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?

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.

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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Answer:

-8+5 =-3that is answer

Answer:

-8 + 5 = -3

Step-by-step explanation:

(Image)

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°

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

Answer:

Step-by-step explanation:

Number of cars sold in April:

Desired increase rate:

Increase in number:

Number of cars to be sold in May:

Answer:

237

Step-by-step explanation:

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!

Answer:

-18n+20n^2

you just have to distribute

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

Answer:

4.5sqrt5

Step-by-step explanation:

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:

Range: {0, 10, 42}

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

Answer:

35 in per day         Step-by-step explanation:

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

The answer to your problem is 37.

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

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!

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

Answer:

its C.

Step-by-step explanation:

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:

Answer:

idk how to answer

Step-by-step explanation:

i need more info

Answer:

127 degrees

Step-by-step explanation:

it obtuse

Answer:

26. QOR = 59 - 24

= 25

27. POS = 19+31+15

=65

28. ROS = 46 - (61-28)

= 13

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!

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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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]

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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

Answer:

no the answer should be 11

Step-by-step explanation:

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: