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Andreas93 [3]
3 years ago
9

Georgia out found that 2 out of 25 apples had bruiseson them. based on this information, how many apples out of 100 would be exp

ected to have bruises on them?
Mathematics
1 answer:
TEA [102]3 years ago
6 0
We just need to extrapolate the information we have about 25 apples to 100, that is we need to find a number that multiplied by gives us 100, from this original fraction, hence, we have:
2 out of 25 = 2/25
if we multiply and divide a number or fraction by the same number we do not alter its value, so we need to convert the 25 into 100, and that can be done multiplying it by 4, like so:
(2/25)(4/4) = (2*4)/(25*4) = 8/100

So if we have 2 bruised apples out of 25, then we can expect to have 8 bruised apples out of 100
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Express this number in scientific notation.<br> 31 billion
Nadusha1986 [10]

Answer:

3.1 * 10^10

Step-by-step explanation:

4 0
2 years ago
VIIIe in the standard (x,y) coordmate pralit nas
Savatey [412]

The coordinates of point B are (-4 , -2) ⇒ answer H

Step-by-step explanation:

In any circle

  • The diameter of the circle passing through its center
  • The center of the circle is the mid-point of all diameters

If (x , y) are the coordinates of the mid-point of a line whose end

points are (x_{1},y_{1}) and (x_{2},y_{2}) , then

x=\frac{x_{1}+x_{2}}{2} and y=\frac{y_{1}+y_{2}}{2}

∵ Point C is the center of a circle

∵ AB is the diameter of the circle

∴ C is the mid point of AB

∵ A = (2 , 6) ⇒ (x_{1},y_{1})

∵ B = (x_{2},y_{2})

∵ C = (-1 , 2) ⇒ (x , y)

- Use the rule of the mid-point above

∵ -1=\frac{2+x_{2}}{2}

- Multiply both sides by 2

∴ -2 = 2 + x_{2}

- Subtract 2 from both sides

∴ x_{2} = -4

∴ The x-coordinate of point B is -4

∵ 2=\frac{6+y_{2}}{2}

- Multiply both sides by 2

∴ 4 = 6 + y_{2}

- Subtract 6 from both sides

∴ y_{2} = -2

∴ The y-coordinate of point B is -2

The coordinates of point B are (-4 , -2)

Learn more:

You can learn more about the circle in brainly.com/question/9510228

#LearnwithBrainly

7 0
2 years ago
You download 12 news songs to your phone. Then you delete 5 old songs.Write each amount as an integer.
Gennadij [26K]
Hey there! :D

When you have a value, it is usually positive.

For example, if I have 5 chocolate bars, then I have +5 chocolate bars. 

When you take away a value, it is usually negative.

For example, I have 3 chocolate bars away, then I would have 3 fewer chocolate bars. (-3) 

Integers are negative or positive whole numbers.

12 songs= 12 <== the integer

Delete 5 old songs= -5 <=== the integer

I hope this helps!
~kaikers
8 0
3 years ago
Read 2 more answers
Please Please Please help with this math problem
katovenus [111]
  1. The revenue as a function of x is equal to -x²/20 + 920x.
  2. The profit as a function of x is equal to -x²/20 + 840x - 6000.
  3. The value of x which maximizes profit is 8,400 and the maximum profit is $3,522,000.
  4. The price to be charged to maximize profit is $500.

<h3>How to express the revenue as a function of x?</h3>

Based on the information provided, the cost function, C(x) is given by 80x + 6000 while the demand function, P(x) is given by -1/20(x) + 920.

Mathematically, the revenue can be calculated by using the following expression:

R(x) = x × P(x)

Revenue, R(x) = x(-1/20(x) + 920)

Revenue, R(x) = x(-x/20 + 920)

Revenue, R(x) = -x²/20 + 920x.

Expressing the profit as a function of x, we have:

Profit = Revenue - Cost

P(x) = R(x) - C(x)

P(x) = -x²/20 + 920x - (80x + 6000)

P(x) = -x²/20 + 840x - 6000.

For the value of x which maximizes profit, we would differentiate the profit function with respect to x:

P(x) = -x²/20 + 840x - 6000

P'(x) = -x/10 + 840

x/10 = 840

x = 840 × 10

x = 8,400.

For the maximum profit, we have:

P(x) = -x²/20 + 840x - 6000

P(8400) = -(8400)²/20 + 840(8400) - 6000

P(8400) = -3,528,000 + 7,056,000 - 6000

P(8400) = $3,522,000.

Lastly, we would calculate the price to be charged in order to maximize profit is given by:

P(x) = -1/20(x) + 920

P(x) = -1/20(8400) + 920

P(x) = -420 + 920

P(x) = $500.

Read more on maximized profit here: brainly.com/question/13800671

#SPJ1

3 0
1 year ago
*Mastery Check. DO NOT ask for help. Find the area of the sector. Round your answer to the nearest tenth.
Juliette [100K]

The area of the sector is 472.6 ft²

<h3>Area of a Sector</h3>

For finding the area of the sector, you need apply the formula:

A=\pi r^2* \frac{\alpha }{360}, where:

r= radius

α= central angle

The question gives:

r= radius= 19 ft

α= central angle = 150°

Thus, the area of the sector will be:

A=\pi r^2* \frac{\alpha }{360}=\pi *19^2*\frac{150}{360} =472.6

Read more about the area of a sector here:

brainly.com/question/22972014

#SPJ1

3 0
2 years ago
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