A two digit number is 4 times the sum and three times the product of its digits.Find the number .​

Answers

Answer 1

Answer:

24

Step-by-step explanation:

= 10x+y=4(x+y)

= 10x-4x=4y-y

= 6x=3y

(÷2) = (2x=y)----- eq.1

According to the quest:-

Case.2-- the number is also equal to 3 times the product of the digits.

10x+y=3xy

Substitute the value of y=2x in place of y.

We get, 10x+2x=(3x)(2x)

= 6x²-12x=0

= 6x(x-2)=0

= 6x=0 so, x=0 or x-2=0 so, x=2.

Consider eq.1:- 2x=y

= 2(2)=y so y=4

OR

= 2(0)=y so y=0

So we take x=2 and y=4

The number:- 10x+y

= 10(2)+4

= 24


Related Questions

Order from least to greatest

I’m just rlly dumb and rlly tried srry:/

Answers

Answer:

The answer is D.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

yawn

the first two common multiples of 3, 4, and 6

Answers

Answer:

Multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36.

Multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36

Multiples of 6 6, 12, 18 , 24 , 30, 36 , 42 , 48, 54, 60

but the first two common multiples of 3, 4, and 6 are

3: 6, 9

4 : 8,12

6 : 12, 18

An auto parts manufacturer throws out gaskets with weights that are not within 0.06 pound of the mean weight of the batch. The weights (in pounds) of the gaskets in a batch are 0.58, 0.63, 0.65, 0.53, and 0.61. Which gasket(s) should be thrown out?

Answers

Answer:

0.53 will not chosen

Step-by-step explanation:

Given weights:

0.58, 0.63, 0.65, 0.53, and 0.61.

Computation:

Mean weight X = [0.58+0.63+0.65+0.53+0.61] / 5

Mean weight X = [3] / 5

Mean weight X = 0.60

Acceptable weight = l x-X l < 0.06

l x-0.60 l < 0.06

So solving inequality

0.54 < x < 0.66

So, 0.53 will not chosen.

Lin rode her bike 2 miles in 8 minutes. She rode at a constant speed. Complete the table to show the distance traveled in 1 minute at this speed

Answers

Answer:

4 miles in 1 min

Step-by-step explanation:

quarter mile, means she gets 1 mile every 4 minutes, there’s 4 quarters when it comes to every 1 minute, so every minute is a quarter mile

A brother and sister share out their collection of 5000 stamps in the
ratio 5:3. The brother then shares his stamps with two friends in
the ratio 3:1:1, keeping most for himself. How many stamps do
each of his friends receive?
13​

Answers

Answer:

1875

Step-by-step explanation:

After sharing in the ratio 5:3, the brother has

5000/(5+3) x 5 = 3125

Next, he shares with his friend in the ratio 3:1:1, thus

3125/(3+1+1) x 3 = 1875

At the U.S. Open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 98 miles per hour (mph) and the standard deviation of the serve speeds was 13 mph. If nothing is known about the shape of the distribution, give an interval that will contain the speeds of at least three-fourths of the player's serves.
a. 124 mph to 150 mph.
b. 85 mph to 111 mph.
c. 59 mph to 137 mph.
d. 72 mph to 124 mph.

Answers

Answer:

d. 72 mph to 124 mph.

Step-by-step explanation:

We solve for this question using the Chebyshev's inequality(x-μ)/σ

For k > 1, 1 - 1/k²

P(x-μ) ≤ kσ≥ 1 - 1/k²

For k = 2

Mean(μ) = 98mph

Standard deviation(σ) = 13mph

P(x-μ) ≤ 2 × 13 mph≥ 1 -1/2²

P(x-μ) ≤ 2 × 13 mph≥ 1 -1/4

P(x-μ) ≤ 26 mph≥ 3/4

According to Chebyshev's theorem,at least 3/4 of the data is 1 standard deviation from the mean

= μ ± σ :μ - σ, μ + σ

The interval is given as: μ - σ, μ + σ

98mph - 26 mph = 72 mph

98 mph + 26 mph = 124 mph

Therefore, the interval = 72mph to 124mph

Option D is correct

Which of the following is the set of odd whole numbers between 0 and 10? A. Y={0,1,2,3,4,6,7,8,9,} B. Z={0,2,4,6,8,9} C. A={1,3,5,7,9} D. B={1,3,5,7}

Answers

Answer:

C. A=[1,3,5,7,9] thats the answer

If you spent 15 minutes exercising everyday, for a year nonstop,
¿how many minutes of exercise would you do?

Answers

15minutesx365(How much days are in a year)=5475 minutes
5475 because there are 365 days in a year so if you do the equation 15 x 365 it would give you 5475

Find the​ (a) mean,​ (b) median,​ (c) mode, and​ (d) midrange for the given sample data. An experiment was conducted to determine whether a deficiency of carbon dioxide in the soil affects the phenotype of peas. Listed below are the phenotype codes where ​, ​, ​, and . Do the results make​ sense? ​(a) The mean phenotype code is 2.6. ​(Round to the nearest tenth as​ needed.) ​(b) The median phenotype code is 2.5. ​(Type an integer or a​ decimal.) ​(c) Select the correct choice below and fill in any answer boxes within your choice. A. The mode phenotype code is 4. ​(Use a comma to separate answers as​ needed.) B. There is no mode. ​(d) The midrange of the phenotype codes is 2.5. ​(Type an integer or a​ decimal.) Do the measures of center make​ sense? A. Only the​ mean, median, and midrange make sense since the data is nominal. B. Only the mode makes sense since the data is nominal. C. Only the​ mean, median, and mode make sense since the data is numerical. D. All the measures of center make sense since the data is numerical.

Answers

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Find the (a) mean. (b) median. (c) mode, and (d) midrange for the given sample data. An experiment was conducted to determine whether a deficiency of carbon dioxide in the soil affects the phenotype of peas. Listed below are the phenotype codes where 1 = smooth-yellow, 2 = smooth-green, 3 = wrinkled-yellow, and 4= wrinkled-green. Do the results make sense?

Given the phenotype code as 4, 3, 3, 1, 3, 4, 1, 1, 1, 4, 2, 3, 1, 1

a) Mean is the average of the number. It is gotten by taking of the ratio of the variables to the sample size.

Sum of variables = 4+3+3+1+3+4+1+1+1+4+2+3+1+1

Sum of variables = 32

Sample size = 14

Mean = 32/14

Mean = 2.29

The mean phenotype is 2.29

B) median is the value at the middle after rearrangement either in ascendng or descending order.

On rearranging:

1,1,1,1,1,1),2,3,(3,3,3,4,4,4

It can be seen that there are two values at the middle. To get the actual median, we will take the median of the values.

Median = 2+3/2

Median = 5/2

Median = 2.5

Hecke the median phenotype is 2.5

c) The mode is the vale that is occurring the most in the data. It can be seen from the data that 1 is the only value occurring the most (6 times), hence the phenotype mode of the data is 1.

d) Midrange = Highest value + Lowest value/2

Midrange = 1+4/2

Midrange = 5/2

Mid range = 2.5

Hence the midrange of the phenotypic code is 2.5

e) Yes, the measures of center make sense since the data is numerical. Since all our values are numerical and measurable, hence we can conclude that the measure of centres make sense

The product of 3 and the difference of a
number n and 4 is eighteen​

Answers

Answer:

n = 10

Step-by-step explanation:

Step 1: Translate word to math

"product" = multiplication

"3" = 3

"difference" = subtraction

"a number n" = n

"4" = 4

"is" means equal

"eighteen" = 18

Step 2: Combine/set up equation

3(n - 4) = 18

Step 3: Solve for n

Distribute 3: 3n - 12 = 18Add 12 to both sides: 3n = 30Divide by 3 on both sides: n = 10

Answer:

Equation: 3(n - 4) = 18Solved: n = 10

Step-by-step explanation:

To solve:

Apply the distributed property: 3n - 12 = 18Add 12 to each side, so it now looks like this: 3n = 30Divide each side by 3 to cancel out the 3 next to n. It should now look like this: n = 10

I hope this helps!

Your statement balance is $433.97. You have an outstanding check for $46.78 and an
outstanding deposit for $235.00. What is your adjusted balance?
A) S245.75
B) $387.19
C) $622.19
D) $668.97

Answers

Answer:C
Hope this helps

X+Y+3=0 en grafica​

Answers

Answer:

x=-y-3

Step-by-step explanation:

hope to get a brainliest thank u

find the value 3x^2+2x+5, if x=-7

Answers

-450
...................

Answer:

432

Step-by-step explanation:

Original Equation:

3x^2 + 2x + 5

x = -7

3 multiplied by -7 = -21

Equation:

-21^2 + 2x + 5

-21 multiplied to the second power is 441

(two negatives cancel each other out making the number positive)

Equation:

441 + 2x + 5

2 multiplied by -7 is -14

441 + -14 + 5

441 + -14 = 427

427 + 5 = 432

Answer: 432

Hope I helped :)

Please consider Brainliest :)

A rope for zip lining is tied between two parallel trees. The rope is taut, forming a straight line. What is m<2?

Answers

Answer:

72°.

Consecutive interior angle

Step-by-step explanation:

The complete question is shown below

The consecutive interior angle theorem states that if two parallel lines are cut by a transversal line, the pair of interior angles formed are supplementary (that is they sum up to 180°).

Hence since the two trees are parallel and the rope forms a transversal hence they form an interior angle:

m∠2 + 72° = 180° (consecutive interior angles)

Add -72 to both sides and then simplify:

m∠2 + 72 -72 = 180 - 72

m∠2 = 108°

please helpppp I will give you a brainleist !!!!!! ​

Answers

Answer:

Hope this helps

Step-by-step explanation:

4. 10^2

5. 64 / 14 * 9 + 8

64/126+8

8 64/126

8 4/9

6.   1.762 x 10^3

Answer:

I am confused with #5 but the rest are solid and checked

Step-by-step explanation:

#4 (A)

10*10=100

#5 (97)

64+4*4+3*3+2*2*2=

64+16+9+8=97

#6 (1.762 × 103)

#7 1070

crystal has played the piano for 15 years. jared has played for 3 years. how many times longer has crystal played the paino?

Answers

Answer:

5

Step-by-step explanation:

Crystal played the piano 5 years longer

I need help with these questions​

Answers

Answer:

29. D

30. A

31. 15

32. -34

33. -241

34. -36

Step-by-step explanation:

29. D
30. A
31. 15
32. -34
33. -241
34. -36

diver starts out at 339 feet below the surface. She then swims upward 207 feet. Use a signed number to
epresent the diver's current depth

Answers

Answer:

-132

Step-by-step explanation:

Shelly found that the coefficient of determination between the age of a runner x and the runner’s finishing position y was about 0.728. What can she conclude?

72.8% of the variation in the runner’s finishing position is explained by the runner’s age.


0.728% of the variation in the runner’s finishing position is explained by the runner’s age.


53% of the variation in the runner’s finishing position is explained by the runner’s age.


0.728 more variation in the runner’s finishing position is caused by the runner’s age.

Answers

Answer:

72.8% of the variation in and the runner’s finishing position is explained by the runner’s age

Step-by-step explanation:

The number 0.728 is converted to percentage

0.728*100% = 72.8%

Correct option is the first one

Answer:

72.8% of the variations in the runner's finihsing position is explained by the runner's age

explanation:

help me please somebody

Answers

Answer:

I am pretty sure that it would be a A whole number

Brian spends
1
4
of his wages on rent and
1
3
on food. If he makes £480 per week, how much money does he have left?

Answers

Answer:

£165

Hope I helped

Answer:

$200

Step-by-step explanation:

PLEASE HELP!! Are triangles A,B,C and D acute obtuse or right angles?

Answers

Answer:

right angle

Step-by-step explanation:

it has a 90 degree angle so its a right angle

Find the midpoint of AB if a (-1,7) and B (11,-1)​

Answers

Answer:

(5, 3)

Step-by-step explanation:

Given Points A(-1,7) and B (11,-1)​To findMidpoint of ABSolution

Using midpoint formula

x = (-1 + 11)/2 = 10/2 = 5y = (7 -1)/2 = 6/2 = 3

Midpoint is (5, 3)

Answer:

mid point = 5,  3

Step-by-step explanation:

A(-1, 7)   B(11, 1)

use the midpoint formula:

mid point = (x₁ + x₂) ,  (y₁ + y₂)

                        2              2

                = (-1 + 11) , (7 - 1)

                        2          2

mid point = 5,  3

What is the solution to 5(2x−2)=30? Enter your answer in the box.

Answers

Answer:

x=4

Step-by-step explanation:

5(2x-2)=30

10x - 10 = 30

10x = 40

x = 4

She spended $7.50 on each book- If the camp leader has 12 campers how much does she spend on the books

Answers

Answer:

$7.50 multiplied by 12 = $90.00

Step-by-step explanation:

Answer:

$90 (assuming 1 book per camper)

Step-by-step explanation:

We are not told the number of books per camper.

If each camper gets 1 book, then since there are 12 campers, then there are 12 books.

12 * $7.50 = $90

(BTW, the word "spended" does not exist. The correct word is "spent.")

A regular piece of ice has a temperature of 32ºF. A piece of dry ice has a temperature of -109ºF. Which is the true statement?

The regular ice is colder than the dry ice.
The difference in temperature is less than 100ºF.
The dry ice is colder than the regular ice.
The dry ice has a greater temperature

Answers

Answer:

C

Step-by-step explanation:

The Dry Ice Is Colder Then the Regular Ice. By 77°F.

Hope This Helps! Pls Rate Brainiest!

-Aslina

What’s the y-intercept of this graph

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

Finding the slope:

So first it'll help to find the slope. You could do that by finding two perfect points, which in my case I chose (3,4) and (4,2). Then you tell what the rise over run is....you go down 2 and right 1 to get from (3,4) to (4,2). So the slope would be -2, since we went down it'll become a negative.

Finding the y-intercept:

Then after we found the slope we could easily make an equation and solve it for the y-intercept, but first we'll need to get a point. Let's choose (4,2). So after you got your point you will plug it into the slope formula like this....

[tex]y=mx+b\\\\\\2=-2(4)+b[/tex]

Then we solve it to get....

[tex]2=-2(4)+b\\2=-8+b\\b=10[/tex]

So the y-intercept is 10.

Chloe's car used 4 gallons to travel 72 miles. How many gallons of gas would she need to travel 270 miles?

Answers

Answer:

15 gallon of gas

Step-by-step explanation:

It is given that,

Chloe's car used 4 gallons to travel 72 miles.

We need to find number of allons of gas that would she need to travel 270 miles.

We firstly find gas required to travel 1 mile.

[tex]1\ \text{mile}=\dfrac{4}{72}\ \text{gallon}[/tex]

For 270 miles,

[tex]270\ \text{mile}=\dfrac{4}{72}\times 270\ \text{gallon}\\\\=15\ \text{gallon of gas}[/tex]

Hence, 15 gallon of gas is needed.

Answer:

18

Step-by-step explanation:

Ralph wants to show 13/20

Answers

Answer:

why won't Ralph show 13/20 then?

Dos automóviles son puestos a prueba uno es de color rojo y recorre 9 vueltas y otro es de color azul que recorre 3139°, ambos a una velocidad constante de 240 km/h.

Answers

Answer:

what in the world

Step-by-step explanation:

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