Put a digit in the gap, such that the answer is a whole number

10x+11=144...

Answer:

10x+276

Step-by-step explanation:

Use the equation (12)(5/6x+23)=area

Use the distributive property as seen in the image below.

Solve

Now simplify

Answer:

side length of the smaller room = 5 m

Side length of the larger room = 8 m

Step-by-step explanation:

Total area of two square room = 89 m²

Area of a square = side²

Let

x = side of the smaller square

x + 3 = side of the longer square

Total area = area of room A + Area of room B

89 = x² + (x + 3)²

89 = x² + x² + 6x + 9

89 - 9 = 2x² + 6x

2x² + 6x = 80

2x² + 6x - 80 = 0

Divide through by 2

x² + 3x - 40 = 0

Solve quadratic equation using factorization method

x² + 8x - 5x - 40 = 0

x(x + 8) -5(x + 8) = 0

(x - 5) (x + 8) = 0

(x - 5) = 0 (x + 8) = 0

x = 5 x = -8

The side length of a square room can not be a negative value

Therefore, side length of the smaller room = 5 m

Side length of the larger room = 5 + 3

= 8 m

Answer:

It’s A

Step-by-step explanation:

Cuz it’s just the numbers are replaced in different places but when u multiply u get the same ans ig

9514 1404 393

Answer:

  12 cm

Step-by-step explanation:

The distance to the chord is the median of an isosceles right triangle with hypotenuse 20 and leg 16. This 5:4 ratio suggests the other leg of that right triangle would make the ratios 3 : 4 : 5, so is 12.

The chords are 12 cm from the center.

_____

You can, of course, use the Pythagorean theorem. If c is half the chord length and d is the distance to the chord, you have ...

  c² + d² = r²

  16² + d² = 20²

  d² = 400 -256 = 144

  d = √144 = 12 . . . . . cm

Answer:

Step-by-step explanation:

p=4

Q=2

plot an x onto the 4 on th y line and a 2 on the x line

then draw a horizontal line with the ruler provided through 4 and 2

hope it helps :)

The solution to the equations are

a) The coordinates of point P is P ( 0 , 4 ) and Q is Q ( 2 , 0 )

b) The graph is plotted with points P and Q

c) The equation of line is 4x + 2y = 8

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

4x + 2y = 8   be equation (1)

Now , the coordinates of the point P = P ( 0 , y )

The coordinates of the point Q = Q ( x , 0 )

Substituting the values in the equation , we get

when x = 0

4 ( 0 ) + 2y = 8

2y = 8

y = 4

So , the coordinates of the point P = P ( 0 , 4 )

when y = 0

4x + 2 ( 0 ) = 8

4x = 8

x = 2

So , the coordinates of the point Q = Q ( 2 , 0 )

Now , the equation of line is 4x + 2y = 8

when x = { -2 , -1 , 0 , 1 , 2 , 3 }

The values of y are y = { 8 , 6 , 4 , 2 , 0 }

So, the line is plotted in the graph

Hence , the equation of line is 4x + 2y = 8

To learn more about equation of line click :

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Answer:

i think its $0.20

Step-by-step explanation:

 12                 1

------      =   ---------

 2.49          0.20

1 egg = $0.20

Answer:

$57.51

Step-by-step explanation:

If the price of a sweater was $37.38 after a 35% discount, what was the original price? Round your answer to the nearest cent.

The formula for the original price =

= Sales price/1 - Percentage discount

Percentage discount = 35% = 0.35

Original price = $37.38/1 - 0.35

= $37.38/0.65

= $57.507692308

Approximately = $57.51

Therefore, the original price H= $57.51

Answer:

His car is slowing down.

Step-by-step explanation:

During section C, the car decreased in speed (the slope is negative). This is the definition of 'slowing down', hence the answer.

Answer:

C.  His car is slowing down.

Step-by-step explanation:

The slope is going downwards, so this means that he is going slower.

Answer:

Survey 100 residents who have pets completely randomly

Step-by-step explanation:

The best sampling method would be to Survey 100 residents who have pets completely randomly. This would provide first-hand information from actual pet owners which would make the results valid. Also, by choosing the individuals to survey completely randomly it allows for the data to be unbiased and representative of the entire pet owner population in the city. This makes the data gathered completely unbiased and valid.

Answer:

you would need a graph to graph the equation

Step-by-step explanation:

Answer:

I think this help you to draw

Answer:

hiiiiii girlyyy

Step-by-step explanation:

i think the answer is

a/b like a divided by b is the answer

cuz 8 ÷ 3 = 2.7

and 24 ÷ 9 = 2.7

and 40 ÷ 15 = 2.7

so maybe like

b · 2.7 = a

hope this helpsss

Answer:

well on side A, it starts off on 8 (as you can see) and adds 16, which gives you 24, then add another 16 and that gives you 40. Then on side B, it starts with 3, adds 6 which gives you 6, then add another 6 and you'll have 15.

Step-by-step explanation:

Answer:

D.6h+18

Step-by-step explanation:

Answer:

64 cups

Step-by-step explanation:

If 1 gallon is equal to 16 cups then 4 gallons will be 16×4= 64

Hope that helps you!

Answer:

3x + 21 or 21 + 3x

Step-by-step explanation:

Remark

This is an example of the distributive property. Of all the fundamental rules used in solving equations, this is likely the most important, at least at beginning levels.

Solution

What this is saying is two things.

1. you must multiply both terms on either side of the + sign by the factor outside the brackets.

2. You must not destroy a plus (or minus) sign unless the two terms inside the brackets are exactly the same.

3(7 + x)           The terms are not the same, so your answer must have a plus sign

Left side of the plus: 3*7

Right side of the plus: 3 * x

The answer then is 21 + 3x

It is more commonly written as 3x + 21

Answer:

[tex]h= 2x[/tex]

Step-by-step explanation:

Given

Square

[tex]Side = x[/tex]

Triangle

[tex]Base = x[/tex]

[tex]Altitude = h[/tex]

Required

Find h, if both shapes have the same area

The area of the square is:

[tex]Area = x * x[/tex]

[tex]Area = x^2[/tex]

The area of the triangle is:

[tex]Area = \frac{1}{2} * Base*Height[/tex]

[tex]Area = \frac{1}{2} * x*h[/tex]

Equate both areas

[tex]x^2 = \frac{1}{2} * x*h[/tex]

Divide both sides by x

[tex]x = \frac{1}{2} *h[/tex]

Multiply both sides by 2

[tex]2*x = \frac{1}{2} *h*2[/tex]

[tex]2x = h[/tex]

[tex]h= 2x[/tex]

Answer:

-3 over 1

Step-by-step explanation:

Symbolab.com to help

Answer:

I’m not going to try ponte las pilas

Step-by-step explanation:

Answer:

if the ratio is 7/10 then do 10/400 and it will be 28 days

Step-by-step explanation:

Answer:

225

Step-by-step explanation:

450 ÷ 2 = 225

Answer:

225 rooms

Step-by-step explanation:

Find 1/2 or 50% of 450. 50% of 450 is 225. So 225 rooms are full, and 225 are empty.

Answer:

35

Step-by-step explanation:

14+21=7(2+3)=7(5)=35

Answer:

14+21= 35

Step-by-step explanation:

Answer:

1) f(x) = 0.5*(x + 3)*(x - 4)

2) f(x) = -2*x^2 - 2*x + 12

Step-by-step explanation:

Wen we have a quadratic function like:

f(x) = a*x^2 + b*x + c*x

And it has roots at x1 and x2, we can write the function in the factored form as:

f(x) = a*(x - x1)*(x - x2)

then:

1) we have x-intercepts at: (-3, 0) and (4, 0) (then the roots of this function are x = -3 and x =4) and we know that f(1) = -6

we have:

x1 = -3

x2 = 4

then we can write f(x) as:

f(x) = a*(x - (-3))*(x - 4)

f(x) = a*(x + 3)*(x - 4)

Where a is a real number.

and now we can use the fact that f(1) = -6

then:

f(1) = a*(1 + 3)*(1 - 4) = -6

       a*4*(-3) = -6

       a*-12 =  -6

       a = -6/-12 = 1/2 = 0.5

Then the function is:

f(x) = 0.5*(x + 3)*(x - 4)

2) Now we have roots x = 2 and x = .3

Then:

x1 = 2

x2 = -3

Then this function is something like:

f(x) = a*(x - 2)*(x - (-3))

f(x) = a*(x - 2)*(x + 3)

Now we know that f(0) = 12.

then:

f(0) = a*(0 - 2)*(0 + 3) = 12

         a*(-2)*3 = 12

          a*(-6) = 12

          a = 12/-6 = -2

f(x) = -2*(x - 2)*(x + 3)

And we do not want this one written in factored form, so we can just distribute the multiplications to et:

f(x) =  -2*(x - 2)*(x + 3) = (-2*x + 4)*(x + 3) = -2*x^2 + 4*x - 6*x + 12

f(x) = -2*x^2 - 2*x + 12

Answer:

3

Step-by-step explanation:

When you divide two negative numbers, the answer is positive. Since - 15 and -5 are both negative, the answer will have to be positive. Divide 15/5 (just as you would with postive numbers) to get 3 and don't do anything else. The answer has to be 3 because 3 * - 5 = -15 (the opposite of division is multiplication).

Other division rules:

The length and width are 18 meters and 6 meters respectively.

Given that

We know that

The perimeter of the rectangle be

48 = 2 (length + breadth)

48 = 2(3x + x)

48 = 6x + 2x

48 = 8x

x = 6

So, the width is 6 meters.

And, the length be 18 meters.

Therefore we can conclude that The length and width are 18 meters and 6 meters respectively.

Learn more about the rectangle here: brainly.com/question/16167300

Answer:

The anwer is below.

Step-by-step explanation:

To calculate mean a.k.a average of something is when you add all of the numbers in the set and then multiply by the number of numbers there were.

an example : 4, 5,6,7 = 4+ 5 + 6 + 7 + 3 = 25 divided by 5 ( the number of numbers there were ) which is 5 so the mean is 5

To calculate the median you have to organize the set of numbers from least to greatest choose the middle number and that's the median, If there is an even number of numbers in the set then you add the two middle numbers and divide it by 2.  

an example : 5,7, 8, 4 =  4, 5, 7 , 8 = the middle numbers = 5 + 7 = 12 divided by 2 = 6

To calculate the mode you have to see which numbers comes more often in the set of numbers, If there are two different numbers that come often even if one is higher include them in the mode.

An example - 5,6,6,6,6,7,7,7. The mode in this is 6 but 7 comes often to so if your teacher tells you to include more than one mode in these kinds of situation you include 7 or in general you don't have to

To calculate the range you choose the greatest and the lowest numbers and substract the highest to the lowest number in the set.

An example  5, 6, 7 , 9 , 8 = 9 ( the highest number in this set) - ( substraction) 5 ( the lowest number in this set) and 9 - 5 = 4 so the range is 4

Answer:

r = sq rt [v/(h x Pi)]

r = 1.69

Step-by-step explanation:

v=h x Pi x r^2

r^2 = v/(h x Pi)

r = sq rt [v/(h x Pi)]

r = sq rt [67.57 / (7.5 x 3.14)]

r = sq rt 2.8692

r = 1.69

Answer:

Domain: [0, 4]

Range: [0, 4]

Function? Yes

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, our x-values span from 0 to 4. Since both are closed dot, they are inclusive in the domain:

Interval Notation - [0, 4]

Inequality Notation - 0 ≤ x ≤ 4

According to the graph, our y-values span from 0 to 4. Since both are closed dot, they are inclusive in the range:

Interval Notation - [0, 4]

Inequality Notation - 0 ≤ x ≤ 4

Since we see that each x-value has a unique y-value and passes the vertical line test.

∴ the relation is a function.

Answer: f(x)= -3x 2 -5x +8

Step-by-step explanation:

Answer:

x = 67º

Step-by-step explanation:

the sum of two angles on the same side = 180º so

x + 113º = 180º                       subtract 113º from both sides

x = 67º