Sum of digits in a three digit number is nine. The tens digit is half sum of the other two and the hundreds digit is half the units digits. Find the number​

Answers

Answer 1

Answer:

234

Step-by-step explanation:

Let the digit in the hundreds place be a, the digit in the tens place be b and the digit in the ones place be c. So a b c is the number.

(Based on the question) a + b + c = 9 ----- Equation 1

From Equation 1, you can get:

2a + 2b + 2c = 18 ----- Equation 2

(Based on the question) 2b = a + c ------ Equation 3

(Based on the question) 2a = c ----- Equation 4

Replace the c in Equation 3 with Equation 4:

2b = a + 2a

Evaluate.

2b = 3a ----- Equation 5

Replace all the values of b and c with Equations 4 and 5 respectively into Equation 1 (Check underlined Equations to realise that all terms equal to a term in a):

2a + 3a + 2(2a) = 18

Evaluate.

2a + 3a + 4a = 18

9a = 18

Find a.

a = 18 ÷ 9

a = 2

Based on Equation 4, find c.

c = 2 × 2

c = 4

Based on Equation 1, find b.

b = 9 - 2 - 4

b = 3

Piecing together the values of a, b and c, the number is 234.

Answer 2
X + Y + Z = 9
Y = (X+Z)/2
X = Z/2
replacing X in Y
Y = (Z/2 + Z)/2 = 3Z/4
Putting equations X and Y in equation ( X + Y + Z = 9 )
We have,
Z/2 + 3Z/4 + Z = 9

Multiply through by 4
2Z + 3Z + 4Z = 36
Z = 4
Replacing Z to solve for X and Y
Y = 3
X = 2

Related Questions

Two bottles of soft drink can be serve 8 people.How many bottles of soft drink will be be needed to serve 40

Answers

Answer: 10 bottles

Step-by-step explanation: 8 x 5 = 40. 2 x 5 = 10

In 2016 the U.S. Census Bureau estimated the population of the United States at 322 million. If the annual rate of growth was about 0.81%, find the expected population at the time of the 2030 census. Round your answer to the nearest ten million.

Answers

Answer:

388,000,000

Step-by-step explanation:

So as we have 322 million

we want to take 0.81% of it and add to the total each year so

322,000,000*0.81%=2,608,200

322,000,000+2,608,200=324,608,200

and now do that for 22 more years so

We get 387,649,305.98 as our population

387,649,305.98 -------> 388,000,000

When converting the equation of a line
into Standard Form, which of the
following is an important "rule" to
remember?
Ax + By = C

Answers

Answer:

Step-by-step explanation:

In the standard form Ax + By = C, the A can only be any positive integer and B and C can be any integer.

Write the number below as a fraction in its simplest form 0.˙49˙9 (more clearer picture is attached here)

Answers

Answer:

499/999

Step-by-step explanation:

The decimal number written is:

0.499...

Such that these 3 decimals are repeated as:

0.499499499...

Let's define this number as k

k = 0.499...

Let's multiply this number by 1000 (the same number of zeros as important decimals after the decimal point)

we get:

1000*k = (1000)*(0.499...) = 499.499...

Now we can subtract the original number k, so we get:

1000*k - k = 499.499... - 0.499...

In this way, we remove the part after the decimal point:

1000*k - k = 499.499... - 0.499...

(1000 - 1)*k = 499

999*k = 499

Now we can divide both sides by 999

(999*k)/999 = 499/999

k = 499/999

The fraction notation of our number is 499/999 (and this is the simplest form)

I WILL GIVE BRAINLIEST!!!

Answers

Answer:

even

Step-by-step explanation:

Answer:

Odd its ok if i get it wrong i tried

Step-by-step explanation:

b. Canada had about
as many total medals as Australia

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: The united states has the most metals out of all of the countries.

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

60+(55-45)+9 find the total

Answers

The answer is 79
I hope this helped
Use PEMDAS


There are 12 donuts in a dozen. You are allowed to eat 2. How many different combinations of donuts could
you eat?

Answers

Answer:

Step-by-step explanation:

1. A 42 inch television is 40.6 inches wide. Using the diagram below, determine the
height of the
television. Round your solution to the nearest hundredth.
42 in.
40.6 in.

Answers

Answer:

184.85 square mm

Step-by-step explanation:

The area of a sector of a circle is , where r is the radius and  is the angle in radians subtended by the arc at the centre of the circle.

Since, diameter = 40.6 mm

So, radius(r)=20.3 mm and  = radians

So, area of sector=

=

Step-by-step explanation:

Please help I’ll give brainleist.

Answers

Answer:

B

Step-by-step explanation:

4 represents the number of bounces

and 1/2 represents the decreases in the height of  bounce

HAVE A GREAT DAY!

Answer problem fast pls

Answers

Answer:

m<A: 62

m<B: 54

Step-by-step explanation:

180 - 116 = 64

3x - 13 + 2x + 4 + 64 = 180

5x + 55 = 180

5x = 180 - 55

5x = 125

x = 25

m<A:

3x - 13

3(25) - 13

62

m<B:

2x + 4

2(25) + 4

54

The measure of the angles of a triangle are shown in the figure below solve for X

Answers

Answer:

7=x

Step-by-step explanation:

Could someone help me out with this

Answers

Hey! It's me again! You told me to answer this, so I will deliver ☺

Answer:

15/21

Step-by-step Explanation:

Because 1/3 and 2/7 do not have the same denominator, we will have to multiply them to get one that they'll both share.

In this case, you multiply both denominators, 3 and 7, to get 21.

We do the same with the numerators, but in a different way.

We're gonna multiply the numerators by the OTHER fractions' denominators this time. So, we do this:

1 x 7 = 7

2 x 3 = 6

We end up getting these fractions:

7/21

6/21

And now, we just subtract 6 from 21, to get 15.

And you get 15/21.

I hope I helped you, and a "Brainliest" is always appreciated! ☺

Which inequality is NOT true when x = -2?

Answers

Answer:

Step-by-step explanation:

x > -2

x < -2

Please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!

Answers

Answer:

OQ=33

Step-by-step explanation:

Please help

Find the equation of a line, in slope-intercept form of a line that passes through the point (-5, -1) and is parallel to the line -2x + 4y = 8.

1. y = -1/2x +13/2
2. y = 1/2x - 3/2
3. y = -1/2x - 7/2
4. y = 1/2x + 3/2

Answers

Answer:

4. y = 1/2x + 3/2

Step-by-step explanation:

First, we need to change the line that's parallel into slope-intercept form.

-2x + 4y = 8

4y = 2x + 8

y = 1/2x + 2

If it's parallel, then it remains the same. So our slope is 1/2.

To find the y-intercept, you need to plug the coordinates into the equation.

y = 1/2x + b

-1 = 1/2(-5) + b

-1 = -5/2 + b

3/2 = b

y = 1/2x + 3/2

A restaurant has many vistors over the weekend.4/9 of the visitors are adults. If there were 380 adults, how many visitors were children? Answer

Answers

Answer:

475 children

Step-by-step explanation:

A restaurant has many vistors over the weekend.4/9 of the visitors are adults. If there were 380 adults, how many visitors were children? Answer

Step 1

We find the total number of visitors the restaurant had over the weekend. This is calculated as:

Let the total number of visitors = x

4/9 × Total number of visitors = 380 Adults

4/9 × x = 380

4x/9 = 380

Cross Multiply

4x = 9 × 380

x = 9 × 380/4

x = 855 visitors.

Step 2

The number of visitors that were children is calculated as:

Total number of visitors - Number of Adults

= 855 visitors - 380 Adults

= 475 children

Can someone PLEASE help me with this problem?

Answers

Answer:

3/5 of a foot

Step-by-step explanation:

1/5+2/5=3/5

Find the radius of the sphere with the given volume. (15 points)
Please show your work!

Answers

Answer:

r = 1/2

Step-by-step explanation:

sphere volume = 4/3πr³

4/3πr³ = 1/6π

divide both sides of the equation by π:

4/3r³ = 1/6

multiply both sides by 6:

24/3r³ = 1

reduce:

8r³ = 1

divide both sides by 8:

r³ = 1/8

r = 1/2

Find the distance between the points A(2, 3) and B(4, 1).​

Answers

Answer:

sqrt(8) or 2.828

Step-by-step explanation:

You use the distance formula which is sqrt((x2-x1)^2+(y2-y1)^2) where x2 can be either x value

Answer:

sqrt(8) units

Step-by-step explanation:

Use the formula d=sqrt((x2-x1)^2 + (y2-y1)^2). d=distance, and (x1, y1) and (x2, y2) are the points.

d=sqrt((4-2)^2 + (1-3)^2)

 =sqrt(2^2 + (-2)^2)

 =sqrt(4+4)

 =sqrt(8)

A and B are sqrt(8) units apart.

legs and hypotenuse ​

Answers

Answer:

Step-by-step explanation:

For a right triangle, the side that is opposite of the right angle is called the hypotenuse. This side will always be the longest side of the right triangle. The other two (shorter) sides are called legs.

are the numbers linear or nonlinear
x- 0, 3, 6, and 9
y- -3, 9, 21, and 33

Answers

Answer:

I'm not really,

sure but I think non linear

Step-by-step explanation:

sorry if I'm wrong

These numbers are non linear. You just need to graph it

What is the slop and the y-intercept on the graph?

Answers

Answer:

Slope= 2 ; y intercept= 4

Step-by-step explanation:

Slope: (y2 - y1)/(x2-x1) where x and y indicate the coordinates of two points

Slope = (4-0)/(0-(-2) = 4/2 = 2

y intercept is where the line intercepts the y axis: it happens in (0;4)

Answer:

y intercept is 4 and slope is 2

Step-by-step explanation:

estimate the percent of the number 7% of 501​

Answers

Answer:

35.7

Step-by-step explanation:

I typed percentage calculator, find a calculator, calculate it, find 35.7‍♀️

What is the volume of a cube that has 4 as width, 5 as length, and 6 as height?

Answers

Answer: 120 cubed units

Step-by-step explanation: The area of a cube is lwh (length×width×height) which in this case is 5×4×6=120!

Find the perimeter of the figure to the nearest hundredth. ​

Answers

Answer:
50.274in

Explanation:

Half circle perimeter
9/2 = 4.5
2 * pi * 4.5 = 28.27433388230814

28.27433388230814 + 5 + 12 + 5 = 50.27433388230814

Answer = 50.27433388230814
Rounded to nearest hundredth = 50.274

I hope I helped. Brainliest would be appreciated

Rewrite the function to complete the square f(x) = x^2 + 4x + 41

Answers

Answer:

f(x)=(x+2)^2+37

Step-by-step explanation:

Got it right on Khan :)

The quadratic function f(x) = x² + 4x + 41 is converted into square form is f(x) = (x + 2)² + 37.

What is a quadratic equation?

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.

The quadratic function is given below.

f(x) = x² + 4x + 41.

The quadratic function is converted into square form by adding and subtracting the square of the half of the coefficient of x.

f(x) = x² + 4x + 41

Transform into square form. Then the quadratic function will be

f(x) = (x² + 4x + 4) + 41 – 4

f(x) = (x + 2)² + 37

The quadratic function f(x) = x² + 4x + 41 is converted into square form is f(x) = (x + 2)² + 37.

More about the quadratic equation link is given below.

https://brainly.com/question/2263981

#SPJ2

HELP PLEASE 15 POINTS

Answers

Angle C, it sounds obvious but they correspond to the angle in the same order as them, as both E and C are in the middle it has to be C.

Answer:

C

Step-by-step explanation:

ΔDEF ≅ ΔBCA

It's asking which one is similar to ∠E

∠E ≅ ∠C

Question 7: The ratio of M's to A's cat is 5:7. Meg's cat weighs 20 kg. How
much more does Anne's cat weigh?
A) 28 kg
B) 2 kg
C) 8 kg
D) 9.3 kg

Answers

Answer: C

Step-by-step explanation: The ratio shows that Anne's cat is 2kg heavier, but Meg's cat weighs 20kg which is 4 times what the ratio shows the weight is, so the difference of the weight is also 4 times greater, which is 8kg!

The value of weight of Anne's cat will be 28 kg. Then the correct option is A.

What is the ratio?

The utilization of two or more additional numbers that compares is known as the ratio.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The ratio of M's to A's cat is 5:7. Meg's cat weighs 20 kg.

Let 'x' be the weight of Anne's cat. Then the equation is given as,

5 / 7 = 20 / x

Simplify the equation, then we have

5 / 7 = 20 / x

1 / 7 = 4 / x

x = 28 kg

The value of weight of Anne's cat will be 28 kg. Then the correct option is A.

More about the ratio link is given below.

https://brainly.com/question/13419413

#SPJ2

HELP plsssssssss i willgive brainiest

Answers

26: connoisseur
27: engulf
28: emulate
29: stupefy
30: rudimentary
Just comment under my answer if you want the words’ explanations/meanings :)

Answer:

26. connoisseur

27. engulf

28. emulate

29. stupefy

30. rudimentary

Step-by-step explanation:

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