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rjkz [21]
2 years ago
11

Maya's chocolate bar is 29% cocoa. If the weight of the chocolate bar is 67 grams, how many grams of cocoa does it contain? Roun

d your answer to the nearest tenth.​
Mathematics
1 answer:
nika2105 [10]2 years ago
8 0

Answer:

20

Step-by-step explanation:

x/67=29/100

29x67=1943

1943/100=

19.43

Round:

20

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The probability that one of each color is selected is \frac{10x - x^2}{45}

<h3>Probabilities</h3>

The probability of an event is the chances of the said event

The given parameters are:

  • Total  = 10
  • Red = x
  • Blue = 10 - x

<h3>Calculating the required probability</h3>

The probability that one of each color is selected is calculated as follows:

P = P(Blue) \times P(Red) + P(Red) \times P(Blue)

So, we have:

P = \frac{10 - x}{10} \times \frac{x}{9} + \frac{x}{10} \times \frac{10 - x}{9}

This gives

P = \frac{x(10 - x)}{90} +\frac{x(10 - x)}{90}

Take LCM

P = \frac{2x(10 - x)}{90}

Simplify the above expression

P = \frac{x(10 - x)}{45}

Expand

P = \frac{10x - x^2}{45}

Hence, the probability that one of each color is selected is P = \frac{10x - x^2}{45}

Read more about probabilities at:

brainly.com/question/7965468

4 0
3 years ago
A glass pitcher holds 6 1/3 cups of pineapple juice. Tracy transfers the juice in equal amounts into 3 bottles. How many cups of
horrorfan [7]
6 1/3 divided by 3
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Lostsunrise [7]
Jayne will need to drive 40 mph on the way back.
4 0
3 years ago
Find the arc length, x, when
Arte-miy333 [17]

The arc length of the circle is 5π/9 units

<h3>How to determine the arc length?</h3>

From the question, we have the following parameters

Angle, ∅ = 5π/9

Radius, r = 1 unit

The arc length (x) is calculated as

x = r∅

Substitute the known values in the above equation

x = 5π/9 * 1

Evaluate the product

x = 5π/9

Hence, the arc length of the circle is 5π/9 units

Read more about arc lengths at:

brainly.com/question/2005046

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2 years ago
For the circle with equation (x-2)^2+(y+3)^2=9, answer each question. a) whats coords of the center? b) what are the radius and
MrRissso [65]

Answer:

<h2>a) center (2, -3)</h2><h2>b) radius r = 3</h2><h2>c) in the attachment</h2>

Step-by-step explanation:

The standard form of an equation of a circle:

(x-h)^2+(y-k)^2=r^2

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r - radius

We have:

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a) center (2, -3)

b) radius r = 3

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