the sum of two numbers is 72 and their difference is 26. find two numbers?

Answers

Answer 1

9514 1404 393

Answer:

  23, 49

Step-by-step explanation:

Let s represent the smaller of the two numbers. Then the larger is s+26, and the sum is ...

  s + (s+26) = 72

  2s = 72 -26

  s = (72 -26)/2 = 23

Then the larger number is

  s +26 = 49

The two numbers are 23 and 49.

_____

The reason we wrote the solution this way is to show you that the smaller number is half the difference between the given sum (72) and difference (26). This is the generic solution to a "sum and difference" problem. The smaller number is always half the difference of the give sum and difference. (Similarly, the larger is always half the sum of the given sum and difference.)

That is, the two numbers are always half the sum ± half the difference:

  72/2 ± 26/2 = {36+13, 36-13} = {49, 23}


Related Questions

Divide.
The area of a rectangular patio is 87 square feet. The length of the patio is 8 feet. What is the width of the patio?
Enter the correct answer in the box.

Answers

Answer: the width should be 12 i might be wrong i might of overthinked it the question ;-;

12x13=? please help I only know up too 12 not. 13 helppppp

Answers

Answer:

156

Step-by-step explanation:

hopefully this is the answer you're looking for

Answer:

156

Step-by-step explanation:

the answer of the product of 12 and 13 is 156


6. Over the long weekend, Mr. Kearns spends of his time working, of his
time sleeping, and of the remaining time exercising. The rest is for
eating. If the amount of time he eats is 6 hours, what is Mr. Kearns's total
time?

Answers

Answer:

the total time is 18 hours remaining

Ex astea 2 plzzzzzzzz​

Answers

I’m doing a giveaway and show how to get rubux gift cards !
I am doing a PlayStation and Xbox gift card give away

Using related equations, what is the solution of this equation ? List the related equations
7w = 92
Don’t use me for points

Answers

Step-by-step explanation:

Divide both sides of the equation by the same term

7w = 92

[tex]\frac{7w}{7} =\frac{97}{7}[/tex]

Simplify

Cancel terms that are in both the numerator and denominator

[tex]w =\frac{92}{7}[/tex]

Answer:

[tex]w= \frac{92}{7}[/tex]

What is 5^3 written as a product of the same factor?

Answers

Answer:

Step-by-step explanation:

5³ = 5×5×5

Could someone help with this math question brainlest and points

Answers

Answer:

D. 40

Step-by-step explanation:

12/30 = 16/x

or 12/16 = 30/x

Answer:

wouldn't it be 40? I could be wrong

A subway car travels at a rate of 32 meters per second. How far does it travel in 16 seconds? Use d= r x t

Answers

Answer:

I think 512 feet in 16 seconds.

brainliest??????????????????????????????

Answers

Step-by-step explanation:

Given

f(x) = 3x² + 9

g(x) = 5x

(fog)x = f ( 5x)

= 3 ( 5x) ² + 9

= 3 * 25x² + 9

= 75x² + 9

Hope it will help :)

What is the volume, in cubic inches, of one cube with an edge length of 1/3 inch

Answers

Answer:

1/27 cubic in.

Step-by-step explanation:

1/3*1/3*1/3= 1/27

The volume of the cube if, its edge length is 1/3 inch is 1 / 27 inches³.

What is volume?

The capacity occupied by a three-dimensional solid shape is known as volume. It is difficult to visualize in any shape, yet it may be compared among shapes. For instance, a compass box has a larger volume than an eraser placed inside of it.

Given:

The length of the edge = 1 / 3 inches,

Calculate the volume of the cube as shown below,

The volume of the cube = The length of the edge × The length of the edge × The length of the edge

The volume of the cube = 1 / 3 × 1 / 3 × 1 / 3

The volume of the cube = 1 / 27

Thus, the volume of the cube is 1 / 27 inches³.

To know more about volume:

brainly.com/question/13807002

#SPJ2

A book sold 34,200 copies in its first month of release. Suppose this represents 8.8% of the number of copies sold to date. How many copies have been sold to date?

Answers

388,636.36 copies have been sold

Oatmeal is made by mixing 15 cups of hot water to 6 cups of oats.

Answers

9514 1404 393

Answer:

2/5 cups oats per cup water2.5 cups water per cup oats

Step-by-step explanation:

The denominator of the fraction is the unit you want 1 of.

  (6 cups oats)/(15 cups water) = (6/15) cups oats/(1 cup water)

  = (2/5 cups oats)/(1 cup water)

1 cup of water would need 2/5 cups of oats.

__

Obviously, the other ratio is the reciprocal of this.

  (1 cup water)/(2/5 cups oats) = (5/2 cups water)/(1 cup oats)

1 cup of oats would need 2.5 cups of water

Given the functions =−12 (2)x+3. Select all statements that are true.

Answers

there ya go, the graphing

The Graduate Management Admission Test (GMAT) is a standardized exam used by many universities as part of the assessment for admission to graduate study in business. The average GMAT score is (Magoosh website, January 5, 2015). Assume that GMAT scores are bell-shaped with a standard deviation of . a. What percentage of GMAT scores are or higher

Answers

Answer:

The answer is "16%".

Step-by-step explanation:

Its empirical rule suggests which 68% of the very first standard deviation, 95% of the very first 2 standard deviations or 99.7% of the very first three standard deviations of the variance average fall.

[tex]z =647 \\\\z=\frac{(647-547)}{100}= \frac{100}{100}=1[/tex]

The empirical rule indicates the first standard deviation around 68 percent.

So,

[tex]=\frac{(100-68)}{2} \\\\=\frac{32}{2} \\\\= 16 \% \ drop \ 647 \ and \ above[/tex]

Help for instant brainliest.

Answers

Answer:

first option

Step-by-step explanation:

the working is reallly long im lazy to type hehe sorry

Answer:

Option A

Hope this helps! :)

Mr. Norris is paid a 3% commission on each boat he sells. What is his commission on a boat that he sells for $145,000?

Answers

Answer:

3% of 145000

Step-by-step explanation:

calculator

In Sahara Desert one day it was 130°F. In the Gobi Desert a temperature of -40°F was recorded. What is the difference between these two temperatures?

Answers

Answer: 170 degree difference

Answer:

The difference between two numbers canbbe obtained substracting.

The diffence between 130 °F and -40 °F would be the same as substracting both numebrs (we should put an absolute value as the difference is positive).

130 - (-40) = 130 + 40 = 170 ° F

So the difference is of 179 °F

Classify the system of equations.
2x = -2- y
5+ y = -2x + 6
Click on the correct answer.
coincident
intersecting
parallel

Answers

the correct answer is parallel

Which of these strategies will you use to eliminate a variable in the system
Explain your answer:
-x+6y=8
7x-y=-2
a. Multiply the bottom equation by 6, then subtract the bottom equation from the
top equation.
b. Add the equations.
c. Multiply the top equation by 7, then add the equations.

Answers

Answer:

Step-by-step explanation:h

answer C

to eliminate x, multiply the top equation by 7 then add the equations

it is not A because if the bottom equation is multiplied by 6, the y’s will not cancel out if the bottom is subtracted from the top (since 6x - -6x is 12 not 0)

it is not B because adding the equations will not eliminate either variable

doing option C eliminates x since -7x + 7x is 0

A city worker is painting a stripe down the center of Main Street. Main Street is 8/10 mile long. the worker painted 4/10 mile of the street. explain how to find what part of a mile is left to paint..

Answers

8/10-the length of the street minus 4/10-the completed amount equals 4/10 of a mile is the remaining. Since the denominators are the just sub the numerator.

a line passes through the points (2,2) and (5,8). What is its equation in slope-intercept form?

Answers

Answer:

y=2x+6

Step-by-step explanation:

Slope of line is 2

Plug slope and first set of coords into point-slope intercept form

In the year 2054 the government estimates that out of every 1,000,100 citizens 1,000,000 will remain law-abiding, and 100 will eventually commit a crime. The government is deciding whether to rely on the clairvoyant Precogs to stop the criminals before they commit the crime. If a person is going to commit a crime, the Precogs identify that person correctly 99.999% of the time (in other words, the Precogs fail to predict crime only in 0.001% of the cases). If a person is not going to commit a crime, the Precogs identify that person as law-abiding 99.99% of the times (in other words, the Precogs convict innocent people only in 0.01% of the cases). What is the probability that a person flagged as a future criminal by the Precogs will actually commit a crime

Answers

Answer:

0.9091 = 90.91% probability that a person flagged as a future criminal by the Precogs will actually commit a crime

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Flagged as future criminal

Event B: Commits a crime.

In the year 2054 the government estimates that out of every 1,000,100 citizens 1,000,000 will remain law-abiding, and 100 will eventually commit a crime.

This means that [tex]P(B) = \frac{100}{1000100} = 0.00009999[/tex]

If a person is going to commit a crime, the Precogs identify that person correctly 99.999% of the time

This means that [tex]P(A|B) = 0.99999[/tex]

Probability of being identified as a criminal:

0.99999 out of 0.00009999(identified and commits crime).

(1-0.99999) out of (1-0.00009999) (identifed and does not commits crime). So

[tex]P(A) = 0.99999*0.00009999 + (1-0.99999)*(1-0.00009999) = 0.000109988[/tex]

What is the probability that a person flagged as a future criminal by the Precogs will actually commit a crime

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.00009999*0.99999}{0.000109988} = 0.9091[/tex]

0.9091 = 90.91% probability that a person flagged as a future criminal by the Precogs will actually commit a crime

Abu solved 231 multiplication problems. Later, he also solved 131 divison problems. How many more multiplication problems than divison problems did Abu solve?

Answers

Answer:

Easy! Abu solved 100 multiplication problems more than division problems

Step-by-step explanation: Just take 231 - 131 = 100 :D

9x + 8y = 10
y = -4x + 7

Answers

Answer:

X=2

Step-by-step explanation:

9x+8(-4x+7)=10

9x+(-32x)+56=10

-23x=10-56

-23x=-46

X=-46/-23

so X=2

Identify the inequality that represents the following problem. One less than twice a number is no less than five. What is the solution set? 01- 2025 0 20-125 020-15 01-2015​

Answers

Answer:

2x-1 greater than or equal to 5

Solve the system of linear equations by substitution.
y = 8x – 6
2x – 4y = 24

Answers

Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(
0
,

6
)
(
0
,
-
6
)
Equation Form:
x
=
0
,
y
=

6

I need help on this question

Answers

Answer:120 DEEGREES

Step-by-step explanation:

craig has a coin and a number cube.The number cube is labeled 1-6.He flips the coin once and rolls the number cube once.What is the probability that the coin lands heads up and the number cube lands on an odd number

Answers

Answer:

3/12

Step-by-step explanation:

Need help with a math HW question urgently

If 1

Answers

Answer:

E

Step-by-step explanation:

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PLS SHOW THE WORK!!!!!!!!

Answers

Answer:

1a. x= y+1/2  1b. y=2x-1  

2a. x= -4y-8/3  2b. y= -3x/4 -2

Step-by-step explanation:

Type in math problem solver then click the first one and then you can get all your answers there

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