The sum of two numbers is 65. The larger number is 5 more than the smaller number. What are the numbers?

Answers

Answer 1

Answer:

30 and 35

Step-by-step explanation:

Put this question into equation form:

Let x be the smaller number, if the larger number is 5 more and the total is 65:

x + 5 + x = 65

2x + 5 = 65

Subtract 5 from both sides

2x + 5 - 5 = 65 - 5

2x = 60

Divide both sides by 2:

2x ÷ 2 = 60 ÷ 2

x = 30

As the larger number is 5 bigger:

30 + 5 = 35

So the two numbers are 30 and 35.

Hope this helps!

Answer 2

Answer:

Small number 30

Large Number 35

Step-by-step explanation:

The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:

x + y = 65

The difference between x and y is 5. In other words, x minus y equals 5 and can be written as equation B:

x - y = 5

Now solve equation B for x to get the revised equation B:

x - y = 5

x = 5 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 65

5 + y + y = 65

5 + 2y = 65

2y = 60

y = 30

Now we know y is 30. Which means that we can substitute y for 30 in equation A and solve for x:

x + y = 65

x + 30 = 65

X = 35

Therefore the large and small number us 35 and 30 respectively.


Related Questions

Multiply or divide. write fractions in simplest form.

0.15 x (-0.6)

please help with this problem. i will mark you brainliest !

Answers

Step-by-step explanation:

Multiply

0.15

by

0.6

.

0.09

Simplified
0.15x(-0.6)=-0.09

PLEASE HELP!!
What is the equation that represents the sequence shown below?
7/2, 7/4, 7/8, 7/16, ….

Answers

Answer:

7/2(1/2)^(n-1)

Step-by-step explanation:

multiplied by 1/2 each time, and first one is 7/2, so 7/2(1/2)^(n-1)

9th grade math pls help
g(x)=2f(1/2x)

Answers

Answer:

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    g*(x)-(2*f*(1/2*x))=0

The answer is:
f=g
g=f
x=0/-f+g.

Tell me if you want step by step!

Hope this helped! :)

(I just solved for the variables I don’t know if you want be me to solve for something else.)

If z=15, what would the expression z2 – 2z + 15 be equal to?
A 205
B 210
C 215
D
220

Answers

None of those are correct.

Which expression does not have a solution of 14, if w = 9?

a. w + 5
b. 5 + w
c. 23 - w
d. w - 9

Answers

The answer is D: W-9
The answer is D. w-9

please help as fast as you can

Answers

Answer:

x= 32 i think

CD= 51

Step-by-step explanation:

Answer:

9x-15=7x-1. => 2x=14 x=7

CD= 7×7-1=48

PLEASE HURRY WILL GIVE BRANLESIT
Function 1 is represented by the equation y = 6x + 25

Function 2 is represented by the table.

x y
5 31
10 41
15 51
20 61


Which statement about the two functions is true?
The rate of change for Function 2 is 5 times the rate of change for Function 1.

The rate of change for Function 2 is three times the rate of change for Function 1.

The rate of change for Function 2 is one third the rate of change for Function 1.

The rate of change for Function 2 is the same as the rate of change for Function 1.

Answers

Answer:

The rate of change for Function 2 is one third the rate of change for Function 1.

Please mark brainliest if possible :)

Ahmad bought 11 pounds of sugar for $6.
How many dollars did he pay per pound of sugar?

Answers

66 dollars 11x6= 66 dollars

Which graph appears to show a linear proportional relationship between x and y?

A,B,C, or D

Answers

Answer:

Step-by-step explanation:

Please help answer this question picture is including

Answers

Answer:

B.15

Step-by-step explanation:

The answer is 15 because we can identify this shape as a quadrilateral kite

So, we know that a quadrilateral kite has two pairs of congruent adjacent sides

Therefore AB = AC and BD = DC

Calcula el área de un círculo cuyo diámetro mide 4 metros.

Answers

Answer:

12.56 m²

Step-by-step explanation:

Circle with diameter 4 has a radius of 2

Area of Circle = πr²

Area of Circle = 3.14(2²)

Area of Circle = 12.56

El círculo de diámetro 4 tiene un radio de 2

Área del círculo = πr²

Área del círculo = 3,14 (2²)

Área del círculo = 12.56

-Chetan K

Is there a proportional relationship between x and y? Explain.

Answers

Answer:

c

Step-by-step explanation:

14-11=3

12-9=3

10-7=3

8-5=3

Answer:

A

Step-by-step explanation:

It isn’t proportional because when you graph the coordinates, it doesn’t pass the origin, so it isn’t equivalent. Therefore, making the answer A.

20.
Find a quadratic function to model the values in the table.

A. y = -2x^2 - 3x + 3

B. y = 3x^2 + 3x - 3

C. y = -3x^2 - 3x - 3

D. y = 2x^2 + 3x + 2

Answers

Answer:

B. y = 3x^2 + 3x - 3

Step-by-step explanation:

Find the function rule.

y = 3 x ^2 + 3 x − 3

\table[[x,y],[-1,-3],[0,-3],[3,33]]

The quadratic function to model the values in the table is,

⇒ y = 3x² + 3x - 3

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The values of x and y in the table are,

⇒ x = - 1, 0, 3

⇒ y = - 3, - 3, 33

Now, We know that;

The standard form of the quadratic equation is,

⇒ y = ax² + bx + c

Put x = - 1, y = - 3;

⇒ - 3 = a (- 1)² + b (- 1) + c

⇒ - 3 = a - b + c  .. (i)

Put x = 0, y = - 3;

⇒ - 3 = a (0)² + b (0) + c

⇒ - 3 = c

Put x = 3, y = 33;

⇒ 33 = a (3)² + b (3) + c

⇒ 33 = 9a + 3b - 3

⇒ 36 = 9a + 3b

⇒ 36/3 = 3a + b

⇒ 3a + b = 12  .. (ii)

From (i);

⇒ - 3 = a - b + c

⇒ - 3 = a - b - 3

⇒ a - b = 0 .. (iii)

Solve for (i) and (iii), we get;

⇒ a = 3, b = 3

Hence, The quadratic function to model the values in the table is,

⇒ y = ax² + bx + c

⇒ y = 3x² + 3x - 3

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

(8 points) will mark brainliest!! pls help:)

Answers

Answer:

-0.366666666667

Step-by-step explanation:

that's what you get when you divide -22/5 (-4 2/5) by 4/3 (1 1/3)

Answer:

-24/5 is the correct answer.

Steps:

1) -4 x 2/5 = -8/5

2) 1 x 1/3 = 1/3

3) -8/5 : 1/3 = -24/5

A couple goes to a restaurant for dinner. Below is a probability table in which X is the
amount (dollars) on the meal spent by the husband and Y is the amount spent by the
wife.
X = 15
X = 20
X = 25
Y = 15
0.20
0.15
0.05
Y = 20
0.15
0.15
0.10
Y = 25
0.05
0.10
0.05
a. (7 pts) What is the probability that this couple spends 45 dollars or more?
b. (7 pts) Suppose that the restaurant is currently running a promotion with a
10% discount if the total amount spent by a table is 45 dollars or more.
What is expected total amount the couple actually has to pay?

Answers

Using the probability table, it is found that:

a) There is a 0.25 = 25% probability that this couple spends 45 dollars or more.

b) The expected amount the couple actually has to pay is $36.85.

From the table, the probabilities of each total cost are:

[tex]P(X = 30) = P(X = 15|Y = 15) = 0.2[/tex]

[tex]P(X = 35) = P(X = 15|Y = 20) + P(X = 20|Y = 15) = 0.15 + 0.15 = 0.3[/tex]

[tex]P(X = 40) = P(X = 15|Y = 25) + P(X = 20|Y = 20) + P(X = 25|Y = 15) = 0.05 + 0.15 + 0.05 = 0.25[/tex]

[tex]P(X = 45) = P(X = 20|Y = 25) + P(X = 25|Y = 20) = 0.1 + 0.1 = 0.2[/tex]

[tex]P(X = 50) = P(X = 25|Y = 25) = 0.05[/tex]

Item a:

This probability is:

[tex]P(X \geq 45) = P(X = 45) + P(X = 50) = 0.2 + 0.05 = 0.25[/tex]

There is a 0.25 = 25% probability that this couple spends 45 dollars or more.

Item b:

The expected value is the sum of each outcome multiplied by it's respective probability.

For X = 45 and X = 50, the value is multiplied by 0.9, due to the discount.

Hence:

[tex]E(X) = 0.2(30) + 0.3(35) + 0.25(40) + 0.9[0.2(45) + 0.05(50)] = 36.85[/tex]

The expected amount the couple actually has to pay is $36.85.

A similar problem is given at https://brainly.com/question/24855677

Please take a look at the picture

Answers

Answer:

C

Step-by-step explanation:

it is none of the above, because

x - (-x) = x + x = 2x

and that is not -x

0 - (-x) = 0 + x = x

and that is not -x

9÷108 please tell me

Answers

Answer:

108 ÷ 9 = 12

Step-by-step explanation:

Answer:

0.083333333333333

Step-by-step explanation:

y’all please help me

Answers

I think it is 2 but I really don’t know

A boy eats ⅝ of a loaf at breakfast and ¼ of it for Lunch. what fraction of the loaf is Left?​

Answers

To make 5/8 and 1/4 even, we multiply 1/4 by 2 on the numerator and denominator.

This makes the fractions, 5/8 and 2/8.
5/8 + 2/8 = 7/8

8/8 - 7/8 = 1/8

There is 1/8 of the loaf left.

Drag the tiles to the correct boxes. Not all tiles will be used. What are the domain and the range of function f? range arrowRight domain arrowRight

Answers

the domain is the first one and the 2nd one (going down) is the range

here are the correct answers :)

The graph of function f is shown below. Find f(-4)

Answers

Answer:

pls give the correct question the question is not correct

do you have a cat and if so how old is he or she

Answers

To be honest in my opinion, without offending anyone or being condescending, and without triggering anyone, I just want to say I got nothing to say but I have none

Find the measure of the angle ACD in the given figure???

Answers

Answer:

∠ACD = 33.5°

Step-by-step explanation:

The arc length will be twice ∠ ABD,

∠ABD will equal ∠ACD because they subtend the same arc length.

3x + 7 = 2(2x - 6.5)

3x + 7 = 4x - 13

x = 20

∠ABD = (2(20) - 6.5) = 33.5

solve the following stystem -4x + 2y = 0 and x + y = -1

Answers

The (x, y) values are (-1/3, -2/3) respectively

Can someone please help me

Answers

Answer:

Q14. Percentage decrease in price of TV

   = (1100-1034)r1100×100%

   = 66r1100×100%

   = 6%

Q15. 450r9000 × 100% = 5% discount

Answer:

Q14 - 6% decrease

Q15 - 5% decrease

Step-by-step explanation:

how to get your answers;

subtract starting value with final value

divide the sum with the starting value

multiply by 100 and round if needed

hope that helps. ♥️

Do y’all know the answer ….???

Answers

Answer:

$500

Step-by-step explanation:

John earns $100 per night.

He works 5 nights a week.

Therefore his weekly gross wage = $100 × 5

= $500

Coach Eddie ordered baseball gloves 30% of them were left handed. If 24 gloves were left handed, how many total gloves are there

Answers

Answer:

sorry I don't understand

A sum of money was shared between Joan and Ngozi in the ratio 5:3. If Joan share was 40.00naira how much was the original sum of money

Answers

Answer:

64

Step-by-step explanation:

J : N

5 : 3

40 : x

40×3=120

120÷5=24

24+40=64

to confirm if it's correct:

5:3

5+3=8

(5/8)×64=24

(3/8)×64=40

therefore, it's 64

A baker needs to arrange 487 cookies on plates.
Each plate can hold 8 cookies. How many plates will
the baker need

Answers

Based on the information given the number of plates that the baker will need is 61 plates.

Using this formula

Number of plates=Number of cookies arranged/Each plates number of cookies

Where:

Number of cookies arranged=487

Each plates number of cookies=8

Let plug in the formula

Number of plates=487/8

Number of plates=60.9

Number of plates=61 plates (Approximately)

Inconclusion the number of plates that the baker will need is 61 plates.

Learn more here:https://brainly.com/question/25130978

Elizabeth recently bought a new bike, and she has started biking to and from work. The
round-trip distance is 9 kilometers.
Write an equation that shows the relationship between the number of round trips, x, and
the total number of kilometers Elizabeth has biked, y.

Answers

Answer:

the answer is  9x

Step-by-step explanation:

y=9x is the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that,

Elizabeth recently bought a new bike, and she has started biking to and from work.

The round-trip distance is 9 kilometers.

We need to find an equation that shows the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.

y=9x

Hence y=9x is the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

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