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

☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆

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

The line plot below shows the heights of players on a basketball team.

A line plot named

Which of the following statements are true? Select all that apply.

A.
There are 9 players on the team.

B.
76 inches is an outlier.

C.
More than half of the players are 79 inches or taller.

D.
3 more players are 84 inches tall than are 81 inches tall.

E.
The difference between the tallest and shortest player is 15 inches.

Answers

I think the answer is E

The difference between the tallest and shortest player is 15 inches.

More than half of the players are 79 inches or taller.

The correct option is (C) and (E).

What is graph plotting?

A plot is a graphical technique for representing a data set, usually as a graph showing the relationship between two or more variables.

As we see the plot.

The tallest =84 inch and the shortest =69 inch

So, The difference between the tallest and shortest player is 15 inches.

7 players are in range of 68- 78

8 players are in range of 79-84

Thus,  More than half of the players are 79 inches or taller.

Learn more graph plotting here:

https://brainly.com/question/11616742

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IF who answer fast, correct and first, I WILL GIVE YOU THEBRAINLIEST!!!!!!!!!!!!!

Answers

Answer:A

Step-by-step explanation:

La'Shawn buys the largest pizza he can find for his 16th birthday party. If he purchases the
mega pizza from Jin Jin's Biggest and Bestest Pizza and the pizza is cut into 12 equal slices with
a edge (arc) of 5.25 inches each, what is the diameter of the pizza? Round your answer to the
nearest inch.

Answers

Answer:

b

Step-by-step explanation:


Help with right Awnser

Answers

Answer:

Solution given:

base[b]=8m

perpendicular [p]=3m

we have

area of triangle=[tex] \frac{p \times b}{2} [/tex]

=[tex] \frac{3 \times 8}{2} [/tex]=12m²

is your answer

Answer:

12m2

Step-by-step explanation:

Anyone know the correct answer for the measure of angle B?

Answers

Answer:

∠B = 64.62°

Step-by-step explanation:

cos B = 3/7 = 0.4286

∠B = 64.62°

True or false: The following table is linear.

Answers

The table is linear because it goes up at a consistent rate each time.

Answer this please...........

Answers

okay lets begin with the first part of it which is tan

sinx=p/h -----> some people have  

cosx=b/h ----> curly brown hair  

tanx=p/b -----> through proper brushing

an easy way to remember the ratios ^

we have sin and cos so we can say that the h=41 b= 40 and p is 9

so tan will be [tex]tanA=\frac{9}{40}[/tex]

now csc sec and cot are reciprocals of sin cos and tan

so sinA is 9/41 cscA will be 41/9

cosA is 40/41 secA will be 41/40

tanA is 40/9 cotA will be 40/0

What is the Mean, Median, Mode, and Range for number 3

Please help

Answers

Answer:

Mean: 49

Median: 41

Mode: 45

Range: 70

Step-by-step explanation:

To find the mean: add up all the numbers, then divide by how many numbers there are.

To find the median:

Arrange your numbers in numerical order.

Count how many numbers you have.

If you have an odd number, divide by 2 and round up to get the position of the median number.

If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

To find the mode: The mode of a data set is the number that occurs most frequently in the set.

To find the range: The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest.

Find the amount accumulated after investing a principal P for t years at an interest rate compounded k times per year. P = $3,500 r= 5% t = 10 k = 4

A = ?

Answers

Answer:

To the nearest cent, the accumulated amount over the 10 years is $5,752.67

Step-by-step explanation:

Here, we want to use the given formula to find the accumulated amount on the deposit/investment

we have this as follows;

A = P(1 + r/k)^kt

P is the amount invested which is the principal = $3,500

r is the interest rate = 5% = 5/100 = 0.05

k is the number of times interest is compounded yearly = 4

t is the number of years = 10

Substituting these values in the formula, we have;

A = 3500(1 + 0.05/4)^(4 * 10)

A = 3500 (1 + 0.0125)^40

A = 3500(1.0125)^40

A = $5,752.67

find the measure of angle b (image below)

Answers

Answer:

123+b=180 (being sum of straight angle)

b=180-123

b=57

The field was 5⁄6 of an acre and 1⁄3 of the field was planted in strawberries. How many acres are planted in strawberries?

Answers

Answer:

7/6 or 1 1/6

Step-by-step explanation:

Here's how you add them!

5 /6  + 2/6  

Step 1

Since our denominators match, we can add the numerators.

5 + 2 = 7

Answer:

7 /6

Step 2

Now, do we need to simplify this fraction?

First, we attempt to divide it by 2...

Nope. Try the next prime number, 3...

Nope. Try the next prime number, 5...

Nope. Try the next prime number, 7...

No good. 7 is larger than 6. So we're done reducing.

Congratulations! Here's your final answer to 5/6 + 2/6

Answer:

[tex]\frac{5}{18}[/tex]

Step-by-step explanation:

To calculate the amount of acres planted in strawberries, all you need to do is  simple multiplication.

[tex]\frac{5}{6}[/tex] × [tex]\frac{1}{3}[/tex]

multiply the numerators by each other

[tex]5[/tex] × [tex]1[/tex] [tex]= 5[/tex]

the numerator of the new fraction is 5

multiply the denominators by each other

[tex]6[/tex] × [tex]3=18[/tex]

the new denominator is 18

the new fraction is [tex]\frac{5}{18}[/tex]

• A number is 10.678 more than 8.76. What is the number?​

Answers

10.678 + 8.76 = 19.438

Your answer is 19.438!

Good luck!

hey could someone explain this to me?

Answers

Answer:

x = 10.57 ft

Step-by-step explanation:

cos 41° = x/14

0.7547 = x/14

x = 10.57 ft

help please :)))))) im suck!

Answers

Answer:

D

Step-by-step explanation:

there are 5 (1/5) in an hour. so multiply 3/8x 5 = 15/8 which is 1 7/8

HELPP ME PLEASEEE!!!
don’t put those link/file things it gives me ur info and i can hack;)

Answers

Answer:

2 x ( -4 ) = -8

Step-by-step explanation:

2 x 4 = 8

a negative x a positive = negative

so therefore the answer is -8

(HELP PLEASE) graph and shade the solution of the system of enequalities below (HELP PLEASE!)

Answers

a b and 3 is the correct answer

Plz helps brainlist and points also Q's in the photo its math

Answers

answer :

A, C, and D

hope this helps:)

To secure a telephone pole, a steel cable will be attached to a ring on the pole 12 feet above the ground. If the cable is 15 feet long, how far from the base of the pole will the other end of the cable be anchored?

Answers

Answer:

9 ft

Step-by-step explanation:

Pythagorean theorem:

x = the  square root of 15 square minus 12 square

x= square root of 225-144

x= square root of 81

X = 9

For males in a certain town, the systolic blood pressure is normally distributed with a mean of 120 and a standard deviation of 10. Using the empirical rule, determine the interval of systolic blood pressures that represent the middle 99.7% of males.

Answers

Answer:

[tex]G=93\ to\ 147[/tex]

Step-by-step explanation:

From the question we are told that

Mean [tex]x= 120[/tex]  

Standard deviation [tex]\sigma= 9[/tex]

Percentage for men =99.75%

Generally the empirical rule 68%,95% and 99.7% of data value lay b/w 1,2,3 standard deviation of mean  

Standard deviation n= 9

Mean x= 120

Generally the interval  of systolic blood pressure for middle 99.7 of male G is mathematically given as

[tex]G=Mean \pm 3* \sigma[/tex]

[tex]G=120 \pm 3*9[/tex]

[tex]G=93\ to\ 147[/tex]

WILL MARK BRAINLIEST
4. Find x.
A) 10
B) 10.5
C) 11
D) 11.5

Answers

10.5 ( near parallel to the one next to x which will equal 11 or 11.5 but 10.5 is associated with its compression.

Answer = 10.5

(thanks if you give branliest it is always appreciated)

The value of -4 5/8 - x is positive. What are two possible values of x?

Answers

Answer:

-6, -7

Step-by-step explanation:

basically

-4 5/8 - x >0

so

x< -4 5/8

you just need 2 values less than -4 5/8

like -6 and -7

The  possible values of x could be x = -20 or  x = -10 that satisfy the inequality.

Given: -4 5/8 - x > 0

To find two possible values of x that make the expression -4 5/8 - x positive, set up an equation and solve for x.

First, let's convert -4 5/8 to an improper fraction.

The improper fraction equivalent of -4 5/8 is -37/8.

So, -37/8 - x > 0

To isolate x, move -37/8 to the other side of the inequality by adding it to both sides:

x < -37/8

Now, Two possible values of x could be:

x = -20 or  x = -10

Both of these values are less than -37/8, so they satisfy the inequality and make the expression -4 5/8 - x positive.

Learn more about Inequality here:

https://brainly.com/question/20383699

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The question says find the missing angles HELPP

Answers

Answer:

y: 71 degrees

z: 71 degrees

v: 71 degrees

x: 54.5 degrees

w: 54.5 degrees

Step-by-step explanation:

Ok, I might be wrong, please don't hate me!!!!

Since all triangles are 180 degrees, you can find all the measure while knowing only one angle measure.

To find y and z, you need to subtract 180 degrees by 38 degrees:

180 - 38 = 142

Since there are two angles, you need to divide the answer by 2.

142 / 2 = 71 degrees.

Since y and v are directly across from each other, they are the same measure (71 degrees).

With measures x and w, you do the same process of subtracting 180 by the value you know.

180 - 71 = 109

Then divide by 2.

109 / 2 = 54.5 degrees.

Giving brainliest for the correct answer

Answers

Answer:

10 x 6 = 4

4 x 4 = 16

+

6 x 10 = 60

= 76 square cm.

Answer:

D

Step-by-step explanation:

i know this is easy but can someone answer the following questions
Complete the following. Show all work for calculations. 25 points if answered correctly

List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Describe the shape of the cross section when the box is cut parallel to the base.
What is the surface area of the box?
What is the surface area of the box if it is scaled up by a factor of 10?
What is the volume of the box?
What is the volume of the box if it is scaled down by a factor of
1
10
?

Answers

Answer:

541/2 square

Step-by-step explanation:

What is the volume of the box if it is scaled down by a factor of 1/10

we know that

the volume of the smaller box=[scale factor]³*volume original box

scale factor=1/10

volume original box=5,120 cm³

so

volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³

the answer part 6) is

5.12 cm³

Please help NO LINKS/WEBSIGHTS plz and will mark brainiest if right :)

Answers

Answer: 4/5

Step-by-step explanation: We are finding sin C so that means we should divide the opposite side of angle c by the hypotenuse of the triangle. (Soh Cah Toa). The opposite side of angle c is 28 and the hypotenuse is 35. The answer is 28/35 which simplifies into 4/5. hope this helps gg

Can someone please help me with this.

Answers

Answer:

use a calculator so the multiple choice question isn't a cd

Find the volume of the following
square pyramid.
26 cm
20 cm
20 cm

Answers

I think the volume is 3,400

Just look it up on socratic

what is 8,419 divided by 3

Answers

Answer:

2806.33333333

Step-by-step explanation:

Answer: 2806.3333333 (the 3 is repeating)

Step-by-step explanation:

this is a tricky one
find the value of x in this equation??
4/6x−1=9−1/6x
(the numbers with the / is a fraction btw)

Answers

X = 12 , just solved it right now :)


Find the Quadrant in which csc x< 0 and tan x > 0

Answers

Answer:

The chosen topic is not meant for use with this type of problem. Try the examples below.

( − 9 , − 7 )

(-4,7)

(1,3)

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