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

The table gives the temperature (in °F) in five citiesſat 6 a.m. on the same day. Use the table to answer the questions.
City
Temperature
(°F)
Toronto
-16
Fairbanks
:-24
Dayton

43
San Antonio
74
Buffalo
-3
5
?
(a) By noon, the temperature in Buffalo had risen by 10 °F.
What was the temperature there
at noon
How much higher was the 6 am temperature in Toronto than in Fairbanks

Answers

Answer:

a) buffalo will be at 7

b) it will be -8

Step-by-step explanation:

a) because if u add - 3 + 10 it will equal 7

b) reason why is because if u substract -24 from - 16 it will be - 8

I took a test on the same thing thats why i kno it

Three business partners, Ren, Jaffary and Abel put money into a business in the ratio 2:3:4. From the profits they shared, Abel got 3400 dollars. How much did ren and Jaffary receive?

HELP GUYS PLS I HAVE 3 MIN TO GO

Answers

Answer:

Ren has 755.4

Jaffray has 1,133.1

Abel has 1,510.8

Which relation has a domain of (2, 4) and a rang of (2, 8)
A (2, 4) (2,8)
B (2, 2) (2,8) (4,2)
C{(2,4)(8,2)(8,4)}
D{(2,2)(2,4)(4,2)(8,8)}

Answers

Domain: x values
Range: y values
The relation would need to have (2, y) and (4, y). And also (x, 2) and (x, 8)
See which ones match

Solution: B

A driver travels 120 miles, stops, and then travels ¼ of the distance she has already driven. After stopping again, the driver travels ⅔ of the distance she has already traveled. Now, the entire distance she has driven is 55 miles more than 1 ⅔ of the remaining trip. How many miles does the driver still have to travel?

Answers

Answer:

75 miles

Step-by-step explanation:

We know that she has driven 120 miles before the first stop.

Then she drives for 1/4 of the the distance she has already driven (120 miles). One fourth of 120 is 30.

So now, she's driven for 120 + 30 miles, or 150 miles.

She drives for another 2/3 of the distance she's traveled (150 miles). Two thirds of 150 is 100.

So now, she's driven for 150 + 100 miles, or 250 miles.

What we need to find out now is how much of the trip has she traveled.

We know that the entire distance she has driven is 55 miles more than 1 ⅔ of the remaining trip. So, in other words, the distance she has traveled minus 55 is equal to 1 2/3 of the trip.

To put this in an equation:

250 - 55 = 1 2/3t

t = the whole trip

Now, we solve for t.

250 - 55 = 195

1 2/3 = 5/3

so, 195 = 5/3t

t = 325

We subtract what she has already driven to the total to get the remaining distance.

325 - 250 = 75

PLEASE HELP WITH THIS QUESTION

Answers

Answer:

which question can I help you

Quiz

2² =
4² =

use the method, no calculation ​

Answers

Step-by-step explanation:

= 2 × 2

= 4

▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎

= 4 × 4

= 16

▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎

I Hope This Help


Does each pair of expressions form an equation when joined with an equals sign?
Select Yes or No for each pair of expressions.
Expressions

(1/3) ² +1 and 2 - 8/9

(1+ 1/5)^2 and 2
16/25

Answers

Equations are expressions with equal values

(1/3) ² +1 and 2 - 8/9 form an equation when joined together with an equals sign(1+ 1/5)^2 and 2  16/25 do not form an equation when joined together with an equals sign

(a) (1/3) ² +1 and 2 - 8/9

Rewrite as:

[tex]\mathbf{(1/3)\² +1 = 2 - 8/9}[/tex]

Evaluate the exponent

[tex]\mathbf{1/9 +1 = 2 - 8/9}[/tex]

Take LCM

[tex]\mathbf{1\frac 19 = \frac{18- 8}{9}}[/tex]

[tex]\mathbf{1\frac 19 = \frac{10}{9}}[/tex]

Simplify

[tex]\mathbf{1\frac 19 = 1\frac{1}{9}}[/tex]

Hence, (1/3) ² +1 and 2 - 8/9 form an equation when joined together with an equals sign

(b) (1+ 1/5)^2 and 2  16/25

Rewrite as:

[tex]\mathbf{(1+ 1/5)^2 =2\frac{ 16}{25}}[/tex]

Take LCM

[tex]\mathbf{(\frac{5 + 1}{5})^2 =2\frac{ 16}{25}}[/tex]

[tex]\mathbf{(\frac{6}{5})^2 =2\frac{ 16}{25}}[/tex]

[tex]\mathbf{\frac{36}{25} =2\frac{ 16}{25}}[/tex]

Rewrite as:

[tex]\mathbf{1\frac{9}{25} =2\frac{ 16}{25}}[/tex]

Hence, (1+ 1/5)^2 and 2  16/25 do not form an equation when joined together with an equals sign

Read more about equations at:

https://brainly.com/question/13636476

Answer:

(1/3)^2 + 1 and 2 - 8/9 : Yes

(1 + 1/5)^2 and 2 - 16/25 : No

Find one value of x for F(x)=-4

Answers

F(x) = -4 means y = -4. That means whatever the x is, the answer is going to be -4.

Solve the given equations. PLEASE show your work. Choose if the equation has infinite many solutions or no solution. It can have a solution





-2(x + 4) + 9x = 4 - 7x

Answers

The answer is x=6/7.

A school has 320 girls and 250 boys
The probability that a girl is left handed is 0.2
The probability that a boy is left handed is 0.1
Estimate the umber of left handed students in the school.

Answers

320/100 • 20 = 64
250/100 • 10 = 25
64+25= 89 <33

Find the complementary Angle of 24 / 1/5

Answers

The answer is 24
Ok done. Thank to me:>

We are flying at 30 000 feet.
Our speed is 500 miles per hour.
Our total flight time will be 10 hours and 20 minutes.
Mark knows the distance from London to Cancun is 4944 miles. He asks his daughter to check the information given by the pilot. She knows this formula for speed.
s = dt
s = speed (miles per hour) d = distance (miles)
t = time (hours)

Evaluate the information given by the pilot.
Show calculations to support your answer.

Answers

Answer:

Step-by-step explanation:

500 mph with a flight time of 10 hours and 20 minutes  [(20 min)*(1 h/60 min) = 0.333 hr]

Distance = Speed * Time

Time = 10.333 hours

Distance = (500 miles/hr)*(10.333 hrs) = 5166.5 miles

The pilot's numbers indicate a distance of 5167 miles, compared to Mark's number of 4944 miles.  That is a 4.3% reduction from the pilot's numbers.  Not too bad, so we might question 1) Mark's knowledge, or 2) the impact that the approach and landing speeds have of the total miles flow.

My preference would be to trust the pilot's data.  I don't know where Mark got his math education.

. Bobignment In what year was the LAWMA Established-​

Answers

1977. All that took was a 3 second search...

share £650 in the ratio of 4:9

Answers

Answer:

200:450 that would be the answer i believe

39. The area of a triangle A varies jointly as b and h. If A = 225 in- when b = 18 in. and h = 25
in., find A when b = 35 in. and h = 40 in.
37

Answers

Answer: B

Step-by-step explanation:

Answer:

700 in^2

Step-by-step explanation:

If A = 225 in- when b = 18 in. and h = 25

225 = 18 * 25 / 2

a = 35 * 40 / 2

a = 700

Solve each equation for the specified variable.

a. a-q=a+sx for x

b. kx-bf=fy/m for y

c. a-q=a+sx for q

d. kx-bf=fy/m for m

PLEASE HELP I WILL GIVE GREATEST ANSWER TO WHOEVER SOLVES ALL OF THEM THE BEST. THANK YOU SO MUCH

Answers

Answer:

a.

a - q = a + sx

a - a - q = a - a + sx

-q = sx

[tex]\frac{-q}{s} = \frac{sx}{s}[/tex]

x = [tex]\frac{-q}{s}[/tex]

b.

kx - bf = [tex]\frac{fy}{m}[/tex]

m(kx - bf) = m([tex]\frac{fy}{m}[/tex])

mkx - mbf = fy

[tex]\frac{mkx - mbf}{f}[/tex] = [tex]\frac{fy}{f}[/tex]

y = [tex]\frac{mkx - mbf}{f}[/tex]

y = [tex]\frac{mkx}{f}[/tex] - [tex]\frac{mbf}{f}[/tex]

y = [tex]\frac{mkx}{f}[/tex] - mb

c.

a - q = a + sx

a - a - q = a - a + sx

-q = sx

-q × (-1) = sx × (-1)

q = -sx

d.

kx - bf = [tex]\frac{fy}{m}[/tex]

m(kx - bf) = m([tex]\frac{fy}{m}[/tex])

m(kx - bf) = fy

[tex]\frac{m(kx - bf)}{kx - bf}[/tex] = [tex]\frac{fy}{kx - bf}[/tex]

m = [tex]\frac{fy}{kx - bf}[/tex]

identify the pair of similar triangles in each of the groups of triangle below​

Answers

Answer:

its triangle ABC and XYZ

Step-by-step explanation:

A and B stand in a line at random with 10 other people. What is the probability that there are exactly 3 people between A and B?

Answers

Answer:

so no answer

Step-by-step explanation:

no answer

√12 - 1 √3=?
is correct the answer is 1/√3
THANK YOU

Answers

Answer:

[tex]\huge\boxed{\text{Is inorrect. Correct answer is:}}\\\boxed{\dfrac{6-\sqrt3}{3}\neq\dfrac{1}{\sqrt3}}[/tex]

Step-by-step explanation:

[tex]\dfrac{\sqrt{12}-1}{\sqrt3}=\dfrac{\sqrt{12}}{\sqrt3}-\dfrac{1}{\sqrt3}=\sqrt{\dfrac{12}{3}}-\dfrac{1}{\sqrt3}=\sqrt4-\dfrac{1}{\sqrt3}\cdot\dfrac{\sqrt3}{\sqrt3}=2-\dfrac{\sqrt3}{3}\\\\=\dfrac{6}{3}-\dfrac{\sqrt3}{3}=\dfrac{6-\sqrt3}{3}\neq\dfrac{1}{\sqrt3}\\\\\dfrac{1}{\sqrt3}\cdot\dfrac{\sqrt3}{\sqrt3}=\dfrac{\sqrt3}{3}[/tex]

How many Solutions does 6 + x/5 = x/5 - 5 - 3x/10 have?

Answers

9514 1404 393

Answer:

  1 solution (x = -36 2/3)

Step-by-step explanation:

  6 + x/5 = x/5 - 5 - 3x/10 . . . . . . . given

  60 +2x = 2x -50 -3x . . . . . . . . . multiply by 10

  3x = -110 . . . . . . . . . . . . . . . .  add x-60 to both sides

  x = -110/3 = -36 2/3 . . . . . .divide by the coefficient of x

There is one solution to the equation.

_____

Additional comment

The coefficient of x on the left side of the equation is not equal to the coefficient of x on the right side. When that is the case, the equation will have one solution.

When the coefficients are equal, there will be no solutions if the constants are different, and there will be infinite solutions if the constants are the same.

Please help! How to do this? Ill give brainly

Answers

Answer:

c=60

d=45

Step-by-step explanation:

3c=180

c=60

4d=180

d=45

The temperature of a substance in an experiment changes by −8.7°F from 10 a.m. to 1 p.m. At 5 p.m., the temperature is 33.5°F. It is 2/3 of what the temperature was at 1 p.m. What was the temperature at 10 a.m. of the substance? Enter your answer as a decimal in the box.


PLS HELP

Answers

The temperature of the substance at 10am  =  63.95°F

Let the temperature at 10 am be x

The temperature changes by −8.7°F from 10 a.m. to 1 p.m

The temperature at 1 pm = x  -  8.7

At 5 p.m., the temperature is 33.5°F

The temperature at 5 pm = 33.5°F

The temperature at 5 pm is 2/3 of what the temperature was at 1 p.m

[tex]33.5 = \frac{2}{3} ( x-8.7 )[/tex]

Solve for x

3(33.5)  =  2(x  -  8.7)

110.5  =  2x  -  17.4

2x  =  110.5 +  17.4

2x   =  127.9

x   =  127.9/2

x   =  63.95°F

The temperature of the substance at 10am =  63.95°F

Learn more here: https://brainly.com/question/25522357

pls help its an image scroll down

Answers

Answer:

D. y = 3x + 9

Step-by-step explanation:

Use the point-slope formula to find the equation in slope-intercept form.

[tex]y-y_1=m(x-x_1)\\\\y-33=3(x-8)\\\\y-33=3x-24\\\\y=3x+9[/tex]

Explain what a graph for Jed’s test scores {61%, 65%, 73%, and 79%} would look like if it was not misleading. Make sure it is different than Jed’s graph – that some may say is misleading.

Answers

Answer:

61

  ^

  ^

  ^                                                                 65                                 73

  ^                                      79                        ^                                  ^

  ^                                      ^                           ^                                  ^

                                                                 

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

  Test 1                            Test 2                   Test 3                       Test 4

Answer: the test doesn't explain the order it was taken or dates. So it can be misleading

Step-by-step explanation:

Pls Help! Worth 8 Points Will Give Brainlest ​

Answers

Answer:

D. x - 5

Step-by-step explanation:

The text said that Sienna's hight is LESS than her brothers hight and less = minus

Answer:D

Step-by-step explanation:hope i helped i love helping people like you. :)

Segments KN and LM are transversals. What is true about the measure of angle N?

Answers

Answer:

It is congruent to M

Step-by-step explanation:

change the following numbers to decimals and round to the nearest hundredth 3÷4 and ✔10​

Answers

Answer:

0.75 and 10.00

Step-by-step explanation:

Determine the slope and y-intercept of a line that passes through the points (2, 4) and (–4, 1).
m = [ A. –2.5 , B. –1.5 , C. 0.5 ]
b = [ A. 3, B. 7, C. 9 ]

Answers

Answer:

m = [C. 0.5]b = [A. 3]

Step-by-step explanation:

Slope- intercept form:

y = mx + b, where m is the slope, b is the y-intercept

Given points:

(2, 4) and (-4, 1)

The slope is:

m = (1 - 4)/(- 4 - 2) = - 3/ - 6 = 1/2 = 0.5

Use point (2, 4) to find the value of the y-intercept:

y = mx + b4 = 0.5*2 + bb = 4 - 1b = 3

Need help with this geometry question

Answers

The Answer Is Number 1

Answer:

The first option:yellow shirt, white trouseryellow shirt, black trousergreen shirt, white trousergreen shirt, black trouser

Step-by-step explanation:

To find the possibilities, you would see that you would have two yellow shirts and two green shirts with different trousers, so you can eliminate the bottom two. And because there will be two of each shirt with defferent trousers, it will be the same for trousers: two of each trouser will be in the possibilities. The only one that fits this description, is the first one.

yellow shirt, white trouser

yellow shirt, black trouser

green shirt, white trouser

green shirt, black trouser

Henry steps onto an elevator at the first floor. He goes up to the 9th floor and then comes down 2 floors. He then goes up 4 floors and down 6 floors. What floor is Henry on?

Answers

Answer:

He is on the 5th floor

Step-by-step explanation:

9 - 2 = 7

7 + 4 = 11

11 - 6 = 5

Answer:

he goes 1 +9=10

10-2=8

8+4=12

12-6=6

so he is ont the sixth floor

Other Questions
Objects 1 and 2 attract each other with a gravitational force of 45 units. If the mass of Object 1 is doubled, then the new gravitational fore will be ______ units. ELEMENTOS DE LA DOCTRINA QUE SE CAMBIARON Which of the following are inferences made by the narrator? Check all of the boxes that apply. His mother did not play Scrabble as well as his father. His mother is not acting properly after the death of his father. His mothers actions show her lack of interest in Oskar and his feelings. His mother should have turned up the volume on the stereo. 1. I promise I will do the best of my _______________________ to finish this work. (able) 2. Have you got the first __________________________ of this magazine? (edit) 3. We learned how to write a letter of ________________________ in English last time. (inquire) 4. This letter envelope doesnt have the address of ________________________. (receive) 5. This product has been _______________________ on TV for some weeks. (advertisement) 6. Id like some ______________________ about your school. Can you send me details of courses? (inform) 7. I think we should go to this school because it has excellent ________________________. (repute) 8. Helping the _______________________ children is one of our clubs activities. (able) 9. The police asked the witness to give a _______________________ description of the robbery. (detail) 10. Most of the countrysides are ________________________ poor. (culture) Determine if the verb "gustar" will besingular or plural:Me__los chocolates.A. gustaB. gustanC. gusto Will took a nap for 2 hours and 40 minutes. If he woke up at 5:05 what time was it when he started his nap Please answer the picture Leonardo's technique of painting which envelops the figures in a delicate veil of smoky, misty haziness is termed: Question 27A prokaryotic cell has which of the following?ACentriolesBLysosomesCPlasma membraneDMitochondriaEndoplasmic reticulum Necesito un ensayo expositivo sobre los deportes para maana debe tener al menos 3 prrafos (Introduccin, desarrollo y conclusin. Debes aadir las referencias al final.por favor :( How can you tell if you are finished solving a polynomial division problem? In which sentence is the participlephrase punctuated correctly.?A. Smashing my toe I ran into the table.B. Running into the table I smashed my toe.C. I running into the table smashed my toe.D. Running into the table, I smashed my toe. Dad bought 4 large pizzas. He ate 1 4/6 pizzas for dinner on Monday and 1 3/6 pizzas for lunch on Tuesday. How much pizza was left? how do i simplify these?. X x X x X.Y x Y x Y x Y x Y The name of Henry Clay's plan to improve the nation's economy was called the ________ System.answer is American help pls its due tomorrow ill give brainliest How do I get rid of my Self harm scars?? Name and explain the product that was invented shortly after moving pictures? Which company developed this invention? State three means of operating a power tool A survey found that 27% of high school students and 94% of teachers and school employees drive to school. The ratio of students to employees is about 10 to 1. Roger states