The sum of two numbers is 9. If one number is subtracted from the​ other, the difference is −3. Find the two numbers.

Answers

Answer 1

Answer:

The numbers are 6 and 3

Step-by-step explanation:

Let the numbers be x and y

So their sum is x + y =9 (EQ. 1)

Their difference is x - y = -3 (EQ. 2)

Solve simultaneously using subtract method.

x-x=0, x is eliminated. y- -y = +2y since -x- is +.

so it is now 2y = 9- - 3:. 2y= 12; dividing both sides by 2. Y=6.

Substitute Y=6 in EQ 1 to find x.

So x + 6=9;. x=9-6 is achieved by collecting like terms. so x=3.

:. Y=6 and x=3. The numbers are 6 and 3

I think I was able to expantiate it well.


Related Questions

A triangular prism has faces.​

Answers

Answer:

5

Step-by-step explanation:

Answer:

The answer above is correct, a triangular prism has 5 faces.

Step-by-step explanation:

Count the faces that it has.

A city has the population of 210,000 people. Suppose that each year the population grows by 7.5%. What will the population be after 13 years?

Answers

Answer:

6  5

Step-by-step explanation:

4 5  6 7

377?.378f5885246799448855

Answers

Answer:

Wwhatwhatwhatwhatwhat

Step-by-step explanation:

Answer:

What?

Step-by-step explanation:

You must have smacked your keyboard

377?.378f5885246799448855

What is the volume, in cubic centimeters, of a cube with an edge length of 15 centimeters?

Answers

Answer:

3375cm

Step-by-step explanation:

because it is asking for volume it is cubed

wich 15 x 15 x 15 3 times equals volume of cube hope that makes sense

A rectangular playing field at a scale of 1:1000, 100m

Answers

Answer:

0.1

Step-by-step explanation:

1cm:1000cm

100m=10000cm

so if 1cm=1000cm what about 10000cm

=0.1

9. The sum of 10 and 7 times a number is 59. What is the
number? (Use n as the variable.)

Answers

10+7n=59
7n=59-10
7n=49
n=49/7
n=7

Answer:

7

Step-by-step explanation:

Let,

The number be = n

According to the question,

First 7 times of n = 7n

Sum of 10 and the number = 7n + 10

Said that,

The sum of 10 and 7 times of the number is 59.

Therefore,

By the problem ,

=> 7n + 10 = 59

=> 7n = 59 - 10

=> 7n = 49

[tex] = > n = \frac{49}{7} [/tex]

=> n = 7

Hence,

The required number is 7 (Ans)

Need the answer fast

Answers

Your answer should be 97 bb

Answer:

97

Step-by-step explanation:

hope this helps :)

If you invested $2000 in an account that paid 8% annual interest compounded quarterly, how much would the account be worth in 10 years?

Answers

Answer:

4,317.85

Step-by-step explanation:

Answer:

$1600

Step-by-step explanation:

8 = 0.08%   Turn the percent to a decimal

2000 / 0.08 = 160    Divide it by 2000

160 * 10 = 1600    Mutiply by 10

Have a good day    

                               

Solve the quadratic equation 2x2 = 5x + 9. <33 please besties

Answers

Answer:x=-1

Step-by-step explanation:

whats the absolute value of 23

Answers

-23



the absolute value is its opposite

Answer:

-23

Step-by-step explanation:

What is this number in standard form? (5×1,000)+(9×1)+(2×1/10)+(6×1/1,000)

Answers

Answer:

5009.206

Step-by-step explanation:

The answer is 5009.206. We see that the first portion of this question asks, "(5×1,000)+(9×1)". 5x1000 is 5000. 9x1 is 9. 5000+9= 5009. The second portion of this question asks for the numbers that go after the decimal. 2x1/10 is 2/10. 6x1/1000 is 6/1000. The decimal place stands for one. So we do .206. If the decimal stands for ones that means in this case the 2 is in the tenths place (like it should be since the question asks for 2/10) and the 6 is in the 1000 place (like it should be since the question asks for 6/1000). We add this up together and our answer is 5009.206. Hope this explanation helps! Happy learning!

A design engineer wants to construct a sample mean chart for controlling the service life of a halogen headlamp his company produces. He knows from numerous previous samples that this service life is normally distributed with a mean of 500 hours and a standard deviation of 20 hours. On three recent production batches, he tested service life on random samples of four headlamps, with these results SampleService Life (hours) 1495500505500 2525515505515 3470480460470 If he uses upper and lower control limits of 520 and 480 hours, on what sample(s) (if any) does service life appear to be out of control

Answers

Answer:

Sample number 3

Step-by-step explanation:

From the given information:

Sample                   Service life(hours)                Total        Mean(X)

                     1               2            3           4

1                 495         500       505       500       2000        500

2                 525         515       505       515         2060        515

3                 470         480       460       470        1880          470

Total = [tex]\text{addition \ of \ numbers \ of \ observations}[/tex]

Mean = [tex]\dfrac{\text{addition \ of \ numbers \ of \ observations}}{4}[/tex]

Thus;

[tex]UCL = \mu+x = 500 + 20 = 520\\ \\ LCL= \mu -x = 500 -20 =480[/tex]

To plot on an X_Bar chart, we have:

Sample        Mean (X)     UCL        LCL

1                      500           520        480

5                     515            520        480

6                     470            520        480

The x-Bar chart is shown in the image attached below. From the image, we realize that the average service life for sample number 3 occurs to be out of the statistical control.

The midpoint of AB is M(1,-2). If the coordinates of A are (-3, -8), what are the coordinates of B?​

Answers

9514 1404 393

Answer:

  B(5, 4)

Step-by-step explanation:

The midpoint formula is ...

  M = (A +B)/2

Solving for B gives ...

  B = 2M -A

  B = 2(1, -2) -(-3, -8) = (2+3, -4+8) = (5, 4)

The coordinates of B are (5, 4).

#3 please Question Is in the photo above please help me extra points will be given

Answers

Answer:

the answer to the problem is d

the answer is D please thank me:) i need points

Which of the following is an equation?

Answers

Answer:

B) y/9 = 3

Step-by-step explanation:

What makes an equation is that two things are equal. It consists of two expressions, one on each side of an 'equals' sign.

Only choice B does that

An item originally costs $49.95 and is on sale for 33% off the original price. The sales tax is 5.75%. Find the cost of the item.

Answers

Answer:

$35.39

Step-by-step explanation:

Solve using the substitution method:

6x + y =15
4x + 3y = 31

Answers

Answer:

the answers to this are x= 1 and y= 9

A baby fish was 1.5 centimeters in length when it first hatched . The fish grew at a rate of 0.25 centimeter per week.
Which graph best shows this relationship between the length of the fish in centimeters , y, and the time in weeks, x?

Answers

If you think about I would suggest B only because it makes more sense but I might be wrong..

Hope this helped a little!

The solution is Option A.

The equation of line is y = 0.25x + 1.5 , where the slope m = 0.25

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , the value of A is

The initial length of the baby fish is b = 1.5 cm

The baby fish grew at a rate of 0.25 centimeter per week

So , the slope of the line m = 0.25 cm

And , equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

Substituting the values in the equation , we get

y = 0.25x + 1.5   be equation (1)

Hence , the equation of line is y = 0.25x + 1.5

To learn more about equation of line click :

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-7x-13 >(or equal) 8

Answers

Answer:

x ≤-3

Step-by-step explanation:

WILL MAKE BRAINLIEST

write the slope intercept form of the equation of each line

Answers

Answer:

1) D) y = 2x+3

2) B) y = -3/2(x)-5

Step-by-step explanation:

answer this please thanks

Answers

Answer:

4. c

6. e, a

Step-by-step explanation:

Hopefully, it correct

For the function g(x) = 10 VX-2, what is the inverse function?
o pr}(X) = 7+2
O q'(x) = -2
O 0760) = (+)+2
O 011(x) = (+) --

Answers

Answer:

[tex]g'(x) = \frac{x^2}{100} +2[/tex]

Step-by-step explanation:

Given

[tex]g(x) = 10\sqrt{x - 2[/tex]

Required

Determine the inverse function

[tex]g(x) = 10\sqrt{x - 2[/tex]

Replace g(x) with y

[tex]y = 10\sqrt{x -2[/tex]

Swap the positions of x and y

[tex]x = 10\sqrt{y -2[/tex]

Divide through by 10

[tex]\frac{x}{10} = \sqrt{y - 2[/tex]

Square of both sides

[tex]\frac{x^2}{100} = y - 2[/tex]

Make y the subject

[tex]y = \frac{x^2}{100} +2[/tex]

Replace y with g'(x)

[tex]g'(x) = \frac{x^2}{100} +2[/tex]

Hence, the inverse function is: [tex]g'(x) = \frac{x^2}{100} +2[/tex]

PLEASE HELP

A town has a population of 40,000 persons.
There are 6000 school-age children in the
town. What is the ratio of the school children
to the total population?

And please add the formula or how you did it

Answers

Answer:

3:20

Step-by-step explanation:

6000:40,000

find HCF (2000)

divide both sides by 2000

3:20

Please help! What is the volume? Answer and explanation please! <3 (No links please..)

V = ____ pi inches cubed

Answers

9514 1404 393

Answer:

  562.5π in³

Step-by-step explanation:

The volume of a sphere is given by the formula ...

  V = 4/3πr³

where r is the radius, half the diameter.

  V = (4/3)π(7.5 in)³ = 562.5π in³

Quick!! Find the area of the composite figure

Answers

Answer:

560 sq ft

Step-by-step explanation:

Let's start with the rectangle

20 x 24 =

2(24) * 10 =

48 * 10 = 480

Now the triangle

8 x 1/2(20 = 8x10 = 80

480 + 80 = 560 sq ft

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

The radius of a cylindrical construction pipe is 1.5 ft. If the pipe is 17 ft long, what is the volume?

Use the value 3.14 for π and round your answer to the nearest whole number.

Answers

Answer:

120.105 square feet.

Step-by-step explanation:

Given that the radius of a cylindrical construction pipe is 1.5 ft, to determine its volume, given that the pipe is 17 ft long, the following calculation must be performed, knowing that the volume of a cylinder arises from multiplying the number pi by the radius at square of the cylinder, and that result by the height of it:

(3.14 x (1.5^2)) x 17 = X

(3.14 x 2.25) x 17 = X

7.065 x 17 = X

120.105 = X

Thus, the volume of the cylinder is 120.105 square feet.

Determine whether the point (7,4) is on the circle, or inside or outside the circle x^2+y^2=62

Answers

Answer:

Outside.

Step-by-step explanation:

7^2 + 4^2 = 62

65 does not equal 62 so outside of the circle.

You are surveying students to find out their opinion of the quality of food served in the school cafeteria. Which of the following samples would be random?​

Answers

Answer:

aint random

Step-by-step explanation:

The sample is not random. For being a random sample opinion of all the students must be taken whether they are eating hot lunch or not.

What is a Random Sample?

A random sample is a subset of a statistical population where "each subset member has the same probability of being picked". A random sample is meant to accurately reflect a group of people.

Random sampling is used in science to conduct blinded studies or randomized control testing.

This sample cannot be called a random sample. This is because a "random sample is an unbiased representation of the group and here we have not taken the opinions of the students who don’t eat hot lunch". So this sample can’t be a random one.

Learn more about random sample here:

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claire is writing a report about kangaroos. the report must be two full pages. if she can fit 20 lines on each page with about 20 words per line, approximately how many words in all will claires report be?

Answers

Answer:

800

Step-by-step explanation:

20 lines per page with 20 words per line means 400 words per page

2 pages means 400 x 2 which is 800 words

What is the complementary angle
of 65 degrees

Answers

The angle of 25° is the complement of the angle of 65° and the angle of 65° is the complement of the angle of 25°.

Answer:

25°

Step-by-step explanation:

Two angles are complementary if the sum of the angle measures add up to (90) degrees. To find the complementary angle of a given angle, subtract the given angle from (90) degrees, the result will be the complementary angle.

(90) - (65) = (25)

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