A dog and a cat are 200 meters apart when they see each other. The dog can run at a speed of 30 meters per second, while the cat can run at a speed of 24 meters per second. How soon will the cat catch the dog if the cat starts running after the dog?

Answer:

1 hour and 48 minutes

Step-by-step explanation:

270/2 hours = 135 per hour for 3 people

135/3 people = 45, so each person delivers 45 per hour

45 x 5 people =225 per hour

405/225 = 1.8 hours

It will take 1.8 hours for five people to deliver leaflets to 405 houses.

Given that, 3 people take 2 hours to deliver leaflets to 270 houses.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Here,

270/2 hours = 135 leaflets per hour for 3 people

135/3 people = 45, so each person delivers 45 leaflets per hour

45 x 5 people =225 per hour

405/225 = 1.8 hours

Hence, it will take 1.8 hours for five people to deliver leaflets to 405 houses.

To learn more about the unitary method visit:

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Answer:

A is correct ..............

Given:

Vertex of a quadratic function is at (3,-10).

The quadratic function passes through the point (0,8).

To find:

The equation of the quadratic function.

Solution:

The vertex form of a quadratic function is:

[tex]y=a(x-h)^2+k[/tex]              ...(i)

Where, (h,k) is vertex and a is a constant.

Vertex of a quadratic function is at (3,-10). So, [tex]h=3,k=-10[/tex].

[tex]y=a(x-3)^2+(-10)[/tex]

[tex]y=a(x-3)^2-10[/tex]              ...(ii)

The quadratic function passes through the point (0,8).

Putting [tex]x=0,y=8[/tex] in (ii), we get

[tex]8=a(0-3)^2-10[/tex]

[tex]8+10=a(-3)^2[/tex]

[tex]18=9a[/tex]

Divide both sides by 9.

[tex]2=a[/tex]

Putting [tex]a=2[/tex] in (ii), we get

[tex]y=2(x-3)^2-10[/tex]

Therefore, the correct option is J.

Answer:

200.96

803.84

Step-by-step explanation:

I wasn't sure if 16mm was the radius or diameter. If it's the diameter then use the first answer. If it was the radius then use the second answer.

In order to find the area of a circle use equation

[tex]A=\pi r^2[/tex]

r = radius, which is half of the line along the circle. If you have the diameter simply divide it by two and you have the radius.

Answer: B

Step-by-step explanation:

18%/38%= about 47%

Answer:

1/676

Step-by-step explanation:

In a deck of cards there are 2 red 8's ( 8 of diamonds and 8 of hearts)

P( red 8)  = number of red 8's/ total

               = 2/52 = 1/26

Then we put the card back so there are still 52 cards

In a deck of cards there are 2 black 10's ( 10 of spades and 10 of clubs)

P( black)  = number of black 10's/ total

               = 2/52 = 1/26

Multiply the probabilities together

P( red 8, black 10) = 1/26 * 1/26 = 1 /676

Answer:

A. 8 feet

Step-by-step explanation:

96 = 12 (x)

96/12 = x

8 = x

Answer: The slope intercept is at (0,5)

Step-by-step explanation: This is because the line intercepts the y-axis at (0.5).

The question is incomplete, let's take an hypothetical value for the Area of the circle ;

Let the are aid the circle = x in²

Answer:

Kindly check explanation

Step-by-step explanation:

The scale factor = 5/4

The initial area of square = x in²

The area of the circle after dilation will be :

Scale factor * initial area of circle

5/4 * x in²

Area after dilation = 5/4(x) in²

Just substitute the original value of the square for X in the solution to obtain the exact answer.

Answer:

its 100 so it would literally just be 100 - 21

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Pythagorean theorem: the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

C = the square root of A squared + B squared.

plug in the numbers

C = the square root of 9 squared + 12 squared = 15

Answer:

15

Step-by-step explanation:

[tex] {9}^{2} + {12}^{2} = c ^{2} \\ 81 + 144 = {c}^{2} \\ 225 = {c}^{2} \\ \sqrt{225} = c \\ \sqrt{225} = 15[/tex]

Answer:

27x30=810

Step-by-step explanation:

Answer: Mr.Smith ordered 810 baseballs

Step-by-step explanation:

To find the answer we need to:

1) Since, we know that Mr.Smith ordered 27 boxes and 30 baseball are in each of them. We need to multiply.

27 x 30 = 810

Answer:

solution:

[tex] \sqrt{98 \times 2} [/tex]=[tex] \sqrt{196} [/tex]=[tex] \sqrt{14²} [/tex]=±14 is your answer

Answer:

[tex]\sqrt{98\cdot \:2}[/tex]

[tex]=\sqrt{196}[/tex]

[tex]=\sqrt{14^2}[/tex]

[tex]=14[/tex]

OAmalOHopeO

Answer:

C.

represent 0

hope it helps

Answer:

the answer is 84 being how you asked the question but I dont think thats what you meant to ask. if thars wrong just tell me and ill answer it the way you need it

Step-by-step explanation:

Answer:

84 miles

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

La respuesta al ejercicio es:

Step-by-step explanation:

Teniendo en cuenta que el capital inicial es de $9,000.00 y el capital tras un año es de $9,400.00, se identifica en primera instancia que la ganancia gracias al interés anual fue de $400, por lo cual se pueden tener en cuenta las siguientes variables:

Y el siguiente sistema de ecuaciones:

En la segunda ecuación, cambiaremos los porcentajes para facilitar los cálculos posteriores:

   2. x * 0.05 + y * 0.04 = 400

Lo cual también se puede representar como:

   2. 0.05x + 0.04y = 400

Procedemos a despejar una variable, en este caso despejaré la variable y de la primera ecuación:

Y la reemplazaré en la segunda ecuación:

Ahora operamos:

Restamos las variables x:

Y despejamos el valor real de x:

Ya que x es el monto de dinero puesto al 5% anual, ahora sabemos que dicho monto fue $4,000.00, por último, reemplazamos este valor en la primera ecuación para identificar el valor de y:

Por último, sabemos que el monto de dinero puesto al 4% fue $5,000.00.

I think the answer is -5.

Answer:

4ft

Step-by-step explanation:

500=pir^2h

r^2=500/(10*pi)

r=3.989ft

60+40=x

y=x+9

MInus

x=100

y=109

Diffrence 9

Answer:

x = -20

y = -11

Answer:

Step-by-step explanation:

How many meters are equal to 4,581 centimeters?

100cm = 1m

4581 cm = x

Use how the placement of the decimal point changes when dividing by a power of 10 to help you

Answer:

u = 2√3 ≈ 3.46410162

Step-by-step explanation:

Because this is a right triangle, you can use the trigonometric formulas:

tangent = opposite side/adjacent side

sine = opposite side/hypotenuse

cosine = adjacent side/hypotenuse

Here, we have the measure of an angle, 60°. Side u is opposite to it and the hypotenuse, 4, is given. We can use these numbers to work with:

sine = opposite side/hypotenuse

sin(60) = u/4

sin(60)/1 = u/4

Cross multiply:

u = 4 (sin(60))

Input into calculator:

u = 2√3 ≈ 3.46410162

Answer:

150

Step-by-step explanation:

us I'd send bag I'd send veg svdudhvgdkdbdbdudduddh

Answer:

150.9 cubic inches

Step-by-step explanation:

volume of he gas = volume of a cone x 3/4

Volume of a cone 1/3(nr^2h)

n = 22/7

r = radius  

h = height

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

8/2 = 4 inches

1/3 (22/7 x 4^2 x 12) = 201.142857 in^3

volume of the gas = 3/4 x 201.142857 in^3 = 150.9 in^3

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Answer:

The GCF is 12t

Step-by-step explanation:

Here, we want to calculate the greatest common factor of the given polynomials

To do this, we need to write each as the product of its prime factors

We have this as;

48t = 2 * 2 * 2 * 2 * 3 * t

60st = 2 * 2 * 3 * 5 * s * t

we then bring out pairs of similar terms

So the GCF would be;

2 * 2 * 3 * t = 12t