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3 years ago

3. Find BD in the following diagram. BD=

Mathematics

1 answer:

masya89 [10]3 years ago

6 0

Answer: BD = 28

<u>Step-by-step explanation:</u>

BC = 21, CD = 7 Given

BC + CD + BD Segment Addition Postulate

21 + 7 = BD Substitution

28 = BD Add Like Terms

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16. How many liters of a 60% alcohol solution must be added to 60 liters of a 30% alcohol

Nezavi [6.7K]

Step-by-step explanation:

Step 1: Question statement and Inferences

Let x liters of the 60% solution be added.

So, amount of Alcohol in this solution = 60% of x = 0.6x L

Now, let us consider the 40% solution.

The total volume of this solution is 50 L

So, amount of Alcohol in this solution = 40% of 50

Step 2: Finding required values

When x L of 60% solution are mixed with 50 L of the 40% solution, the total volume of the resultant solution will be (50+x) L

By the Law of Conservation of Mass,

Amount of alcohol in the input solutions = Amount of alcohol in the final solution

=> Amount of alcohol in the final solution = 20 + 0.6x

So, concentration of Alcohol in the final solution

Step 3: Calculating the final answer

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3 years ago

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Miyuki can type 135 words in 3 minuets how many words can she expect to type in 8 minuets

katen-ka-za [31]

Answer is 360.....
135/3 = 45
45 * 8 = 360

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3 years ago

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A teacher randomly selects 10 out of her 30 students and finds that the mean height of those 10 students is 5′2". Is this a samp

vesna_86 [32]

Answer:

Sample mean

Symbol: $\frac{}{x}$

Step-by-step explanation:

Given

$Population = 30$

$Sample = 10$

$Mean\ of\ the\ selected\ 10 = 5'2"$

Solving (a): Is it sample mean or population mean

From the question, we understand that 10 were selected from a total of 30.

And the mean of the selected 10 is 5'2"

The selected 10 is referred to as sample and the mean of the 10 is the sample mean

Solving (b): Symbol to use.

The symbol for sample mean is: $\frac{}{x}$

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3 years ago

The sum of 5 consecutive integers is 505.<br>What is the third number in this sequence?

sweet-ann [11.9K]

Answer:

n (1)

n+1 (2)

n+2 (3)

n+3 (4)

n+4 (5th number)

Step-by-step explanation:

5n + 10 equals 505

505 -10 = 495 (like terms)

5n=495

n = 99

3rd number equals n plus 2

99 plus 2

101

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4 years ago

Help me again please

grandymaker [24]

Answer:

D. y = 375x

Step-by-step explanation:

Looking at the table, we can see that for every 1 can of paint, the area painted increase by 375 square feet. 375 represents our slope. If there were 0 cans of paint, then there would be no area painted, which means that the y-intercept would be 0. The only equation that represents those two values is D.

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3 years ago