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tatyana61 [14]
3 years ago
10

The sum of 33 consecutive even numbers is 7878. What is the second number in this sequence?

Mathematics
1 answer:
kondaur [170]3 years ago
7 0
78 ÷3 =26

26 is the answer
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Carly purchased 9 and 1/2 pints of ice cream for a party. If each guest will be served exactly 3/5 pints of ice cream. What is t
aksik [14]

Answer: The greatest amount of guest you can serve is 15

Step-by-step explanation: .60=3/5      .60 x 15 = 9       If you do another 3/5 it will be over how much icecream she has

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3 years ago
Write the equation of the ellipse with center (4,2), vertex (9,2), and focus (4+2sqrt5,2)
dangina [55]

Answer : option B

Given: center (4,2), vertex (9,2), and focus (4+2sqrt5,2)

The distance between vertex and center is 9-4 = 5

Center is (h,k) so h= 4  and k =2

focus is (h+c,k)

From the given focus (4+2sqrt5,2), c= 2sqrt(5)

Standard form of equation is

\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2}=1

h= 4, k=2, a=5, c=2sqrt(5), we need to find out b

c^2 = a^2 - b^2

b^2 = a^2 - c^2

b^2 = 5^2 - (2\sqrt{5})^2

b^2 = 25 - 20

b^2 = 5

plug in all the values

\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2}=1

\frac{(x-4)^2}{25} + \frac{(y-2)^2}{5}=1

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7 0
3 years ago
QUESTION 1
podryga [215]

Answer: The team won 47 games.

Step-by-step explanation: The total games played was 84, and that means all games added together, but victories and losses. If the games they lost is called X, and the team won 10 more games than it lost, then it means the games they won is X + 10.

To find the value of wins and losses, we can now express both properly as;

X + (X +10) = 84

2X + 10 = 84

Subtract 10 from both sides of the equation

2X = 74

Divide both sides of the equation by 2

X = 37.

If the number of games won is X + 10, then games won is derived as

Wins = X + 10

Wins = 37 + 10

Wins = 47

The team won 47 games

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