One number is 13 more than the product of 9 and another number. If the sum of the two numbers is 103, find the two numbers.

Answers

Answer 1

Answer:

x + y = 103 Subtract 2nd from 1st EQ

-10y = -90

y = 9 and x = 94 9%2A9%2B13

and...checking

sum = 103

Step-by-step explanation:

Answer 2

The two numbers are 9 and 94.

What are simultaneous equations?

In mathematics, a set of simultaneous equation, also known as a system of equations or an equation system, is a set of equations for which common solutions are sought.

Let the two numbers be x and y.

Then according to question,One number is 13 more than the product of 9 and another number we have ,

13 + 9x = y  

or,9x - y = -13...(i)

Also,the sum of the two numbers is 103. So we have,

x + y = 103 ...(ii)

Adding equation (i) and (ii) we get,

10x = 90

or, x = 9

Put the value of x in equation (ii), we get

9 + y = 103

or, y = 103 - 9

or, y = 94

Hence the two numbers are 9 and 94.

More about simultaneous equations :

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Related Questions

Find the distance between the points (0,-8) and (8,-3). The answer must be a whole number or a fully simplified radical expression do not round up

Answers

Answer:

The distance in radical expression form is d=[tex]\sqrt{89}[/tex]

Step-by-step explanation:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d=\sqrt{(8-0)^2+(-3-(-8))^2}\\d=\sqrt{(8)^2+(5)^2}\\d=\sqrt{(64)+(25)}\\d=\sqrt{89}\\[/tex]

Give the correct name for
2x3 + 5x

Answers

Answer: x(2x²+5)

please give brainliest if it helped

Danny just submitted his resumé in a response to a job posting. The job posting stated that the job pays $57K annually.

Answers

4,750 dollars a month

f(x) = h•g+1
h(x)= 3(x - 1) – 2(2x + 1
g(x)= 8 + 2(x - 1)

Answers

Answer:

g = y - 1/h

h = −x − 5/x

g = 2x + 6/x

9.6= 1.2b find b please show work
PLEASEEEE

Answers

Answer:

8

Step-by-step explanation:

1.) 9.6=1.2b

2.) 9.6/1.2=1.2b/1.2

3.)b=8

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{b = 8}}}}}[/tex]

Step-by-step explanation:

[tex] \star{ \sf{ \: \: \: 9.6 = 1.2b}}[/tex]

Swap the sides of the equation

[tex] \hookrightarrow{ \sf{1.2b = 9.6}}[/tex]

Divide both sides by 1.2

[tex] \hookrightarrow{ \sf{ \frac{1.2b}{1.2} = \frac{9.6}{1.2} }}[/tex]

Calculate

[tex] \hookrightarrow{ \bold{ \boxed{ \sf{b = 8}}}}[/tex]

The value of b is 8

Hope I helped!

Best regards! :D

~ TheAnimeGirl

The area of a mirror is 225 in.² and it’s with is 13 3/4 inches will the mirror fit in a space that is 15“ x 16“ explain

Answers

Step-by-step explanation:

A = wh

225 in² = (13.75 in) h

h ≈ 16.4 in

No, the mirror is too tall.

What is the LCM of 81000000

Answers

Answer:

you can't there's too many 0's for it to work

Step-by-step explanation:

5/9 × 9/5 × 23/3 =? HELP ME PLZZZ

Answers

Answer:

7.666666667 (non-terminating)

Ben’s age, x, is 3 times his age 12 years ago. Finish the equation, using no spaces

Answers

Given :

Ben's age x is 3 times his age 12 years ago.

To Find :

The  current age of Ben.

Solution :

It is given that current age of Ben is x.

So, his age 12 years ago is (x - 12).

Expressing given condition mathematically , we get :

[tex]x=3(x-12)\\\\x=3x-36\\\\2x=36\\\\x=18\ years[/tex]

Therefore, current age of Ben is 18 years.

Hence, this is the required solution.

this is 7th grade math, pls help

Answers

Answer: C

Step-by-step explanation:

To find b₂, we need to use our algebraic properties to isolate b₂.

[tex]A=\frac{1}{2}h(b_1+b_2)[/tex]               [multiply both sides by 2]

[tex]2A=h(b_1+b_2)[/tex]               [divide both sides by h]

[tex]\frac{2A}{h} =b_1+b_2[/tex]                    [subtract both sides by b₁]

[tex]b_2=\frac{2A}{h}-b_1[/tex]

Now, we know that C is the correct answer.

Answer:C

Step-by-step explanation:

when half of a number is decreased by 24, the result is 95.

Answers

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#2 - Simplify the expression. Type your answer with all lowercase letters and no spaces. * 3h - e + 2h - 5e

Answers

Answer:

5h-6e

Step-by-step explanation:

3h - e + 2h - 5e =

= 3h + 2h - e - 5e

= 5h-6e

Answer:

5h - 4e

Step-by-step explanation:

Add 3h and 2h to get 5h then subtract e from 5e which equals 4e

Hope this helps!

Please Help!!! 10 Points! Brainliest Answer

Answers

The answer is b.) 120 degrees

Answer:

120 degrees

Step-by-step explanation:

It says ABC is similar to MNO, though the shape is smaller, the angle is the same. So the measure of N is 120 degrees

Hope this helps :)

Graph the system below and write its solution. Y=1/2x-1
-2x+y=4
You can answer no solution or infinitely many

Answers

Answer:

x = -3.3333333

y = -2.666666

Step-by-step explanation:

y = 1/2 x - 1

y = 2x + 4 The second equation has the 2x moved to the right side. The y's must be equal so equation the two equations.

1/2x -1 = 2x + 4             Subtract 1/2x from both sides.

-1 = 2x - 1/2 x + 4          Combine

-1 = 1.5x + 4                   Subtract 4 from both sides

-1 - 4 = 1.5x

- 5 = 1.5x                       Divide both sides by 1.5

-5/1.5 = x

x = - 3.333333

Now put x = - 3.333333 into either one of the two given equations. The first one will require one less step, but it does not matter.

y = 1/2 (- 3.3333333) - 1

y = - 1.6666666 - 1

y = -2.6666666

POSSIBLE POINTS: 10
The total distance in inches a toy train moves varies directly with the time in seconds. In 16 seconds, the toy train moves a total distance of 272 inches.
What is the time in seconds the toy train moves when the total distance is 527 inches?

Answers

Answer:

The time in seconds that the toy train moves is 32.9375 or rounded 33 seconds.

Step-by-step explanation:

hope it helps :) brainliest pls

HELP PLEASE ! Due tonight Part 4

Answers

If it were me I’d rather be given y=mx+b because you don’t have to use the graph to calculate slope, you just know that m=slope in the equation

find DF if D is between E and F, ED = 6x-4 , DF =3x+5 and EF= 46

Answers

Answer:

DF= 20

Step-by-step explanation:

6x-4+3x-5=46

then you solve for x (x=5).

then plug it it : 3(5)+5=20

Value of DF is 20 unit

Given that;

ED = 6x - 4

DF = 3x + 5

EF = 46

Find:

Value of DF

Computation:

We know that;

EF = ED + DF

46 = 6x - 4 + 3x + 5

46 = 9x + 1

9x = 45

x = 5

Value of DF = 3x + 5

Value of DF = 3(5) + 5

Value of DF = 15 + 5

Value of DF = 20 unit

Learn more:

https://brainly.com/question/10198048?referrer=searchResults

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find the sum of the series
30
Z = (2k-1)
k=3

Answers

Hope this helped! The answer is z=5
Wait hold on you can send pictures on here !!!!!

is 6>x a open or closed dot​

Answers

Answer:

It will be an open dot.

Step-by-step explanation:

By math textbook states that if a symbol is greater than or less than, it has an open dot.

If it has greater than or less than symbol with a line under it, that means it is a closed dot.

Hope this helps!

Which of the following is the solution to the inequality below? 14 - x)5-4x+ O A. X² B. X C. X 7 13 7 D. x2 13

a. x<_17/13

b x_>7/13

c. x<_7/13

d. x_>17/13

if you could help me that would be great :)​

Answers

[tex]-\frac{6}{5}(4 - x) \leq -4(x + \frac{1}{2} )[/tex]

Let's start off by distributing the [tex]-\frac{6}{5}[/tex] and -4

[tex]-\frac{24}{5} + \frac{6}{5}x \leq -4x - 2[/tex]

Add 4x and [tex]\frac{24}{5}[/tex] to both sides.

[tex]\frac{26}{5}x \leq \frac{14}{5}[/tex]

Divide both sides by [tex]\frac{26}{5}[/tex]

[tex]x\leq \frac{7}{13}[/tex]

ALOT OF POINTSALOT OF POINTS ALOT OF POINTS ALOT OF POINTS ALOT OF POINTS The graph shows the motion of a train on a railroad. Which statement describing the motion of the train is best supported by the graph? Math item stem image CLEAR CHECK The train is traveling on a level surface. The train is moving at a constant positive speed. The train is not moving. The train track is straight.

Answers

Answer:

Step-by-step explanation:

2,3

Answer:

The train is moving at a constant positive speed.

Hope this helped :)

Along the U.S. Atlantic coast, the sea level is rising about 2 millimeters per year. Joe is 13 years old. How many millimeters has sea level risen since Joe was born?

Answers

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A concert hall has seven sections. Each section has 23 rules. Please roll has 14 seats. If the theater sells out pretty particular performance, how many people attended? If the average ticket sold for $20, how much was collected at the box office? Need to write an equation. Thanks

Answers

Answer:

The number of people that attended the performance = 2,254

Amount collected at box office = $45,080

Step-by-step explanation:

For the theater to sell out a performance, it means it was filled to the brim( completely filled)

We have 7 sections, with 23 rows each

The total number of rows will be 23 * 7 = 161 rows

Since each row has 14 seats, the total number of seats will be 161 * 14 = 2,254 seats

Secondly we want to know how much was collected at the box office given the average ticket price

The amount collected at the box office = Number of seats * average ticket price = 2,254 * 20 = $45,080

HELP NEEDED: Will mark Brainliest to best answer!! The center of a dilation is (0,0) and the scale factor is 7. If A(3,4), then which is the distance between A and A prime? A. 5 B. 7 C. 30 D. 35

Answers

Answer:

C. 30

Step-by-step explanation:

Distance formula - [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

The scale factor of 7 is basically saying that the coordinates (3,4) are going to be increased 7 times.

3•7 = 21=x         --> A prime = (21,28)

4•7 = 28=y

[tex]\sqrt{(21-3)^2+(28-4)^2}[/tex]

= [tex]\sqrt{324+676}[/tex]

= [tex]\sqrt{900}[/tex]

= 30

What is the F”
G”
H”
J”

Answers

Answer:

F: 1, -2

G: 3, 1

H: 5, -2

J: 3, -5

Step-by-step explanation:

Hope this helps!!!

I need domain and range for this written in inequality notation please. this is a major grade for me so please i really need help with this the screenshot of the graph is below

Answers

Answer:

Domain = x E R (means x is element of all real number)

Range = y ≤ 3

The ratio table below shows the number of eggs per omelet.
Omelets
Number of eggs
Number of omelets
18
?
9
3
6
2
3
1
How many omelets can be made with 18 eggs?
4
6
9
12.

Answers

Answer:

B(6

Step-by-step explanation:

The number of omelets made by 18 eggs will be 6. The correct option is B.

What is the ratio?

In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number. The fraction is defined as the division of the whole part into an equal number of parts.

The number of eggs required to make the number of omelets is given in the tables as:-

omelets        eggs

    ?                 18

    3                 9    

    2                 6

    1                  3

The ratio of omelets and egg is calculated as:-

omelets: egg = 3 : 9      

omelets: egg = 1:3

The number of the omelets made by 18 eggs will be calculated as below:-

omelets: egg = 1:3

omelets: 18 = 1:3

omelets = 18 x ( 1 / 3 )

omelets = 6

Therefore, the number of omelets made by 18 eggs will be 6.

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Given the functions, f(x) = 3x - 6 and g(x) = x2 + 5x + 7, perform the indicated operation. When applicable, state the domain restriction.

Answers

Answer:

D

Step-by-step explanation:

it is D i did this quiz before.

Emily's Mom sends her into the store with $10, telling her to buy as many apples as possible. If each apple costs 80 cents. how much change (in cents) will Emily receive?​

Answers

Answer:

Emily will receive 40 cents in return

What do u get when you Simplify -4x - x.

Answers

Answer:

-4x? whats the value to x?

Step-by-step explanation:

answer would be -5x.
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