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Aleks04 [339]
3 years ago
15

A bag contains 7 red, 4 blue, and 6 white marbles.

Mathematics
1 answer:
Leno4ka [110]3 years ago
4 0

Answer:

28/289

Step-by-step explanation:

7 red, 4 blue, and 6 white  = 17 marbles

P ( red ) = number of red / total

             = 7/17

Replace the marble

7 red, 4 blue, and 6 white  = 17 marbles

P ( blue ) = number of blue / total

             = 4/17

P (red, replace, blue) = 7/17* 4/17

                                    =28/289

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Please help:) with my math it’s Quadratic Functions
vaieri [72.5K]

Answer:

Part A: 2531.25; It means the maximum amount of profit that can be obtained at a specific amount of price reduction (x-value) for the shirts' market price.

Part B:  (0,2500); It represents the profit that can be made by reducing $0 in the shirts' price.

Part C: Yes, it has a zero. Its zero is (25,0) and that represents the amount of profit made by reducing $25 from the price of each shirt being sold, which means if it sells for $0 by reducing $25 from the price of each shirt, then the x-coordinate must also represent the original price of each shirt, $25.

Step-by-step explanation:

Part A: Look at the graph! The highest y-value should be the maximum of each graph, which can be located at the vertex of a quadratic function. In this graph, the vertex is (2.5, 2531.25), where which its y-value contains the highest point of a graph, since the graph is concave down.  

<u>Part B</u>

y=a(x-2.5)^{2} +2531.25\\

0=a(25-2.5)^{2} +2531.25\\

a(22.5)^{2} =-2531.25

506.25a =2531.25

a=-5

y=-5(x-2.5) ^{2}+2531.25

y=-5(0-2.5)^{2} +2531.25

y=-31.25+2531.25

y=2500

y-intercept: (0,2500)

<u>Part C</u>

The graph only has a zero if the function touches the x-axis, also known as the line, y=0. In this case the graph does intersect the x-axis at the point, (25,0). Therefore, it has a zero, and the value of the x coordinate at the zero is 25. This value represents the profit generated from reducing the price of each shirt by $25, which is $0. Therefore, this also represents the original price of each shirt without any price reduction, since there is no profit made by completely reducing the price of each shirt at that specific point in the graph, which is 25 or $25. Therefore, this displays that.

4 0
3 years ago
A bottle of soft drink is two thirds full. Jack drinks one quarter of the remaining soft drink. How full is the bottle now
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We know that the bottle of soft drink has a remaining volume which is 2 / 3 of the original.

Since Jack drank 1 / 4 of the remaining volume, hence only 3 / 4 now finally remains, the total is:

 

(2 / 3) * (3 / 4) = 6 / 12 = 1 / 2

 

<span>Hence the bottle is now one half full</span>

8 0
3 years ago
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Answer: 8 units

Step-by-step explanation:

Set this up as an equation with a variable for turtles. Count up the other side of the scale (without turtles). Add up the three 1s and the 4 to get 7. Then add up all four 7s. This will get you with an equation 3t+4=28.

To solve this, first subtract 4 from both sides to get 3t=24. Now divide both sides by 3. 24/3=8. Each turtle weighs 8 units.

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Mr. Waller owns a company that manufactures decorative statues. The revenue earned, in thousands of dollars, by the company each
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Step-by-step explanation:

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Simplify the expression.
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Decimal Form:
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…
Mixed Number Form:
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