The sum of two numbers is 92. Their difference is 20. Find the two numbers?​

Answers

Answer 1

Answer: sum: 51 + -31 = 20

Step-by-step explanation: The sum of two numbers is 20 and their difference is 92. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 20. In other words, x plus y equals 20 and can be written as equation A:

x + y = 20

The difference between x and y is 92. In other words, x minus y equals 92 and can be written as equation B:

x - y = 92

Now solve equation B for x to get the revised equation B:

x - y = 92

x = 92 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 20

92 + y + y = 20

92 + 2y = 20

2y = -72

y = -36

Now we know y is -36. Which means that we can substitute y for -36 in equation A and solve for x:

x + y = 20

x + -36 = 20

X = 56

Summary: The sum of two numbers is 20 and their difference is 92. What are the two numbers? Answer: 56 and -36 as proven here:


Related Questions

Help please will mark brainliest

Answers

Answer: 22.9

Step-by-step explanation: Perimeter of a triangle is the sum of all side lengths, in this case, 4, 5, and 13.9, and the sum is 22.9. Hope this helps, and have a great day!

Answer:

22.9 i think

Step-by-step explanation:

A retiree invests $7,000 in a savings plan that pays 7% per year. What will the account balance be at
the end of the first year?

Answers

Answer:

$6510

Step-by-step explanation:

First thing that should come to mind is: What is 7% of $7000?

Well, if you don't know how to find a percent of something, this is the formula you use:

7000 x 0.07 = 490.

In the first year, they will receive 490 out of the 7000 they've invested.

7000 - 490 = 6510.

Therefore, the account balance at the end of the first year will be 6510.

The account balance at the end of first year will be equal to $6510.

What do you mean by percentage ?

Percentage is the relative value indicating one hundredth part of any quantity.

It is given that a retiree invests $7000 in a savings plan which pays 7% per year.  So , it meant that we need to calculate that what is the value 7% of $7000.

So , 7% of $7000 is :

= 7000 × [tex]\frac{7}{100}[/tex]

= $490

It is known that this amount is paid as per plan per year. So, to find out the account balance at the end of the first year , we need to subtract the invested amount to the amount per year at 7%.

So , the account balance at the end of first year will be :

= 7000 - 490

= $6510

Therefore , the account balance at the end of first year will be equal to $6510.

Learn more about percentage here :

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help please, i need it asap. thank you

Answers

Answer:

x = 5

Step-by-step explanation:

[tex]\frac{3}{x}[/tex] = [tex]\frac{4.5}{7.5}[/tex]

cross multiply

4.5x = 7.5(3)

4.5x = 22.5

Divide

x = 5

5/8 - 1/4 simplest form​

Answers

Answer:

3/8

Step-by-step explanation:

5/8 - 1/4

L.C.M =8

5-2=3

=3/8

Hi I need to send you a screenshot .​

Answers

DON'T OPEN IT, IT'S A LINK!! also you can just attach a photo to a question :)

find the value of x. round to the nearest tenth if needed.

Answers

[tex]6^{2}+8^{2}=x^{2} \\36+64=x^{2} \\100=x^{2} \\x=10[/tex]

What is a good estimate for this angle measurement? A. 10 degrees B. 25 degrees C. 75 degrees D. 95 degrees

Answers

Answer:

C. 75 degrees

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

guys i guessed

please answer i will give crown :D

Answers

Answer:

0.24

Step-by-step explanation:

1.679-1.439

Graph f(x) = 2 x + 3 + 2.

Answers

Answer:

HOPE IT'S HELPS YOU....

I need some help! I would really appreciate it!

Answers

Answer:

answer is A

Step-by-step explanation:

slope goes up positive 4 and it crosses the y intercept at 3 so yeg there ya go ig

Select ALL TRUE statements about Linear Functions:
Group of answer choices

The degree of the function is one.

The y values change by a common difference.

The graph is a straight line.

Vertex form is used for graphing.

Answers

Step-by-step explanation:

The degree of the function is one: Correct

The y values change by a common difference: incorrect

The graph is a straight line: Correct

Vertex form is used for graphing: Incorrect

Hope that helps :)

Question 6 of 10
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10 T. (1.9)
-10
(0, 0)
10
-101
O A. y=-*
O B. y= 18x
O C. y=9x
O D. y= -18x
1
X
O E. y = 5
O F. y=-9x
SUBMIT

Answers

The equation for the following line is E.

The equation of the line is y = 9x. The correct answer is C.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that;

the points of line are (1,9) and (0,0).

Now,

In this case, the given points are (1, 9) and (0, 0). We can use them to find the slope:

m = (y2 - y1) / (x2 - x1) m = (0 - 9) / (0 - 1) m = -9 / -1 m = 9

Then we can use the point-slope form with any of the given points. Let’s use (0, 0):

y - y1 = m (x - x1) y - 0 = 9 (x - 0) y = 9x

This is already in slope-intercept form. The slope is 9 and the y-intercept is 0.

Therefore, the equation of the line will be y = 9x.

Learn more about equations here;

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Anna charges $8.50 an hour to babysit how long will it take to make $51.00

Answers

Answer:

6 hours

Step-by-step explanation:

$51.00 ÷ $8.50 = 6 hours

hope this helps ! :))

Select all numbers that have and absolute value of 0.6

Answers

I needed help on this... Answer:
l-0.6l and 0.6 and l 0.6 l
Step-by-step explanation:
a number in l x l for is to be changed to positive if not already!

Just want to confirm the answer is 4 more student because from 6 to 10 is 4
More or I’m wrong ?? Just please help me with yes or no thanks

Answers

Yes the answer is correct it’s 4

Answer:

Yes

Step-by-step explanation:

Your answer is correct ^^

A recipe for 1 batch of cookies calls for 3/4 cup of flour. How much flour is required to bake 1 1/2 batches of cookies?

Answers

Answer:

1 1/8 cups of flour are required to bake 1 1/2 batches of cookies.

Step-by-step explanation:

Given that a recipe for 1 batch of cookies calls for 3/4 cup of flour, to determine how much flour is required to bake 1 1/2 batches of cookies, the following calculation must be performed:

3/4 = 0.75

1/2 = 0.5

1 = 0.75

1.5 = X

1.5 x 0.75 / 1 = X

1.125 = X

0.125 = 1/8

Thus, 1 1/8 cups of flour are required to bake 1 1/2 batches of cookies.

Use triangle DEF shown below to answer the question that follows. What is the value of X rounded to the nearest hundredth?

Answers

Answer:

it might be x=63.27

Step-by-step explanation:

Help please !! need it adap

Answers

Answer:

m < Q = 40°

m < M = 60°

Step-by-step explanation:

1.) All angles in every triangle altogether equal 180°

From the 4 measurements, you can tell angle Q and S are equal in order to make all angles equal 180 and those angles to be equal (below)

180 - 100 = 80

80/2 = 40

2.) This is an isoceles  (all angles and sides are equal) There are three angles (divide 180 by 3)

180/3 = 60

I have no clue how to do this! please help me!!!

Answers

Answer:

The equation has one solution.

A value of x that makes the equation true is 5, which when substituted into the equation and simplified makes the equation turn into 10=10

A value of x that makes the equation false is 6, which when substituted into the equation and simplified makes the equation turn into 12=10

Step-by-step explanation:

2x=10

Divide both sides by two:

2x/2=10/2

x=5. There is no other solution to the equation, because 5 is the only possible answer.

I can't figure this problem out- Please help me​

Answers

Answer:

68 in^2

Step-by-step explanation:

the shape is a trapezoid

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs

Characteristics of a trapezoid

It has 4 vertices and edges

If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram

Area of a trapezoid =   x (sum of the lengths of the parallel sides) x height

the dimension of the height is not given. We have to determine the value of the height using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

10² = 6² + height²

100 = 36 + height²

height = 64

the square root of 64 is 8

the height is 8

1/2 x (8 + 9) x 8 = 68in^2

Unit 10: Circles ** please show how you got the answer ** i know the answer is 108° but i don’t know how to get it.

Answers

Answer:

108 degrees

Step-by-step explanation:

you gotta add the degrees up with a protractor or you add 54 plus 54 which equals 108

3.65 is greater than or less than 3and1/5​

Answers

3.65 is greater than 3 1/5 since if you put 1/5 in decimals, it would be 3.20.

Answer:

Greater

Step-by-step explanation:

It is greater because 3 & 1/5 is technically 3.20 which obviously results with 3.65 being greater than 3.2. Also if you go into detail with it 3.65 is kinda 3 & 3/5. Thanks. Let me know if you find any fault in my answer. Have a good day!

Solve for x.
109= -x + 267
X=
x 5
?

Answers

Answer:

x=158

Step-by-step explanation:

109=-x+267

-267     -267

-158=-x

x=158

(also i noticed part of your question says x=(?)*5 and 31.6*5 is 158 so that would be 31.6)

Please help with this question

Answers

Answer:

I think it's Democrats

Step-by-step explanation:

but I hope I am right

Can you please help me do a and b I will reward brainliest

Answers

Answer:

a) 640.32 cm^3

b) 98.4 cm^3

Step-by-step explanation:Part a)Cylinder volume:

(3.14) × 2^2 × 12 = 150.72 cm^3

Triangular prism:

We need to find the height of the base so we use the Pythagorean theorem.

5^2 + x^2 = 14.1^2

25 + x^2 = 198.81

x^2 = 173.81

x = 13.184

After finding height, we can use the equation for a normal triangular prism:

[tex]\frac{1}{2}[/tex] × Base × Height × Length

[tex]\frac{1}{2}[/tex] × 13.184 × 10 × 12= 791.04cm^3

Total Volume: 791.04 - 150.72 = 640.32 cm^3

Part b)Small Sphere Volume:

[tex]\frac{4}3[/tex] × 3.14 × 1^3 = [tex]\frac{314}{75}[/tex]cm^3

Half Sphere Volume :

0.5([tex]\frac{4}3[/tex]× 3.14 × 3^3) = 56.52cm^3

Cone Height:

5^2 = 3^2 + h^2

25 = 9 + h^2

16 = h^2

h = 4

Cone Volume:

(3.14) × 3^2 × [tex]\frac{4}{3}[/tex] = 37.68 cm^3

Total Volume = 98.4 after rounding

17.
Which pair of numbers is relatively prime? *


7 & 21
4 & 15
ОООО
6 & 9
9 & 27

Answers

Answer:

9 & 27

Step-by-step explanation:

since all prime numbers above 5 end in 1,3,7 and 9then to find a prime number between say 70 and 80 the only possibilities are 71,73,77,79

Answer:

9 & 27

Step-by-step explanation:

Plz mark as Brainliest...

Please answer soon!!!

Answers

You can multiply the base times the height

are these correct???

Answers

Answer:

They are all correct.

Step-by-step explanation:

1.

1/2(b)(h)

1/2(4)(6)

1/2(24)

12

2. l x w

7 x 5

35

3. (b)(h)

(8)(4)

32

Omlll, I'm actually stuck rn xD If anyone can help,i'd appreciate it so much!! Tyssmm!!!!!

Answers

Answer: it’s acute

Step-by-step explanation:

the second one lollollol

what is 2 x 2? answer dumly

Answers

WRONG ANSWERS ONLY... 4
It is 4 or 22. Wait...no it’s0️⃣
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