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topjm [15]
3 years ago
10

A pharmacist is filling small empty bottles with cough syrup from a larger bottle. He can solve the inequality to find the numbe

r of small bottles, x, that can be filled from the larger bottle and still have 250 milliliters left in the larger bottle. Which statement describes the number of small bottles the pharmacist can fill?
Mathematics
1 answer:
andrey2020 [161]3 years ago
7 0

Let us assume capacity of large bottle = 1000 ml.

And capacity of each small bottle = 25 ml.

Reaming milliliters in large bottle = 250 milliliters.

Number of bottles = x bottles.

Total capacity of large bottle - capacity of a small bottle × number of bottles > Reamining milliliters in large bottle.

Therefore, we can setup an inequality.

1000 - 25 × x > 250.

1000 -25x >250.


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PLZ HELP THIS IS TIMED!!!!
mihalych1998 [28]

Answer:

For the sequence is -\frac{2}{3} ,-4 ,-24 ,-144 ,...

Hence the formula f(x)=-\frac{2}{3}(6)^{x-1} for x=1,2,3,... represents the given geometric sequence

Step-by-step explanation:

Given sequence is -\frac{2}{3} ,-4 ,-24 ,-144 ,...

To find the formula to describe the given sequence :

Let a_1=\frac{-2}{3} ,a_2=-4 ,a_3=-24,...

First find the common ratio

r=\frac{a_2}{a_1} here  a_1=\frac{-2}{3} and,a_2=-4

=\frac{-4}{\frac{-2}{3}}

=\frac{4\times 3}{2}

=\frac{12}{2}

r=6

r=\frac{a_3}{a_2} here  a_2=-4 and a_3=-24

=\frac{-24}{-4}

=6

r=6

Therefore the common ratio is 6

Therefore the given sequence is geometric sequence

The nth term of the geometric sequence is

a_n=a_1r^{n-1}

The formula which describes the given geometric sequence is

f(x)=a_1r^{x-1} for x=1,2,3,...

=\frac{-2}{3}6^{x-1} for x=1,2,3,...

Now verify that f(x)=a_1r^{x-1} for x=1,2,3,... represents the given geometric sequence or not

put x=1 and the value of a_1 in f(x)=a_1r^{x-1} for x=1,2,3,...

we get f(1)=-\frac{2}{3}(6)^{1-1}

=-\frac{2}{3}(6)^0

=-\frac{2}{3}

Therefore f(1)=-\frac{2}{3}

put x=2 we get f(2)=-\frac{2}{3}(6)^{2-1}

=-\frac{2}{3}(6)^1

=-\frac{12}{3}

Therefore f(2)=-4

put x=3 we get f(3)=-\frac{2}{3}(6)^{3-1}

=-\frac{2}{3}(6)^2

=-\frac{2(36)}{3}

Therefore f(3)=-24

Therefore the sequence is f(1),f(2),f(3),...

Therefore  the sequence is -\frac{2}{3} ,-4 ,-24 ,-144 ,...

Hence the formula f(x)=a_1r^{x-1} for x=1,2,3,... represents the given geometric sequence is verified

Therefore the formula f(x)=-\frac{2}{3}(6)^{x-1} for x=1,2,3,... represents the given geometric sequence

7 0
4 years ago
Read 2 more answers
Sheila walked 7.7 km to the library.
KATRIN_1 [288]

Answer:

Sheila walked 6 Miles.

Step-by-step explanation:

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3 years ago
Suppose that you are taking a T/F exam and you have no idea at all about the answers to the last three questions. You choose ans
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Answer:

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Step-by-step explanation:

given that you are taking a T/F exam and you have no idea at all about the answers to the last three questions.

Probability for correct guess = 0.5 remains constant for each of the three questions

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1) the probability that you guessed right on exactly one of the three questions

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2) the probability that you guessed right on zero of the three questions

= P(X=0)\\= 0.5^3=0.125

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Answer:

3.444444888888, 3,85 or 3,845

Step-by-step explanation:

This is the simplest form you could do it, the question is not preciouse

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Which of the following points lie in the solution set to the following system of inequalities? (1 point)
schepotkina [342]
We have that
<span>y < −3x + 3
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