In the visit to the Old Folks' Home last weekend, Alice spent time chatting with Mr Han and helping him with simple chores. She found that Mr Han is 36 years older than her. 7 years later, Mr Han will be 3 times as old as her. How old is Mr Han now?

Answers

Answer 1

I think Mr. Han is around the 60 or 70 age.

I am really sorry that I couldn't answer this problem.  Try starting with 21 and multiply that by 3.  To check if you can do it, add 43 to the number you multiply 3 with.  Again, i am really sorry that i only wrote a hint.  Good luck finding the answer!

Answer 2

Now the age of Mr. Han will be 54 years old.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Let x be the age of Mr. Han and y be the age of Alice.

She found that Han is 36 years older than her. Then the equation will be

x = y + 36     ...1

7 years later, Han will be 3 times as old as her. Then the equation will be

(x + 7) = 3(y + 7)

x = 3y + 14   ...2

From equations 1 and 2, we have

3y + 14 = y + 36

2y = 22

y = 11

Then the value of x will be

x = 11 + 36

x = 47

The age of Mr. Han will be

⇒ 47 + 7

⇒ 54

Now the age of Mr. Han will be 54 years old.

More about the solution of the equation link is given below.

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Related Questions

Side AB measures five units, Side BC is two units, Side CD is five units, side DA is two units. what is the correct length for each side of the translated figure

Answers

Answer:

Step-by-step explanation:

It's given in this question,

Length of side AB = length of side CD = 5 units

Length of side BC = length of side AD = 2 units

If the given quadrilateral is translated lengths of all the image sides will not be equal because translation of a figure is a rigid transformation.

And in rigid transformations length of the sides and the angles between the sides never change.

Answer:

first is 5 second is 2 then the third on is 5 then last on is 2 so the order should be 5,2,5,2  Step-by-step explanation:

What is the prime factorization of 28? Please Help! This is due tomorrow! I really want to get an A! Help, please!!!!!!!!!!!!

Answers

The answer is 2•2•7
Hope this helps

Bamboo plants can grow 91 centimeters per day. What is the approximate growth of the plant in inches? Round to the nearest hundredth

Answers

Answer:

35 in per day         Step-by-step explanation:

name the part of the circle and explain your answer. (not radius)

Answers

Chord. Both of the end points are within the circle.

Can you please help ASAP!!! WILL MARK YOU BRAINLIEST Which of the following steps would not be necessary when using the square root property to solve a quadratic​ equation? When taking the square root of both​ sides, use ± on the square root of the constant. The square root property may be applied only if the constant is positive. Isolate the quantity being squared. After applying the square root​ property, solve the resulting equations.

Answers

Answer:

The square root property may be applied only if the constant is positive

Step-by-step explanation:

Defenitly sure because I did ASAP also! Your Welcome! Please Mark me Brainliest!

Determine the domain and range of the given function. The domain is . The range is

Answers

Answer:

A: all real numbers

and

B: All real numbers greater than or equal to -2

Step-by-step explanation:

edg2021

The domain refers to values on the X-axis, and as you can see there are arrows on the orange line, meaning it goes on "forever". This is all real numbers.

The y-axis (range) has the line go through at -2. The line is pointing up, which means all the numbers are greater than -2, or could be equal to -2.

Answer:

lA: all real numbers

B: All real numbers greater than or equal to -2

Step-by-step explanation:

When a number is doubled and then added to 24,the result is 49

Answers

Answer:

12.5 has to be the number that was doubled.

Step-by-step explanation:

24+2x=49 is your equation

you subtract 24 from 49 you get 25

25 divided by 2 is 12.5 there for 12.5+12.5 is 25

25+24=49

Hope this helps!

What is the missing output?

Answers

Answer:

28

Step-by-step explanation:

We substitute all of the x's for threes to get the output.

f(3)= 3(9)-(2*3)+7

f(3)= 27-6+7

f(3)= 21+7

f(3)= 28

the missing output is 28.

Janelle is using a piece of cardstock to create an open box with no top. The cardstock is 8 inches by 11 inches. She cuts a square with length out of each corner and folds up the sides to create the box. Find the volume of the box, , in standard form.

Answers

Answer: 4x^3-38x^2+88x

Step-by-step explanation:

The volume of the box in standard form is 4x³ - 38x² + 88x

Since Janelle cuts a square of side length x out of each corner of the cardstock, we have a length x + x = 2x cut out of each dimension of the cardstock.

Since the dimensions of the cardstock are 8 inches by 11 inches, cutting out a length of 2x inches from each dimension to produce the length, L and width, w of the open box, we have the length of the open box, L = 8 -2x and the width of the open box, W = 11 - 2x.

Since the height of the open box is the length x of the square cut out of each corner, and the open box is a rectangular box,

So, the volume of the box is

V = LWx

Substituting the values of the variables into the equation, we have

V = LWx

V = (8 - 2x)(11 - 2x)x

Expanding the brackets, we have

V = (88 - 16x - 22x + 4x²)x

V = (88 - 38x + 4x²)x

V = 88x - 38x² + 4x³

Re-arranging, we have

V = 4x³ - 38x² + 88x

So, the volume of the box in standard form is 4x³ - 38x² + 88x

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A car dealership sold 36 cars in April. The dealership wants to increase the number of cars sold by 40% in May. How many cars will the dealership need to sell to reach their goal?

Answers

Answer:

51

Step-by-step explanation:

Number of cars sold in April:

36

Desired increase rate:

40%

Increase in number:

36*40/100 ≈ 15

Number of cars to be sold in May:

36 + 15 = 51

Answer:

237

Step-by-step explanation:

model the following expression: - 8 + 5.

Answers

Answer:

-8+5 =-3that is answer

Answer:

-8 + 5 = -3

Step-by-step explanation:

(Image)

Evaluate 8a + 3b - 10 + c^2 when a = 2,b = 5 and c = 4

Answers

The answer to your problem is 37.

Simplify 7 to the power of 6 ⋅ 7 to the power of 5.

Answers

7^6 = 117649
7^5 = 16807

so now you multiply

If y = 2x and 3x – 3y = 2, then x = what ?

Answers

X= -2
—-
3
If y=2x you’d need to plug it in to the equation which would be

3x - 3(2x) = 2
3x - 6x = 2

-3x = 2
—— —-
-3 -3

So,
X= -2
—-
3

An equation is formed when two equal expressions are equated together with the help of an equal sign '='. The value of x in the two of the given equations is 2/–3.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that y = 2x and 3x – 3y = 2, therefore, if we substitute the value of y from y=2x into the second equation 3x-3y=2, then,

3x – 3y = 2

3x – 3(2x) = 2

3x – 6x = 2

–3x = 2

x = 2/–3

Hence, the value of x in the two of the given equations is 2/–3.

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A cylinder has base radius 4 feet and height 8.5 feet. Find its volume.

Answers

The answer to the question is 34

If miley has 200 pencils and Katie has 300 more pencils then how many more does Katie have then miley

Answers

Answer: 300

Step-by-step explanation: 300+200=500

then 500-200=300

Answer:

answer is 300

Step-by-step explanation:

it explains that she has 300 more

Round to the nearest whole number.
432.846

Answers

Answer: 433 of course

432 is the whole number and 846 is the decimal,

the number closest to the whole number is 8

we can only round the number forward if the number is 5 or more than 5 (6,7,8,9)

so 432.856 rounds to 433

Answer:

433

Step-by-step explanation:

846 is closer to 433 than it is to 432.

So, the answer is 433.

Hope this helps!

Please solve! 50 points

Answers

Answer:

36

Step-by-step explanation:

First of all, the area of a circle is always pi(r)^2, which we can then substitute values. We will get pi(10)^2, and once we simplify that, we get 100pi as the area. Since we know that the area of the shaded sector is 10 pi, we can divide 10pi by 100pi to get 1/10. 1/10 is the area of the shaded sector compared to the area of the whole circle. Multiply 1/10 by the angle measure of a circle, which is 360, to get 36 degrees.

Answer:

36

Step-by-step explanation:

The answer is 36 trust me

WILL MARK YOU BRAINLIEST

Answers

Answer:

26. QOR = 59 - 24

= 25

27. POS = 19+31+15

=65

28. ROS = 46 - (61-28)

= 13

Lines CE and AD intersect at point B. 37° What is the measure of angle DBE? 370 530 O 1270 0 1430​

Answers

Answer:

idk how to answer

Step-by-step explanation:

i need more info

Answer:

127 degrees

Step-by-step explanation:

it obtuse

PLZ HELP ASPP WILL MARK UOU AS BRAINLIST

Answers

Answer:

4.5sqrt5

Step-by-step explanation:

I need help 9th grade

Answers

b is the correct answer because it equals the amount of the proplem

Answer:

its C.

Step-by-step explanation:

If ∠ABD and ∠CBD are a linear pair, m∠ABD = (3x+31)°, m∠CBD = (2x-6)°, then find m∠ABD. *

Answers

Answer:

∠ ABD = 124°

Step-by-step explanation:

A linear pair of angles sum to 180°, thus

∠ ABD + ∠ CBD = 180 , substitute values

3x + 31 + 2x - 6 = 180, that is

5x + 25 = 180 ( subtract 25 from both sides )

5x = 155 ( divide both sides by 5 )

x = 31

Thus

∠ ABD = 3x + 31 = 3(31) + 31 = 93 + 31 = 124°

Write an equation in slope-intercept form of the line that is a segment bisector of both AB and CD. Ay 4 B(6,3) A(-4,1) -4 -2 2. 4 6 X D(5, -1) -2 4 C1-1,-5) -6​

Answers

Answer:

y = -5x + 7

Step-by-step explanation:

Given that the location of the points are:

A(-4, 1), B(6, 3), C(-1, -5) and D(5, -1)

The location of the bisector of a line is given as:

[tex]x=\frac{x_1+x_2}{2} \\\\y=\frac{y_1+y_2}{2}[/tex]

If E(x1, y1) is the bisector of segment AB then the location of E is at:

[tex]x_1 =\frac{-4+6}{2}=1 \\\\y_1=\frac{1+3}{2}=2[/tex]

Hence E is at (1, 2)

If F(x2, y2) is the bisector of segment CD then the location of F is at:

[tex]x_2 =\frac{-1+5}{2}=2 \\\\y_2=\frac{-5-1}{2}=-3[/tex]

Hence F is at (2, -3)

Hence the line that is a segment bisector of both AB and CD pass through the point (1, 2) and (2, -3).

The equation of the line is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-2=\frac{-3-2}{2-1}(x-1)\\ \\y-2=-5(x-1)\\\\y-2=-5x+5\\\\y=-5x+7[/tex]

Answer: The equation is: y = -5x + 7.

Step-by-step explanation:

Given that the location of the points are:

A(-4, 1), B(6, 3), C(-1, -5) and D(5, -1).

Midpoint of A(-4, 1), B(6, 3) is = [tex]\left(\frac{\left(-4+6\right)}{2},\frac{\left(1+3\right)}{2}\right)=(1,2)[/tex].

Midpoint of C(-1, -5) and D(5, -1) is [tex]\left(\frac{\left(-1+5\right)}{2},\frac{\left(-5-1\right)}{2}\right)=(2,-3)[/tex].

Using point slope formula:

[tex]\frac{y-2}{x-1}=\frac{-3-2}{2-1}\\\frac{y-2}{x-1}=-5\\y-2=-5x+5\\y=-5x+7[/tex]

Learn more: https://brainly.com/question/1594198

If the domain of the function f(x)=2x2- 8is {-2, 3, 5}, then the range is

Answers

Answer:

{0, 10, 42}

Step-by-step explanation:

Domain is set of input values and range is set output values.

For the function f(x) = 2x² - 8 and domain set of {-2, 3, 5}

Range is:

f(-2) = 2(-2)² - 8 = 0f(3) = 2*3² - 8 = 10f(5) = 2*5² - 8 = 42

Range: {0, 10, 42}

When Emmett began his science experiment, he has 20 millimeters of an unknown solution. During the experiment, the change in the volume of the solution was -9 milliliters. What was his final volume of the solution.
To solve the problem, dakota added 20+( -9 ) and came up with an answer of -11 milliliters. Is Dakota correct? Why or why not ?





A : yes, dakota is correct

B: No. The answer should have been 11 milliliters, not -11 milliliters, because the volume should not be negative

C: No. Dakota should have subtracted 20 - (-9) because the volume decreased

Answers

The answer to the question is B because that would be 11

Answer:

no the answer should be 11

Step-by-step explanation:

PLEASEEE HELPP ME !!! I NEED THE ANSWERS ASAP!!!

Answers

Answer:

1.

Step-by-step explanation:

Since the line segment FH bisects angle EFG, angle HFG = Half of Angle EFG.

Angle EFG = 177 - 9x. Angle HFG = 92 - 8x.

177 - 9x = 2(92 - 8x)

177 - 9x = 184 - 16x

7x = 7

x = 1.

Step-by-step explanation:

x=85 hope it helps you. mark as brilliant

3+ (-5) explain please i need it asap so... hurry! pls

Answers

Answer:

-2

Step-by-step explanation:

3 + -5

Adding -5 is like subtracting 5

3 -5

-2

Answer:

-2

Step-by-step explanation:

You need to add a positive number and a negative number.

This is how you add a positive number and a negative number.

First, get rid of the signs and make them both positive.

Now you have 5 and 3.

Do a subtraction the way you first learned subtraction in elementary school, which is the larger number minus the smaller number.

5 - 3 = 2

The answer is either 2 or -2.

To finish the original addition, look at the two original numbers. 5 is greater than 3. 5, the greater value, is on a negative number, so the answer is negative.

3 + (-5) = -2

Combining Like Terms Simplify -2n(9-10n)

Answers

Answer:

-18n+20n^2

you just have to distribute

Continue each pattern with the next two numbers.
2.11,13,16,20,25,31,38?

Answers

Answer:

the next two numbers would be: 46 and 55

Step-by-step explanation:

the pattern is adding. you added 2 to 11, 3 to 13, 4 to 16, 5 to 20, 6 to 25, and 7 to 31.

so you just add 8 to 38, and add 9 to whatever you got when you added 8 to 38, which was 46

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