A number is 4 times the sum of its digits. The units digit is two more than the tens digit. Find the number.

Answers

Answer 1

Answer:

24

Step-by-step explanation:

Let x = the 10's digit

Let y = the units

then

10x+y = "a number"

:

A number is 4 times the sum of its digits.

10x + y = 4(x + y)

10x + y = 4x + 4y

10x - 4x = 4y - y

6x = 3y

Simply, divide by 3

2x = y

;

The units digit is two more than the tens digit.

y = x + 2

Replace y with 2x

2x = x + 2

2x - x = 2

x = 2

then

y = 4

:

24 is the number

Answer 2

The two digit number is equivalent to 24.

What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that a number is 4 times the sum of its digits. The units digit is two more than the tens digit.

Let the number be {A}. Then, we can write -

A = 10x + y                             ......... (1)

also

A = 4(x + y)                            ........... (2)

The units digit is two more than the tens digit, so we can write -

y = x + 2                               .............. (3)

So, we can write -

10x + y = 4(x + y)

10x + (x + 2) = 4(x + x + 2)

11x + 2 = 8x + 8

3x = 6

x = 2

So, we can write {y} as -

y = 4

Number will be -

10 x 2 + 4

n = 24

Therefore, the number will be equivalent to 24.

To solve more questions on expressions, visit the link below -

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Related Questions

Which of the following may have an outcome that is not a polynomial ? A. The addition of two polynomials B. The multiplication of two polynomials C. The subtraction of two polynomials D. The division of two polynomials

Answers

Answer:

Step-by-step explanation:

B

What is the mode of the data set (30,28,30,45,40,37,35)? Level 1-2
28

30

45

37
help helpppp

Answers

The answer is 30
Hope this helps

What is the recursive formula for this sequence?

Answers

Answer:

B. a=10

an=an-1-4

this is the answer

is 5.97 repeating (5.97777) irrational?

Answers

Answer:

Rational

hope this helps

have a good day :)

Step-by-step explanation:

What is 9 5/6 minus 2 7/8 equal?

Answers

Answer:

[tex]\frac{167}{24}or[/tex] [tex]6\frac{23}{24}[/tex]

Step-by-step explanation:

[tex]9\frac{5}{6} -2\frac{7}{8} =[/tex]

Convert to an improper fraction.

[tex]\frac{59}{6}-\frac{23}{8}[/tex]

Find a common denominator.

[tex]\frac{236-69}{24}[/tex]

Simplify

[tex]\frac{167}{24}=6\frac{23}{24}[/tex]

good luck, hope this helps :)

In a group of 38 pupils, 13 play the flute only.
7 play the piano only.
5 play neither instrument.
How many pupils play both instruments?

Answers

13 pupils play both instruments I believe is the correct answer

Please help, you HAVE to show your work! Write down the problem, show your work, and put a picture of your work with your answer! Will give Brainliest to the person with the correct answer! Worth 20 points!

Answers

Answer:

The total surface area of the shape is 376 square inches.

Bonus: the volume is 240 cubic inches.

Step-by-step explanation:

I'm not going to draw this for you, but to get the area, you just need to add up the area of the 6 rectangles.

First though, you need to know what they are.  This is easier than it may seem though.  You just need to remember that this will be folded into a rectangular box.  You are given three side lengths, which is all that is needed for a box.

That is to say, you're given the width, height and length of this box.  It's 10x8x6 inches.

so if you take every possible pairing of those numbers:

10x8

10x6

8x6

you have the area of all of the shapes.  The only catch is that there are two of each size.  Front and back are the same size, left and right are, and so are top and bottom.

So the total area of the shape is:

(front and back) + (left and right) + (top and bottom)

= (2 × 10 × 8) + (2 × 10 × 6) + (2 × 8 × 6)

= 160 + 120 + 96

= 376

Or rather, 376 square inches.

Bonus: the volume is much easier, being just 10 × 8 × 6, or 240 cubic inches.

En un banco ,$784.00 producen $117.60 de interes en un tiempo y a una tasa determinada.Que interes produciran $792.00 en ese banco ,en ese mismo tiempo y a esa misma taza? matematicas​

Answers

Answer:

I wish i could help you but i cant because i don't speak your language im sorry.

Step-by-step explanation:

Dustin went out for a walk with some friends. After a few minutes of walking, he suddenly realized he had left his wallet behind. He ran back to his house to get it, then had to run to catch up with his friends. Choose the graph below that models Dustin’s distance from home. * A. B. C.

Answers

Answer:

a

Step-by-step explanation:

A hockey player earns 2 million in 2015 during the next 10 years to earnings increase 5% each year write an explanation growth model giving the earnings Y in millions of dollars T years after 2015 write the base of the model as a decimal

Answers

Answer:

[tex]Y(T) = 2(1.05)^T[/tex]

Step-by-step explanation:

The player's salary, in millions of dollars, t years after 2015, is given by an equation in the following format:

[tex]Y(T) = Y(0)(1+r)^T[/tex]

In which Y(0) is his initial salary and r is the growth rate, as a decimal.

A hockey player earns 2 million in 2015 during the next 10 years to earnings increase 5%

This means, respectively, that:

[tex]Y(0) = 2, r = 0.05[/tex]

So

[tex]Y(T) = Y(0)(1+r)^T[/tex]

[tex]Y(T) = 2(1+0.05)^T[/tex]

[tex]Y(T) = 2(1.05)^T[/tex]

Write nine squared in all three forms: exponential form, expanded form, standard 

Answers

Answer:

[tex]9^{2} \\80+1\\9+9+9+9+9+9+9+9+9[/tex]

Step-by-step explanation:

If a ^-1/2 = x, where a > 0, what is a in terms of x?

a. √x
b. -√x
c. 1/x^2
d. -1/x^2

Answers

9514 1404 393

Answer:

  c.  1/x^2

Step-by-step explanation:

You want to solve for a:

  1/√a = x

  1/a = x^2 . . . . . square both sides

  1/x^2 = a . . . . . multiply both sides by a/x^2

Answer:

14743

Step-by-step explanation:

B. the business world and its industries control those in poverty

C. that the place is polluted and depressing

Find the area of the following figure:

Answers

Answer:

91 cm squared

Step-by-step explanation:

Find the area of the rectangle 7 x 10=70

Triangle are (6 x 7)/2=21

Add 21+70=91

Answer:

91

Step-by-step explanation:

Find the quotient of: (-20xyz) (5zy)​

Answers

Answer:

the answer would be -4x

Step-by-step explanation:

dividing (-20xyz) by (5zy) = 3

arning Task 3: Solve the following. Do this in a separate sheet of paper.
A box is ( 2x—3) by ( x + 5) by ( 3x +1), what is the volume of the box if x = 3
cm?
bh
The formula for the area of a triangle is A= If the base (b) = 10 cm and
2
the height (h) = 6 cm, what is the area of the triangle?
The length (1) of the rectangle is x2 + 2x - 3 and the width (w) is 5x + 4, what
is the perimeter of the rectangle.
From the sum of 3x3 + 7x2 - 5 and 2x2 + 3x + 8 take away 5x2 + x -5.
What should be added to 3x3 + 4x2 -7 to have a sum of 4x3 + x2 + 5.

❤️​

Answers

Answer:

12 cm is your answer right answer

ALGEBRA Find mZA in ABC if mZB = 38º and mZC = 38º.

a. 940
b. 1040
c. 2840
d. 14°

Answers

Answer:

d

Step-by-step explanation:

dddddddddddddddddddddddddddd

Solve the following proportion:
X + 5 7
X – 4 10

Answers

Answer:

x  =  −26

Explanation:

Solve for  x  by cross multiplying.

Where could point E be located on the coordinate plane? I’ll mark you as brainliest! Quadrant one, or Quadrant two, or Quadrant three or , Quadrant four , or Y axis, or X axis?

Answers

Answer:

Quadrant II and III

Step-by-step explanation:

Given

Point E

[tex]x < 0[/tex] i.e. negative x

and

[tex]y \ne 0[/tex]

Required: Determine the possible quadrant(s) of E

[tex]y \ne 0[/tex]. means that point E belongs to at least 1 quadrant. So, x-axis and y-axis are ruled out

Solving further:

[tex]x < 0[/tex]

The two quadrants where the x coordinates is negative are II and III.

Hence, point E belongs to quadrants II or quadrants III

In ΔTUV, v = 49 inches, u = 47 inches and ∠U=65°. Find all possible values of ∠V, to the nearest degree.

Answers

Answer: 16

Step-by-step explanation:

sin M/6.3=sin 21/8.2

6.3 sin 21/8.2=0.27533147

sin^-1(0.27533147)=15.981=16

PLZ HELP ASAP
What is the length of MN? Round your answer to the tenths.

Answers

Answer:

30.7

Step-by-step explanation:

Answer:

30.8 units

Step-by-step explanation:

Definition of tangent

tan = opposite / adjacent

Apply to the given triangle and solve for MN

MN/PN = tan ∠PMN / 10 = tan (72 deg)MN = 10 (3.077)MN = 30.8 (rounded)

Lashonda runs 3 miles in 28 minutes. At the same rate, how many miles would she run in 42 minutes? miles ?​

Answers

Answer:

4.5 miles

Step-by-step explanation:

28x = 126

divide each side by 28

x = 126/28

x = 4.5 miles

True or False: Since negative numbers are just numbers, then doing the same thing to each side of an equation works for negative numbers as well.

Answers

Answer:

I believe it's true

Step-by-step explanation:

I hope this helps

In ΔOPQ, PQ = 17, QO = 9, and OP = 15. Which statement about the angles of ΔOPQ must be true?

Answers

Answer:

All angles are different.

Internal angles can be acute, obtuse, or right angle.

The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.

Step-by-step explanation:

Given - In ΔOPQ, PQ = 17, QO = 9, and OP = 15.

To find - Which statement about the angles of ΔOPQ must be true?

Proof -

As given,

In ΔOPQ, PQ = 17, QO = 9, and OP = 15.

As all the sides of the given triangle is different, So the given triangle is a Scalene triangle.

Now,

We know that , In Scalene triangle -

All sides are different.

All angles are different.

Internal angles can be acute, obtuse, or right angle.

The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.

Smallest angle: ∠P

Opposite shortest side.

Middle angle: ∠O

Opposite middle side.

Largest angle: ∠Q

Opposite longest side.

Therefore:

m∠P<m∠O<m∠Q

Less than symbol goes from smallest to largest

Here's a better Explanation!!!!!!


Please answer fast ASAP I give brainliest

Kerry wants to remodel his house by knocking down a wall between two adjacent rectangular rooms the dimensions of the rooms are shown on the blue print

Answers

Answer:

6x +12

Step-by-step explanation:

Find dy/dx by implicit differentiation.
7x^2 – 2y^2 = 16

dy/dx = ?

Answers

Answer: ANSWER DOWN BELOW

Step-by-step explanation:

PLSSS PLSSS I NEED HELPP

Answers

Answer:

Step-by-step explanation:

Perpendicular (p) = 8

base(b) = 7

Tan A = p/b

tan A = 8/7

A = tan ^-1(8/7)

A = 48.81°

How do I solve equation 24=2a + 6

Answers

Answer:

9

Step-by-step explanation:

24 - 6 = 18 divided by 2 is 9 so a must be 9

Cuanto es El doble de 0.5

Answers

Answer:

Respuesta certificada por un experto

El doble de 0.25 es 0.50. El doble de 0.50 es 1.00.

Step-by-step explanation:

Gabriel has a square canvas that
measures 5/4 feet on each side. What is
the area of Gabriel's canvas?

Answers

Area = length x width

Area = 5/4 x 5/4 = 25/16 ft squared

Select the correct answer. A farmers' group conducted an experiment to determine which fertilizer is better for plant growth. One fertilizer contains a urea supplement, while the other does not contain the urea supplement. For the experiment, they randomly selected 20 plants of the same species growing in their area. The farmers tested the urea-enhanced fertilizer on 10 plants and the non-urea fertilizer on the other 10 plants. After three months, they reported their findings as shown.​

Answers

Answer:

Step-by-step explanation:

at the bottom it has a key and the key shows blue that had the urea supplement and green with out.  the graph has a higher amount of growth for the plants with the urea supplement and green with about half the growth.

so you could say something like this: over the course of three months the plants with the urea supplement had almost double the amount of growth the plants without the urea supplement did, over all the the urea increased the amount of growth the plants had over the 3 month time span. :)

The conclusion from the farmer's data can be made is the fertilizer with urea supplement  is more effective than the fertilizer without it.

What is histogram?

A histogram is the way of representation of data which is used to show the frequency distribution using the rectangle similar to bar graph.

Farmers' group conducted an experiment to determine which fertilizer is better for plant growth. One fertilizer contains a urea supplement, while the other does not contain the urea supplement.

For the experiment, they randomly selected 20 plants of the same species growing in their area. The farmers tested the urea-enhanced fertilizer on 10 plants and the non-urea fertilizer on the other 10 plants.

After three months, they reported their findings as shown.​ Let's understand what happen in each month,

In first month, 4 number of plants with above average growth with urea supplement, while only 2 plant shown this growth when urea is not supplied.In second month, 7 number of plants with above average growth with urea supplement, while only 4 plant shown this growth when urea is not supplied.In third month, 5 number of plants with above average growth with urea supplement, while only 3 plant shown this growth when urea is not supplied.

Thus, the conclusion from the farmer's data can be made is the fertilizer with urea supplement  is more effective than the fertilizer without it.

Learn more about the histogram here;

https://brainly.com/question/2962546

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