The length of a rectangle is represented by L. If the width of the rectangle is one-half of its length, represent its width.

Answer:

arc m AE = 120

Step-by-step explanation:

∠C = 1/2 (AE-BD)

We can fill most of that in with the info we were given:

36= 1/2(AE-48)

Multiply both sides by 2 to get

72 = AE - 48 so  

AE = 120°

Answer:

children take 3 pieces of candy are 6

Step-by-step explanation:

x+y=19-1          x+y=18

3x+5y=85-7    3x+5y=78

eliminate x by multiplying the first equation by 3:

3x+3y=54

3x+5y=85   subtract

(3x+3y)-(3x+6y)=54-78

3x-3y-3x-5y=-24

-2y=-24         y=-24/-2=12

y=12 , substitute for y:

x+y=18

x=18-12

x=6

check: 3x+5y=78

3(6)+5(12)=78

18+60=78 correct

Answer:

The initial value is 1500

growth

43 % growth

Step-by-step explanation:

Exponential equations are in the form

y = a * b^x

a is the initial value

b is the growth or decay

b>1 is growth b-1 rate  of growth

b <1 decay  1-b rate of decay

f(x) = 1500 * 1.43 ^x

The initial value is 1500

1.43 > 1 so it is growth

1- 1.43 = .43

Change to percent

43 % growth

The scale factor of the dilation shown in the diagram 2.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

The image and pre image are shown in figure.

Now, We know that;

The basic formula to find the scale factor of a dilated figure is,

⇒ Scale factor = Dimension of the new shape ÷ Dimension of the original shape.

Substitute the given values, we get;

⇒ Scale factor = 6 / 3

⇒ Scale factor = 2

Thus, The scale factor of the dilation shown in the diagram 2.

Learn more about the divide visit:

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Answer:1/2

Step-by-step explanation:

got it right on edge

Answer:

hope it will help uh.....

Answer:

x = 4.95

Step-by-step explanation:

4x - 19.8 = 0

4x = 19.8

x = 4.95

Answer:

We can call the numbers x and x + 1. Then we can write:

x + x + 1 = 113 which simplifies to 2x + 1 = 113.

Answer:

Hey there!

The correct answer would be x+x+1=113, or 2x+1=113.

Let the smaller number be x, then the larger number would be x+1

Thus, the sum of x and x+1 would be 2x+1.

We have that 2x+1=113.

Now, this is just a simple linear equation we have to solve.

Start by subtracting 1 to get 2x=112

Then, divide by 2 to get x=56

Since x=56, x+1 would be 57.

Thus, you would have the two numbers be 56 and 57, and use 2x+1 to solve.

Hope this helps :)

Answer: B

Step-by-step explanation:

If we assume the no. of books to be x.

Value of more books will be 8.15 x

The equation will be

8.15x + 32.5 = 204

Answer:

a₇ = - 0.4

Step-by-step explanation:

The n th term of a geometric progression is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 6250 and r = [tex]\frac{1250}{-6250}[/tex] = - [tex]\frac{1}{5}[/tex] , thus

a₇ = - 6250 × [tex](-\frac{1}{5}) ^{6}[/tex]

    = - 6250 × [tex]\frac{1}{15625}[/tex] = - [tex]\frac{6250}{15625}[/tex] = - 0.4

Let us take the 2nd equation.

x + 2z = 4

x = 4 - 2z

Let us substitute this value of x in equation 1.

5x + 2y + z = 4

5(4-2z) + 2y + z = 4

20 - 10z + 2y + z = 4

2y - 9z + 20 = 4

2y = 9z - 16

y = (9z - 16)/2

Let us substitute this value of y, as well as that of x that we used earlier, in the third equation.

2x + y - z = -1

2(4-2z) + (9z-16)/2 + z = -1

8 - 4z + (9z/2) - 8 + z = -1

Let us multiply both sides of this equation by 2.

16 - 8z + 9z - 16 + 2z = -2

3z = -2

z = [tex]\frac{-2}{3}[/tex]

x = 4 - 2z

  = 4 + [tex]\frac{4}{3}[/tex]

  = [tex]\frac{16}{3}[/tex]

y = (9z-16)/2

  = ([tex]\frac{-18}{3}[/tex] - 16)/2

  = ( [tex]\frac{-66}{3}[/tex])/2

  = -22/2

  = -11

Therefore, x = [tex]\frac{16}{3}[/tex], y = -11, and z = [tex]\frac{-2}{3}[/tex].

Answer:

Step-by-step explanation:

First let's find the value of x :

We khow that the area of this triangle is 400 and it is given by the product of the base and the height over 2

Let's find the hypotenuse :

The pythagorian theorem :

Answer:

44%

Step-by-step explanation:

For these types of problems, look at the totals. We know that there are 0.44 out of 1 eighth graders. Since it doesn't specify how the 8th grader is dropped off, we take 0.44 and divide it by 1 (the total). We get 0.44, but since it's most likely asking for percentages, multiply that by 100.

Answer:

y is equal to 50 degrees.

Step-by-step explanation:

The sum of the angles of a triangle is always 180 degrees.  To find what y is, subtract 80 from 180 and divide the difference by 2.  This will give you 50 degrees.

Answer:

y= 50°

Step-by-step explanation:

∠A =∠B = y. So, ΔABC is an isosceles triangle.

Sum of angles of triangle = 180

∠A + ∠B + ∠C = 180

y + y + 80 = 180   {add like terms}

2y + 80 = 180  {Subtract 80 from both sides}

2y + 80 - 80 = 180 - 80

2y = 100   {divide both sides by 2}

2y/2 = 100/2

y= 50°

Answer: AI:EF

Step-by-step explanation:

Answer:

D. ) AI:EF

Step-by-step explanation:

PLATO

Answer:

6/12

Step-by-step explanation:

Got it right on test

Answer: 6 / 12

Step-by-step explanation: I took the test 2 hours ago xD

Answer:

20a² + a

= a(20a + 1)

Step-by-step explanation:

2a + 5a × 4a - a

= 2a + 20a² - a

= 20a² + a

Answer:

5,615 km.

Step-by-step explanation:

The first flight, she traveled for 3 hours at a speed of 625 km/h.

[tex]\frac{625}{1} =\frac{x}{3}[/tex]

x = 625 * 3

x = 1,875.

The first flight, she traveled 1,875 km.

The second flight, she traveled for 4.25 hours at a speed of 880 km/h.

[tex]\frac{880}{1} =\frac{x}{4.25}[/tex]

x = 880 * 4.25

x = 3,740.

The second flight, she traveled 3,740 km.

So, in total, she traveled 1875 + 3740 = 5,615 kilometres.

Hope this helps!

Answer:

6[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

4x-12 = x+7

4x-12+12 = x+7+12

4x = x+19

4x-x = x+19-x

3x=19

x = 6[tex]\frac{1}{3}[/tex]

And if we substitute the value of x into the equation 4x-12 = x+7,

we will get 13[tex]\frac{1}{3}[/tex] = 13[tex]\frac{1}{3}[/tex] in the end.

Hope this helps :)

Answer:

150 degrees

Step-by-step explanation:

You can figure this out by looking at the degrees below d, and you see it is thirty, and that it is equal to the degree above the x, so then you subtract 30 from 180 to get 150. Hopefully that makes sence, I forgot what some of the terms are called.

Answer:

I hope it will help you :)

Answer:

2.6+7.4 or 2.4+7.6

Step-by-step explanation:

Both of the above equals to 10!

Answer:

average speed = 8y/s

Step-by-step explanation:

Formula

s = d/t

d = 40 yards

t = 5 seconds

s = 40y/5s

= 8y/s

Answer:

A.

Step-by-step explanation:

Since range is y-axis based, we are looking at the y-values. We see that the endpoints of the graphed segment are closed points, so they are included in the range. That eliminates B (exludes values) and C (Not infinity, it's a segment, not a line). Choice A is the best answer because when you identify the y-values, you get -8 to -3 included.

Answer:

5

Step-by-step explanation:

Number of players injured in a game count the other side

Answer:

26) translation: (x - 4, y + 3)

27) see down below

Step-by-step explanation:

26) Its a translation since the shape isn't reflected nor rotated. To find the translation, you can see that the shape would move 4 to the left (- 4), and up 3 ( + 3), which gives you (x - 4, y + 3) (x determines left/right and y determines up/down).

27)

<1 = 135

<2 = 45

<3 = 45

<4 = x = 20

<5 = 135

<6 = 45

<8 = 135

Answer: £25

Step-by-step explanation:

Given the following :

pink paint production = mixing red and white paint in the ratio 2 : 3

Price of red paint = 80 per 10 Litre

Price of white paint = 5 per 10 Litre

Selling price of pink paint = £60 per 10 litre

Recall the ratio of red to white paint :

2 : 3 ; 2 +3 = 5

Therefore,

Amount of Red paint used:

= (2/5) × 10 ; 20/5 = 4,

Cost per Litre = 80 / 10 = £8

Cost of red paint = 4 × 8 = £32

Amount of white paints used:

= (3/5) × 10 ; 30/5 = 6

Cost per Litre = 5 / 10 = £0.5

Cost of white paint = 6 × 0.5 = £3

Total cost of production = £(32 + 3) = £35

Profit = selling price - product cost

Profit = £(60 - 35) = £25

Answer:

  9

Step-by-step explanation:

Put the given information into the equation and solve for x.

  y = (2/3)x -6

  0 = (2/3)x -6 . . . . . substitute for y

  0 = x - 9 . . . . . . . . multiply by 3/2

  9 = x . . . . . . . . . . . .add 9

The x-coordinate of the x-intercept point is 9.

Answer:

x=9

hope this helps :>

The questions doesn't really specify much here is as much I can say.

Since 50 is the slope we can say that this is the hourly cost of a car repair (as stated in the question).

20 represents the y-intercept so this could represent the cost for the technician to look at whats wrong with the car.

Best of Luck!

Answer:

C. Adding 18 to both sides isolates the variable term

Step-by-step explanation:

We can get rid of A and C because we can clearly see that we are adding, not subtracting.

The reason why C is correct is because we are isolating 6x, the term, and not x, the variable.