1 and BC = 2x + 9. Find the length of AC. .

Answers

Answer:

8x + 10 = AC

Step-by-step explanation:

AB + BC = AC

6x + 1 + 2x + 9 = AC

8x + 10 = AC

what the power a when 5^a = 1/125

Answers

Answer:

a = -3

General Formulas and Concepts:

Algebra I

Solving Exponential EquationsExponential Property [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle 5^a = \frac{1}{125}[/tex]

Step 2: Solve for a

Rewrite:                                                                                                                [tex]\displaystyle 5^a = \frac{1}{5^3}[/tex]Rewrite [Exponential Property - Rewrite]:                                                       [tex]\displaystyle 5^a = 5^{-3}[/tex]Set:                                                                                                                    [tex]\displaystyle a = -3[/tex]

A park district is building an outdoor tennis court based on a scale drawing that measures 30 cm long by 13.75 cm and uses the scale 1 cm:0.8 m. What is the area of the actual tennis court in square meters?

Answers

The actual area of the tennis court is 264 m²

First use the scale to find the actual dimensions of the court:

1 cm : 0.8m

30 cm in the drawing would be:

= 0.8 x 30

= 24 m outside

13.75cm in the drawing would be:

= 0.8 x 13.75

= 11 m outside

Area of a rectangle (which is what the dimensions resemble):

= Length x width

= 24 x 11

= 264 m²

In conclusion, the area of the tennis court is 264 m²

On school days, Kiran walks to school. Here are the lengths of time, in minutes, for Kiran’s walks on 5 school days.

16 11 18 12 13
Create a dot plot to represent Kiran's data.

Add dots on the dot plot below to correctly display the data. To add dots, hover your cursor over the bottom of each column and drag up or down to set the appropriate number of dots.

Answers

Answer:

5

Step-by-step explanation:

what is the inequality shown here

Answers

Answer:

[tex] - 3 \leqslant x < 2[/tex]

I hope I helped you^_^

4.5 x 1.2 = 5.4 but I need to show my work and I suck at it​

Answers

Answer:

Bro simply multiply 45 by 12 and than put decimal in your answer after tenths place

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

-1.3 - 2 5/6 i need the answer plz help

Answers

-4 2/15 or -4.13, hopes that get you right

please someone help me with this! Giving brainliest :)

Answers

Answer:

[tex]n=3[/tex]

Step-by-step explanation:

Note that [tex]2^5*5^2=2^3*2^2*5^2=2^3*(2*5)^2=2^3*10^2[/tex].

Aha! We see a path to the solution!

We now know that our equation is actually [tex]2^3*10^2=2^{n}*10^2[/tex].

We can divide both sides by [tex]10^2[/tex] to get [tex]2^3=2^{n}[/tex].

By inspection or taking the logarithm base 2 of both sides, we see that [tex]3=n[/tex].

So, the answer is [tex]\boxed{n=3}[/tex] and we're done!

Victoria logged in to work at 8:15 am and logged out at 4:25 pm.

How many hours did she work? (Her employer rounds to the nearest quarter hour.)
7 1/2 hours

7 3/4 hours

8 hours

8 1/4 hours

Answers

8 1/4 hours long i think

In total Victoria worked for [tex]8 \frac{1}{4}[/tex] hours. Therefore, option D is the correct answer.

Given that, Victoria logged in to work at 8:15 am and logged out at 4:25 pm.

What is clock?

A clock or a timepiece is a device used to measure and indicate time. The clock is one of the oldest human inventions, meeting the need to measure intervals of time shorter than the natural units such as the day, the lunar month and the year.

Victoria logged in to work at 8:15 am

8:15 am →9:15 am →10:15 am→11:15 am→12:15 pm→1:15 pm→2:15 pm→3:15 pm→4:15 pm

8:15 am →9:15 am = 1 hour

9:15 am →10:15 am = 1 hour

10:15 am→11:15 am = 1 hour

11:15 am→12:15 pm = 1 hour

12:15 pm→1:15 pm = 1 hour

1:15 pm→2:15 pm = 1 hour

2:15 pm→3:15 pm = 1 hour

3:15 pm→4:15 pm = 1 hour

So, in total Victoria logged in for 8 hours 10 mins

Its nearest quarter is [tex]8 \frac{1}{4}[/tex] hours

In total Victoria worked for [tex]8 \frac{1}{4}[/tex] hours. Therefore, option D is the correct answer.

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Given that3x:8=7:2Calculate the value ofx.Give your answer in its simplest form

Answers

The answer is 28/3, and in simplest form its 9 1/3

Equations that are functions can be written in a form called what?​

Answers

Answer:

function notation.

Step-by-step explanation:

I was there with you i just happen to remember this one thing from my middle school

Find the value of the expression if x = 2.1, z = -4.2 and b = -3.

|2x−z|+6b

Answers

Answer:

[tex]{ \tt{ |2x - z| + 6b}} \\ \\ \dashrightarrow \: { \tt{ |2(2.1) - ( - 4.2)| + 6( - 3) }} \\ \\ \dashrightarrow \: { \tt{ |8.4| - 18 }} \\ \\ { \boxed{ \boxed{ \tt{ \dashrightarrow \: \: - 9.6 \: \: }}}}[/tex]

Please help me with this PLEASE

Answers

Answer:

The slope is 5/3

Step-by-step explanation:

-3 over to 0 is 3, so you get the run.

-2 up to 3 is 5, so you get the rise.

Slope is rise over run, which gives the answer of 5/3.

Good luck!

NEEDS TO BE CORRECT PLZ HELP

Answers

C

Step-by-step explanation:

Linear pair

it's hope it helpful to you

Answer:

c

Step-by-step explanation:

its a pair

number 1- Name the relationship between <1 and <2. *

Answers

Answer:

Step-by-step explanation:

They are both acute. They are both on the same side of the transversal. They are (incidentally) equal. They are corresponding angles.

An architect makes a scale drawing for a new school building. The door to the school on the scale drawing is 12 inches tall, while the actual door will be 8 feet tall.Question 1Part ABased on the measures of the door, what is the unit rate of feet of school building per inch of the module?Enter the correct answer in the box

Answers

Answer:

96

Step-by-step explanation:

NEED HELP BADLY IM SO DESPARTAE PLEASE DUE TOMMORWOW

Answers

Answer:

A.)16:25   B.)15:45   C.)7:10 am   D.)5:30 pm

Step-by-step explanation:

A: 16:25 B: 03:45 C) 7:10 D) 5:30

2x7=9
Can anybody help me with this??

Answers

Answer:

2 times 7 is 14

2,4,6,8,10,12,14

Step-by-step explanation:

hope this helps

What are 2 alternate points for the equation =−2/3x+5

Answers

Answer:

JC picture below

Step-by-step explanation:

JC

Surface area of composite figures

Answers

Multiply and then divide

On Sunday, a local hamburger shop sold a combined total of 536 hamburgers and cheeseburgers. The number of cheeseburgers solid was three times the
number of hamburgers sold. How many hamburgers were sold on Sunday?
Il hamburgers

Answers

Answer:

134 hamburgers sold on Sunday

Step-by-step explanation:

x+3x=536

4x=536

4x/4=x, 536/4=134

x=134

Find the values of p and q such that 4x-5-x^2=q-(x+p)^2

Answers

Answer:

p = - 2 , q = - 1

Step-by-step explanation:

Rearrange the left side into standard form

- x² + 4x - 5

Factor out - 1 from - x² + 4x

= - (x² - 4x) - 5

Using the method of completing the square

add/subtract ( half the coefficient of the x- term)² tp x² - 4x

= - (x² + 2(- 2)x + 4 - 4) - 5

= - (x - 2)² - (- 4) - 5

= - (x - 2)² + 4 - 5

= - 1 - (x - 2)²

Comparing to q - (x + p)²

with p = - 2 and q = - 1

B is between A and C. C is between B and D. If BC = 45 and CD is 20. If AB = CD, what is the measure of AD?

AD =

Answers

Answer:

AD = 85

Step-by-step explanation:

AD = AB + BC + CD ( substitute values , noting AB = CD = 20 ) , then

AD = 20 + 45 + 20 = 85

I need help pls help me

Answers

Length times width.
6cm • 4cm = 24 cm^2


I hope this helps! Let me know if you have any questions! Good luck on the rest of your assessment!

Mark this as Brainliest if you get a chance:)

HELP ASAP
Jack bought a new set of golf clubs for $186.75. The original price was $249. What percent of the original price did he pay?
75%
133.3%
33.3%
25%

Answers

Answer:  25%

Step-by-step explanation: 25% of 249 is 186.75

75%

Hope this helped you- have a good day bro cya)

Find the missing angle measurement

Answers

Answer:

85

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle.

As you can see in the attached image we can find the measure of the interior angle using the straight line and find the value of missing angle

25 + 60 = 85

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