The sum of the digits of a given two digits the new numbers is 5 .if the digits are reversed, the new number is reduced by 27 . find the given number ​

Answers

Answer 1

Answer:. The numbers are 41 and 14

Step-by-step explanation: X and Y represent the digits. In the Tens place, the digit has 10× its base value. Therefore we can set up equations to model the information given:

10x+y = 10y + x +27

X + Y = 5

y =5-x rewritten to substitute for y

10x + 5-x = 10(5-x)+x +27

Distribute and then combine like terms:

9x +5 = 50 - 9x +27

Add 9x to both sides; subtract 5 from both sides.

9x +9x = 50+27-5

18x = 72 Combine like terms. Then divide both sides to solve for x.

x = 4

4+y=5 Substitute 4 for x; solve for y.

y=1

Substitute values of x and Y into the original equation and check.

40 +1 = 10 +4 + 27

41 = 14+ 27

True! 41=41

The numbers are 41 and 14.


Related Questions

HELP!!
ASAP
Worth 10 points

Answers

Answer:

integers

Step-by-step explanation:

they wouldnt be whole numbers because there are opposites involved, but they wouldnt be just classified as rational because they have the requirements to be classified as integers

The answer is an integer.

An integer is any whole number (negative or positive) that is not either a decimal or a fraction.
A whole number is all the positive whole numbers including 0.
A Rational Number can be made by dividing two integers.
(An integer is a number with no fractional part.)


Which one is correct please hurry..the audio is just reading the question

Answers

Answer:

3/29

Step-by-step explanation:

Step-by-step explanation:

ahsjsjsjajajajjahajaiaiaijzjsbwbw

You are printing out information packets for your company. You will need a total of 6,400 pages to complete all of the packets. How many reams of 500 pages each will you need in order to print out all of these packets?

Answers

Answer:

13 reams

Step-by-step explanation

Given

Total number of pages to complete the packet = 6400 pages

If each ream contains 500pages, then:

Total number of reams needed = Total pages/number of pages per ream

Total number of reams needed = 6400/500

Total number of reams needed = 12.8

Hence you will need about 13 reams for all the packets

Which of the following best describes the slope of the line below?

Answers

Answer:

c.positive

Step-by-step explanation:

HELPPP PLEASE THIS IS DUE IN 20 MINUTES, GIVE ME THE ACTUAL ANSWERS OR ELSE I WILL REPORT

Answers

Answer:

Step-by-step explanation:

1.

2.

3.

WILL GIVE BRAINLIEST PLS HELP
Write each of
these ratios in
their simplest form.
A) 3:9 B) 12:36 C) 13:39 D) 71:213
E) 142:213 F)38:57 G) 33:44 H) 31:42

Answers

a) 1:3

b) 1:3

c) 1:3

d) 1:3

e) 2:3

f) 2:3

g) 3:4

h) 31:42

Step-by-step explanation:

3:9=1:3

12:36=1:3

13:39=1:3

71:213=1:3

142:213=2:3

38:57=2:3

33:44=3:4

the simplest form of 31:42 is 31:42 because 31 is prime number so we can't divide it.

The formula for the area of a trapezold with altitude k and bases m and n is A=k/2(m+n)
Solve for m.

Answers

Answer:

[tex]m=\frac{2A-kn}{k}[/tex]

Hence, option C is true.

Step-by-step explanation:

Given the expression

[tex]A=\frac{k}{2}\left(m+n\right)[/tex]

Solving for 'm'

[tex]A=\frac{k}{2}\left(m+n\right)[/tex]

Flip the equation

[tex]\frac{k}{2}\left(m+n\right)=A[/tex]

Expanding by applying the distributive law: [tex]a\left(b+c\right)=ab+ac[/tex]

[tex]\frac{1}{2}km+\frac{1}{2}kn=A[/tex]

Add (-1)/2 × kn to both sides

[tex]\frac{1}{2}km+\frac{1}{2}kn+\left(-\frac{1}{2}kn\right)=\left(-\frac{1}{2}kn\right)+A[/tex]

simplify

[tex]\frac{1}{2}km=-\frac{1}{2}kn+A[/tex]

Divide both sides by k/2

[tex]\frac{\frac{1}{2}km}{\frac{k}{2}}=\frac{-\frac{1}{2}kn+A}{\frac{k}{2}}[/tex]

[tex]m=\frac{2A-kn}{k}[/tex]

Therefore,

[tex]m=\frac{2A-kn}{k}[/tex]

Hence, option C is true.

Selecting an SUV with a blue exterior?

Answers

Answer:

good choice in vehicle!

Step-by-step explanation:

Please help me 19 points for whoever answers number 3

Answers

15%

amount error is guess subtract actual amount 198-172 = 26
26/172 = 0.15
0.15 x100 = 15%
15% the person above is correct

What is the solution to this inequality?
-6x + 5 > -1

A: x > -1
B: X 1
D: X < -1

Answers

Step-by-step explanation:

-6x + 5 > -1

-6x > -6 (subtract 5 on both sides)

x < 1 (divide -6 on both sides, flip the sign)

Hence the answer is x < 1.

Answer:

b i hope

Step-by-step explanation:

which expression shows the correct way to expand (6x-6)^2?

Answers

Answer:

[tex](6x -6)^{2} = (6x +6)(6x +6) = 36x^{2} -72x + 36[/tex]

Step-by-step explanation:

Even if I don't know the options I can give all the option that will be right for expending this. Just look at each step and see which one is one of the options.

[tex](6x -6)^{2} = (6x +6)(6x +6) = 36x^{2} -72x + 36[/tex]

Would the answer be 8?

Answers

Answer:

Step-by-step explanation:

yes i think so because from point d to point s it’s 4 and then from a to l it’s the same length so i do think it would be 8. 4+4 is 8

Solve for x:
2x + y = -2
4x + y = -8

Answers

Answer:

x = -3

Step-by-step explanation:

2x + y = -2

4x + y = -8

2x + y = - 2

y = -2x - 2

4x + y = - 8

y = -4x - 8

y = -2x - 2

y = -4x - 8

-2x - 2 = -4x - 8

4x - 2x = 2 - 8

2x = -6

2x/2 = -6/2

x = -3

To check just use da graph ;w;

The x is -3

Answer:

Step-by-step explanation:

x=  −1 −y/2

x= 4 −8−y/4

What is the constant for 5c2+7d

Answers

Answer:

2

Step-by-step explanation:

5 and 7 are the coefficients if you need them

5 - ( m - 4 ) = 2m + 3 ( m -1 )

Answers

Answer:

m=2

Step-by-step explanation:

The library is 6 miles east of the city hall. The mall is 10 miles west of the library. How far and in what direction is the mall from the city hall? A. 16 miles west B. 16 miles east C. 4 miles west D. 4 miles east

Answers

Answer:

b

Step-by-step explanation:

Answer:

4 miles west

Step-by-step explanation:

Help please ASAP please I’ll mark you as brainlister

Answers

Answer:

a = 4

Step-by-step explanation:

[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]

[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]

[tex] \tan(theta) = \frac{opposite}{adjacent} [/tex]

hypotenuse = a

opposite = 2√3

adjacent = b

theta = 60°

the best formula to use is the first formula cause we have all the values to substitute in it in order to find the value of a

[tex] \sin(60) = \frac{2 \sqrt{3} }{a} [/tex]

[tex] \frac{2 \sqrt{3} }{ \sin(60) } = a[/tex]

[tex]4 = a[/tex]

[tex]a = 4[/tex]

A standard die is rolled twice find each probability.

Answers

Answer:

1/6

Step-by-step explanation:

Because u have a 1/6 chance of getting any of the numbers

The tens digit is twice the units digit. Reverse the digits, add 2 and the new number is 34 less than the original number. Find the original number.

Answers

Answer:

Step-by-step explanation: X and Y represent the digits.

The tens digit is twice the units digit.

The digit in the Tens place has 10× its base value, so we can set up equations to model the information given.

10x +y 10y +x are Original & Reversed numbers

X = 2y means the Tens digits is twice the units digit.

10y + x +2 = 10x +y - 34 models the statement: The reversed number plus two is 34 less than the original number.

Substitute 2y for x to solve for y

10y +2y +2= 10(2y) + y -34

Distribute and combine like terms

12y + 2 = 20y +y - 34

34 +2 = 21y -12y

36 = 9y Divide both sides to find the value of y.

4 = y

X = 2(4) Substitute 4 for y to find x

X = 8

Original number: 84 Reversed number: 48

Substitute into equation model

48 +2= 84 -34

50 = 50

True!

A square of side 72 cm and a rectangle of length 90 cm have same perimeter. Find the difference in areas ?

A)216cm2
B)304cm2
C)324cm2
D)328cm2

Answers

Answer:

324 cm²

Step-by-step explanation:

→ Work out perimeter of square

72 + 72 + 72 + 72 = 288

→ Work out the width of the rectangle

288 - (90 × 2) = 108

108 ÷ 2 = 54

→ Work out area of square

72 × 72 = 5184 cm²

→ Work out area of rectangle

90 × 54 = 4860 cm²

→ Minus the areas from each other

5184 cm² - 4860 cm² = 324 cm²

Answer:

C) 324cm²

Step-by-step explanation:

1) they have the same perimeter so to find it you add all four sides of the square because they are all the same ( 72+72+72+72=288)

2) now you multiply 90 by 2 because the rectanglehas to sides of the same length(90×2=180) the answer you get you are going to subtract to 288 (288-180=108)

3) now divide 108 by 2 (108÷2= 54) the answer you get equals the width of the side of the rectangle

4) to get the area of the rectangle you multiply 54 with 90 (54×90=4,860) to get the area of the square you multiply 72 times 72 (72×72=5,184)

5) now you subtract 5,184 and 4,860 ( 5,184-4,860= 324cm²)

Marcus is building a fence around his rectangular backyard. The length of his backyard is
75
3/4

ft, and the width is
81
1/4

ft. If the fence is
3/4

finished, how much fencing is left to complete?

Answers

Answer:

4,923.75ft²

Step-by-step explanation:

The area of the backyard = Length * width \

Area of the backyard = 75 3/4 * 81 1/4

Area of the backyard = 303/4 * 325/4

Area of the backyard = 6,154.6875ft²

If 3/4 of the fence is finished, the area of the finished part is expressed as;

Finished part = 1/5 * 6,154.6875

Finished part = 1,230.9375ft²

Part left unfinished = 6,154.6875-1,230.9375

Part left unfinished  = 4,923.75ft²

Answer:235.5

Step-by-step explanation:

75 3/4= 75.75 (L). 81 1/4= 81.25 (W)

Perimeter= 314 3/4 of 314 is 235.5

What is the simplified expression in the box by combing like terms and removing zero pairs?

-4 ( 2x+ 4) + 5

Answers

9514 1404 393

Answer:

  -8x -11

Step-by-step explanation:

Use the distributive property to eliminate parentheses. Then combine the constant terms.

  -4(2x +4) +5

  = -8x -16 +5

  = -8x -11

[tex]\sf \longmapsto-4 ( 2x+ 4) + 5[/tex]

[tex]\sf \longmapsto(−4)(2x)+(−4)(4)+5[/tex]

[tex]\sf \longmapsto−8x+−16+5[/tex]

[tex]\sf \longmapsto(−8x)+(−16+5)[/tex]

[tex]\sf \longmapsto−8x+−11[/tex]

[tex]\sf \longmapsto - 8x - 11[/tex]

4) [59, 59,59,59,100,89,80,89] Find The Median and The mode​

Answers

Median is 69.5
Mode is 59

Write the equation of the line with the given slope and y Intercept.
m=0 b = -11

Answers

y=-11 As we input x and y in y=mx+b we know that slope is zero so the x drops therefore -11 remains as y-intercept and its parallel (-11,0)

triangle ABC has perimeter 22cm
AB= 8cm
BC= 5cm
by calculation deduce whether triangle ABC is right-angled triangle

Answers

9514 1404 393

Answer:

  not a right triangle

Step-by-step explanation:

The perimeter is 22, so we have ...

  AB +BC +CA = 22

  8 + 5 + CA = 22

  CA = 22 -13 = 9

If this is a right triangle, the sum of the squares of the short sides will be equal to the square of the long side.

  AB² +BC² = 8² +5² = 64 +25 = 89

This is not the same as ...

  CA² = 9² = 81

The triangle is not a right triangle.

_____

Additional comment

If you're familiar with a few Pythagorean triples, you know that a couple involving a side length 5 are (3, 4, 5) and (5, 12, 13). That is, (5, 8, 9) is NOT a Pythagorean triple, so you know immediately that those side lengths do not form a right triangle. (No calculation is necessary.)

what is the volume of the rectangular prism?

Answers

35 cm is the answer

Answer:

3[tex]\frac{3}{4}[/tex] cm³

Step-by-step explanation:

Find the value of x in the isosceles triangle

Answers

Step-by-step explanation:

Since all 3 sides of the triangle is equal, it is not only an isosceles, but an equilateral triangle.

x = 8sin60° = 6.928 or sqrt48.

That is a question about triangles.

In my answer I will show 2 ways to solve that question, ok? Let's go.

First way - Pythagoras's theorem

The line segment x divide the biggest triangle in 2 equals right triangles.

Let's choose one of them and note that is a triangule with hypotenuse equals to 8 and one cathetus equals to half of 8.

The Pythagoras's theorem says that:

[tex]\boxed{a^2 = b^2 + c^2}[/tex]

a is the hypotenuse and b and c are cathetus.

So, in our case, we know the hypotenuse and one cathetus, let's substitute that in the expression:

[tex]a^2 = b^2 + c^2\\8^2 = 4^4 + c^2\\64 = 16 + c^2\\c^2 = 64 - 16\\c^2 = 64 -16\\c^2 = 48\\c = \sqrt{48}\\c= 4\sqrt{3}[/tex]

Therefore, the value of x is [tex]4\sqrt{3}[/tex].

Second way - The equilateral triangle height

That way to solve the question is a consequence of the previous way.

That triangle has all the sides equals, so it is a equilateral triangle.The line segment x is the height of that triangle. And we can find the equilateral triangle height using that expression:

[tex]\boxed{h = \frac{S\cdot \sqrt{3} }{2} }[/tex]

h is the height and S is the triangle's side.

So, we know that the side of our triangle is 8. Let's change S value in the expression:

[tex]h = \frac{S\cdot \sqrt{3} }{2} \\h = \frac{8\cdot \sqrt{3} }{3} \\h = 4\sqrt{3}[/tex]

Thus, the value of x is [tex]4\sqrt{3}[/tex].

Note that in the 2 ways we find the same result, so that answer is correct.

I hope I've helped. :D

Enjoy your studies! \o/

Algebra 1 Honors
BUSINESS a printing press valued at $120,000depreciates 12% per year. What will be the approximate value for the printing press in 7 years?
A. $19,200 B. $265,282 C. $49,041 D. $55,728

Answers

Answer:

19200

brainliest if correct

Explanation

12% of 120,000 = 14400

14400x7 = 100800

120,000 - 100800 = 19200

Factor as the product of two binomials

36+12x+x^2

Answers

Answer:(x+6) (x+6)

(x+6)^2

Step-by-step explanation:

36+12x+x^2

x^2 +12x +36

What 2 numbers multiply to 36 and add to 12

6*6 = 36

6+6 =12

(x+6) (x+6)

(x+6)^2

Khan said so:

(6+x) (6-x)

Which expression uses the greatest common factor and the distributive property to rewrite the sum 45 + 20?

5(9+4)​

9(5)+20

5(11+4)​

4(5+5)

Answers

5(9+4) is the correct answer
Other Questions
I hate people callingme early in the morning. Change into passive Can someone please help me on Number 3 Please :) The line passes through (6,3) and (-1,-8) The basal metabolic rate measures the rate at which a person's body burns food and nutrient __A.at restB.under stressC.while exercisingD.on average The dashed lines represent distances between players. Suppose that player 1 gets the ball from either player 2 or 3. The next move is for player 1 to pass the ball to either player 4 or player 5. Which of these two players (4 or 5) is closer to player 1? Justify your answer. What is the radius of the circle? How do plays differ from other stories? will pay give me cash appThey are written to be performed on a stage.They include events that are unrelated to the conflict.They include many more conflicts and characters.They are set indoors, usually within a single room. What is the value of n?2n 1 = 5 Find the value of x in the triangle shown below choose 1 answer Help plzz. The topic sentence of a paragraph is "Cheetahs are the fastest animal in the world." Which of the following details best belongs in this paragraph?A. If you see a cheetah, you should probably climb up a tree.B. Cheetahs have even been known to outrun an automobile.C. I like cheetahs because they sort of look like cats.D. I once saw a show about cheetahs on Wild Kingdom. 3 There are 5 times as many boys as girls in a school.Together the school has 810 pupils.How many boys are there? 2. Compare and contrast social policy with economic policy. What are some examplesof each policy? How might each type of policy address the same problem in a differentway? (5 points) When 3a? 7a+ 6 is subtracted from 4a? - 3a +4,the result is 16. In which of the following situations are the phenotypes of F2 offspring expected to followthe ratio of 9:3:3:1?a. monohybrid cross for two unlinked traitsb. a monohybrid cross for two closely linked traitsc. a dihybrid cross for two unlinked traitsd. a dihybrid cross for two closely linked traits What do you do to convert 0.02083 to 75 mph? Read the stanza from "I Wandered Lonely as a Cloud."(1) I wandered lonely as a cloud(2) That floats on high o'er vales and hills,(3) When all at once I saw a crowd,(4) A host, of golden daffodils;(5) Beside the lake, beneath the trees,(6) Fluttering and dancing in the breeze.Which line in this stanza uses repetition?Line 2Line 3Line 4Line 5 Here Paine challenges his opponents to bring reconciliation to the touchstone of nature. What does he mean? (A touchstone is a test of the quality or genuineness of something. From ancient times the purity of gold or silver was tested with a touchstone of basalt stone.) how to solve proportions Identify the complete sentence.A. Anne E. Kelley, a professor at the University of Wisconsin.B. Kelley studies the effects of the chemicals in chocolate.C. Including something called phenylethylamine.D. May actually prevent several serious diseases. The word nationalities contains the root nat. This root is also in the words native and natural.Based on this information, what does nationalities mean in the paragraph?Students in our junior high came from four different elementary schools. At the beginning ofthe year, our teachers gave us opportunities to get to know one another. They had us write andshare compositions about our homes and neighborhoods. They also encouraged us to talkand write about our nationalities, pastimes, and ideas.A.customsB.extended familiesC.beliefsD.places of origin