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Marta_Voda [28]
3 years ago
11

Please answer both questions and show all your work. Thank you!!! :)

Mathematics
2 answers:
Anna71 [15]3 years ago
7 0

I can answer the first one.

Just do 3150/1000

Mutiply by 4 for rabits and 2 for chickens

nignag [31]3 years ago
4 0

(1) let "r" denote number of rabbits, "c"  number of chickens

Set up the equations:

r + c = 1000\\4r + 2c = 3150\\\\-2r -2c = -2000\\4r + 2c = 3150\\\\2r = 1150\implies r = 575\implies c = 425

Answer: There are 575 rabbits and 425 chickens

(2) m - number of Mike's stamps, a - number of Andrew's stamps.

Set up equations:

m = 4a\\m-8 = 2(a+8)\\\\4a-8=2a + 16\\2a = 24\implies a = 12\implies m = 48\\

Answer:  Mike has 48 stamps. Andrew has 12 stamps.

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8. The endpoints of ST are s(-3, 2) and t(5,8). Find the coordinates of the midpoint of ST. Then find ST. OA midpoint: (1,5); ST
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Answer:

The mid point of ST is (1,5) and ST = 10 units

Step-by-step explanation:

It is given that,

S(-3,2) and T(5,8). We need to find the coordinates of the midpoint of ST and also ST.

Let (x,y) be the mid point of ST. Using mid-point formula we get :

(x,y)=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})

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So,

(x,y)=(\dfrac{-3+5}{2},\dfrac{2+8}{2})\\\\(x,y)=(1,5)

(1,5) is the midpoint of ST.

Using distance formula to find ST as follows :

ST=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\ST=\sqrt{(5-(-3))^2+(8-2)^2} \\\\ST=10\ \text{units}

Hence, the mid point of ST is (1,5) and ST = 10 units.

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What is 0.572x1000?
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