The point V(-5, 6) is rotated 180° counterclockwise around the origin. What are the coordinates of the resulting point, V′?

Answer:

£1.92

Step-by-step explanation:

3.36/14 will give you the cost of each pencil

£0.24 is the cost of one pencil

8 pencils will cost you £1.92

Answer:

f = 1.1 Hz

Step-by-step explanation:

Given that,

The velocity of an ocean wave, v = 4.4 m/s

The distance  between the crest of each wave is 4 m.

We need to find the frequency of the waves.

The distance between the crest of a wave is called the wavelength of a wave.

The relation between the frequency, wavelength and the velocity of a wave is given by :

[tex]v=f\lambda\\\\f=\dfrac{v}{\lambda}\\\\f=\dfrac{4.4}{4}\\\\f=1.1\ Hz[/tex]

So, the frequency of the waves is 1.1 Hz.

Answer:

Step-by-step explanation:

1/4 :10=1/40

1/40=x/4

x=4/40=1/10

Answer:

-6/5

Step-by-step explanation:

slope =coefficient of x

Answer:

9 cups of grape juice = 10 cups of apple juice.

Step-by-step explanation:

2 cups of grape juice = 3 cups of apple juice

9 cups of grape juice = ? cups of apple juice

9-2=7 cups of grape juice

3+7=10 cups of apple juice

9 cups of grape juice = 10 cups of apple juice.

Answer:

$45

Step-by-step explanation:

15 + (150 * 0.20)

15 + 30

$45

Answer:

234

Step-by-step explanation:

1950 x 0.88 = 1716 paid

1950-1716 = 234

Answer:

385 yards

Step-by-step explanation:

From the information provided we can only assume that the two hits that Tasha performed were in a straight line and in the same direction. Otherwise we would need to know the direction and/or angle of the shots. Assuming they were straight, the shortest minimum distance between the tee area and the hole would be calculated by adding the distance of the two shots.

220 yards + 165 yards = 385 yards

Answer:

A and D

Step-by-step explanation:

because they pass through the origin

Answer:

15

Step-by-step explanation:

Answer:

4r^12 t^2

Step-by-step explanation:

Use the exponants : ( 8r^6t^3 )/4t^2

simplifie :( 2r^6t^3 )/t^2

Use the exponent : ( 2r^6t^3 )/t^2 = 4r^12t^2

Answer:

1. 14x

2. 5x + 3x

Step-by-step explanation:

1) 4x + 10x = 14x

2) By "like-terms" the question means that the expression contains the same variable part. Therefore, the only expression that meets that is 5x + 3x.

$9436 EMI Keri has to pay for $500,000 loan at the rate of 5% for 5 years.

equated monthly instalment or EMI relates to payments made regularly to repay an outstanding loan within a certain time frame.

Given loan rate is 5% and time period is 5 years let total amount is $500,000. Formula for EMI Calculation is -

P x R x (1+R)^N / [(1+R)^N-1] where-

P = Principal loan amount.

N = Loan tenure in months.

R = Monthly interest rate.

R = Annual Rate of interest/12/100.

Putting these values in above equation

EMI = 500000 *5* *(1 + 5%)^60 / [(1 + 5%)^60]

EMI = 9436

Therefore, Keri must pay a $9436 EMI on her $500,000 loan over five years at a rate of 5%

Learn more about EMI here:

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Step-by-step explanation:

Length : 7cm

Breadth : 5cm

Area of a rectangle :

Length × Breadth

[tex]Area = 7cm \times 5cm \\ = 35 {cm}^{2} [/tex]

Answer:

x = 3 and y = 5

Step-by-step explanation:

Given equations are :

y=5x−10 ..(1)

y=−3x+14 ...(2)

Subtract equation (2) from (1).

y-y = 5x−10-(−3x+14)

0 = 5x-10+3x-14

0= 8x-24

8x = 24

x = 3

Put the value of x in equation (1).

y=5(3)−10

= 15-10

y = 5

So, the values of x and y are 3 and 5 respectively.

9514 1404 393

Answer:

  15 minutes

Step-by-step explanation:

We can let t represent the time in hours that Kara ran today. Then her distance today is ...

  distance = speed · time

  distance = 6t

Her total distance for both days is ...

  5 + 6t = 6.5

  6t = 1.5 . . . . . . . . . . subtract 5

  t = 1.5/6 = 1/4 . . . . . divide by 6

Kara ran 1/4 hour today. That is 15 minutes.

Answer: plane a because it was 10.46 miles away

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

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

m=(2-6)/(-6-4)

m=-4/-10

simplify

m=2/5

Answer:

Step-by-step explanation:

Slope is m=(y2-y1)/(x2-x1)

m=(2-6)/(-6-4)

m=-4/-10

m=2/5

Answer:

94

Step-by-step explanation:

Average = sum of numbers /  number of items in the set

for the first list, the average is 90 and there are four numbers, the sum of the numbers is 90 x 4 = 360

If the 4th number is 80, the sum of the first 3 numbers = 360 - 80 = 280

so the sum of the first three numbers on the second list is 260. The fourth number is 96. The sum of the numbers = 280 + 96 = 376

Average of the new list = 376 / 4 = 94

Answer:

x = [tex]\frac{9}{4}[/tex]

Step-by-step explanation:

Given

[tex]\frac{4x}{x+1}[/tex] - [tex]\frac{5}{x}[/tex] = [tex]\frac{4}{x^2+x}[/tex] ← factor denominator

[tex]\frac{4x}{x+1}[/tex] - [tex]\frac{5}{x}[/tex] = [tex]\frac{4}{x(x+1)}[/tex]

[ x ≠ 0, x ≠ - 1 as these would make the terms undefined ]

Multiply through by x(x + 1)

4x² - 5(x + 1) = 4

4x² - 5x - 4 = 4 ( subtract 4 from both sides )

4x² - 5x - 9 = 0 ← in standard form

(x + 1)(4x - 9) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

4x - 9 = 0 ⇒ 4x = 9 ⇒ x = [tex]\frac{9}{4}[/tex]

However, x ≠ - 1 for reason given above, then

solution is x = [tex]\frac{9}{4}[/tex]

This is a special kind of right triangle, called a 30-60-90 triangle.

Across from the 30 degree angle, the side is equal to x. Across from the 60 degree angle, the side is equal to x[tex]\sqrt{3}[/tex]. And across from the 90 degree angle, the side is equal to 2x.

Using what we know about 30-60-90 triangles, lets first solve for x. We know that the hypotenuse, given, is equal to 6.

2x = 6

x = 3

Then, we are looking for the side opposite of the 60 degree angle. So its value is  x[tex]\sqrt{3}[/tex].

x = 3

3 *  [tex]\sqrt{3}[/tex] = 3 [tex]\sqrt{3}[/tex]

y =  3[tex]\sqrt{3}[/tex] (option D)

Hope this helps!! :)

The value of y for the given triangle will be  3√3, hence option (D) will be correct.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

Right angle triangles are triangles in which one angle is 90°.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

Given a right-angle triangle

Let the side opposite to 30° is perpendicular and the remaining y will be base.

By trigonometric relation

cosx = base/hypotenuse

cos30° = y/6  

y = 6 × cos30°  ⇒  y = 6 ×  √3/2

y = 3√3 hence the value of the hypotenuse or y will be 3√3.

For more about triangles,

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Answer:

salim go the best deal sorry if i am wrong

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

Assuming that the line is completely horizontal, that the 1 at the top is indicating the question number, and that the 3 is the only other piece of information given about the line, I think it's y = 3. I hope this is right, sorry because that's a terrible question. Good luck!

Answer:

60%

Step-by-step explanation:

Answer:

7<x-5

12<x

x>12

Step-by-step explanation:

Answer:

Step-by-step explanation:

a+b=36

lets name the 2 numbers a,b

b=a+18

a+a+18=36

2a=36-18

2a=18

a=9

b=27

Answer:

the numbers are 9 and 27

Step-by-step explanation:

equation to the problem: x+y=36

one number (y) is 18 times greater than the other number (x): x+18=y

plug in the 2nd equation to the first equation (systems of equations):

x+(x+18)=36

solve the equation:

2x+18=36

*minus 18 on both sides*

2x=18

*divide the whole equation by 2 to get the value of just one x*

x=9

since variable x is the n smaller number, add 18 to 9 to get the 2nd number:

18+9= 27

y=27

Answer:

x=number of rides taken

y=number of tickets left

60=4(x)+y