The sum of 2 numbers is 54. Their difference is 116. What are the numbers?

Answers

Answer 1

Answer:

Step-by-step explanation:

first, let the numbers be x and y.

so by question we have,

x+y=54.......(I)

x-y=116......(I I)

now, solve it through elimination method,

x+y=54

x-y=116

here, y and y cancelled out and we get,

or, x+x=54+116

or, 2x=170

or, x=170/2

therefore, x=85

now put value of x in any equation. let's put in eqn (I), we get,

or, x+y=54

or,85+y=54

or, y=54-85

so, y= -31

therefore, the numbers are 85 and - 31.


Related Questions

30 is what percent of 40?

Answers

Answer:

it is 75% sheeeesh. jdjdjd

Step-by-step explanation:

3/4

Answer:

75%

Step-by-step explanation:

Let the answer be 'x'

40 × x/100 =30

40x/100 = 30

40x= 3000

x =3000÷40

x= 75

thus 30 is 75% of 40

What is the measure of an angle that is 3/6 of a circle?

Answers

Answer:

180 degrees

Step-by-step explanation:

A whole circle is 360 degrees and 3/6 of that (or 1/2) is 180 degrees. I hope this helps!

Why does everyone expect people to awnser questions but they never awnser any them selves like I need help and I've helped loads of people with their questions but not even a single one of my questions are awnsered people just want fee points so they pick easy questions not cool

Answers

Answer:

thats crazy bro

Step-by-step explanation:

Answer:

This is very true

Step-by-step explanation:

I know how you feel

Evaluate without a calculator:


cot -270°

Answers

Answer:

0

Step-by-step explanation:

The cotangent function is defined as cot x = adj / opp.

The terminal side of 270 degrees is the lower half of the y-axis.  The adj side is zero (0) and the opp side is -1;

Therefore, cot (-270 degrees) = adj / opp = 0/(-1) = 0

The required answer is cot(-270°) is undefined

Given that cot(-270°).

To evaluate cot(-270°) without a calculator, use the trigonometric properties and definitions.

First, let's recall the definition of the cotangent function. The cotangent of an angle is defined as the ratio of the adjacent side to the opposite side in a right triangle.

cot(theta) = adjacent side / perpendicular

When we consider -θ, it represents a reflection or rotation of θ about the origin. This reflection does not affect the ratio of the adjacent side to the opposite side in a right triangle.

Thus, cot(-θ) = cot(θ).

In this case, dealing with an angle of -270°. Since angles can be measured counterclockwise, -270° represents a rotation of 270° clockwise from the positive x-axis.

At -270°, the terminal side of the angle lies on the negative y-axis.

cot(-270°) = cot(270°)

Since 360° - 270° equals 90°, cot(360° - 270°) = cot (90°)

At 90°, the terminal side of the angle lies on the positive y-axis.

In a right triangle formed with the terminal side of the angle, the adjacent side and the opposite side are both zero.

Since the cotangent is the ratio of the adjacent side to the opposite side, and both sides are zero in this case, the cotangent of -270° is undefined or "not defined."

Therefore, cot(-270°) is undefined.

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Jackson is starting an exercise program.The first day he will spend 30 minute on a treadmill by 2 minutes each day.Write an equation for t(d),the time,in minutes,on the treadmill on day d

Answers

Answer:

For the d day Jackson exercised for t(d)=  30 + 2d where d is the number of day.

t(d)= 30 + 2d

Step-by-step explanation:

Let the total time on the treadmill be given by y each day and let x take the values of number of the days exercised . For the first day x= 0  and so on.

Therefore

For the first day Jackson exercised for  30 minutes

y= 30 + 2x

y= 30 + 2(0)

y= 30 minutes

For the second day Jackson exercised for (x=1) 32 minutes

y= 30 + 2x

y= 30 + 2(1)

y= 32 minutes

For the third day Jackson exercised for (x=2) 34 minutes

y= 30 + 2x

y= 30 + 2(2)

y= 34 minutes

For the fourth day Jackson exercised for (x=3) 36 minutes

y= 30 + 2x

y= 30 + 2(3)

y= 36 minutes

For the d day Jackson exercised for (x=d) 30 + 2d where d is the number of day.

y= 30 + 2x

y= 30 + 2(d)

y= 30 + 2d


A. (-1,2)
B. (-2,4)
C. (2, -1)
D. (4, -2)

Answers

B :))) hope this helps!

Express 9.25. as a fraction in its simplest form

Answers

Answer:

9 1/4

Step-by-step explanation:

9.25-9=0.25

0.25 =1/4

9 1/4

The system of linear equations represented in the graph is ______
The solution of this system of equations is ____

Answers

Answer:

(- 3, - 5 )

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

The lines intersect at (- 3, - 5 ) ← solution

Answer:

The system of linear equations represented in the graph is y=x-2, y=3x+4.

The solution of this system of equation is (-3,-5)

For a National Junior Honor Society Induction Celebration, Ahmed is renting tables and chairs. He wants to have only tables for 4 and tables for 2. The total number of people that can be seated in the school cafeteria with these tables is 80. Describe some possible combinations (at least 2) of 4-seat tables and 2-seat tables that will seat 80 customers. Explain how you found them (you can show the equations; using numbers instead of words).

Answers

Answer-:

There are different combinations you can do.... for example

10 tables of 4 and 20 tables of 6

or

25 tables of 4 and 10 tables of 6

so Im not sure which :/ but the equation would be:

10x+20y=160

or

25x+10y=160

there are different combinations of the two so im  not sure T_T

The End

2) Find the area. Show All your work for full credit.

Answers

Answer:

35

Step-by-step explanation:

hi you would use the equation 1/2 b *h which is = to 1/2*14*5 which equals 35. Hope this helps thanks :)

What is the volume of a hemisphere with a radius of 4.9 ft, rounded to the nearest
tenth of a cubic foot?

Answers

The volume of the hemisphere with the given value of radius to the nearest tenth is 246.4 cubic foot.

Hemisphere

A hemisphere is gotten when a sphere is cut into two equal halves.

The volume of a hemisphere is expressed as;

V = (2/3)πr³

Where r is the radius and π is pi ( π = 3.14 )

Given the data in the question;

Radius of the hemisphere r = 4.9ftVolume of the hemisphere V = ?

To determine the volume of the hemisphere, we substitute our values into the expression above.

V = (2/3)πr³

V = (2/3) × π × (4.9ft)³

V = (2/3) × π × 117.649ft³

V = 246.4ft³

Therefore, the volume of the hemisphere with the given value of radius to the nearest tenth is 246.4 cubic foot.

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The figure below is a net for a right rectangular prism.
7 m
8 m
7 m
14 m
7 m
7 m
What is the surface area of the right rectangular prism, in
square meters?

Answers

The surface area of the right rectangular prism has a length of 7 m, a width of 8 m, and a height of 14 m, is 532 square meters.

What is a rectangular prism?

A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.

The figure below is a net for a right rectangular prism.

Then the surface area of the rectangular prism will be

Surface area = 2(LW + WH + HL)

Surface area = 2(7 × 8 + 8 × 14 + 14 × 7)

Surface area = 2(56 + 112 + 98)

Surface area = 2 × 266

Surface area = 532 square meters

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Some of answers use 3,14 as a substitute for pi.
Some use the symbol for pi. which type of answers
more accurate? The more accurate value is
is

Answers

Personally i think that if you use the pi symbol it would be more accurate because on a calculator there is an pi symbol √ which is the same it will give you an answer closer to an whole number.

can anyone explain this to me?

Answers

there are 3 angles, the measure of angle 1 is 55.2° and etc, you want the angles to add up to 180° i think

55.2+34.7= 89.9

180-89.9= 90.1

x=90.1

Find the volume of a pyramid with a square base, where the perimeter of the base is
18.5 ft and the height of the pyramid is 7.6 ft. Round your answer to the nearest
tenth of a cubic foot.

Answers

Answer:

132 cm. 3. 3. a rectangular pyramid with a height of 5.2 meters and a base 8 ... 7. an oblique cone with a height of 10.5 millimeters and a radius of 1.6 ... base is about 15,400 square feet, find the volume of air that the ... ANSWER: 32.2 ft. 3. Find the volume of each solid. Round to the nearest tenth. eSolutions ...

Step-by-step explanation:

If f(x) = -8x - 4 and g(x) = x+3 which statement is true?

Answers

Answer:

Step-by-step explanation:

F(x)=-8x-4. G(x)= x+3

-8x-4-x-3=-9x-7

solve x
8(3x+6)=9(2x−4)

Answers

Answer: -48

Step-by-step explanation:

Answer:

x=-14

Step-by-step explanation:

Expand 8(3x+6)

a=8 b=3x c=6

=8*3x+8*6

Simplify; 8*3x+8*6

=24x+48

Expand 9(2x-4)

a=9, b=2x, c=4

=9*2x-9*4

Simplify;9*2x-9*4

=18x-36

24x+48=18x-36

Subtract 48 from both sides;

24x+48-48=18x-36-48

Simplify;

24x=18x-84

Subtract 18x from both sides;

24x-18x=18x-84-18x

Simplify;

6x=-84

Divide both sides by 6;

6x/6=-84/6

Simplify; 6x/6

=x

Simplify ; -84/6

x=-14

Helped by none other than the ONE & ONLY #QUEEN herself #DRIPPQUEENMO !

A number decreased by 9 is 12. Which equation represents this situation?

Answers

Answer:

x - 9 = 12

Step-by-step explanation:

We can use x as "a number"

So the equation so far is just "a number", or x.

Decreased by 9 can also be said as subtracted by 9, so that makes the equation x - 9.

"is 12" can also be said as equals 12, which makes the equation x - 9 = 12

Answer:

_ - 9 = 12

Step-by-step explanation:

You can identify the starting number by adding 9 and 12 together to get 21. The completed equation would be 21 - 9 = 12.

HELPP ME PLEASE!!!!!

Answers

Answer:

-6×-4 and -2×-12 are pairs

-3×4 and 6×-2 are pairs

-8×-2 and 4×4 are pairs

the rest are left overs

Why is it important for cities and towns to mitigate natural hazards?

Answers

Answer:

It is important so that people don't get hurt by the natural disasters.

Step-by-step explanation:

I just used common sense..

Hope this helps! :)

The surface area of a cylinder is 500 square feet; the lateral surface area is 320 square feet. Give the area of a base.

Answers

Answer: try your best

Step-by-step explanation:

Mr. Dilberts rectangular swimming pool is surrounded on all sides by a 4-foot wide brick walkway

What is the area of the walkway?
A. 302ft
B. 192ft
C. 96ft
D. 247ft

Please help

Answers

Answer: 192 ft

Step-by-step explanation:

The area of the walkway will be 96 square feet.

Hence, The correct option is C.

What is the area of the rectangle?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that;

The dimensions of the crosswalk are,

19 feet

And, 5 feet

Hence, The area of the cross-walk will be calculated as below,

Area = Length x Width

Area = 19 x 5

Area = 96 square feet

Therefore, The area will be equal to 96 square feet.

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Use the distributive property to write an expression that is equivalent to 6(w - 4)

Answers

Answer:

6w-24

Step-by-step explanation:

You would distribute 6 into the parentheses, which would turn (w-4) to 6w-24

Answer:

(w - 4)6

Step-by-step explanation:

its the same exact thing but if you're looking for the simplified version then it's 6w-24

which type of polynomail is 4x-3

Answers

Answer:

Binomial

Step-by-step explanation:

Answer:

Binomial

Step-by-step explanation:

Which expressions have a value that is 8 times as much as the sum of 10 and 9? Select the correct answers.
0- 8 x (10 + 9)
1 - 8 x 10 + 9
2- 10 + 9 x 8
3- (10 + 9) x 8
4- (10 x 8) + 9​

Answers

Answer:

3

Step-by-step explanation:

(10+9) = 19

19×8 =152

when you divide 152by8 you still get 19 which is the sum of 10+9

please help me thank you
i have 2MINUTES LEFTT

Answers

Answer:

55°

Step-by-step explanation:

2 is congruent with 1

I need help with this!

Answers

Answer:

5 11/24

Step-by-step explanation:

Answer:

please stop using my art

Step-by-step explanation:

i am unable to message you but you are using my art as a profile picture and am asking you to change it.

this is my old SC: kumorizorai_sky (asteriskP old account) which is also the image source. and i dont even care if i get banned. i need you to change it.

Can someone please help?

Answers

Answer:

54

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Can you guys please help! (

Answers

Answer:

1) A

2) it is lesser with 7cubes

Step-by-step explanation:

because

[tex]2 \times 5 \times 2 = 20cubes \: whilst \: \\ b \: has \: 3 \times 3 \times 3 = 27cubes[/tex]

Abigail runs a 35 mile race. After an hour she has run 20% of the race. How far did Abigail run in an hour?

Answers

Answer:

7 miles

Step-by-step explanation:

35 x 0.2 = 7 miles

Answer:

7 mile

Step-by-step explanation:

In 1 hour, Abigail covers 20% of total distance.

In 1 hour, Abigail covers 20% of 35 mile

In 1 hour, Abigail covers (20/100 × 35) = 7 mile

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