There are two numbers, one is 7 more than twice the other. The sum of the numbers is 43. Make the equation to find the smaller number. Find the two numbers. Answer: If the smaller number is x, the equation will be . The numbers in ascending order are:
BRAINLIEST IF CORRECT

Answers

Answer 1

Answer:

Smaller number: 12

Greater number: 31

Step-by-step explanation:

Hi there!

Let x equal to the smaller number.

Let y be equal to the greater number.

1) Translate the information into equations

"One is 7 more than twice the other"

⇒ [tex]y=2x+7[/tex]

"The sum of the numbers is 43"

⇒ [tex]x+y=43[/tex]

2) Use substitution to solve for the smaller number

[tex]x+y=43[/tex]

Plug the equation [tex]y=2x+7[/tex] into the above equation

[tex]x+(2x+7)=43\\x+2x+7=43\\3x+7=43[/tex]

Subtract both sides by 7

[tex]3x+7-7=43-7\\3x=36[/tex]

Divide both sides by 3 to isolate x

[tex]\frac{3x}{3} = \frac{36}{3} \\x=12[/tex]

Therefore, the smaller number equates to 12.

3) Use substitution to solve for the greater number

[tex]x+y=43[/tex]

Plug in x as 12

[tex]12+y=43[/tex]

Subtract both sides by 12 to isolate y

[tex]12+y-12=43-12\\y=31[/tex]

Therefore, the greater number equates to 31.

I hope this helps!


Related Questions

A package if sugar cubes has a length of 7 cm a height 3 cm and a with of 12 cm what is the volume of the pagage

Answers

Answer:

252 cm^3

Step-by-step explanation:

The volume of a rectangular prism is denoted by the formula:

V = lwh

We can substitute in the values to get:

V = 7 x 12 x 3

V = 252 cm^3

What is the solution to 2 x minus 8 less-than 12?

Answers

Answer:

X less than 10

Step-by-step explanation:

The problem is set up 2x - 8 < 12

So add 8 to both sides to get 2x <20, and then divide by 2 to get x < 10

Answer:

x< or = 9

Step-by-step explanation:

if you try to fill in the equation, the highest you can go without equaling or surpassing 12 would be 9.

2(10)-8=12 but

2(9)-8=10

I really hope this helps, i am sorry if i misunderstood the question....

simplify. please do it now i need help

Answers

Answer:

1/243 or 0.00411522…

1/243
Decimal form:
0.00411522

Please help!!!!!!!!!!ASAP!!!

In triangle abc ma=70 and mb=35, Select the triangle that is similar to triangle ABC

Answers

Answer:

Its D!

Step-by-step explanation:

all you have to do for the triangles  to  be simialr is  they have to add up to the same  number.

In triangle abc ma=70  and mb=35  add those  gives you 105

and  in  triangle mnp and M<N =70   which  also gives you 105

since u get the same answer    their similar!

Hope this helps!

On Saturday, a gymnast walked a distance of x miles. On Sunday, the gymnast walked half the distance that he walked on Saturday. ​Which expression represents the total number of miles the gymnast walked on Saturday and Sunday?

Answers

Answer: See explanation

Step-by-step explanation:

From the information given, we are told that on Saturday, the gymnast walked a distance of x miles while on Sunday, the gymnast walked half the distance that he walked on Saturday. ​

Therefore, the expression that represents the total number of miles the gymnast walked on Saturday and Sunday will be:

= x + (½ × x)

= x + ½x

= 1½x or 1.5x

A snack food company is increasing it's product size by 20%. If the original container held 10 ounces of product, how many ounces will the new container hold?

PLEASE EXPLAIN HOW TO DO IT

Answers

Answer:

12 (step by step is below)

Step-by-step explanation:

20% can be rerwitten as 1/5 or .20

since yous container holds 10 ounces you multiply by 1.20 (1 + amount of change) 10 x 1.2 = 12

- Gage Millar, Algebra 2 Tutor

PT= 4x+6 and TQ=9x-9 find the values of x and PT . Please help me I’m stuck

Answers

X=3
PT=18

Steps:
4x+6=9x-9
Add 9 to 6 and subtract 4x from 9x
15=5x
3=x
Plug 3 into equation
12+6=18

A circle has a diameter of 8 meters. What is the circumference? Use 3.14 for Pi. Show your work.

Answers

Answer: 50.27 m

Step-by-step explanation:

[tex]A=\pi r^2\\A=\pi 4^2\\A=50.27[/tex]

Hope this helped! ;)

The circumferance of the given circle is C = 8π.

What is a circle?A circle is a shape consisting of all points in a plane that are at a  constant distance from a given point called the center. Equivalently, it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant.The general form of the equation of a circle is:

        x² + y² + 2gx + 2fy + c = 0.

The standard equation of a circle is -

        (x - x₁)² + (y - y₁)² = r²

The parametric equation of circle can be written as -

        x² + y² + 2hx + 2ky + C = 0 where x = - h + rcosθ and y =  - k + rsinθ.

Given is a circle that has a diameter of 8 meters.

We can write the circumferance of the circle as -

C = 2πr

C = 2π (d/2)

C = 2π (8/2)

C = 8π

Therefore, the circumferance of the given circle is C = 8π.

To solve more questions on circle, visit the link below -

https://brainly.com/question/28642423

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A. What are the coordinates of the vertices of the triangle below?
B. Find each side length.
C. Classify the figure. Use coordinate geometry (i.e. Pythagorean Theorem, distance formula,
slope formula, etc.) and properties of triangles to justify your response.

Answers

Answer:

Solution given:

A.coordinate are

A(-2,3)

B(0,-3)

C(4,5)

B.Each length are :

we have

length [tex] \sqrt{(x2-x1)²+(y2-y1)²} [/tex]

now

AB:[tex] \sqrt{(-2-0)²+(3+3)²} [/tex]=[tex] 2\sqrt{10} [/tex]units

BC:[tex] \sqrt{(0-4)²+(-3-5)²} [/tex]=[tex] 4\sqrt{5} [/tex]units

AC:[tex] \sqrt{(-2-4)²+(3-5)²} [/tex]=[tex] 2\sqrt{10} [/tex]units

C. the figure:

By using Pythagoras law

base[b]=AB=perpendicular [p]=AC

hypotenuse [h]=BC

we have

h²=p²+b²

substituting value

([tex] 4\sqrt{5} [/tex])²=2p²

16*5=2*([tex] 2\sqrt{10} [/tex])²

80=2*4*10

80=80

SO IT IS RIGHT ANGLED ISOSCELES TRIANGLE.

I will mark you brainlist!

Answers

We know that we have 3 even numbers out of 8 numbers, and we know that we spin it 48 times. So a reasonable prediction of getting a even number is 3/8 x 48= 18 times.

It will land on an even number 18 times.

Select the correct answer.

What is the measure of the indicated central angle ?



A.
40°
B.
80°
C.
60°
D.
20°
E.
None of the above

Answers

Answer:

the answer is E. none of the above

1. Find 2 arithmetic means between 12 and 21.​

Answers

I believe it would be 16.5, since you add 12+21=33 then divide it by however many numbers you have (this case it’s 2) and divide it by 2, which equals 16.5

PLEASE HELP ASAP NO TROLLING PLEASE. HELP FIND MISSING TERM

Answers

Answer:

-3x is the answer

Step-by-step explanation:

Answer:

-3x

Hopefully this helps lol

Which summation formula represents the series below?
13 + 9 + 5 + 1

Answers

The answer is 28 ......



Zzzzz

∑(17-4n) is the summation formula represents the series 13 + 9 + 5 + 1.

What is Series?

A series is the cumulative sum of a given sequence of terms.

The given expression is 13 + 9 + 5 + 1

The terms of this series are 13,9,5,1

It is an AP. Here, first term is 13 and common ratio is -4.

The nth term of an AP is

aₙ=a+(n-1)d

=13+(n-1)(-4)

=13-4n+4

=17-4n

The summation formula of an Arithmetic progression is

∑aₙ

The value of n is 4 because the number of term is 4. So, the summation formula is

∑(17-4n)

Hence ∑(17-4n) is the summation formula represents the series

13 + 9 + 5 + 1.

To learn more on series click:

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please I NEED HELP thank u, if u want to spam my answer then I will report u thank u.

Answers

a- 354.3
b- 1350
c- 553

Which shows the use of a credit card
A. Ryan entered his PIN to complete a transaction.
B. Ryan overdrew his checking account.
C. Ryan bought groceries and paid for them at the end of the month.
D. After making a purchase, Ryan recorded the information in his check register.

Answers

C is what you do when credit cards are involved.

What is the total surface area of the pyramid?

Answers

Answer:

16.64911

Step-by-step explanation:

Answer:

area of the regular pyramid is =T.S.A=12pl+B is the formula for this question

BRAINLIEST + 10 POINTS

Answers

Answer:

area-  628    

circumference- 62.8

please help! picture attached

Answers

Answer:

you on iready?

Step-by-step explanation:

Answer:

Can you reattac the picture because I can’t see it then I will be able to help u

Step-by-step explanation:

Somebody please help.

Answers

the answer to the question is c

Shelby asked 15 friends to name their favorite ice-cream flavor.
If Shelby chooses one of her friends at random, what is the probability that this friend’s favorite flavor is either strawberry or vanilla?

Answers

Answer:2/5

Step-by-step explanation: because 6 people in total like strawberry or vanilla so you get the probabliluty of 6/15 and when you simplify it you get 2/5

Find the measure of

Answers

Answer:

v=y=28°,w=x=152°( both are vertically opposite angles)

Josie is creating 5 music playlists for her dance classes. She will use a total of 60 songs. Each playlist will have 7 older songs and the same number of newer songs.

Part A

Create an equation that can be used to determine the number of newer songs, n, Josie will have on each playlist.

Enter your equation in the box.

Answers

Answer: 60=5(7+x)

X= 5

Step-by-step explanation:

60 is the total amount of songs so it’s going to be divided into 5 different playlists. And those playlists are going to have 7 older songs plus the amount of new songs.

D o I p l a y M i n e c r a f t o r, F o r t n i t e?

Answers

Answer:

mine craft

Step-by-step explanation:

The length of a rectangular map is 37,5 cm and the perimeter is 125 cm. Find the width​

Answers

Let the length of the map be L Cm.

Hence, L = 37.5 Cm

Now, Let the width of the map be B.( Breadth )

Now, we know that perimeter of a rectangle

= 2 ( L + B )

According to the question–

125 = 2 ( L + B )

{ Putting the value of L we get }

Or, 125 = 2 ( 37.5 + B )

Or, 125/2 = 37.5 + B

Or, 62.5 = 37.5 + B

Or, 37.5 + B = 62.5

Or, B = 62.5 – 37.5

Or, B = 25 Cm

Therefore, the Width of the rectangle is 25 Cm.

calculate the kinetic energy of a man of mass, 50kg moving with an average speed of 15m/s​

Answers

pretty sure it would be Ke= 5625 j

Jaya has 26 hockey cards. Jaya has 1 fewer than 3 times the number her brother, Kumar has. How many cards does Kumar have? Form an algebraic equation and solve this question.

Answers

Answer:

The correct answer to the problem is 9

Step-by-step explanation:

3 x- 1 = 26

3 x = 27

x = 9

PLEASE HELO PRE CALC PEOPLE
Use these parametric equations to answer the question below.

x=t-2
y=t^2

The order pair associated with t-value of -1 is?

Answers

Answer:

The ordered pair associated with a t-value of -1 is (-3, 1).

Step-by-step explanation:

Substitute the t-value, or -1, into both of the equations to find the pairs.

x = t - 2

x = (-1) - 2

x = -3

y = t^2

y = (-1)^2

y = 1

The ordered pair associated with a t-value of -1 is (-3, 1).

please answer to the best of your ability

Answers

Answer:

C:reflection accross the x axis

Step-by-step explanation:

Special right triangles

Answers

Answer:

6sqrt(3)

Step-by-step explanation:

Using pythagoras theorem

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