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mixas84 [53]
3 years ago
8

Find the center, vertices, and foci for the ellipse 4x2 + 25y2 = 100.

Mathematics
1 answer:
navik [9.2K]3 years ago
6 0

Answer: C

Step-by-step explanation:

Center: (0,0)

Vertices: (+/-5,0)

Foci: (+/-4.6,0)

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In ten-pin bowling, the highest possible score in a single game is 300.
Natali [406]

Answer:

a) Is it possible for Fred to accomplish this? Yes

b) If it is possible, what score does he need in his next game? 293

Step-by-step explanation:

Step 1

Let us represent the number of games Fred bowled to get an average of 177 = X

His total points scored in that game would be

177 × X

= 177X

To achieve an average of 178 for his next game,

The total number of points he scored was 199, hence that is represented as:

178 = 177X + 199/ X + 1

178(X + 1) = 177X + 199

178X + 178 = 177X + 199

178X - 177X = 199 - 178

X = 21

Hence, Fred bowled 21 games to achieve an average of 178

Therefore, the score he needs to have on the 23rd game is obtained as:

= (23 × 183) - (22 × 178) = 4209 - 3916 = 293

Therefore, it is possible for Fred to raise his average from 178 to 183 in a single game, but he must bowl 293 in his next game to do this.

5 0
3 years ago
If 15% of the total ticket sales is $375 what is the value of the total ticket sales
bixtya [17]
15% = 15/100 = 0,15

<span>total ticket sales = </span>$375 : 0.15 = $2,500
5 0
3 years ago
use the order of operations to simplify this expression. exspress your answer in the simplest form. 1/4 + 1/2 ÷ 2/8​
elixir [45]

Answer:

9/4

Step-by-step explanation:

This is quite simple you do 1/2 divided by 2/8 which will become multiplication. Then its that number plus 1/4

you get a answer of

9/4 in fraction form

2.25 in decimal form

2 1/4 in mixed fraction form

7 0
2 years ago
Solve for m<br> 2/3=m/42
almond37 [142]
\frac{2}{3}=\frac{m}{42}\ \ \ \ | multiply\ by\ 42\\\\ \frac{2*42}{3}=m\\\\&#10;28=m\\\\Solution\ is\ m=28.
4 0
3 years ago
Write the equation of a line in the given form.
Gnom [1K]

Answer:

y = \frac{1}{4}x - 5

Step-by-step explanation:

Slope intercept form: y = mx + b

Find slope:

m = (y₂ - y₁) / (x₂ - x₁)

   = (-5 - (-4)) / (0 - 4)

   = -1 / -4

   = 1/4

Find y intercept using anyone of the given points and slope from above:

y = mx + b

-5 = \frac{1}{4}(0) + b

b = -5

Now use the above slope and y intercept to create equation of a line:

y = \frac{1}{4}x - 5

3 0
3 years ago
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