The sum of two numbers is 72 and their difference is 40. Using elimination method

Answers

Answer 1

Answer:

here's what we know:

a + b = 72

a - b = 26

We can use the elimination method to solve this problem:

a + b = 72

a - b = 26

---------------

2a = 98

Divide both sides by 2:

a = 49

So we now have:

49 + b = 72

and:

49 - b = 26

Subtract 49 from both sides:

b = 23

and

-b = -23 (multiply both sides by -1) → b = 23

Step-by-step explanation:


Related Questions

NEED HELP ASAP (ILL GIVE BRAINLIST)

Answers

Answer:

the answer is 33 9/11

Step-by-step explanation:

multiply the fractions

.

.

Answer:

33 9/11

Step-by-step explanation:

22 6/11 x 1 1/2

Convert into improper fractions.

248/11 x 3/2

Reduce the numbers with the greatest common factor 2.

124/11 x 3

Calculate

372/11

=33 9/11

Hope this helps :)

find the formula for a function of the form y=ae^(-x)+bx with global minimum at (1,10).

Answers

The formula for a function of the form [tex]y = a\cdot e^{-x} + b\cdot x[/tex] with global minimum at [tex](1, 10)[/tex] is [tex]y = 5\cdot e^{1-x}+5\cdot x[/tex].

We can use first and second derivative tests to determine all coefficients of the function described in statement so that the point given is an absolute minimum. The expressions for such tests are introduced below:

FDT

[tex]-a\cdot e^{-x}+b = 0[/tex] (1)

[tex]b = a\cdot e^{-x}[/tex]

SDT

[tex]y''=a\cdot e^{-x}[/tex] (2)

Where [tex]y'' > 0[/tex].

If we know that [tex](x, y) = (1, 10)[/tex], then we have the following system:

[tex]10 = a\cdot e^{-1}+b[/tex] (3)

[tex]b = a\cdot e^{-1}[/tex] (4)

[tex]y'' = a\cdot e^{-1}[/tex] (5)

By (4) in (3):

[tex]10 = 2\cdot a\cdot e^{-1}[/tex]

[tex]a = \frac{10}{2\cdot e^{-1}}[/tex]

[tex]a = 5\cdot e[/tex]

By (5) we prove that [tex]y'' > 0[/tex], and we get the value of [tex]b[/tex] by (4):

[tex]b = 5[/tex]

Thus, the formula for a function of the form [tex]y = a\cdot e^{-x} + b\cdot x[/tex] with global minimum at [tex](1, 10)[/tex] is [tex]y = 5\cdot e^{1-x}+5\cdot x[/tex].

We kindly invite to check this question on first and second derivative tests:  https://brainly.com/question/6097697

determine if you can use the hypotenuse-leg congruency property to prove the triangles are congruent

Answers

Answer:

4. We don't know if they're right triangles

Step-by-step explanation:

If you could assume that the triangles are right triangles, then you would be able to prove congruency with HL. In this case however, the angles are not given so you can't assume anything.

The letter w represents a whole number such that 2021 + w is a multiple of 7. What is the smallest possible value of w?

Answers

Answer:

2

Step-by-step explanation:

2021/7 leaves a remainder of 5 so add 2 and that's the answer

whats 1/2 + 8/11 please explain by step by step

Answers

REFER THE PICTURE FOR YOUR ANSWER !!

Whats 1/2 + 8/11

___________________

= 1/2 + 8/11

= (1 × 11)/(2 × 11) + (8 × 2)/(11 × 2)

= 11/22 + (8 × 2)/(11 × 2)

= 11/22 + 16/22

= (11 + 16)/22

= 27/22

= 1 5/22 ☑️

This image shows that when a football is kicked, the nearest defensive player is 6 feet from the kicker’s foot. The height of the punted football, f(x), in feet, can be modeled by the equation. Round all answers to 2 decimals. ()=−0.0152 +1.25+2 a. (2 points) What is the maximum height of the punt?

Answers

Using the vertex, it is found that the maximum height of the punt is of 27.7 feet.

The height of the punt, after x seconds, is given by:

[tex]f(x) = -0.0152x^2 + 1.25x + 2[/tex]

It is a quadratic equation with coefficients [tex]a = -0.0152, b = 1.25, c = 2[/tex].

The maximum value is the value of the function at the vertex, hence:

[tex]f_V = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]

Applying the coefficients:

[tex]f_V = -\frac{b^2 - 4ac}{4a} = -\frac{(1.25)^2 - 4(-0.0152)(2)}{4(-0.0152)} = 27.7[/tex]

The maximum height of the punt is of 27.7 feet.

A similar problem is given at https://brainly.com/question/16858635

What is 50% of 35 like simplified

Answers

Answer:

It can't get more simple than that (*nose growing*)

Step-by-step explanation:

50% of 35 means 35 is 100% right? 50 is half of 100. So 50% of 35 will be half of 35, agree? So you multiply by crossing

35 = 100%

x = 50%

100 * x = 35 * 50 (do this math, you can multiply 35 by 5 then add 0)

100x = 1750

x = 1750 / 100

x = 17,5

Is 17,5 half of 35? You could have also done 35 / 2. It would be the same result because 50% is an easy percentage to work with.

need some help with these!!

Answers

Answer:

RS = XY

Step-by-step explanation:

Corresponding sides will be equal. So

RS = XY

I’m pretty sure it’s C

Explanation: it’s the only one that makes sense

Cuantos triángulos se pueden construir con un número entero de palillos

Answers

Answer:

Step-by-step explanation:

After creating an equilateral triangle using 3 toothpicks, I require 3 more toothpicks to create more 3 equilateral triangles ie.4 triangles it toto.

First place 3 toothpicks end to end on a Horizontal plane to create an equilateral triangle.

THEN erect 3 toothpicks on each corner of the triangles making other ends joined up together in space above the Horizontal plane so as to create another same THREE equilateral triangles. (I am unable to provide a pictorial presentation due to inadequacy of signs & symbols on the keyboard. )

I suppose, you must have visualised the superstructure.

Thanks.

Ms. Duda’s class is hanging 500 red lanterns around the
school for Lunar New Year. Before lunch, the class hangs
100 of the lanterns.
PART A Draw a model to show what percent of 500 lanterns
the class hangs before lunch.

Answers

Answer:

Percentage Calculator: 100. is what percent of 500.? = 20.

Step-by-step explanation:

Hello everybody! Can anybody help me out with this fairly simple multiple choice algebra problem? Thanks! ​

Answers

Answer:

l = P -2w

________ D is the correct choice

2

Alice uses a table to record the number of black cars, b, that passed by her house in h hours.
b is directly proportional to h.

Answers

Answer:

1/2

Step-by-step explanation:

b is directly proportional to h.

b = kh

take any (h, b) point

using (28, 14)

14 = k(28)

Divide both sides by 28

1/2 = k

1/2

(NO LINKSS PLS)(PLS ANSWER) Rayshawn is making sewing kits. Each kit gets 2 thimbles. the ratio of thimbles to spools of thread in each kit is 2:8, and the ratio of needles to thimbles is 4:2. Which statement below is always true? Explain Your reasoning.
Rayshawn needs half as many needles as spools of thread.

OR

Rayshawn needs 4 fewer needles than spools of thread.

Answers

Answer:

864 inches

12*3=36

36*24=864

Step-by-step explanation:

Hope this helps:)

Answer:

12*3=36

36*24=864

Step-by-step explanation:

CALCULATE THE AVERAGE RATE OF CHANGE OF THIS POLYNOMIAL ON THE
INTERVAL (-1.1)

Answers

Answer:

  -1

Step-by-step explanation:

The average rate of change of function f(x) on the interval [a, b] is ...

  m = (f(b) -f(a))/(b -a)

We have ...

  f(-1) = (-1)^5 -2(-1) +3 = -1 +2 +3 = 4

  f(1) = (1)^5 -2(1) +3 = 1 -2 +3 = 2

Then the average rate of change is ...

  m = (2 -4)/(1 -(-1)) = -2/2 = -1

The average rate of change on the given interval is -1.

Find the value of X in each case

Answers

x = 49° [ Alternate angles are equal]

4x = 4 × 49 = 196°

- BRAINLIEST answerer

Help please (due today) plz hellpp i cant solve it plz dont write anything just for points plzz

Answers

Answer:

After reviewing the question you posted I have deduced that the correct answers are:

11) Max has $10.00. He earns $25.75 per lawn that he mows.

12) No. She is wrong. She did not group like terms correctly.

Step-by-step explanation:

11)

For 11) I first identified the independent variable of the equation, being "10".

And then the dependent variable of the equation, being "25.75". (The dependent variable of an equation will always be affected by the x)

I then looked at all the possible answers to see which one shared a independent variable of "10" and a dependent variable of "25.75".

The only possible answer that matches is Max has $10.00. He earns $25.75 per lawn that he mows.

This is because the only two possible answers that have "10" being a variable that does not change (independent variable) are:

--- "Max has $10.00. He earns $25.75 per lawn that he mows.

--- "Jon buys 10 toycars for $25.75 each"

However!

"Jon buys 10 toycars for $25.75 each" is an incorrect answer because it uses "10", although independent, as the x variable that affects the independent variable of "25.75".

12)

To find the correct answer for this question I simplified the equation from:

8t-15+3t   =   11m-15

Into:

8t+3t-15   =   11m-15

Which further simplifies into:

11t-15   =   11m-15

Which then you can notice that the two equations are similiar indeed, however they do not share like terms. One equation has "t" as their term, and the other as "m" as their term. Thus they do not share any like terms and are not equivalent.

i really need some help with these!

Answers

Answer C

Explain bc E is the midpoint and AC are segment

The answer is the letter A

Given the perimeter find the unknown side length. P= 1,000 x =?

Answers

Answer:250

Step-by-step explanation:

a square had 4 sides, the perimeter is 1,000. 1,000/4+250 :)

Find an equation of the line drawn below.

Answers

Answer:

y = -2x +4

Step by step explanation:

y = -2x +4

Hello, hope you are having a splendid day.

First, we should calculate the slope of the line (Rise/Run)

The rise is how many units we move up or down; the run is how many units we move left or right.

Here, we move down 2 and over 1, so the slope is -2

Now, the y-intercept is where the graph touches the y-axis.

Here, the y-intercept is 4.

Our equation looks lke so:

y=-2x+4

Hope it helps. Ask me if you have any queries.

~An emotional teen who helps others on Brainly :)

[tex]MagicalNature[/tex]

Good luck.

(10 points!!!) AND I’LL MAKE YOU BRAINLEST

I ALREADY KNOW THE ANSWER I JUST WANT THE EXPLANATION!!

The answer is ( Jose, $901.31 more)

Janell deposits $2,000 and for 5 years leaves it in an account earning 3% annual interest, compounded quarterly. For 5 years, José saves and deposits $150 per quarter in an account earning 3% interest compounded quarterly. Who will have more money in the account after 5 years? How much more?


Use the table to answer:

Answers

Well I’m not sure if I know how explain this mathematically but what I think happens is Josè is putting 150 dollars in and earning 3% interest quarterly instead of by the year, meaning his money is increasing more often then Janell, who only gets interest every year. I’m sorry if this isn’t what you were looking for

Graph one function of y=1/3tan(x-π)

Answers

Answer:

ayúdame a encontrarla soy de Perú por favor ayuda

Plz help guys!!!!!!!!

Answers

Answer:

3

2

Step-by-step explanation:

Help me with question 9

Answers

Answer:

a) 5.25m^2

b) 1 can

Step-by-step explanation:

a)

area of a triangle = bh/2

=(4.2 x 4.5)/2

=18.9/2

=9.45m^2

area of a rectangle = 2(l+w)

=2 x (0.6 + 1.5)

=4.2m^2

9.45-4.2 = 5.25m^2

b) 1 can, you can't have a partial can of paint

mayor jones received 1027 votes his opponent received 949 votes how many votes did mayor jones win by? 6th grade help most hepful answer gets 5 stars a comment and a like​

Answers

Answer:

[tex]︎{\blue{\rule{25pt}{1pt}{\purple{\rule{30pt}{3pt}{\red{\rule{50pt}{99999pt}{\purple{\rule{30pt}{3pt}{\blue{\rule{25pt}{1pt} }}}}}}}}}}︎︎︎[/tex]

If I have a triangle and one angle is 25 degrees and I have to find the exterior angles by doing (2X+3) and (3x-17)

Answers

(2x+3)+(3x-17)+25=180
5x+11=180
X= 33.8

Plug in x into each equation.

2(33.8)+3= 70.6

3(33.8)-17= 84.4

Solve this system of linear equations. Separate
the x- and y-values with a comma.
-20x = -16 - 9y
- 14x = -22 - 9y

Answers

Answer:

(x, y)

(-1, -4)

Step-by-step explanation:

[tex]-20x=-16-9y\\-14x=-22-9y[/tex]

Solve by elimination, subtract the 2nd row from the 1st row:

[tex](-20x-(-14x))=(-16-(-22))+(-9y-(-9y))\\(-20x+14x)=(-16+22)+(-9y+9y)\\-6x=6[/tex]

Solve for x in the equation above

[tex]-6x=6\\x=-1[/tex]

Now we have the value of X, substitute it into any of the 2 original equations:

[tex]-20x=-16-9y\\-20(-1)=-16-9y[/tex]

Solve for y:

[tex]-20(-1)=-16-9y\\20=-16-9y\\36=-9y\\-4=y\\y=-4[/tex]

Please mark brainliest if this answer helps you. I can provide more information if needed.

Which statement best describes what the volume of an object represents? Volume is the length of an object. Volume is the amount of matter in an object. Volume is the amount of space taken up by an object. Volume is the ability of an object to floa

Answers

Answer:

Volume is the amount of space taken up by an object

b ÷ 0.52 for b = 6.344

Answers

Answer:

the answer is 12.2

[tex] \frac{b}{0.52} \\ we \: know \: b = 6.344 \\ then \\ \frac{6.344}{0.52} \\ = 12.2[/tex]

The graph of linear function fpasses through the point (1, -8) and has a slope of 2.
What is the zero of f?
-5
2
5
-2

Answers

Answer:

5

Step-by-step explanation:

set up point slope form

y + 8 = 2(x-1)

set y to zero

0+8=2(x-1)

8=2x-2

10= 2x

x = 5

Solve the given equations. PLEASE show your work. Tell me if there is no solution or infinite.




17 + 2(1 + 3x) = x - 5(3 - x)

Answers

Answer:

x = 17/5

Step-by-step explanation:

17+2+6x = x-15 +5x

19+6x =16x -15

19+15 = 16x-6x

34 = 10x

34/10= 10x/10

17/5 = x

x = 17/5 or 3 2/3

Other Questions
Plz help me solve for x and y A solid is crushed into a powder is chimacal change or pysical change An operation that wants to serve clams that are displayed in a tank until prep must? 2 paisa per 2 rupees per month Activity No. 3: Poem Writing Challenge Suggested Time Allotment: 15 minutesLets be creative! Write a poem of at least four lines about your personal insights on how you value yourself. You may read the poem with your family at home or share it with your friends in your social media accounts Please show how you solved the problem. 4a - 14 = 7a - 8 HELP ME PLEASEEEEEE!!!!!!!! 158) -.- A) P-3 in B) P-86 C) P-92 in D) P96 4 Write a program that copies only unsigned numbers from Array1 to another Array2. The Array1 has both signed and unsigned numbers in assembly language Fireworks are fired from the roof of a 100-foot building and travel 84 feet per second. The equation h = -16t 2 + 84t + 100 models the height h of the fireworks at any given time t seconds. There were 96 iPads at Fun Elementary. A company donated some iPads and the school purchased 300 more iPads. Now there are 865 iPads. How many iPads were donated to Fun Elementary? who is the greatest female tennis player of all time The functions f and g are defined as follows.3f(x) = 3x - 3 g(x) = 3x' +5Find f(-6) and g(-3).Simplify your answers as much as possible.f(-6) -Xg(-3) = Are the following two lines parallel, perpendicular, neither, or the same line?3x+4y = 24x+3y = 2what are they? Why do you think Richard emphasizes that the only thing he bought was a solar panel? Isthere something impressive about successfully working with limited materials? Can youthink of a problem in your community that a simple piece of technology might solve?HELP A.S.P picture of complex number system..... Which of the following statements is true about taxes?A)Taxes pay for schools first responders and roads.B)Taxes pay toll road fees and office buildings.C)Taxes are only collected by the federal government.D)Taxes are only collected by state governments. Im having a lot of trouble with this oneWhich mood does the overuse of positive space in Francisco Vidal's Icarus Chocalte convey? a. Calm and peaceful b. Happy and prosperous c. Unrest and turmoil Selected: d. Sad and lonely (Its not D though) This is the last question I have I promise lol Who became the master of central Japan and how did this influence their religion? (quickly please!!) PLZZZ HELPPPPPP1. A sign of syphilis in the primary stage is:A. a small painless sore called a chancre.B. a highly contagious body rash.C. loss of hair.D. None of the choices are correct.2. HIV cannot be spread through:A. having unprotected sex.B. breastfeeding.C. shaking someone's hand.D. sharing contaminated IV drug needles.3. Which of the following methods is the one sure way to avoid getting an STD?A. avoiding sexual intercourseB. condomsC. only having oral sexD. birth control pills4. Which of the following statements about HIV is false?A. Symptoms appear immediately after the disease in contracted.B. It can be many years between infection and the appearance of symptoms.C. It is spread through the exchange of blood or other bodily fluids.D. HIV and AIDS have no cure.5. Which of the following signs needs to be present to diagnose AIDS?A. Kaposi's sarcomaB. neurological disordersC. low white blood cell countsD. All of these choices are correct.