The sum and difference of two positive numbers are 15 and 5 respectively. Find the numbers.​

Answers

Answer 1

[tex]x+ y =15~~...(i)\\\\x-y = 5~~...(ii)\\\\\text{(i) +(ii):}\\\\x+y+x-y = 15+5\\\\\implies 2x = 20\\\\\implies x = \dfrac{20} 2 = 10\\\\\text{(i)-(ii):}\\\\x+y -x +y = 15 -5\\\\\implies 2y = 10\\\\\implies y=\dfrac{10}2 = 5\\\\\text{Hence the numbers are 10 and 5}[/tex]


Related Questions

part 2 of Question please help me
and thank you for your help

Answers

1 tick represents 8 units

If measure of angle 3 = 74° find each measure NEED HELP ASAP

Answers

Angles 1,2,3,4 will all equal 74°

Why are the two houses of Congress a compromise? How did this address the concerns of both groups?

Answers

Answer:

To balance the interests of both the small and large states, the Framers of the Constitution divided the power of Congress between the two houses. Every state has an equal voice in the Senate, while representation in the House of Representatives is based on the size of each state's population.

Step-by-step explanation:

25 POINTS! Plz help me!

Answers

Answer:

2nd option

Step-by-step explanation:

The standard form of an exponential function is

y = a[tex]b^{x}[/tex]

Use points on the graph to find a and b

Using (0, 5 ) , then

5 = a[tex]b^{0}[/tex] = a

Then

y = 5[tex]b^{x}[/tex]

Using (1, 2 )

2 = 5[tex]b^{1}[/tex] = 5b ( divide both sides by 5 )

[tex]\frac{2}{5}[/tex] = b

Thus

f(x) = 5[tex](\frac{2}{5}) ^{x}[/tex] ← equation of graph

(3^3 times 6^6)^-3 in fraction form

Answers

Use cymath! It's free to use and can easily help you with math like this.

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{(3^3 \times6^6)^{-3}}\\\\\mathsf{3^3}\\\mathsf{=3\times3\times3}\\\mathsf{= 9\times3}\\\mathsf{= 27}\\\\\mathsf{(\bold{27}\times6^6)^{-3}}\\\\\mathsf{6^6}\\\mathsf{= 6\times6\times6\times6\times6\times6}\\\mathsf{= 36\times36\times36}\\\mathsf{= 1,296\times36}\\\mathsf{= 46,656}\\\\\mathsf{(27\times \bold{46,656)}^{-3}}\\\\\mathsf{= \dfrac{1}{1,256,712\times1,256,715\times1,259,712}}\\\\\mathsf{=\dfrac{1}{1,999,004,627,104,432,128}}[/tex]

[tex]\large\text{Therefore, your answer is: }\mathsf{ \dfrac{1 }{1,999,004,627,104,432,128}\ }}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

amanda is 25 years old. in 5 years she will be twice as old as simone how old i simone

Answers

We could use Algebra for this question but it’s quite simile so won’t need it. If Amanda is 25, when we add on 5 years she’ll be 30. Now it says when she’s 30, she will be twice as old as Simone. Implying that Simone will be half of Amanda’s age. In this case 30/2 = 15. So Simone must be 15.
Simone is 12 1/2 years old. 25/2=12.5

Please find the surface area of the pyramid... I will mark you brainliest

Answers

Answer:

 S.A. = 704 in²

Step-by-step explanation:

Surface area (S.A. ) = 1/2 lp + B where l is the slant height , p is the  perimeter of the base, and B is the area of the base .

Given l = 14; The Base figure is a square so the p = 4· side = 4 · 16 = 64 and the area of the Base = s² = 256

S.A = 1/2 · 14 · 64 + 256

 S.A. = 448 + 256

  S.A. = 704 in²

these are so confusing, can someone explain how to do this

Answers

Answer:

4

Step-by-step explanation:

x/2 +6 = 8

subtract 6 from both sides

x/2 = 2

multiply by the reciprocal of 1/2 which is 2. That cancels out the 2 on the x side and x is equal to 4

Hope that helps

Answer:

  x = 4

Step-by-step explanation:

The left side of the equation has a variable term (x/2) and a constant term (6).

The right side of the equation has a constant term (8).

This is the form you expect to see for a "two-step" linear equation. It is solved in 2 steps.

Step 1:

Subtract the left-side constant from both sides.

  x/2 +6 -6 = 8 -6

  x/2 = 2 . . . . . simplify

Step 2:

Multiply both sides of the equation by the reciprocal of the coefficient of x. The coefficient of x is 1/2. Its reciprocal is 2/1 = 2. When you multiply both sides by 2, you get ...

  2(x/2) = 2(2)

  x = 4 . . . . . . simplify

_____

Additional comment

The idea of a multiplicative inverse (reciprocal) is that a number multiplied by its reciprocal is 1.

  [tex]\dfrac{2}{1}\times\dfrac{1}{2}=\dfrac{2}{2}=1[/tex]

1 is the "identity element" for multiplication. That means whatever you multiply by 1 retains its original identity. Multiplying x by 1 gives x.

When we solve an equation of this sort, we use these properties of multiplication (inverse, identity element) to "get rid of" the coefficient of x.

As always, the rules of equality say that whatever you do to one side of the equation must also be done to the other side. So, when we multiply x/2 by 2, we must also multiply the other side of the equation by 2.

__

Don't let the presentation of the x-term throw you. It can be written several ways that all mean the same thing.

  (1/2)x . . . . with or without the parentheses

  0.5x

  x/2

5q^2+15q+5=-6 what is the quadratic formula

Answers

Step-by-step explanation:

=  −15 ±  √5                                                                                                                                                 =  10                                                          the quadratic formula is:10

What is the approximate area of the home including the balcony.

Answers

Answer:

LxWxH=A

Step-by-step explanation: multiply LxWxH=A

A small jar of mustard holds 75% as much as a large jar of mustard. If the large jar holds 36 ounces, how much does the small jar hold?

Answers

Answer:

9 oz

Step-by-step explanation:

36 ounces * 0.75 = 9oz.

Answer:The small jar holds about 27 ounces.Step-by-step explanation:Basically, the question is asking 75% of 36. => 36 x 75/100=> 36 x 3/4=> 9 x 3=> 27 ouncesConclusion:

Therefore, the small jar holds about 27 ounces.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

mr farmer rectangular land measures 2000 meters by 3000 meters. if he walks around the perimeter of his land, how far does he walk

Answers

Answer:

10000 meters

Step-by-step explanation

To find perimeter you add the length of each side of the shape. Since the land is a rectangle there are two pairs that are parrallel, being 2000 and 3000. Making the distance 2000 + 2000 + 3000+ 3000 = 10000

Hope this helps!

May I please receive help?

Answers

Angle 3 is 29 degrees

what is pls help someone with the problem?2x + 3 = 9

Answers

Answer:

3

Step-by-step explanation:

2x+3=9

2x=9-3

2x=6

2    2

x=3

Answer: x = 3

Step-by-step explanation: 2x+ 3= 9

                                             2x +3 -3 = 9 - 3

                                             2x = 6

                                             2x/2 = 6/2

                                             x = 3

the given cube has a mass of 173 grams, what is it’s density

Answers

Answer:

I think the density is 4cm.

Hope that helps you.

Step-by-step explanation:

Solve by elimination show each step will rate you 5 stars

Answers

Answer:Multiply X + Y by -6 so you can cancel 6x by -6x. Then you get 3y+24. Then divide by 3 and get Y=8 Then solve for X. Use one of the equations and solve for X. I would do X+8=16. Then minus 8 and get 8. So X=8

Step-by-step explanation:

With that being said the coordinate pair would be (8,8)

Olivia needs at least $625 to pay for a used road bike that she wants. She has $185 saved so
earn $60 per week doing odd jobs for her next-door neighbor. What is the minimum number
will need to work for her neighbor in order to purchase the bike?

Answers

Answer:

I think probably at least 8 weeks.

Darin bought a new pair of soccer cleats for $59.99. The sales tax is 6.5%. What is the total cost the Darin will pay?

Answers

Answer $63.89

Explanation
59.99 x 6.5% = 3.899 = 3.9
59.99 + 3.9 = 63.89

Answer: $63.89

Step-by-step explanation:

In order to find the answer, you have to add the amount charged for the soccer cleats plus the amount of the sales tax.

[tex]59.99 + .065(59.99) = $63.889[/tex]

$63.889 rounded is equal to: $63.89

what is the standard deviation of 77, 45, 72, 56, 98, 60, 70, 89, 50, 80, 95, 70, 34, 77, 65, 70, 70, 82, 86, 86.

What percentage of the scores are within one standard deviation of the mean (±1)? Please include the range of values for this deviation and the exact values from the data set that are included in this range.

What percentage of the scores are within two standard deviations of the mean (±2)? Please include the range of values for this deviation and the exact values from the data set that are included in this range.

Does this data fit the model of a normal distribution? Why or why not?

Answers

Standard deviation of the numbers is 16.154.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The given observations are

77,45,72,56,98,60,70,89,50,80,95,70,34,77,65,70,70,82,86,86

Average or mean of the data is

x=Sum of n values/ Total number of values

x=1432/20=71.6

The Standard deviation of the data is

[tex]\sigma=\sqrt{\frac{\sum(x-mean)^{2}}{n} }[/tex]

=√5218.8/20

=√260.94

=16.154

Hence, standard deviation of the numbers is 16.154.

To learn more on Statistics click:

https://brainly.com/question/29093686

#SPJ5

asking for some help

Answers

The answer is a

Good luck on ur assignment :)

the sum of two numbers is 68. the larger number is 14 more than the smaller number. what are the numbers?

Answers

Let the smaller number be x.Then, the larger number = x + 14Given, the sum of these two numbers is 68.Therefore, by the problemx + (x + 14) = 68or, 2x + 14 = 68or, 2x = 68 - 14or, 2x = 54or, x = 54 ÷ 2or, x = 27Therefore, the smaller number is 27.So, the larger number = (27 + 14) = 41

Answer:

The numbers are 27 and 41.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

The numbers would be 41 and 27

Step-by-step explanation:

It would be 41 and 27 because the number we know is 64 so if you divide that by 2 you have 34 (34+34=68) and if you then take half of 14 (14 comes from this part of the question "the larger number is 14 more than the smaller number".) (14/2=7) 7 from one side and add it to the other side you get 41+27=68

(we can also fact check this because your smaller number 27 plus 14 equal 41, then and 41 plus 27 equals 68)

Is 92.248 an integer? Yes or no

Answers

Answer:

NO no no non

Step-by-step explanation:

IHOPE THIS CORELRECT ANSWER

While shopping at his local home improvement store, Chen noticed that the directions for an extension ladder state, “This ladder is most stable when used at a 60° angle with the ground.” He wants to buy a ladder to paint a two-story house. How long does his ladder need to be in order to reach the top of the house if the house is 27 feet tall?

Answers

The length of the ladder needed to reach the top of the house is 31.2 feet.

Trigonometric ratio is used to show the relationship between the sides and the angles of a right angled triangle.

Let d represent the length of the ladder. Using trigonometric ratio:

[tex]sin(60)=\frac{27}{d} \\\\d=\frac{27}{sin(60)} =31.2\ feet[/tex]

The length of the ladder needed to reach the top of the house is 31.2 feet.

Find out more at: https://brainly.com/question/4326804

This is due in 20 minutes. Please help!!!
1. A store buys a t-shirt for $3 and sells it for $12. What percent did the store mark up the price?
2. Cost to store: $50. Markup: 10%. Selling price: $?
3. You are buying a new video game system. Which store should you buy the system from? (The picture)
4. A jacket costs $80. It is on sale for 35% off. What is the discount? $?
5. A suit costs $95. It is on sale for 20% off. How much are you saving? $?
6. A $120 pair of shoes is on sale for 35% off. What is the sale price? $?
7. You started making bracelets to sell to earn some money. If it costs you $2 to make each bracelet, how much should you charge for each one to make a 50% profit?

Answers

Answer:

1.400%

2. 55$

3. C

4. 28

5. 19

6. 78

7. 1$

The graph of a function is shown on the grid.

Answers

Answer:

B (0, -2)

Step-by-step explanation:

Since the line intercepts at -2 on the y-axis, -2 is the y-intercept.

A knife is 3x the cost of a spoon9 spoons and 12 knives cost £82.80Work out the cost of 1 knife

Answers

The cost of my me knife is $5.52

3 3/8 divided by 1 1/4

Answers

Answer:

Step-by-step explanation:

3 3/8 changes to 27/8 because we multiply 3*8=24 and then add 24 to 3 = 27

same thing for 1 1/4

and then while dividing we flip the left hand side meanig 5/4 becomes 4/5 and division changes to multiplication

Answer: 2.7
Math problem: 3 3/8 divided by 1 1/4

Expand the following expressions and write in standard form. Show your work.

a) (3x + 2)(1 - 4x)
b) (x - 5)^2(2x + 7)

Please help!!!!

Answers

3x(1-4x)+2(1-4x)

3x-12x²+2-8x

-5x-12x²+2

Can someone plz help :(((((

What is the area, in square inches, of the rectangle?

Answers

Answer:

What are the side lengths?

Chords AB and CD of a circle intersect.
. AB is divided into two line segments measuring 4 cm and 18 cm.
• CD is divided into two line segments, with the length of one segment twice the length of the other.
What is the length of CD?

Answers

Step-by-step explanation:

line CD, WE and BD are half of the length of CD

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