The sum of two numbers is 46. The difference of those numbers is 22. What are the two numbers?

Answers

Answer 1

Answer:

34 and 12

Step-by-step explanation:

so two numbers are x and x-22

then x+x-22=46

2x=68

x=34

x-22 = 12

Answer 2

The numbers are 34 and 12, which gives sum 46 and difference 22.

What is algebra?

Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.

Let the two numbers are a and b.

According to given conditions,

The sum of a and b is 46,

And the difference of a and b is 22.

Implies that,

a + b = 46      (1)

a - b = 22      (2)

Add equation (1) and (2),

2a = 68

a = 34

Substitute the value of a in equation 1 to get the value of b,

34 + b = 46

b = 46 - 34

b = 12

The required numbers are 34 and 12.

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Related Questions

Work out the area of a rectangle with base, b =
18mm and perimeter, P = 60mm.
b b

Answers

Answer:

Area of rectangle = 216 square mm

Step-by-step explanation:

Base (b ) = 18 mm

width = 'x' mm

Perimeter of rectangle = 2*(base + width)

Perimeter = 60 mm

2*(base + width) = 60 mm

2 *(18 + x )  = 60

2*18 + 2*x = 60

36   + 2x  = 60

         2x = 60 - 36

         2x = 24

          x = 24/2

    x = 12

Width = 12 mm

Area of rectangle = base * width

                             = 18 * 12

                             = 216 square mm

A combination lock uses a 3-digit code. Each digit can be any one of the ten available integers 0_ 9 How many different combinations are possible?

Answers

Answer:

729

Step-by-step explanation:

If you multiply 9x9x9 which is for the largest number and the 3 digits you would get 729.

Hi, I need help with this I am struggling. will give brainliest.
A.positive
B.negative
C.zero​

Answers

Answer:

I think it's zero or positive

A spaghetti dinner cost $12 and a slice of cake cost $3. Write an expression, using distributive property to find the total cost for a family of 5. Then solve your expression, showing your work, to find the total cost.

Answers

Answer:

5 (12+3)

75

Step-by-step explanation:

so you multiply 5 with the inside of paranthesis. So 5 x 12 and 5 x 3

So its 60 + 15 which is 75. Hope this helps!

PLEASE HELP ASAP!!!!!! i’ll mark brainlest

Answers

Answer: A) 5 x 1/2

Step-by-step explanation: 5 x 1/2 yields 2.5, which is also the answer to 5 / 2.

Answer: A. 5 x 1/2

5 divided by 2 is 2.5, and 5 x 1/2 is also 2.5

what is the value of x​

Answers

Answer:

7

Step-by-step explanation:

Solve:
-4 <-2x + 2 < 10

Answers

Answer:

3 > x > − 4 and your welcome bud

Please help me find the area

Answers

Answer:

25x^2 - 4

Step-by-step explanation:

and x times an x is x^2 so

25x^2 - 4

Eric started at sea level. He descended 13.7 meters and then ascended 15.2 meters. Write an additional expression in the form Descent + Ascent to represent this situation. Then calculate the sum and explain what it represents.

Answers

Expression: -13.7 + 15.2
Answer: 1.5 meters
Representation: The answer is where Eric is at now.

Hope this helped!

An additional expression in the form Descent + Ascent to represent this situation is -13.7 + 15.2. The sum will be 1.5 meters.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Eric started at sea level. He descended 13.7 meters and then ascended 15.2 meters.

The expression will be written as,
E = -13.7 + 15.2.

E = 1.5 meters

Therefore, the additional expression in the form Descent + Ascent to represent this situation is -13.7 + 15.2. The sum will be 1.5 meters.

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5) Solve for x,
107 + 44
8x -23

Answers

Answer:

8x + 128??

Step-by-step explanation:

Answer:

To start off, lets label this triangle ABC where A is the top right vertical, the top left verticle is B, and the bottom one is C. Now lets label the 2 points of intersection from the line segment 8x-23 D and E where the left intersection is E and the right is D.

Notice how CE and AE have an arc and that AC was split to get AE and CE. The 2 arcs show us that the intersection E is located at half the line segment.

This is the same on the other line segment BC. So if E and D are half of those line segments then the line segment ED must be half of the parallel segment above it. Because this is true, 2(8x-23)=10x+44

Now we have an equation and we can solve:

2(8x-23)=10x+44

16x-46=10x+44

6x-46=44

6x=90

x=15

Step-by-step explanation:


(Can someone help me please?)

Of the 20 school days last month, there were only 7 when no math or writing homework was
due. There were four days that math and writing homework were both due at the same time.
Math homework was due 7 times total; how many total times was writing due? *
(6 Points)
The value must be a number

Answers

Answer:

10

Step-by-step explanation:

The answer is 10 because there are 20 days and no home work is due on 7 of those days so that’s 13 days with homework from math or writing. Then you take the three days where it was just math and subtract that to get 10 days of writing.

5 1
6X-5
= 19
Х
= 19
30
х
30
(19)
X =
What is x

Answers

Answer:

yea u got it right my dude

Eleanor and Max used two rectangular wooden boards to make a set for
the school play. One board was 6 feet long, and the other was 5 feet
long. The two boards had equal widths. The total area of the set was
60 square feet. What was the width?

Answers

Answer:

[tex]\frac{60}{11}[/tex] feet

Step-by-step explanation:

Rectangle 1:

6 x Width = Area

Rectangle 2:

5 x Width = Area

Total Area = Area of Rectangle 1 + Area of Rectangle 2 = 60 square feet

Take Width as [tex]x[/tex] as the widths of both rectangles are the same:

[tex]5x + 6x = 60\\\\11x = 60\\\\x = \frac{60}{11}[/tex]

How many groups of 2/3 are in 3

Answers

Answer:

9/15

Step-by-step explanation:

Solve: 7x + 3 + 2x + 13

Answers

Answer: 9x+16

Step-by-step explanation: in image below

Samuel gave the cashier $30 to pay for 4 bags of candy he was purchasing for a class party. The cashier gave him $2.04 in change. Each bag of candy costs the same amount.



What is the cost in dollars for each bag of candy?

Answers

Answer:

Step-by-step explanation:

First, subtract 2.04 by 30

30 - 2.04 = 27.96

Next, divide 27.96 by 4.

27.96/4 = 6.99

Each bag of candy cost $6.99

:)

10. A rectangular yoga studio is 25.15 feet long and 13.62 feet wide.


A. Round the length and width to the nearest whole number. Then estimate the perimeter of the yoga studio. write an equation to model your work.


B. Round the length and width to the nearest tenth. Then estimate the perimeter of the yoga studio. write an equation to model your work.



c. Find the exact perimeter. which estimate is closer? Explain why you think that estimate is closer.



please answer I'll mark brainlyest!!!!!


I really need Step my step answer full sentences and full answers and right answers please help me!​

Answers

Answer:

a.

[tex]Length = 25[/tex]

[tex]Width = 14[/tex]

[tex]Perimeter = 78ft[/tex]

b.

[tex]Length = 25.2[/tex]

[tex]Width = 13.6[/tex]

[tex]Perimeter = 77.6ft[/tex]

c.

[tex]Perimeter = 77.54ft[/tex]

Estimate (b) is closer to the actual measurement.

Step-by-step explanation:

Given

[tex]Length = 25.15[/tex]

[tex]Width = 13.62[/tex]

Solving (a): Approximate measurements to whole numbers then estimate the perimeter.

When approximated to whole numbers (i.e. no decimal place), the new measurement is:

[tex]Length = 25[/tex]

[tex]Width = 14[/tex]

The perimeter is calculated as thus:

[tex]Perimeter = 2(Length + Width)[/tex]

[tex]Perimeter = 2(25 + 14)[/tex]

[tex]Perimeter = 2*39[/tex]

[tex]Perimeter = 78ft[/tex]

Solving (b): Approximate measurements to tenth then estimate the perimeter.

When approximated to tenth (i.e. to 1 decimal place), the new measurement is:

[tex]Length = 25.2[/tex]

[tex]Width = 13.6[/tex]

The perimeter is calculated as thus:

[tex]Perimeter = 2(Length + Width)[/tex]

[tex]Perimeter = 2(25.2 + 13.6)[/tex]

[tex]Perimeter = 2*38.8[/tex]

[tex]Perimeter = 77.6ft[/tex]

Solving (c): Exact Perimeter.

Given measurements are:

[tex]Length = 25.15[/tex]

[tex]Width = 13.62[/tex]

The perimeter is calculated as thus:

[tex]Perimeter = 2(Length + Width)[/tex]

[tex]Perimeter = 2(25.15 + 13.62)[/tex]

[tex]Perimeter = 2*38.77[/tex]

[tex]Perimeter = 77.54ft[/tex]

To determine which is nearest, we calculate the absolute difference between each estimate from the actual measurement.

For estimate a

[tex]Difference = |77.54 - 78|[/tex]

[tex]Difference = |-0.46|[/tex]

[tex]Difference = 0.46ft[/tex]

For estimate b

[tex]Difference = |77.54 - 77.6|[/tex]

[tex]Difference = |-0.06|[/tex]

[tex]Difference = 0.06ft[/tex]

The closest to the exact is the one with the smallest difference.

Hence, estimate (b) is closer to the actual measurement.

HEEELP ME
Will give brainliest and points
I got absolute minimum wrong

Answers

9514 1404 393

Answer:

absolute maximum: (3, 27e^-3) ≈ (3, 1.24425)absolute minimum: (-4, -64e^4) ≈ (-4, -3494.28)

Step-by-step explanation:

The absolute extremes will be at one of two locations:

where the derivative is zeroat an end of the interval

Here, the absolute maximum occurs where the derivative is zero (and the second derivative is negative).

  f'(x) = 3x^2·e^-x -x^3·e^-x = x^2·e^-x·(3 -x)   ⇒   f'(3) = 0

The absolute minimum occurs at the left end of the interval, where both x^3 and e^-x have large magnitude.

The minimum is ...

  (-4)^3×e^-(-4) ≈ -3494.21 . . . . six significant figures

__

A graph can show you the function tends toward -∞ as x goes to large negative values. Hence, the absolute minimum on an interval beginning in the left half-plane will be at the left end of the interval.

- 3/8 + 1/6 plss help

Answers

Answer:

-5/24

Step-by-step explanation:

-3/8 =

-9/24

1/6 =

4/24

-9/24+4/24=-5/24

Answer:

-3

Step-by-step explanation:

multiply to make it a common number so -3/8 times 6/6 and 1/6 times 8/8

so -18/48 times 8/48. Then you multiply the top numbers to get 144/48. Then you simplify or divide so -3.

answer asap plz plz ok thx

Answers

Answer:

2. A3. B

Step-by-step explanation:

2.

Option A is correct:

Two pairs of opposite congruent angles

3.

Option B is correct:

∠PDC = ∠ABP = 25°

THis table gives a few (x, y) pairs of a line in the coordinate plane.

x ......y

48 -30

61 -45

74 -60


What is the x-intercept of the line?

Answers

Answer:

The x-intercept is : (22, 0)

Step-by-step explanation:

Given the table

x                 y

48              30

61               45

74               60

From the table, it is clear that every y value is changing 15 units, and every x is changing 13 units. Hence, it is a straight line.

Hence, we can find the other values of this straight line as well.

so

When the value of y = 15 i.e. (30-15), then the value of x will

be 35 i.e. (48 - 13).

as

y = 30 - 15 = 15, and x = 48 - 13 = 35.

Similarly,

When the value of y = 0 i.e. (15-15), then the value of x will be 22 i.e. (35-13).

as

y = 15-15 = 0, and x = 35 - 13 = 22.

As we know that the x-intercept is the point where the line crosses the x-axis. At this point y = 0.

so, as we have checked that when the value of y = 0, then the value of x = 22.

Therefore, the x-intercept is : (22, 0)

.. help lol just find the answer

Answers

What’s the question???

Pedro thought he could just run into the store for a minute, so he didn’t put any money in the parking meter. He got a ticket for $25 due one week later. The ticket said that it would be an additional $13.00 for each day it was paid late.


a. Define the variables and write an equation that represents the total fine for any number of days late paying the ticket.


b. Use the equation to find the amount Pedro must pay if he is six days late.


c. When Pedro finally goes to the Town Clerk to pay the bill he has to pay $155.00. How many days late was he?

Answers

I don’t understand sorry

Alain lanzó una piedra desde un puente al río de abajo.

La altura de la piedra (en metros sobre el agua) xxx segundos después de que Alain la lanzó está modelada por:

h(x)=-5x^2+10x+15h(x)=−5x

2

+10x+15h, left parenthesis, x, right parenthesis, equals, minus, 5, x, squared, plus, 10, x, plus, 15

¿Cuál es la altura de la piedra en el momento que la lanza?

Answers

Responder:

15m

Explicación paso a paso:

Dada la expresión de la altura de la pelota lanzada modelada por la ecuación;

h (x) = -5x² + 10x + 15

El momento en que se arrojó la piedra es cero, es decir, x = 0 segundos

Sustituya x = 0 en la ecuación y encuentre h (x) como se muestra;

h (x) = -5x² + 10x + 15

h (0) = -5 (0) ² + 10 (0) +15

h (0) = 0 + 0 + 15

h (0) = 15 m

De ahí que la altura de la piedra cuando la arrojes sea de 15 m

Solve 1/2x-2=9-5x by graphing

Answers

(blue) y= 1/2x -2

(green) y= 9-5x

plz i need the answer

Answers

(a)1/10

(b)4/5

(c)1/20

Answer:

a) [tex]\frac{2}{18}[/tex] or 1/9

b) [tex]\frac{14}{18}[/tex]

c)[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Consider the sequence 8, 6.2, 4.4.2.6. ... The function that describes the sequence is y(x) = 9.8 - 1.8(x). What is f(5)

Answers

F(5)=9.8-1.8(5)
F(5)=9.8-9
F(5)=9

Complete the table using the equation y = 7x + 5.

15 points or higher guys.​

Answers

Answer:

Answer is:

-2, 5, 19, 26

Step-by-step explanation:

output = input 7x+5 or

x= y7x+5

What is the x-value of the solution to the system of equations?

5x + 4y = 8

2x − 3y = 17

Answers

Answer:

x=4

Step-by-step explanation:

multiply first eq. by 3 and second by 4 to get rid of y

15x+12y=24

8x-12y=68

add the equations

23x = 92

divide both sides by 23

x=92/23=4

Answer:

x = 4

Step-by-step explanation:

Given the 2 equations

5x + 4y = 8 → (1)

2x - 3y = 17 → (2)

Multiplying (1) by 3 and (2) by 4 then adding will eliminate the y- term

15x + 12y = 24 → (3)

8x - 12y = 68 → (4)

Add (3) and (4) term by term to eliminate y, that is

23x = 92 ( divide both sides by 23 )

x = 4

Need help !!!! I would make you 100 edits if you answer this for me ! I need some help on this !! It’s due in a few minutes!! Help me !!

Answers

Answer:

6A7C8B

Step-by-step explanation:

Add them in and try to solve for 7 and 6, for 8. I usually put all number on one side and all x on other side.

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