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2 years ago

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A girl and a puppy are 850 feet apart when they start running towards each other. The girl runs at a speed of 8 feet per second,

and the puppy runs at a speed of 7 feet per second. How soon will they meet?

1 answer:

Agata [3.3K]2 years ago

8 0

Answer:

The correct answer is 56.6666666667 second's

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Annie is creating a stencil for her artwork using a coordinate plane. The beginning of the left edge of the stencil falls at (2,

taurus [48]

Answer:

(A)(12, 9)

Step-by-step explanation:

Given:

The beginning of the left edge of the stencil falls at (2, −1).

A point, say Q on the stencil is at (4, 1).

Point Q divides the stencil into the ratio 1:4.

We are required to find the end of the stencil.

Mathematically, Point Q divides the stencil internally in the ratio 1:4.

For internal division of a line with beginning point $(x_1,y_1)$ and end point $(x_2,y_2)$ in the ratio m:n, we use the formula

$Q(x,y)=(\dfrac{mx_2+nx_1}{m+n} ,\dfrac{my_2+ny_1}{m+n} )$

$(x_1,y_1)=(2, -1)$ , $(x_2,y_2)=?$ , Q(x,y)=(4,1), m:n=1:4

Therefore:

$(4,1)=(\dfrac{1x_2+4*2}{1+4} ,\dfrac{1y_2+4*-1}{1+4} )\\(4,1)=(\dfrac{x_2+8}{5} ,\dfrac{y_2-4}{5} )\\$Therefore:\\\dfrac{x_2+8}{5}=4\\x_2+8=4X5\\x_2=20-8=12\\$Similarly\\\dfrac{y_2-4}{5}=1\\y_2-4=5\\y_2=4+5=9\\(x_2,y_2)=(12,9)$

The correct option is A.

6 0

2 years ago

Read 2 more answers

The volume of a cylinder is 2,200Pi cubic inches. The diameter of the circular base is 10 inches. What is the height of the cyli

svet-max [94.6K]

I think it’s 220 inches

6 0

2 years ago

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Lillian is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Lillian will ea

satela [25.4K]

Answer:

30 c + 100 m = 700

c+ m = 14

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations.

The product of the number of movies where the song was played (m) multiplied by the earnings per movie (30) plus the product of the number of commercials where the song was played (m) multiplied by the earnings per commercial, must be equal to $700.

30 c + 100 m = 700

The number of movies (m) plus the number of commercials (c) is equal to 14.

c+ m = 14

The system is:

30 c + 100 m = 700

c+ m = 14

6 0

2 years ago

Melanie is very concerned with avoiding late fees. The table shows her choices for paying her bills. Method Bill Payment Methods

pshichka [43]

Answer:

3

Step-by-step explanation:

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2 years ago

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Austin takes 1 minute and 45 seconds to run three-quarters of a circular track. His rate of motion is π/ radians per second.

valentina_108 [34]

Length of circular track is:

L = 2*r*pi

He run 3/4 of it so length is:
L' = 3*2/4*r*pi = 3/2*r*pi

To calculate speed of his movement we use formula:
v = s/t where s = L' and t = 1 minute 45 seconds = 105 seconds

v = L'/t = $\frac{3*r*pi}{2*105}$

v = r* pi/70

If we take that r = 1 answer is $\pi /70$

6 0

2 years ago