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

Determine the value of the missing sides for the following triangle

Answers

Answer:

There is no picture or diagram so add them and i can edit this answer, look at paperclip sign first take picture screen shot then add pic on paperclip edit button here.

Step-by-step explanation:

For missing sides of a triangle we do the following.

Does it have a right Angle determine other angle measures, say if an external angle on a straight line showed 145 then its adjoing interior would be 180-145=35 degree.

Are the measure of the lengths congruent with a larger or smaller triangle shown.

If yes then if one triangle showed 4 and same triangle showed 6 and had ne missing, then the other had 8 and 10 and had one missing we would compare and if 8 was the same as 4 we would recognise the congruent triangle is x2 (scale factor 2) so measure 6 woyuld also be measure 12 for the other triangle. and then to find the smaller missing side we see 10 is left over and 10/2 = 5

Other ways to find length is through Pythagoras  we use the squares a^2 + b^2 = c^2 for missing slant

and c^2 - b^2 = a^2 for any missing side

so a represents any missing side for the second equation and c represents the missing side if it is a slant only.

 

Which one of the following are rational numbers?
8
0
10/3
7

Answers

Answer:

eight and zero...

Step-by-step explanation:

hope I help

The experimental probability and theoretical probability of an event are not
necessarily the same.
A) true B) false

Answers

B I’m just putting random letters because I have to add characters apparentlyndnnd
the answer is false.

Heidi earns $11.50 per hour plus a bonus of $105 for the week. Her goal is to earn $650 for the week. Which equation
represents the number of hours, h, Heidi will have to work to reach her goal?

Answers

Answer:

48 hours

Step-by-step explanation:

$650 - $105 = $545

$545 ÷ $11.50 = 47.39 = 48 hours (Rounded)

How tall are you in centimeters (1 inches =2.54)

Answers

Answer:

Im about 178 centimeters

Step-by-step explanation:

The bottom one gghhggguffjgjtj

Answers

Answer:

the awnser should be. 3/4

Can you please move the question to the side I can't really see it all and that makes it hard to answer

3 feet = _____ inches

Answers

36 inches is the answerrr

Answer: 3 Ft = 36 Inches

Step-by-step explanation:

Last month, when Joe took his puppy to the veterinarian, the puppy weighed 4.8 pounds. This month, the puppy weighed 7.2 pounds. What is the percentage increase of the weight of the puppy?

Answers

50% is the percentage increase of weight

Sierra has a recipe she wants to make. She has to use eggs and sticks of butter. The ratio for these ingredients is 12 to 4 to make 4 batches. What will the equivalent ratio be if she wants to make 8 batches?

Answers

Then it would be 24:8
In order to make twice as many batches, you need to double the ingredients...
so you need 24 eggs and 8 sticks of butter (a ratio of 24 to 8, or 24:8)

Suppose Raj receives a raise for his hard work and now earns $6.25 per hour how many hours would he need to work to earn $132?​

Answers

Answer:

22

Step-by-step explanation:

Answer & Step-by-step explanation:

Divide how much he wants to earn by how much he earns per hour:

132/6.25 = 21.12

He needs to work 21.12 hours to earn $132.

Help me with this. 30 points. Don't put bad answer please.

Answers

Answer:

The answer is A

Step-by-step explanation:

No 30 points put I ranked up

Thx

What is the slope of a line perpendicular to the line whose equation is x + 2y =8.
Fully reduce your answer.

Answers

Answer:

2

Step-by-step explanation:

First, put the line into y = mx + b form to find the slope (m)

x + 2y = 8

Subtract x from both sides

2y = -x + 8

Divide each side by 2

y = -1/2x + 4

So, the slope of this line is -1/2

Perpendicular lines have a opposite reciprocal slope, so the slope of a perpendicular line will be 2.

Michelle buys 4 theme park admission cards online and gifts them to
her nieces. What will be the charge for 5 such admission cards, if she spent
$748 on her purchase?

Answers

Answer:

$971(nine hundreds and seventy one dollars

971 $ used the calculator for me

find x and round to the nearest tenth

Answers

Answer and Step-by-step explanation:

22ft = x (c)

20ft = y (b)

18ft = z (a)

Plug into equation.

[tex]22^{2} = 20^{2} + 18^{2} - 2(20)(18)cosC (X)\\\\484 = 724 - 720cosC\\\\-240 = -720cosC\\\\\frac{1}{3} = cosC\\\\cosx^{1} (\frac{1}{3} ) = C\\\\C = 70.5288\\\\[/tex]

C ≈ 70.5 is the answer.

Please help me on this or give me the answer!

Answers

Answer:

i agree with he or she they are correct as well

Step-by-step explanation:

Several shots were fired during a concert downtown. The performing musician received minor injuries, and no one else was injured. The musician is now suing the city for not providing proper security for the event. The musician has had financial trouble after leaving a successful boyband, and there are rumors that the musician organized the shooting so he could collect money from the lawsuit. A tree near the stage was found with several bullet holes, and it was determined the shots could not have come from the crowd. The musician owns the penthouse in the apartment building in front of the concert venue, so forensic analysts want to determine if the shots could have come from there. The penthouse is on the sixth floor, which is 85 feet from the ground . The building is 60 feet from the tree. Using the measurements from the crime scene, show your math to determine if the shooter came from the penthouse.

Answers

Answer:

The answer is 365.76 m/s

Step-by-step explanation:

B. What is the largest whole number to the left of 3.52?​

Answers

Answer:

3

Step-by-step explanation:

<---------1-----------2---------3----3.52----4----->


A diner charges $0.80 per egg and $3.00 for three pancakes. Another diner charges $5.00 for three pancakes and $0.30 per
egg
If a customer orders three pancakes, the two diners charge the same amount for the order if the customer also orders
eggs.

Answers

Answer:

If the eggs cost $0.80 per egg, then that'll be 9 eggs and for eggs costing $0.30, it would be 4 eggs to make each place cost the same

Order the following numbers from least to greatest.
122 meters ABOVE sea level
1,629 meter ABOVE sea level
15.24 meters BELOW sea level
98 meters BELOW sea level

Answers

Answer: 98 meter below

15.24 meters below

122 meters above

1629 meters above

Step-by-step explanation:

f(x)= 4x+3, g(x)= x-2
Find g(f(x))​

Answers

Answer:

4x + 1

Step-by-step explanation:

g(f(x)) = (4x + 3) - 2

         = 4x + 1

Combine like terms in expression below

2f + 9e - f + 3e

Answers

Answer:

12e + f

Step-by-step explanation:

2f - f = f

9e + 3e = 12

....

Answer:

f + 12e

Step-by-step explanation

(+2f) + (+9e) + (-f) + (+3e)

(2f) + (-f) = 1f or f

9e + 3e = 12e

f + 12e

Find the length of the third side. If necessary, round to the nearest tenth.
15
20

Answers

Answer:

Step-by-step explanation:

Whaaatt the answer isssss 15

The polynomial - 16t+ vt +s, represents the height (in feet) of an object, where v is the
initial vertical velocity (in feet per second), s, is the initial height of the object (in feet), and t is the time in seconds). Write a
polynomial that represents the height of the object. Then find the height of the object after 1 second

Answers

Answer:

At 1.5 seconds and 2.5 seconds

Step-by-step explanation:

Because this is parabolic motion, the object will reach the height of 68 feet when it's going up AND when it's coming down. In order to find out those times, you set the h on the left side of the equation equal to 68, because h stands for height.

Set that equal to 0 and factor to solve for t:

Using the quadratic formula, we get t = 1.5 and t = 2.5

The height of the object after 1 second is 229 feet.

It is required to find the height of the object after 1 second.

What is polynomial?

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations. sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer.

Given:

The polynomial - 16t² + vt+ s, represents the height (in feet) of an object,

where

v is the initial vertical velocity (in feet per second),

s, is the initial height of the object (in feet),

t is the time in seconds.

We are given;

v(o) = 45 ft/s

s(o) = 200 ft

According to given question we have,

Thus, polynomial that represents the height is;

h(t) = -16t² + vt+ s,

After a time of 1 second, height is;

h(1) = -16(1)² + 45*1+ 200

h(1) =-16+45+200

h(1) =229 feet

Therefore, the height of the object after 1 second is 229 feet.

Learn more about polynomial  here:

brainly.com/question/21610065

#SPJ2

what is 729 : 4 in long division ​

Answers

Answer: Here's what I got:

Step-by-step explanation:

I don't know if this what you wanted:

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

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–9x + 9y = 9
y = –7

(
,
)

Answers

Answer:

x=-8

(-8,-7)

Step-by-step explanation:

–9x + 9y = 9

–9x + 9(-7) = 9 (y=-7)

-9x-63=9

Both side +63

-9x=63+9

-9x=72

Both side divide   -9

x=-8

y=-7

(-8,-7)

Can you help if your are eligible to?

Answers

B is the correct answer18(y) = 6(x) x 3You got it correct.Please let me know if I am wrong.

PLS HELPP ! I’m being timed

Answers

Answer:

C

Step-by-step explanation:

What I think

Simplify the expression:
(8 - 3)(-7) =
I
Submit

Answers

Answer:

(8-3)(-7) =8×-7=-56 (-3)×(-7)=+21

Step-by-step explanation:

then -56+21= 77

A fundraiser agrees to donate an extra $75 for every $100 the school raises through selling cookies what is the constant of the proportionality

Answers

Answer:

3/4 or 0.75

Step-by-step explanation:

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