The sum of two numbers is 72. The difference of the two numbers is 40. What are the two numbers.

Let
x
be the larger number and
y
be the smaller number.
Write an equation that expresses the information in the sentence "The sum of two numbers is 72."

Answers

Answer 1

Step-by-step explanation:

x + y = 72

x - y = 40

x = y + 40

so, the first equation is then

y + 40 + y = 72

2y + 40 = 72

2y = 32

y = 16

x = y + 40 = 16 + 40 = 56


Related Questions

Does the figure below appear to have line symmetry if so how many lines of symmetry

Answers

Answer:

2

Step-by-step explanation:

You can only cut it into 2 exact equal parts <3

Answer:

It has none.

Step-by-step explanation:

If it was down the middle it wouldn’t work and if it was across it also wouldn’t work.

If B=-2t+1B=−2t+1 and A=t+9,A=t+9, find an expression that equals 2B+2A2B+2A in standard form.

Answers

The value of 2B+ 2A -2t + 20.

what is Algebra?

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.

Given:

B=-2t+1

A=t+9

we have to find the expression that is equivalent to 2A + 2B

so,

2A + 2B

=2( t + 9) + 2( -2t + 1)

=2t + 18 - 4t +2

=2t - 4t + 18 +2

=-2t + 20

Hence, the value of 2A + 2B = -2t + 20

Learn more about algebra here:

https://brainly.com/question/13715639

#SPJ1

On a map once 1 cm = 22 miles, find the actual distance between two towns a & b which is 4.7 cm on the map

Answers

on the map , 1cm=5kmtherefore ,

4.7cm= 5/1 x 4.7=23.5 km <----—-answer

can u help me find the GCF of monomials/ with solution

1). 14, 42
2) 16a, 20
3) 22d,33e,99f
4)21b, 14ab, 49bc

Answers

14, 4, 11, 7

1. 14, 42

   14 = 2 x 7

    42 = 2 x 3 x 7

GCF = 14

2.  16a , 20

     16a=  2 x 2x2x2xa

      20 = 2 x 2 x 5

GCF = 4

3) 22d,33e,99f

        22d = 2 x 11x d

        33e = 3 x 11 x e

         99f = 3 x3 x 11 xf

 GCF = 11

4)21b, 14ab, 49bc

    21b= 3 x 7 xb

    14ab = 2 x 7 x a x b

     49bc = 7 x7xb x c

GCF = 7

To learn more about  GCF, refer to https://brainly.com/question/219464

#SPJ9

how do i solve this equation

Answers

Answer:

[tex]\frac{9b}{a^{2} }[/tex]

Step-by-step explanation:

[tex]\frac{a^{2} }{b}(\frac{3b}{a^{2} })^{2}[/tex]

[tex]\frac{9a^{2}b^{2} }{a^{4}b }[/tex]

[tex]\frac{9b}{a^{2} }[/tex]

When applying PEMDAS, always work from left to right. True or False?​

Answers

Answer:

False

Step-by-step explanation:

Sometimes, multiplication can occur after addition. For example, in 3+4*7, you don't add 3 and 4 first. You multiply 4 and 7 first since that's following the PEMDAS rule. After multiplying 4 and 7, then you add 3 to get a total of 31. ==> 3+4*7=3+28=31.

This is indeed true by starting with parenthesis and brackets. Then exponents, then multiplication or division. Then addition and subtraction.

Angie and Kenny play online video games. Angie buys 1 software package and 4 months of gameplay. Kenny buys 1 software package and 1 month of game play. Each software package cost $35. If their total cost is $150, what is the total cost of one month of gameplay?

Answers

The answer to the problem is $16

Answer:

let m = the cost of 1 month game play(20 + 3m) + (20 + 2m) = 115by solving we findm = $15

Step-by-step explanation:

100 Points Please Help Quick
Which function has a constant additive rate of change of –1/4?

A coordinate plane with a straight line with a negative slope. The line passes through (negative 2, 2) and (2, 1).

A coordinate plane with a curved line passing through (negative 1, 2), (0, negative 1), the minimum (2, negative 2), and (4, negative 1).

A two-column table with five rows. The first column, x, has the entries, 20, 21, 22, and 23. The second column, y, has the entries negative 1, negative 1.5, negative 2, and negative 2.5.

A two-column table with five rows. The first column, x, has the entries, negative 12, negative 11, negative 10, and negative 9. The second column, y, has the entries, 7, 11, 14, and 17.

Answers

Answer:

(A) is correct.

Step-by-step explanation:

As we know,

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

From the first graph:

The line goes through the points:

(-2, 2) and (2, 1)

y - 1 = (1-2)/(2+2)[x -2]

y - 1 = (-1/4)[x -2]

y = -x/4 + 1/2 + 1

y = -x/4 + 3/2

The constant additive rate of change = -1/4

Thus, the function shown in graph (A) has a constant additive rate of change is -1/4 option (A) is correct.

The objective of __________ research is to gather preliminary information that will help define the problem and suggest hypotheses.

Answers

The objective of Exploratory Research research is to gather preliminary information that will help define the problem and suggest hypotheses.

Exploratory Research is a methodology approach that explores research

question that have not previously been studied in depth.

The nature of experimental studies is generally frequently qualitative. However, an investigation with a big sample size might also be quantitative. Due to its open-mindedness and flexibility, it is additionally commonly referred to as interpretivism or a grounded theory method.

It is commonly employed when the subject you're examining is new, or perhaps the data collection method is challenging in certain way.

Learn more about of  Exploratory Research at:

https://brainly.com/question/8755127

#SPJ4

Eric rented a truck for one day. There was a base fee of 19.95 and there was an additional charge of 97 cents for each mile driven. Eric had to pay 190.67 when he returned to the truck. For how many miles did he drive the truck?

Answers

Answer: 176 miles

Step-by-step explanation:

m=mile.

97 cents=

97/100 dollars=$0.97

190.67=19.95+0.97m

170.72=0.97m

m=176 miles

Please Help me ASAP 100 points for correct answer

Answers

Answer:

C

Step-by-step explanation:

$5660
R= 11%
T= 9 months

Answers

Answer:

this is a finance and it is an

Square the binomial: (8y-5)^2

Answers

Answer:64y^2 −80y+25

Step-by-step explanation:

Find the measure of the missing angles.
d=
e=
e
d
129⁰
f
f=

Answers

Step-by-step explanation:

e = 129° ( being vertically opposite angle )

Now ,

f + 129° = 180° ( being the angle in linear pair )

Again ,

d + 90° = 180° ( being the angle in linear pair )

d = 180° - 90°

d = 90°

☘️☘️☘️ ...

Answer:

d = 90° , e = 129° , f = 51°

Step-by-step explanation:

d and 90° are a linear pair and sum to 180° , that is

d + 90° = 180° ( subtract 90° from both sides )

d = 90°

e and 129° are vertically opposite angles and are congruent , then

e = 129°

f and 129° are a linear pair and sum to 180° , that is

f + 129° = 180° ( subtract 129° from both sides )

f = 51°

Fatima is selling cookies in a bake sale. She packages 20 cookies in 4 minutes. Describe the relationship between the amount of cookies and the time it takes to package them.

Answers

Based on the number of cookies that Fatima was able to package in a certain amount of time, the relationship between the cookies and the time it takes to package them is a single cookie is packaged in 12 seconds.

How long does it take to package the cookies?

To find the amount of time it takes to package the cookies, the formula is:

= Number of minutes /  Number of cookies

= 4 / 20

= 1/5

= 0.20 minutes  

When converted to minutes, this is:

= 0.20 x 60 seconds per minute

= 12 seconds

In conclusion, it takes 12 seconds to package a cookie on average.

Find out more on rate of packing at https://brainly.com/question/28370943

#SPJ1

An algorithm that uses a constant number k of integer variables to find a number list's minimum value has space complexity s(n) = _____ and auxiliary space complexity s(n) = _____.

Answers

According to the given statement:

Minimum value has space complexity S(N) = N

Auxiliary space complexity S(N) = k.

The correct option is D.

Briefing:The given algorithm returns the minimum value from the a list of N items using k constant integer variables, so its space complexity S(N) is N or O(N), since the list needs N total bytes to store N items.When storing the constant number k of arithmetic operations to find the minimum value from a list of N items, the auxiliary space complexity S(N) will be equal to k. The auxiliary space complexity required by the algorithm is k.The right answer is therefore option N,k.

To know more about complexity visit:

https://brainly.com/question/20709229

#SPJ4

I understand that the question you are looking for is:

An algorithm that uses a constant number k of integer variables to find a number list's minimum value has space complexity S(N) = _____ and auxiliary space complexity S(N) = _____.

Group of answer choices:

A.  k, N

B. N, N

C. k, k

D.  N, k

Initial estimates of the probabilities of events are known as _____ probabilities.

Answers

Initial estimates of the probabilities of events are known as Prior Probabilities.

Prior Probabilities can be defined as the probability of the event before the event takes place.

For Example ,Let there be three wells X,Y,Z with water in it . it is given that one of the wells have the water that is fit for drinking. So the prior probability that Well Z can have drinking water is 1/3 i.e. 0.333  .

Therefore , the Initial estimates of the probabilities of events are known as Prior Probabilities.

Learn more about Probability here https://brainly.com/question/16860194

#SPJ4

A man drove 14 mi directly east from his home, made a left turn at an intersection, and then traveled 9 mi north to his place of work. if a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?

Answers

If a road was made directly from his home to his place of work, its distance will be 16.6 mi.

If a man drives east from his home, makes a left turn at an intersection, and then travels north to his place of work, then the path he travels resembles the sides of a right triangle (see attached photo).

if a road was made directly from his home to his place of work, then this path will be the hypotenuse of the triangular path.

Using Pythagorean theorem, we can solve for the distance of the road.

c^2 = a^2 + b^2

where c is the distance of the road

a is the distance he travels to the east

b is the distance he travels up north

c^2 = a^2 + b^2

c^2 = (14 mi)^2 + (9 mi)^2

c^2 = (196 + 81) mi^2

c^2 = 277 mi^2

c = 16.64331698 mi

distance of the road = c = 16.64331698 mi

Rounding off to the nearest tenth of a mile:

distance of the road = 16.6 mi

Learn more about Pythagorean Theorem here: https://brainly.com/question/343682

#SPJ4

A bookstore offered mystery bags each containing 12 books. The quantity of each type of book was the same in
each mystery bag. A shopper bought 3 mystery bags and found that 6 books were spy novels.
Based on this information, which prediction can the shopper make about buying mystery bags in the future?
A.There will be 4 more spy novels in 8 bags than in 6 bags
B.There will be 2 more spy novels in 6 bags than in 4 bags.
C.There will be 1 more spy novel in 9 bags than in 8 bags.
D.There will be 6 more spy novels in 10 bags than in 8 bags.

Answers

The prediction thay the shopper can make about buying mystery bags in the future is A.There will be 4 more spy novels in 8 bags than in 6 bags.

How to calculate the value?

Since the shopper bought 3 mystery bags and found that 6 books were spy novels, it means that there are 6/3 = 2 spy novels in each bag.

There, the prediction thay the shopper can make about buying mystery bags in the future is that there will be 4 more spy novels in 8 bags than in 6 bags.

This is because there's an extra 2 bags which will be equal to 4 spy novels

Learn more about mystery numbers on:

brainly.com/question/25734188

#SPJ1

PLEASE HELP!!

30 POINTS + BRAINLIEST!

GEOMETRY A

Answers

It is h because that is right so listen to me please because it is right

A coordinate plane with a horizontal line passing through (negative 3, negative 3), (negative 3, 0) and (negative 3, 3).
Which is true of the standard form of the equation of the line graphed?

Answers

Answer:

x = - 3

Step-by-step explanation:

Given

The line passes through the points:

(-3, -3,), (-3, 0) and (-3, 3)

Since all x- coordinates are same, the line is vertical and its equation is:

x = - 3

Trinity Rubidoux
Angle Terminology with Equations
Sep 19, 3:36:40 PM
?
ZA and ZB are vertical angles. If mA = (5x +24)° and m/B= (6x - 5)°,
then find the measure of ZB.

Answers

The measure of ∠B = 189°

Here it is given that

∠A = (5x + 24)° and ∠B = (6x - 5)°

∠A and ∠B are vertical angles

Since vertical angles are always equal so

      ∠A = ∠B

5x + 24 = 6x - 5

add +5 on both sides, we get

5x + 24 + 5 = 6x - 5 + 5

     5x + 29 = 6x

add -5x on both side, we get

   5x - 5x + 29 = 6x - 5x

   x = 29

Now put the value of x in 6x - 5

6 × 29 - 5 = 189

The measure of ∠B = 189°

What is  vertical angle theorem?

According to the vertical angle theorem, the vertical angles that are created when two lines intersect are congruent. There are equal amounts of vertical angles. For instance, if a, b, c, and d are the four angles created by two intersecting lines and a, b, and c are vertically opposed to d and c, respectively, then a, b, and c are congruent to d.

To know more about Vertical angle theorem, visit:https://brainly.ph/question/287711

#SPJ9

2. What is the slope of the line that passes through the given points? (1 point)
(6,-1) and (-3,-1)
A. undefined
B.-2/3
C.0
D.-3/2

Answers

Answer:

C. 0

Step-by-step explanation:

m = (y2-y1)/(x2-x1)

m = (-1 - -1)/(-3 - 6) = (-1 + 1)/(-9) = 0/9 = 0

Answer:

C

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (6, - 1 ) and (x₂, y₂ ) = (- 3, - 1 )

m = [tex]\frac{-1-(-1)}{-3-6}[/tex] = [tex]\frac{-1+1}{-9}[/tex] = [tex]\frac{0}{-9}[/tex] = 0

121= 4(5-3x) +5
121=20-12x+5

Answers

The value of 'x' is -8 in the given equation 121 = 4(5-3x) + 5.

What exactly do we mean by equations?A mathematical equation is a statement that connects two expressions with equal values by using the symbol 'equal to.'For example, 3x + 5 = 15.Linear, quadratic, cubic, and other types of equations exist.

So, 121 = 4(5-3x) + 5:

121 = 4(5-3x) + 5121 = 20 -12x + 5121 = 25 - 12x-12x = 96x = -96/12x = -8

Therefore, the value of 'x' is -8 in the given equation.

Know more about equations here:

brainly.com/question/2972832

#SPJ9

Algebra Challenge
1. Simplifying Expressions
Demam
The elementary school is building a new triangular playground that they want to
fence in. Given the three side lengths of 2x-1, 4x and 12x + 5 find the value of x
when the perimeter of the playground is 112 ft.
The situation can be represented by
nswer:
(2x-1)+4x+(12x+5)=114

Answers

Answer: Answer is 6.11

Step-by-step explanation:

Lets solve this equation (2x-1)+4x+(12x+5)=114

step 1: we first add x variables

          ie. 2x + 4x + 12x = 18x

step 2: we add numbers

          ie. -1 + 5 = 4

step 3: now we arrange LHS part

         ie.  18x + 4 = 114

step 4: now move this 4 to right hand side and simplify them

         ie. 18x = 114 - 4 = 110

step 5: now we divide 110 by 18 to get the value of x

         ie. x = 110/18 = 6.11

Learn more about this question here: https://brainly.com/question/26174187?referrer=searchResults

i need help please step by step hurry

Answers

Answer:

Step-by-step explanation:

10 x 21 - 61

210 - 61= 149

18 x 8 + 5

144 + 5= 149

21 + 10= 31

(Don't need to right this part down)

Since the 149 is parallel or the same size on the opposite side, it should be the same answer

Deb wants to organize a group of friends to go to a karaoke studio Friday night. She must pay $30 to reserve a private karaoke room plus $5 for each person in the group. She also wants to have snacks for the group at a cost of $2 per person. How many people can Deb invite in order to spend a total of $65?

Fill in the blanks to create an equation to represent the situation.

blank x + 2x + blank = 65

Answers

Based on the solution below, the number of people Deb can invite in order to spend a total of $65 is 5 people.

How do we use an equation to find a number?

Given:

blank x + 2x + blank = 65 ............................... (1)

Where:

x = Number of people Deb can invite

First blank with x variable = 5; since Deb must pay an additional $5 for each person in the group

Second blank without x variable = 30; since Deb $30 to reserve a private karaoke room

Substituting the relevant values into equation (1) and solving for x, we have:

5x + 2x + 30 = 65

7x = 65 - 30

7x = 35

x = 35 / 7

x = 5

Learn more about the equation here: https://brainly.com/question/14686792.

#SPJ1

whats 4x5x6x32x4x4x4x4

Answers

Answer:

983,040

Step-by-step explanation:

4×5=20

6×32=192

4×4=16

4×4=16

20×192×16×16

=983,040

How many gallons are in a 2 liter bottle of soda?

Answers

Answer:

1/2 gallon.

Step-by-step explanation:

1 liter = 1/4 gallon

Basing the measurement off of this info, we can determine that 2 liters is equal to a half-gallon because it is 2 quarters, which simplifies to one-half.

What is 424.4 ÷ 8? show your work

Answers

Answer: 53.05

Step-by-step explanation: Simply divide both using the division method. Show your work as the method. (would recommend drawing out the problem)

Answer:

60.5

Step-by-step explanation:

60.5

8 424

-42

0

4.0

4.0

0

Other Questions
Identify the factors which can be appraised in stressful events. If your completed quadrant streak plate showed two different and distinct colony appearances, what could you conclude? When developing your own process improvement plan, what four steps shouldyou follow as a guide? List the step, name of step, and one example of a questionassociated with that step: similarities between 10 commandments and 12 tables What does your answer indicate about the total resistance of a parallel circuit with three resistors, compared to the resistance of the circuit with a single resistor? Exercise 2 Identify what type of pronoun is in italics. Write per.personal, pos.possessive, ref.reflexive, and int.intensive. Then write S if the pronoun is singular and Pl. if it is plural.Did that girl ask you to dance? g(n)=n+3f(n)=-n-5Find g(3)-f(3) A stunt man drops from a building and falls 15m down onto a giant air mattress sketchA) How much time does it take for the stunt man to hit the air mattress?B) What is his velocity as he slams into the mattress (# and direction)?PLEASE HELP!!! ASAP How long will it take you to bike 225 miles ataspeed of 15 miles per hour?Am I supposed to divide try to classify the following stem growth forms. If you are planning an extended drive, advance preparation can pay off in terms of:______. How many coulombs of positive charge are there in 1. 21 kg of plutonium, given that its atomic mass is 244 and each plutonium atom has 94 protons? y is inversely proportional to the square of x find an equation for y in terms of x An explanation needed, thx The points (-4,2) and (4,2) are two vertices of a square. State all other order pairs that could be the other two vertices of the square. Find a vector function r(t), that represents the curve of intersection of the two surfaces. the cylinder x2 y2=36 and the surface z=4xy Explain the documentation that each provider will be creating as part of the patient's record I have problem of money and asked my mom to help with money to buy new pair of shoes How is the future value of $500 invested for one year at 6 percent annual interest computed? Moderate or normal psychological strain that could actually be beneficial is called ____. In the context of identifying and clarifying information needs for research, one of the essential components of the problem definition process is that _____.