The tens digit of a two digit number is five more than the units digit. Seven times the sum of the digits of this number is 3 less than the number itself. Find the number.

Answers

Answer 1

Answer:

94

Step-by-step explanation:

Let the unit's digit = [tex]y[/tex]

Let the ten's digit = [tex]x[/tex]

Then the number will be equal to [tex]10x+y[/tex]

Now, using the given statement:

[tex]x=y+5 ..... (1)[/tex]

[tex]7(x+y) = 10x+y-3\\\Rightarrow 7x+7y=10x+y-3\\\Rightarrow 6y-3x=-3 ..... (2)[/tex]

Now, using the equation (1) in equation (2):

[tex]6y-3(y+5) =-3\\\Rightarrow 3y-12=0\\\Rightarrow y =4[/tex]

By equation (1):

[tex]x = 4+5 \\\Rightarrow x =9[/tex]

Therefore, the number is :

[tex]10x+y= 10\times 9 +4 = \bold{94}[/tex]


Related Questions

Whoever can answer this correctly gets Brainliest + 20 Points! Make sure to explain to me how you got your answer so I can understand and be on the same page as you.

Answers

Answer:

1.

Step-by-step explanation:

both A and B are functions

Guys quickly what is 1% of 75?

Answers

Answer:

the answer is 0.75

...................................

Isn’t it .75 ??

I’m not sure I forgot how to do this

may someone please tell me the answer

Answers

The third one is the correct answer

divide nine by three, then subtract two double the results

Answers

Answer:

2

Step-by-step explanation:

hope this helps

Answer:

-3

Step-by-step explanation:

because nine divided by 3 is 3 then subtract 3 which is 0 then subtract 3 again which is -3

find the number of words with or without meaning , which can be made by using all the letters of word ganga

Answers

Answer:

There are total 5 letters , of which A occur two times and G occur 2 times

Therefore , The number of permutations starting with A is 4! i.e 24

Thus , 25th word will be start from G i.e GGAAN

By rearranging according to the dictionary , we get

The 26th word will be GGANA

Hence , the 26th word is GGANA

Answer:

30

Step-by-step explanation

total number of letters in the word, n = 5

out of which G and A repeats 2 times each

p1 = p2 = 2

according to the equation of number of permutations,

= [tex]\frac{n!}{p_{1}! p_{2}! }[/tex]

total number of words = 5!/ (2! x 2!)

                                      = 30

the sum of a number and 6 is no less than 31​

Answers

Answer:

n + 6 > 31

Step-by-step explanation:

Express 0.00419 in standard form

Answers

the standard form is 4.19•10^-3

What is the correct factorization of:
x? - 11x + 18

Answers

9514 1404 393

Answer:

  x² -11x +18 = (x -9)(x -2)

Step-by-step explanation:

The x-coefficient is the sum of the constants in the binomial factors; the constant term is their product. It usually works well to look for factors of the constant that have the right sum. Here, both must be negative.

  18 = (-1)(-18) = (-2)(-9) = (-3)(-6)

The factors -2 and -9 have a sum of -11, so those are the binomial constants of interest. The factorization is ...

  x² -11x +18 = (x -9)(x -2)

What is the value of x?
-5x – 2 = -13

Answers

Answer:

2.20

Step-by-step explanation:

So add +2 both sides that cancels 2 and that makes it -11.00 now divide it by -5 and x is by itself

So when you divide it x=2.20

Hope that helps

Answer:2.2 there you go have a nice day

A scientists finds the bones of a dinosaur. What could help the scientists determine the approximate age of the dinosaur bones?

A. The weather conditions in the area of the bones.

B The index fossils in the area of the bones.

C The birds living in the area of the bones

D The kinds of trees living in the area of the bones.

Gibe brnliestttn ugly lol :V

Answers

Answer: B, the index fossils in the area of the bones.

(I do need 1 more brainliest to rank up, so if my answer is correct, that would be great, sorry if I sound rude.)

5. What three consecutive integers have a sum of 21?

Answers

The answer is 6,7,8.

SOMEONE JUST GIVE ME THE ANSWER

Answers

Answer: I thought I saw options in the corner could you give me the options? And then I'll give my answer in the comment box;) no worries we'll figure it out!! :)

Step-by-step explanation:

Answer:

Area is 68x^2 the missing number by 3x is 5 and the missing number at the bottom is 4.

Step-by-step explanation:

There are 12 applicants for financial aid. The Scholarship allows four students to receive the money. How many different ways can these scholarships be awarded? The first scholarship is $1000, the second is $750, the third is $500, and the last is $250. Only place a numeric value as an answer.

Answers

Answer:

495 ways

Step-by-step explanation:

Given that:

Total number of applicants (n) = 12

Required number (r) = 4

Using the combination formula :

nCr = n! / (n-r)!r!

12C4 = 12! / (12 - 4)!4!

12C4 = 12! / 8!4!

12C4 = (12*11*10*9) / 4*3*2*1

12C4 = 11880 / 24

= 495 ways

If y = 45 when x = 180, what is the y when x= 90

Answers

Answer:

24.5

Step-by-step explanation:

Since 180 is double 90 divide 45 by 2 and you'll get 24.5

What is the area of this polygon on a coordinate plane?

20 square units
9 square units
3 square units
14 square units

Answers

Answer:

i need a picture or something to solve this so...

Step-by-step explanation:

In ΔDEF, d = 9.8 cm, e = 9.2 cm and f=4.7 cm. Find the measure of ∠E to the nearest degree.

Answers

Answer: 69

Step-by-step explanation: Trust

PLEASE HELP!!

Enter numbers into the table so that the paired values are in a proportional relationship.

x 2 6 8 (?) 20
y (?) 3 4 6 10

fill the (?) in.

Answers

Answer: x is, 2 6 8 10 20-- i think

Step-by-step explanation: y is, 2 3 4 6 10

Answer:

ya he's rite

Step-by-step explanation:

4x^2-21x-18=0
Find the discriminate

Answers

a = 4, b = -21, c = -18

to keep from getting "mixed up", evaluate the discriminant first ...

b<sup>2</sup> - 4ac = (-21)<sup>2</sup> - 4(4)(-18) = 729

sqrt(729) = 27

x = (21 +/- 27)/8

x = -3/4, x = 6

since the discriminant is a perfect square, the original quadratic will factor ...

4x<sup>2</sup> - 21x - 18 = 0

(4x + 3)(x - 6) = 0

x = -3/4, x = 6

Answer:729

Step-by-step explanation: Use the values of a, b and c to find the discriminant. Which is 729

An animal shelter spends $3.00 per day to care for each cat and $5.00 per day to care for each dog. Penelope noticed that the shelter spent $69.00 caring for cats and dogs on Tuesday. Penelope found a record showing that there were a total of 17 cats and dogs on Tuesday. How many cats were at the shelter on Tuesday

Answers

Answer:

x=16

Step-by-step explanation:

FREE 100 POINT GIVEAWAY PLS READ DOWN BELOW TO ENTER(YOU CAN ENTER IN THE COMMENTS TOO)
I'm going to be doing two random question (you can only answer each once) and ill post the giveaway so you can get your points- if the answer box is full then u can answer in the comment section too this time you must get both question right;)

1. How many ounces are in a basic water bottle
2. Thinking of a letter H-N

Answers

Answer:

I think like 16.9 fluid ounces

K

Step-by-step explanation:

Answer:

<3

Step-by-step explanation:

You are a landscaper, and you are designing a fence to enclose part of a yard. The section to be enclosed is rectangular and has a width of 21 feet and a length of 38 feet. What length of fence, in feet, will you need to enclose this part of the yard? 59 60 118 120 798

Answers

Answer:

If you draw this out, you can see that total fence equation will be:

2L + 4W = 1200

Simplify, divide by 2

L + 2W = 600

L = (600-2W)

:

Area;

A = L*W

Substitute (600-2W) for L:

A = (600-2W)*W

A = -2W^2 + 600W; a quadratic equation

 

:

The dimension that will produce the greatest area will be the "axis of symmetry

which is: x = %28-b%29%2F%282a%29

:

In this equation a=-2, b=600

W = %28-600%29%2F%282%2A-2%29

W = %28-600%29%2F%28-4%29

W = +150 ft is the width

:

Find the length

L = 600 - 2(150)

L = 300 ft is the length

:

We can say the a field 300 by 150 gives he greatest area

:

This illustrated on a graph where y axis is the area and x axis is the width:

Step-by-step explanation:

Answer:

798

Step-by-step explanation:

21x38=798

HELP PLEASE :) * giving brainliest*

Solve the system of equation. Write the solution as a coordinate point

Answers

Answer:

(2,16)

Step-by-step explanation:

y=-x+18

y=8x

8x=-x+18

8x+x=9x

-x+x=0

9x=18

9x/9=x

18/9=2

x=2

y=8(2)

y=16

Answer:

(2,16)

Step-by-step explanation:

Step 1: Substitute -x+18 for y in y=8x:

-x+18=8x Add X to both sides

9x=18 Divide 9 by both sides

x=2

y=8(2)Plug in the new value for x(which is 2) into one of the equations

y=16

(2,16)

Hope this helped, good luck!

3
What are the zeros or x-intercepts of the parabola?
A) (0, -1) and (0,5)
B (2,0) and (-9,0)
C (-1,0) and (5,0)
D (0,-5) and (-5,0)

Answers

Answer:

C

Step-by-step explanation:

x-intercepts , when y=0 are

(-1,0) and (5,0)

Answer:

C

Step-by-step explanation:

The zeros are also known as x-intercepts so it is the points on the x axis.

For x-intercepts the y is 0 so it is (-1,0) and (5,0)

hope this helped :)

There are 4 green gumballs, 3 blue gumballs, and 6 red gumballs. What is the probability of getting a red gumball

ANSWER NEEDED ASAP

Answers

Answer:

6/13

Step-by-step explanation:

b/c it is 6 wanted amount out of 13 total amount

gil borrows $8000 for college expenses. he will pay a total of $2280 back in interest after 6 years. what was his interest rate

Answers

Answer:

R = 41.8129%/year

Equation:

r = (1/t)(A/P - 1)

Calculation:

Solving our equation:

r = (1/6)((8000/2280) - 1) = 0.41812865

r = 0.41812865

Converting r decimal to R a percentage

R = 0.41812865 * 100 = 41.8129%/year

The interest rate required to get a total amount, principal plus interest, of $8,000.00 from simple interest on a principal of $2,280.00 over 6 years is 41.8129% per year.

Step-by-step explanation:

Answer:

I believe it is 4.75 %

Step-by-step explanation:

2,280 × 100 = 228,000

228,000 / 8,000 = 28.5

28.5/6 = 4.75 %

A number a is a root of P(x) if and only if the remainder, when dividing the polynomial by x+a, equals zero.
a. true
b. false

Answers

Answer:

Pretty Sure False.

Answer: false

Step-by-step explanation: a pex

PLEASE HELP ME ASAP THIS IS DUE IN LESS THEN A HOUR PLEASE
Figure D is in Quadrant II. It is reflected across the x-axis. Then figure D' is rotated 90° counterclockwise around the origin to form figure D". Then figure D" is translated 4 units to the left to form figure D'". Decide if each statement about the figures is true or false. Choose True or False for each statement. *
4 points
true False
Figure D'' is in Quadrant II
Figure D' is in Quadrant III
The x coordinates for vertices D''' are all negative
The y coordinates for vertices D'' are all positive
Figure D'' is in Quadrant II
Figure D' is in Quadrant III
The x coordinates for vertices D''' are all negative
The y coordinates for vertices D'' are all positive

This question requires one


Answers

Answer:

4

Step-by-step explanation:

because im smart

I have been stuck on this and don’t know what the answer is

Answers

Answer:

x= -1 or x= -11

Step-by-step explanation:

Answer:

i think its D. Im not fully sure

Step-by-step explanation:

Find the missing part of the triangle.​

Answers

I think it’s 8in because the x side is congruent to the 8in side and they are the same lines on the triangle. So I think 8in:)


The difference of the squares of two positive consecutive even integers is 84. Find the integers.

Answers

Answer:

The two integers are 20 and 22.

Step-by-step explanation:

Let x be the first integer.

[tex](x+2)^{2}-x^{2} = 84\\x^{2} +4x+4-x^{2} = 84\\4x = 80\\x = 20[/tex]

Applying the difference of squares, and solving the equation, it is found that the numbers are 20 and 22.

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

The two consecutive even integers are: n and n + 2.The difference of the squares is given by:

[tex]D_s = (n+2)^2 - n^2[/tex]

Expanding the difference:

[tex]D_s = n^2 + 4n + 4 - n^2[/tex]

[tex]D_s = 4n + 4[/tex]

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

The difference is 84, thus:

[tex]D_s = 84[/tex]

Now, we solve for n.

[tex]4n + 4 = 84[/tex]

[tex]4n = 80[/tex]

[tex]n = \frac{80}{4}[/tex]

[tex]n = 20[/tex]

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

Thus, the numbers are: [tex]n = 20[/tex] and [tex]n + 2 = 20 + 2 = 22[/tex]

A similar problem is given at https://brainly.com/question/5453470

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