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

Jacob paid $89.59 for a portable e-book reader plus 9% tax. What is the cost of the
e-book reader including tax?

Answers

Answer:

$97.65

Step-by-step explanation:

$89.59 + $8.06 = $97.65

a bus traveled for 540 miles in 12 hours. was it traveling at a faster or slower rate than the car? show your work to explain

Answers

how fast is the car going??? cuz the bus is going 45 mph

Answer:

It is at 45. So you need to determine is it faster of slower. You didn't put the whole question.

Step-by-step explanation:

Which of the following is equivalent to the image below

A: 6
B: 8
C: 12
D: 64

Answers

Answer: The answer is 8

Step-by-step explanation: first you solve 16 to the 1.5 power (3/2=1.5) and that gives you 64. Then 64 to the .5 power (1/2=.5) and that gives you 8.

Maribel sold 20% of the cupcakes she made. If she sold 35 cupcakes, then she made how many
cupcakes in all.

Answers

Answer:

20% x 5= 100%

35 x 5= 175

she has a total of 175 cupcakes

solve each inequality and graph the solution .

2x-8<4

Answers

Answer:

inequality is x < 6

Step-by-step explanation:

HELp please!!!!!!!!!!!!!!!!!!!!!!11

Answers

Answer:

it’s 15x+30y-220

Step-by-step explanation:

Because you distribute and then you add the like terms

Need this very badly​

Answers

The answer is 140 Inches because 4 times 7 is 28, 28 times 5 is 140

Mr. Demers is making a drink by adding flavor drops to his water. If he puts 3 drops in a 12 ounce glass of water, how many ounces does he use PER DROP?

Answers

Answer:

Step-by-step explanation: if he puts 3 drops in a 12 ounce glass of water he should be using 4 ounces per drop 12 ounces divided by 3 drops gives you 4 ounces per drop

Answer: 4 ounces per drop

=======================================================

Explanation:

"Per drop" means "per 1 drop" or "for each 1 drop".

We start off with the ratio of

3 drops: 12 ounces

Divide both parts of that ratio by 3 so that "3 drops" turns into "1 drop"

Doing so gets us the new ratio of

1 drop: 4 ounces

So he uses 4 ounces per drop.

Max is building a treehouse. He has a piece of wood that is 6 ft long. How many 1/3 ft pieces of wood can you cut

Answers

Answer:

18 pieces

Step-by-step explanation:

Max is building a treehouse. He has a piece of wood that is 6 ft long. How many 1/3 ft pieces of wood can you cut?

From the above question, we can deduce that:

1 piece of wood = 1/3ft

Hence:

1/3 = 1 piece of wood

6 ft = x

Cross Multiply

1/3ft × x = 6 ft × 1

x = 6 / 1/3

x = 6 × 3

x = 18 pieces

Hence, you can cut 18 (1/3 ft )pieces of wood .

___% of 25 = 15
Pls help-

Answers

Answer: 60%

Step-by-step explanation: i hope it helps.

Answer:

60%

Step-by-step explanation:

1/6 + 7/9 + _____ = 1

Answers

Answer:

[tex] \frac{1}{18} [/tex]

Answer:

3/54

Step-by-step explanation:

6 and 9 both go into 54

1/6=9/54

7/9=42/54

42+9=51

3/54

Round to the nearest hundredth O(5x + 2) = 2(9x - 6) Type your answer...​

Answers

Answer:

Solving the expression and round to the nearest hundredth

[tex]0(5x+2)=2(9x-6)[/tex] we get [tex]\mathbf{x=0.67}[/tex]

Step-by-step explanation:

We need to solve the expression and round to the nearest hundredth

[tex]0(5x+2)=2(9x-6)[/tex]

Solving:

[tex]0(5x+2)=2(9x-6)[/tex]

We know that multiplying anything by zero we get zero

[tex]0=2(9x-6)[/tex]

Switching sides

[tex]2(9x-6)=0[/tex]

Multiplying 2 with terms inside the bracket

[tex]18x-12=0[/tex]

Adding 12 on both sides

[tex]18x-12+12=0+12\\18x=12[/tex]

Divide both sides by 18

[tex]\frac{18x}{18}=\frac{12}{18}\\x=0.666[/tex]

Rounding to nearest hundredth we get:

[tex]x=0.67[/tex]

So, solving the expression and round to the nearest hundredth

[tex]0(5x+2)=2(9x-6)[/tex] we get [tex]\mathbf{x=0.67}[/tex]

MATH PLSS (I'LL TRY TO GIVE BRAINLIEST)

Answers

Answer:

b

Step-by-step explanation:

the first graph: use the points (0,1) and (4,2) to get a slope of 1/4

function b's slope is 3/4, clearly greater. so B

Well, the answer to this question is function B

Identify the constant of proportionality from the table.

Answers

It’s A. 9 the equation is y=9x+0

Answer:

A. 9

Step-by-step explanation:

A P E X

Marco needs to buy some cat food At the nearest store, 3 bags of cat food cost $16.50. How muc
would Marco spend on 5 bags of cat food?

Answers

He would spend $27.50, because each bag costs $5.50. Multiply that by 5 and you have your answer :)

The pendulum swings at an arc of 30 cm and its successive swings reduced to 10% of the previous swings. What is the total distance travelled by the pendulum after 5 swings? This problem is an example of what sequence?

Answers

Answer:

[tex]S_g= 33.333cm[/tex]

Step-by-step explanation:

From the question we are told that

Arc of 30 cm

10% reduction after each swing

Generally sum of geometric sequence is given by the equation

    [tex]S_g=\frac{a(1-r^n)}{1-r}[/tex]

Mathematically solving for total distance traveled we have

    [tex]S_g=\frac{30(1-(0.10^5)}{1-(0.10)}[/tex]

    [tex]S_g=\frac{30}{0.9}[/tex]

Therefore the total distance traveled  by the pendulum after 5 swings

    [tex]S_g= 33.333cm[/tex]

(2x10^5) divided by (4x10^2)

Answers

Answer:

[tex]\huge\boxed{0.5\times10^3=0.5\times1,000=500}[/tex]

Step-by-step explanation:

[tex](2\times10^5)\div(4\times10^2)=\dfrac{2}{4}\times\dfrac{10^5}{10^2}\\\\\text{use}\ \dfrac{a^n}{a^m}=a^{n-m};\ a\neq0\\\\=0.5\times10^{5-2}=0.5\times10^3=0.5\times1,000=500[/tex]

What is the sum of the 16th square number and the 6th square number?

Answers

Ne demek istoyusun anlamadım

what is -2k + (-4k) + 5

Answers

if you want it simplified -6k+5, if you need the answer lmk
I believe it is -6 or if your evaluating it it’s 5-6k I think

what is -6=x/18 please​

Answers

Answer: -108

Step-by-step explanation:

-6 = x/18

-6 * 18 = x

-108 = x

The area of a rectangle is 1,872 ft2. The ratio of the length to the width is 9:13. Find the perimeter of the rectangle. A. 88 ft B. 117 ft C. 168 ft D. 176 ft

Answers

Answer:

Length = 36

Width = 52

Step-by-step explanation:

Area of rectangle = Length * width

Length = L ; Width = W

Area (A) = 1872 ft²

Ratio L:W = 9:13

Hence,

1872 = lw - - - (1)

l/w = 9/13 - - - (2)

From (2)

13l = 9w

l = (9/13)w - - (3)

Put (3) into (1)

1872 = (9/13)w * w

1872 = 9/13 w²

24336 = 9w²

24336 / 9 = w²

2704 = w²

w = 52

If w = 52

1872 = 52 * l

l = 1872 / 52

l = 36

Length = 36

Width = 52

A mouse ran a 360 centimeters course in 9 seconds , how fast did it run ?

Answers

Answer:

r=d/t

r=360 cm / 9 sec= 40 cm per second

Hope that helps :)

Answer:

40 centimeters per second.

Step-by-step explanation:

360 divided by 9= 40

ChIcKeN nUgGeTs :>

I need the equation that passes through the point

Answers

Answer:

y=4/3x+0

Step-by-step explanation:

slope intercept form works right?

y=mx+b

the m is the slope, and the problem gives us the slope. (4/3)

the b is the y intercept (where the line goes through the y) so on our coordinates, the second number is the y, so we have y=4/3x+b

HTH!!

A football player has made 80% of the field goals he has attempted in his career. If he
attempts 45 field goals in a season, how many would he be expected to make?

PLEASE ANWSER SERIOUSLY

Answers

Answer:

im pretty sure its 56.25 cus 45= 80% of 56.25

Step-by-step explanation:

Can anyone help solve this?

Answers

Answer: m∠XYQ = 122°

Step-by-step explanation:

m∠XYQ + m∠QYZ = 180°

(10a + 2) + (5a - 2) = 180

15a = 180

a = 12

m∠XYQ = 10a + 2

m∠XYQ = 10 (12) + 2 = 122

m∠XYQ = 122°

Andre types 208 words in 4 minutes. Noah typed 342 words in 6 minutes
A) Who typed faster
B) How many words can andre type in 10 minutes
C)Would you find the unit rate of words per minute or the unit rate of minutes per word to
figure out how long it would take Noah to write 1710 words? Why? (You do not need to
solve, just choose and explain why).

Answers

Answer:

Noah types faster because he can type more words per minute.

Step-by-step explanation:

For Andre you would divide 208 words by 4 minutes getting 52 words per minute. Then, for Noah divide 342 words by 6 minutes getting 57 words per minute.

Ms. Speer's spent a total of $120 while online shopping . Out of the total, $84 was spent just on Amazon. The rest was spent on apple. Write and equation to determine how much Ms. Speer spent at Apple. Write your equation below and determine how much she spent at Apple.

Answers

Answer:

$36 (120-84)

Step-by-step explanation:

Apple = 120-84

Apple = 36

Apple = 36

Pls help me I’ll give 100 points

Answers

Answer:

Try option B

Step-by-step explanation:

sub to Pen Paper

Hi there!

So what we have to do here is...

turn 2³ - 1 into 2·2·2-1=4·2=8-1=7.

[tex]\frac{35}{7}=5[/tex]

Final Result: 5

Sols the system 2x+y = 1 y = -2x^2+3x+1​

Answers

Answer:y=(-2x+1) (x+1)

Step-by-step explanation:

2x+y=-2x^2 +3x+1

y=-2x^2+x+1

y=-2x^2 -2x+x+1

y=-2x(x+1) +1(x+1)

y=(-2x+1) (x+1)

Sally sells sea-shells by the seashore. After 6 days, she has made
$16. After 17 days, she has made $60. How much does Sally
make each day?

Answers

Answer:

the right answer is$2.66

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