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s344n2d4d5 [400]
3 years ago
11

5. Mrs. Parker is providing lunch at her next staff meeting. She will pay $15.75 for 3 people

Mathematics
1 answer:
serg [7]3 years ago
6 0
Answer = $210

3/15.75 = 40/x
3x = 15.75 (40)
3x =630
x=210
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Precalc.
viktelen [127]
Domain: x>0.

(\log_2x)^2+7\log_2x+12=0

Substitute t=\log_2x\in\mathbb{R}. We have:

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t_1=\dfrac{-b-\sqrt{\Delta}}{2a}=\dfrac{-7-1}{2}=\dfrac{-8}{2}=-4\\\\\\
t_2=\dfrac{-b+\sqrt{\Delta}}{2a}=\dfrac{-7+1}{2}=\dfrac{-6}{2}=-3

For t₁ there will be:

\log_2x=t_1\\\\\log_2x=-4\\\\2^{-4}=x\\\\x=\dfrac{1}{2^4}\\\\\\x=\dfrac{1}{16}=0,0625\\\\\\\boxed{x\approx0,063}

and for t₂:

\log_2x=t_2\\\\\log_2x=-3\\\\2^{-3}=x\\\\x=\dfrac{1}{2^3}\\\\\\x=\dfrac{1}{8}\\\\\\\boxed{x=0,125}

Answer d)


6 0
3 years ago
A factory produces 90 packages of mixed nuts in 1 min. A quality control manager selected 10 of these 90 packages at random and
valentina_108 [34]
Answer:

34

explanation:

First of all, put the numbers in order

30, 31, 31, 32, 33, 35, 35, 35, 36, 36

Then, find the middle number.
In this case, there is an even amount of numbers so, we have to pick the 2 middle numbers which is 33 and 35.

Now all you have to do is add these two numbers together then divide by 2 which will give you 34.

or, in simpler questions like this one, you can just say 34 as you know it is between 33 and 35.


In other questions, it might have and odd amount of numbers, for example:

3, 3, 5, 8, 10

so all you would do here is pick the middle number which would be 5. (it has 2 numbers on each side of it)
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Solve for x in the equation x2 - 8x+41 - 0
Liula [17]

Answer:

x= 4+5i

Step-by-step explanation:

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Given: Ray BC bisects angle ABD.
natita [175]

Congruent is the same size and same shape. When a ray bisects an angle, the two newly created angles will be congruent, since the ray went right in the middle of the first angle (so in this case, ABC and DBC will be congruent)

4 0
3 years ago
Read 2 more answers
the boat in calm water is 30 km / h. How far can tourists travel by boat if they have to return after 2 hours to the place from
xeze [42]

Answer:

60km

Step-by-step explanation:

They travel 30km in the first hour, then turn back and travel the same 30km backwards.

7 0
3 years ago
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