a two-digit number is equal to 8 times the sum of its digits

Answers

Answer 1
so the value of the number is 8 times the sum of its digits:

10x-y=8(x+y)

how can we show that the numbers digits are reversed using our variables? the numbers digits being reversed means that the digit that was in the tens place is now in the ones place and vise versa. so the reversed digit number would look like this: 10y+x

(10x+y)-45=10y+x

now you can solve the system of equations.

10x+y=8(x+y)
solve for one variable, i’ll choose x
2x=7y
x=7/2y, or 3.5y

(10x+y) - 45= 10y+x
go to your second equation
(10•3.5y+y)-45=10y+3.5y
plug in for x
36y-45=45
y=2

x=3.5y go back to the equation where you solved for c in terms of y
x=3.5(2)
plug in for y
x=7

the number is 72

let’s check

1. 72=8(7+2)
72=8(9)
72=72

2. 72-45= 27
27=27


Related Questions

A box contains 3 pens, 2 markers, and 1 highlighter. Tara selects one item at random and does not return it to the box. She then selects a second item at random. What is the probability that Tara selects 1 pen and then 1 marker?

Answers

Answer:

1/5

Step-by-step explanation:

There are a total of 6 items in the beginning. In the first selection, there is a 3/6 chance that she selects a pen. Since she does not return it to the box, there are 5 items left. The possibility to select a marker is 2/5. Simply multiply the two fractions. You will get 1/5.

solve the equation b - 7 - 6 = 15 + 5b

Answers

Answer:

b = -7

Step-by-step explanation:

b - 7 - 6 = 15 + 5b

b - 13 = 15 + 5b

4b = -28

b = -7

Answer this question to get marked as brainliest!!!!

Answers

Answer:

Diameter is the second option

Radius is the first option

Circumference is the third option

Area is the sixth option.

Step-by-step explanation:

Diameter is the distance between two circles from one end to another.

Radius is from the center to any part of the circle

To find cirumfrnce it’s diameter*π

To find area is πr^2 or in this case π*radius*radius

In ΔHIJ, the measure of ∠J=90°, the measure of ∠H=84°, and IJ = 2.9 feet. Find the length of JH to the nearest tenth of a foot.

Answers

Answer:

0.3

Step-by-step explanation:

Answer:

The correct answer is 0.3

Step-by-step explanation:

A square stepping stone has a side length of 10 1/4 inches.

What is the area of the stepping stone?

Answers

Area=2.5

Step-by-step explanation:

area

[tex]area = length \times width[/tex]

[tex]area = 10 \times \frac{1}{4} [/tex]

Area of square = 4*length of one side
If one side = 10 1/4 inches = 10.25 inch
Then
Area = 4* 10.25 = 41 inches^2

Which algebraic expression represents "the product of a number and eight"? 8 + n 8n n – 8 StartFraction n Over 8 EndFraction

Answers

Answer: 8n

Step-by-step explanation:

Suppose the number is 'n'

Its product with number eight is given by

[tex]\Rightarrow n\times 8=8n[/tex]

Answer:

8n

Step-by-step explanation:

edguenity 2020-2021

Urgent please help..

Answers

Answer:

30cm

Step-by-step explanation:

The perimeter of the triangle is the sum of all of its sides

Since the triangle is an isosceles triangle, then AC = BC

Since AC = 3cm + 9cm = 12cm, then;

AC = BC = 12cm

For AB;

AB = 3cm + 3cm

AB = 6cm

Perimeter of the polygon = AC+BC + AB

Perimeter of the polygon = 12cm + 12cm + 6cm

Perimeter of the polygon =30cm

which expression is equal to 24x^2-22x+5

Answers

Answer: (12x−5)(2x−1)

Step-by-step explanation: Hope this help :D

Answer:

24(x^2)-22x+5

=24(x^2)-(12+10)x+5

=24(x^2)-12x-10x+5

=12x(2x-1)-5(2x-1)

=(2x-1)(12x-5)

Karl is making a pot of chili. The recipe calls for StartFraction 3 Over 8 EndFraction cup of chili powder, but Karl only wants to use half as much so it won’t be so spicy. How much chili powder should Karl use?

Answers

Given:

The recipe calls for [tex]\dfrac{3}{8}[/tex] cup of chili powder.

Karl only wants to use half as much so it won’t be so spicy.

To find:

How much chili powder should Karl use?

Solution:

We have,

Chill power for recipe = [tex]\dfrac{3}{8}[/tex] cup

Chill power used by Karl is half  of chill power for recipe.

[tex]\text{Chill power used by Karl}=\dfrac{1}{2}\times \dfrac{3}{8}[/tex] cup[tex]\text{Chill power used by Karl}=\dfrac{3}{16}[/tex] cup

Therefore, [tex]\dfrac{3}{16}[/tex] cup of chili powder should Karl use.

What is the GCF for 4x^2yz^3 and 12xz^2

Answers

Answer:

The great common factor is:

x(2z)²

Steps:

given:

4x²yz³12xz²

4x²yz³ = 2²x²z²yz

4x²yz³ = x(2z)²xyz

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

12xz² = 4×3xz²

12xz² = 2²3xz²

12xz² = x(2z)²3

The great common factor is: x(2z)²

Answer:

4xz^2.

Step-by-step explanation:

GCF of 4 and 12 is 4

GCF of x^2 and x is x.

GCF of z^3 and z^2 is z^2.

PLEASE HELP!!! I WILL RATE YOU BRAINLIEST
The first laptop ever was sold was the Osborne 1. It came onto the market in 1981, and it had a mass of 11 kg. Suppose that since 1981 the mass of laptops has decreased at an average rate of 4.7% per year. What was the approximate weight of a laptop in 2019?

a. 6.43 kg
b. 8.10 kg
c. 4.62 kg
d. 1.76 kg

Answers

Answer: (d)- 1.76 kg

Step-by-step explanation:

Given

The first laptop mass was 11 kg

The rate of mass decreases by 4.7% per year

In 1982, it was

[tex]\Rightarrow 11-11\times 4.7\%=11-11\times 0.047\\\Rightarrow 11(1-0.047)\ kg[/tex]

In 1983, it was

[tex]\Rightarrow 11(1-0.047)-11(1-0.047)\times 0.047=11(1-0.047)^2[/tex]

In 2019 i.e. after 38 years, it is

[tex]\Rightarrow 11(1-0.047)^38=11\times 0.953^{38}=1.76\ kg[/tex]

I'M GIVING BRAINLIEST TO WHOEVER ANSWERS ALL OF THE QUESTIONS CORRECTLY! PLEASE HURRY! :D

Answers

Answer:

Step-by-step explanation:

8. 7.5 Goes up by 2.5.

9. 7.3 Goes down by 2.1

10. 116/3

Answer:

8- 7.5

9-7.3

10-38 [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

pls help me with this math​

Answers

Answer: C

Step-by-step explanation:

if y varies inversely as x, and y =35 when x =14, find x when y =15.

Answers

Answer:

[tex]x = 32 \frac{2}{3} [/tex]

Step-by-step explanation:

[tex]y = \frac{k}{x} ,where \: k \: is \: a \: constant.[/tex]

Let's find the value of k first.

When y= 35, x= 14,

[tex]35 = \frac{k}{14} [/tex]

k= 14(35)

k= 490

Substitute the value of k into the equation:

[tex]y = \frac{490}{x} [/tex]

When y= 15,

[tex]15 = \frac{490}{x} [/tex]

15x= 490

x= 490 ÷15

[tex]x = 32 \frac{2}{3} [/tex]

I really need help Please and thank you ​

Answers

la B s la correcta por que es el que esta mas serca :)

Find the missing sides and angles of this triangle

Answers

The missing angle is 180 -(70+90)
The third angle is 20 degrees

6.6^2 + x^2= 7^2
43.56+x^2=49
X^2 = 5.44
X= 2.33. Is the other side

2.Use the digits given below to make the largest possible number
without repetition off digits. .Then round off nearest ten, hundred and
thousand
a) 2, 5,4 , 3, 6, 7

b) 0 ,9, 8, 7 ,6, 4

Answers

Answer:

1)765432

Nearest ten: 765430

Nearest hundred: 765400

Nearest thousand: 765000

2) 987640

Nearest ten: 987640

Nearest hundred: 987600

Nearest thousand: 988000

Not sure if this is what you want.

A kite is flying at angle of elevation of 25 degrees. If the string length is 111 feet.
What is the height of the kite? Draw a diagram

Answers

Answer:

yup

Step-by-step explanation:

Fill in the missing number on the table, based on the graph?

Answers

Answer:

0.5

Step-by-step explanation:

sana panget kayong lahat

1. the area of a circle is 132.7 square inches. find the radius. round to the nearest tenth

2. in terms of pi, find the area of a 120 degree sector in a circle with a 6m radius

Answers

Answer:

no ):(

Step-by-step explanation:

Answer:

1. r ≈ 6.5in

2. 132

Step-by-step explanation:

1. A=πr2

Solving for r

r=A

π=132.7

π≈6.49921 in

2. = 120°/ 360° x 22/7 x 6²

= 1/3 x 22/7 x 6 x 6

= 22 x 6 x 6 / 7 x 3

= 22 x 6

= 462

15. Ethan planted sunflowers in different types of soil and measured their growth each week.
Plant 1 started at a height of 10 inches and grew 10 inches per week. Plant 2 started at a
height of 18 inches and grew 8 inches per week. Ethan wants to predict the number of weeks
it will take for the plants to reach the same height.
Ethan concludes that the plants will reach the same height after 50 weeks. Is Ethan correct?
Explain why or why not.

Answers

Answer:

He is not correct

Step-by-step explanation:

10 x 50 = 500

500 + 10 = 510

510 represents plant 1 height after 50 weeks

8 x 50 = 400

400 + 18 = 418

418 represents plant 2 after 50 weeks

they're not the same height

Answer: No he is not correct

Step-by-step explanation:

plant 1 will be taller than plant 2 at 50 weeks

do 50 times 10 = 500in

do 50 times 8 = 400in

PLS HELP WITH THIS I NEED A GOOD GRADE

Answers

Step-by-step explanation:

4.5 approximately is the answer.

Based on the diagram, what is sin A
Enter your answer in the boxes.
sin A =

Answers

Answer:

sin A = a/c

Step-by-step explanation:

Jenny bought scrapbooking supplies for $70.75. She paid $5.66 in sales tax. What was the sales tax rate on the supplies? If necessary, round your answer to the nearest tenth.

Answers

Answer:

8%

Step-by-step explanation:

HELP PLEASE ILL GIVE BRAINLIEST

Answers

Answer:

y=3x+3

Step-by-step explanation:

First find put the intersect point at the end then find slope.

easy

Find the perimeter and area of the shape.

Answers

Answer:

The perimeter is 41

Step-by-step explanation:

The perimeter of a shape is just the sum of all its sides added up. In this case, that would mean the perimeter is:

12 + 9 + 9 + 4.6 + 6.4  = P30 + 11 = P41 = P

Hope this helps!

The answer to the question is 41

i really need help I am being timed

Answers

Answer:

17.5

I hope this helped :)

Answer:

17.5

Step-by-step explanation:

hello please help i’ll give brainliest

Answers

Answer:

-8/6 is equivalent to the -8.(1/6).

Step-by-step explanation:

third an forth options are correct

[tex] - \frac{1}{6} \times 8[/tex]

[tex] - \frac{8}{6} [/tex]

The sides of a right triangle are used to construct three squares, as shown below. The number of square units, representing area, is shown in two of the squares. A represents the area of the largest square.

Answers

1. We know that the distance formula will be be d=√((x_2-x_1)²+(y_2-y_1)²), then we can do x2-x1=3. Y2-Y1=5. 3x3+5x5=34, the square root of 34 is around 5.83. The answer is F.

The person with that spam is rude and wasted your time, sorry for that.

The solution is Option D.

The area of the square with the side having the hypotenuse of the triangle as the side is 34 units²

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the area of the square A be = S

Let the triangle be represented as ΔABC

The base of the triangle BC = 5 units

The height of the triangle AB = 3 units

So , the hypotenuse of the triangle AC = Side of the square A

And , from the Pythagoras theorem

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Substituting the values in the equation , we get

AC² = AB² + BC²

AC² = 5² + 3²

AC² = 25 + 9

AC² = 34 units²

AC² = Area of the square A with side AC

Therefore , the value of S is 34 units²

Hence , The area of the square with the side having the hypotenuse of the triangle as the side is 34 units²

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ2

Please help.
Is algebra.

Answers

The answer for question 4 is C and the answer for question 5 is D.

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