MATHEMATICS MIDDLE SCHOOL

The endpoints of one diameter of a circle are (9,3) and (-5,15). What is the center of the circle?

Answers

Answer 1

Answer:

Answer:

(2,9)

Step-by-step explanation:

X midpoint:9+(-5)/2 which gives 2

Y midpoint:3+15/2 which gives 9

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Some workers at a zoo built a new platform in the water for the seals. The perimieter of theplatform was 60 feet.Which could be the dimensions of the platform for the seals?
36 ft 24 ft
18 ft 12 ft
10 ft 6 ft
12 ft 5 ft

Answers

It would be 18 ft by 12 ft because P=L+L+W+W, which 18+18 is 36 and 12plus 12 is 24. 24 and 36 ft combined is 60 ft.

Giuseppi's Pizza had orders for $931.00 of pizzas. The prices were $21 for a large pizza, 514 for a medium pizza, and $7 for a small pizza. The number of large pizzas was two less than four times the number of medium pizzas. Thenumber of small pizzas was three more than three times the number of medium pizzas. How many of each size of pizza were ordered?

Answers

Answer:

Number of Large Pizzas: 30

Number of Medium Pizzas: 8

Number of Small Pizzas: 27

Step-by-step explanation:

L = # of large Pizzas

M = # of medium Pizzas

S = # of small Pizzas

Amount:

L = 4M - 2

S = 3M + 3

Cost:

21L + (I'm assuming you meant 14) 14M + 7S = 931

Plus in the Amounts to the Cost:

21(4M - 2) + 14M + 7(3M + 3) = 931

84M - 42 + 14M + 21M +21 = 931

Combine like terms:

119M - 21 = 931

Isolate the Variable:

119M - 21 + 21 = 931 + 21

119M = 952

119M/119 = 952/119

M = 8

Plug it into the Amount equations:

Large: L = 4(8) - 2

L = 32 - 2

L = 30

Small: S = 3M + 3

S = 3(8) + 3

S = 24 + 3

S = 27

Check your work (plug the values into Cost.):

21(30) + 14(8) + 7(27) = 931

630 + 112 + 189 = 931

931 = 931

Final answer:

The number of medium pizzas ordered was 10. Hence, based on the given relationships, the number of large pizzas was 38 and the number of small pizzas was 33.

Explanation:

To solve this problem, really, we are using three algebraic expressions that represent the total cost, the relationship between the large and medium pizzas, and the relationship between the small and medium pizzas.

We can define M as the number of medium pizzas, L as the number of large pizzas, and S as the number of small pizzas. We can then set up the following equations based on the problem: