The sum of two numbers is 3. Their difference is 13. Find the numbers.

Answers

Answer 1

Answer:

The numbers are

5

and

8

Step-by-step explanation:

We know:

m

n

=

3

And we know:

m

+

n

=

13

Next, solve the first equation for

m

:

m

n

+

n

=

3

+

n

m

0

=

3

+

n

m

=

3

+

n

Then, substitute

3

+

n

for

m

in the second equation and solve for

n

:

m

+

n

=

13

becomes:

(

3

+

n

)

+

n

=

13

3

+

2

n

=

13

3

+

3

+

2

n

=

3

+

13

0

+

2

n

=

10

2

n

=

10

2

n

2

=

10

2

2

n

2

=

5

n

=

5

Now, substitute

5

for

n

in the solution to the first equation and calculate

m

:

m

=

3

+

n

becomes:

m

=

3

+

5

m

=

8

The solution is:

n

=

5

and

m

=

8

Answer 2

[tex]\text{Let the two numbers be x and y}\\\\x+y=3~~~.....(i)\\\\x-y=13~~~.....(ii)\\\\\text{(i)+(ii):}\\\\x+y+x-y = 3+13\\\\\implies 2x = 16 \\\\\implies x = \dfrac{16}2 = 8\\\\\text{(ii)-(i):}\\\\x-y-x-y=13-3\\\\\implies -2y=10\\\\\implies y= -5\\\\\text{Hence the numbers are }~8~\text{and}~ -5[/tex]


Related Questions

Please help me with this please and thank you

Answers

Answer:

L bozo

Step-by-step explanation:

bc ur an L. ur whole life is an L

find the 24th term of the arithmetic sequence whose common difference is d=5 and whose first term is a1=2

Answers

Answer:

94

Step-by-step explanation:

a1+ 23d =2+23*4= 94

94 is the 24 th term

solve general solutions
[tex] \sqrt{3tan \:} (2x - 10) + 1 = 0[/tex]

Answers

[tex]\\ \rm\Rrightarrow \sqrt{3tan(2x-10)}+1=0[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{3tan(2x-10)}=-1[/tex]

[tex]\\ \rm\Rrightarrow 3tan(2x+10)=1[/tex]

[tex]\\ \rm\Rrightarrow tan(2x+10)=1/3[/tex]

1/3=0.33..tan^{-1}(0.33)≈18

[tex]\\ \rm\Rrightarrow 2x+10=18[/tex]

[tex]\\ \rm\Rrightarrow 2x=8[/tex]

[tex]\\ \rm\Rrightarrow x=4[/tex]

A plane flies the 1580 km from Cairo to Khartoum.
It departs from Cairo at 1155 and arrives in Khartoum at 1403.
Calculate the average speed of the plane, in kilometres per hour.

Answers

speed= distance/ time

= 1580/32/15

=1580/32 ×15

=740.625 km/hrs

time taken by plane:

11:55 - 12:00= 5mins

12:00 - 14:03= 2hrs 3mins

total time:

=5 mins + 2hrs 3 mins

= 2hrs 8 mins

= ( 2 + 8/60) hrs

= 2 + 2/15

= 32/15 hrs

Its easy pls help{6x+4y=14}{9x+6y=c}which value of c represents a system with infinitely many solutions?

Answers

The system of equations 6x+4y=14 and 9x+6y=c are linear equations

The value of c that makes the system have infinitely many solutions is 21

How to determine the value of c?

The system of equations are given as:

6x+4y=14

9x+6y=c

Divide through the second equation by 3

3x + 2y = c/3

Multiply through by 2

6x + 4y = 2c/3

Subtract the first equation from the above equation

6x - 6x + 4y - 4y = 2c/3 - 14

Evaluate the differences

2c/3 - 14 = 0

Add 14 to both sides

2c/3 = 14

Multiply by 3/2

c = 21

Hence, the value of c that makes the system have infinitely many solutions is 21

Read more about system of equations at:

https://brainly.com/question/14323743

The area of a circle is 9 ft. What is the circumference, in feet?

Answers

Answer:

Circumference: 10.63

Hope this helps.

What is the volume of the prism?
N-
cm
1 cm
4 cm
o 1 cm3
O 2 cm3
o 4 cm3
o 8 cm
3

Answers

The answer is 2 cm^3.

To find it you do L x W x H, so 4 x 1 x 0.5

Hope this helps

The volume of the prism is 2 cm³.

Option B is the correct answer.

What is a prism?

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

The volume of the prism:

= Base area x height

Now,

Base area = 4 x 1 = 4 cm²

Height = 1/2 cm

Now,

The volume of the prism.

= 4 x 1/2

= 2 cm³

Thus,

The volume of the prism is 2 cm³.

Learn more about prism here:

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what does 7 of one third + 2 and two thirds =

Answers

10 is the answer to your question

Which unit of measure should be used to measure this length? Type the correct
answer.

Use:

yd = yards

mi = miles

the distance from one street corner to the next

Answers

Answer:

Miles or mi

Step-by-step explanation:

This is because measuring the distance from one street corner to the next requires miles. Yards would be too less and would be less convenient.

There is a possibility of converting miles to yards as well.

You just have to multiply the miles by 1760 to get the right units.

please help me with A, B, and C

Answers

Answer:

A. 120 ft

B. 119

C. 2100 ft

Step-by-step explanation:

A. (Slipt the shape into 2 parts so it will be simpler)

For the triangle : 1/2 (4x12)

And for the rectangle : 12x8

1/2 (4x12) = 24

12 x 8 = 96

24 + 96 = 120 ft

_________________________________

B. (this time we can split it into 3 parts)

Longer rectangle : 12x6

Short rectangle : 5x5

Triangle : 1/2 (4x11)

LR : 12x6 = 72

SR : 25

T : 1/2 44 = 22

72+25+22 = 119

______________________________________

C. (Like the first one, we can split it into 2 parts)

Rectangle : 50x30

Triangle : 1/2 40x30

R : 1500

T : 1/2 1200 = 600

1500 + 600 = 2100

Hope this helps :)

I don’t understand what to do and I’m having trouble with working it.

Answers

Answer:

y=112

Step-by-step explanation:

If x=3.5 and y=14, you would divide 28 by 3.5 to get 8. Since x and y are directly proportional, you would times 14 by 8 to get y=112.

A coconut falls from the top of a tree and reaches a velocity of 19.6 m/s when it hits the ground. it takes two seconds to reach the ground. what is the coconuts acceleration?

Answers

Using the velocity formula, it is found that the acceleration is of a = 9.8 m/s².

What is the velocity formula?

It is given by the initial velocity plus acceleration multiplied by time, that is:

v(t) = v0 + at.

In this problem, we have that v(0) = 0, t = 2, v(2) = 19.6, hence:

v(t) = v0 + at.

19.6 = 0 + 2a.

2a = 19.6.

a = 19.6/2.

a = 9.8 m/s².

The acceleration is of a = 9.8 m/s².

More can be learned about the velocity formula at https://brainly.com/question/26408808

Guys guys GUYS guys guYs HELPhelp helppp

Answers

Answer:

A is 3 x 3 = 9 so thats one multiple and the ones that have the same put in the middle

Step-by-step explanation:

Please Help Fast!!!
Solve the system of equations:
25−x=−4y
3x−2y=30

Answers

Answer:

{x,y} = {7,-9/2}

Step-by-step explanation:

System of Linear Equations entered :

 [1]           25-x=-4y

 [2]           3x-2y=30

Equations Simplified or Rearranged :

  [1]    -x + 4y = -25

  [2]    3x - 2y = 30

Graphic Representation of the Equations :

   4y - x = -25        -2y + 3x = 30  

 

Solve by Substitution :

// Solve equation [1] for the variable  x

 [1]    x = 4y + 25

// Plug this in for variable  x  in equation [2]

  [2]    3•(4y+25) - 2y = 30

  [2]    10y = -45

// Solve equation [2] for the variable  y

  [2]    10y = - 45

  [2]    y = - 9/2

// By now we know this much :

   x = 4y+25

   y = -9/2

// Use the  y  value to solve for  x

   x = 4(-9/2)+25 = 7

Solution :

{x,y} = {7,-9/2}

Answer:

x=7, y=-4.5 or (7, -4.5)

Step-by-step explanation:

Hi there!

We are given the following system of equations:

25-x=-4y

3x-2y=30

Before we do anything, let's move our x and y values to one side, while keeping the numbers on the other side

So for 25-x=-4y, start by adding 4y to both sides

25-x=-4y

  +4y  +4y

_____________

25 + 4y - x = 0

Now subtract 25 from both sides

4y - x = -25

Now the system is this:

4y-x=-25

3x-2y=30

We can solve this equation by substitution, where we solve one of the equations for one of the variables, and then use the expression that the variable is equal to, in order to find the value of the other variable. Then, once the value of that variable is found, use that value to find the value of the first variable.

Start with 4y-x=-25

Subtract 4y from both sides

-x=-4y-25

Now multiply both sides by -1

x=4y+25

Substitute 4y+25 as x in 3x-2y=30

3(4y+25)-2y=30

Multiply

12y+75-2y=30

Simplify

10y+75=30

Subtract 75 from both sides

10y=-45

Divide both sides by 10

y = -4.5

Now substitute -4.5 as y in x=4y+25

x=4(-4.5)+25

Subtract

x= -18 +25

x= 7

The answer is x=7, y=-4.5. As a point, it's (7, -4.5)

Hope this helps!

See more on solving systems of equation here: https://brainly.com/question/24420448

**PLS HELP BRAINLIEST**

Answers

Answer:

x < 10

Step-by-step explanation:

the dot isn't colored in, meaning that x could not equal 10, and the graph goes left, meaning that x is less than 10.

Answer:

x<10

Step-by-step explanation:

Since the inequality doesn't have the circle filled in it is not a less than or equal to and since this is on the 10 this would be x<10

What is special about the triangle that forms the yield sign ?

Answers

Answer:

Step-by-step explanation:

Just as the “stop sign” uses its 8 sides to communicate about “sharing the stop in all directions”, the yield sign’s 3 sides communicate as well. That triangle communicates that things’ll get tighter and tighter for you, as you move up. It’s sort of implicit - your space is going away. You need to stop and yield to others whose space hasn’t gone away.

-lukelaws

please brainiest in almost another level up!

What is the range?????? 100pts and

Answers

Answer:

the range is 8

Step-by-step explanation:

the range is the highest value number minus the lowest value number. You can find that by the whiskers of the box plot which are 10 and 2. 10 minus 2 is 8.

Please mark as brainliest

Answer:

8 is the answer

Step-by-step explanation:

What is the approximate surface area of the figure? Use 3.14 for pi. 65.72 cm² 113.04 cm² 37.68 cm² 75.36 cm²

Answers

113.04 cm²

==========

The figure given is a sphere with a radius of 3 cm

formula for surface area of sphere : 4πr²

Solve:

⇒ 4πr²

⇒ 4(3.14)(3)²

⇒ 113.04 cm²

113.04 cm²

Solving it:

The SA given is 4πr²

To get your answer

First, you multiply these

4πr²

Add/ Plug-in the radius:

4(3.14)(3)²

And this is your answer:

113.04 cm²

I have attached an image showing this is the correct answer!

Aida bought a flower rug for her bedroom, as shown below.


Note: Figure is not drawn to scale

If a = 12 in, which of the following is closest to the area of the rug?
A.
298.08 in2
B.
257.04 in2
C.
334.08 in2
D.
370.08 in2

Answers

I think b but I’m not 100 percent sure I’m right

PLEASE HELP WILL GIVE BRAINLIEST 3-4 pls do both

Answers

Answer:

first question: 24/40

second question: 36/5

Answer:

3. 24/5
4. 36/5

Step-by-step explanation:

For number 3, we can find the answer by multiplying 3/5 by 8, because the rabbits ate 3/5 of the celery in each garden. That's 3/5 eight times.

3/5 · 8/1 = 24/5

For number 4, we apply the rules of multiplication and solve A whole number can turn into a fraction by adding one as the denominator. Next, simply multiply the numerators by the denominators.

12/1 · 3/5 = 36/5

hope this helps!

Select the expression that is equal to 3(7+x)



13x


21+4x


21+3x


10+3x


10+4x


I don't know

Answers

Answer:

21 + 3x

Step-by-step explanation:

3(7 + x) ← multiply each term in the parenthesis by 3

= 21 + 3x

A committee of four people needs to be chosen. There are three men and five women available to serve on the committee. If the committee members are randomly chosen, what is the probability that two of the four people chosen on the committee are women? a) 0.518 b) 0.429 c)0.215 d) 0.322

Answers

Answer:

D

Step-by-step explanation:

i need help will give points no scam just please give me the answers and we will both be on our way please no scamming cause its annoying also this is eighth grade math work

Answers

Answer:

BA

Step-by-step explanation:

FREE BRAINLIEST IF CORRECT - EZ QUESTION: Write the equation for the parabola that has x− intercepts (−2,0) and (−5,0) and y− intercept (0,−4).

Answers

Answer:

y = -2/5x^2 - 14/5x  - 4

Step-by-step explanation:

y = a(x + 2)(x + 5)

At y intercept:

-4 = a(2)(5)

10a = -4

a = -2/5.

So the equation is

y = -2/5(x + 2)(x + 5)

y = -2/5(x^2 + 7x + 10)

y = -2/5x^2 - 14/5x  - 4

Alex is playing a game
where he gets 8 points
8
every time his ball hits the
target. He gets an extra 8
points every time his ball
hits the target 8 times in a
row. How many points will
Brady receive if he hits the
target 8 times in a row?

Answers

Answer:

72 points

Something important to note is that 8 is the constant,

If you can get 8 each time that would be the same as doing 8+8+8...

If he hits it 8 times in a row, that means the constant was being multiplied 8 times, 8+8+8+8+8+8+8+8=64

The problem also states that if he hits it 8 times in a row you add 8 more points.

64+8=72

Therefore, the answer is 72

There are 72 points Brady receive if he hits the target 8 times in a row.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Alex is playing a game where he gets 8 points 8 every time his ball hits the target.

And, He gets an extra 8 points every time his ball hits the target 8 times in a row.

Hence, Number of points Brady receive if he hits the target 8 times in a row is,

⇒ 8 x 8 + 8

⇒ 64 + 8

⇒ 72

Thus, There are 72 points Brady receive if he hits the target 8 times in a row.

Learn more about the multiplication visit:

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Will give 20 points for who answer!

Answers

Answer:

Equation: y + 1 = -2(x - 0)        OR        y + 3 = -2(x - 1)

Slope: -2

Y-intercept: (0, -1)

Step-by-step explanation:

First, create an equation in point-slope form using ONE point. Using (0,-1):

y - y1 = m(x - x1)

y + 1 = m(x - 0)

Then, use both points to find slope:

[tex]\frac{y2-y1}{x2-x1} =m[/tex]

[tex]\frac{-1-(-3)}{0-1}[/tex]

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

Then, plug the slope into the equation and rewrite in the form of y=mx+b:

y + 1 = (-2)(x - 0)

y + 1 = -2x

y = -2x - 1

-1 = b      OR      (0, -1)      

Final answers:

Equation: y + 1 = -2(x - 0)      OR       y + 3 = -2(x - 1)

Slope: -2

Y-intercept: (0, -1)

I hope this helps!

help please??? and thank you! <33​

Answers

The answer is 90.7
Good luck ♡

Answer:

90.69 Rounded to the nearest tenth is 90.7

Step-by-step explanation:

✓  Rounded to the nearest 0.1 or

the Tenths Place.

✓  Hopefully this helps you! :)

wishing you a amazing day! ・゚★,。・

-Keira <33

Marco picked 8 1/2
pounds of apples at an orchard last weekend. He used 1/2
of the apples to make a pie for a party. Then, he used 3 1/8
pounds of apples to make applesauce. How many pounds of apples does Marco have left?

Answers

Answer: 4 [tex]\frac{7}{8}[/tex] pounds of apples

Step-by-step explanation:

     We will subtract the apples used from the original pounds of apples to solve this question. First, I will turn all units into eighths to subtract.

8 1/2 -> 8 4/8

1/2 -> 4/8

3 1/8 -> 3 1/8

     Next, I will subtract and simplify as I go.

8 4/8 - 4/8 - 3 1/8

8 - 3 1/8

8 - 3 = 5, 5 - 1/8 = 4 7/8

   Marco has 4 7/8 pounds of apples left.

20
у
x
120
What is the answer?

Answers

Step-by-step explanation:

120° + 20° + x = 180° ( sum of interior angle. of triangle is 180°)

140° + x = 180°

x = 180° - 140°

x = 40°

Now

y + x = 180° ( supplementary angle)

y + 40° = 180°

y = 180° - 40°

y = 140°

The angle measure of y is 140°.

What is an angle measure?

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Given:

The three angles of a triangle are 120°, 20° and x.

And we know,

the sum of the interior angle of the triangle is 180°.

120° + 20° + x = 180°

140° + x = 180°

x = 180° - 140°

angle measure of x = 40°

Now:

Here, x and y are supplementary angles.

Supplementary angles are two angles whose measures add up to 180°

y + x = 180°

y + 40° = 180°

y = 180° - 40°

y = 140°

Therefore, the value of y is 140°.

To learn more about the angle measure;

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help i need the awnser

Answers

Answer:

5 cm. Assuming the shape only has right angles.

Step-by-step explanation:

16-11=missing side

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