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3 years ago

The volume of 10,000 drops of a liquid is 1 fluid ounce. What is the volume of 100 drops?

Mathematics

1 answer:

Fiesta28 [93]3 years ago

8 0

I believe the answer would be .100 fluid ounces

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Please help me. I don’t understand

laiz [17]

Answer:

Therefore the Equation and missing value is

$\dfrac{3}{4}=\dfrac{1}{6}+x$ .............Equation for the Diagram

$x=\dfrac{7}{12}$

Step-by-step explanation:

Given:

Let Label the Diagram such that

$AB =\dfrac{1}{6}$

$BC =c$

$AC =\dfrac{3}{4}$

To Find:

Equation =?

x = ?

Solution:

Here Total Length is given in Two Parts

$one\ part =\dfrac{1}{6}$

$Second\ part =x$

$Total =\dfrac{3}{4}$

For a Line A-B-C

$AC =AB+BC$ ..............Line Addition Property

Substituting the values we get

$\dfrac{3}{4}=\dfrac{1}{6}+x$ ...Equation for the Diagram

$x = \dfrac{3}{4}-\dfrac{1}{6}\\\\x=\dfrac{18-4}{4\times 6}\\\\x=\dfrac{14}{24}\\\\x=\dfrac{7}{12}$

Therefore the Equation and missing value is

$\dfrac{3}{4}=\dfrac{1}{6}+x$ ...Equation for the Diagram

$x=\dfrac{7}{12}$

3 0

3 years ago

Determine how many terms of the following convergent series must be summed to be sure that the remainder is less than 10 Supersc

algol13

Answer:

You need to sum at least 5000 terms

Step-by-step explanation:

Remember what the estimation theorem for alternating series says.

Given a series

$s = \sum\limits_{n=0}^{\infty} (-1)^n a_n$

An upper bound for the error of the series $R_n$ is $a_{n+1}$ so

$R_n = |s-s_n| \leq a_{n+1}$

For this case you want

$\frac{1}{2n+1} \leq \frac{1}{10^4}\\10^4 \leq 2n+1\\(10^4-1 )/2 \leq n$

$(10^4-1 )/2$ is approximately 5000. So you must sum at least 5000 terms.

5 0

3 years ago

60=-5(x-6)<br> Please answer this with how you got the answer.

gizmo_the_mogwai [7]

Answer:

x = -6

Step-by-step explanation:

» <u>Solution</u>

Step 1: Distribute -5 to the terms inside the parantheses.

$(-5)(x)+(-5)(-6)=60$
$-5x+30=60$

Step 2: Subtract 30 from both sides.

$-5x+30-30=60-30$
$-5x=30$

Step 3: Divide both sides by -5.

$-5x/-5=30/-5$
$x=-6$

Therefore, x = -6.

5 0

2 years ago

Find the sum of 8/10 + 7/10 ?

Annette [7]

15/10 reduces to 1 1/2

5 0

3 years ago

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The volume of a fish tank is 50 cubic feet. If the density is 0.5fish over feet cubed, how many fish are in the tank?

Leni [432]

There would be 25 fish in the tank because Density = Mass over Volume.

8 0

3 years ago

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