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Nimfa-mama [501]
3 years ago
14

The teachers’ edition of a statistics textbook sells for $150, and students’ edition of the book sell for $50 each. which functi

on can be used to find the average cost per book if two teachers’ editions and x students’ editions are purchased?
a. f(x)= 150 50x over 1 x
b. f(x)= 150 50x over 2 x
c. f(x)= 300 50x over 1 x
d. f(x)= 300 50x over 2 x
Mathematics
2 answers:
natima [27]3 years ago
4 0
Its d) f(x)= 300+50x/2+x..............................................................................
Juliette [100K]3 years ago
4 0

Answer:

d

Step-by-step explanation:

Lets have a look at what is given:

Teachers edition of statistics textbook sells for $150

Students edition of statistics textbook sells for $50.

Two teachers and x student books are purchased.

Let f(x) = the average cost per book

Therefore the amount of the teachers textbook cost 2*$150 = $300

and the students texbook costs x*$50= $50x

The average cost per book is:

f(x) = (300+50x)/(x+2)

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A circle has a circumference of 28.26 units. What is the diameter of the circle?
Karolina [17]

Answer:

The diameter of the circle is 9.

Step-by-step explanation:

Because circumference is equal to \pi * d, we can backtrack and use this equation to find diameter. Let's say \pi is equal to 3.14.

28.26 = 3.14d

Divide both sides by 3.14.

9 = d


The diameter of the circle is 9.


6 0
3 years ago
During a scuba dive, Lainey descended to a point 19 feet below the ocean surface. She continued her descent at a rate of 25 feet
Leno4ka [110]

Answer:

25t+19\leq 144

t\leq5

The number of minutes she can continue to descend if she does not want to reach a point more than 144 feet below the ocean surface is <u>at most 5 minutes.</u>

Step-by-step explanation:

Given:

Initial depth of the scuba dive = 19 ft

Rate of descent = 25 ft/min

Maximum depth to be reached = 144 ft

Now, after 't' minutes, the depth reached by the scuba dive is equal to the sum of the initial depth and the depth covered in 't' minutes moving at the given rate.

Framing in equation form, we get:

Total depth = Initial Depth + Rate of descent × Time

Total depth = 19+25t

Now, as per question, the total depth should not be more than 144 feet. So,

\textrm{Total depth}\leq 144\ ft\\\\19+25t\leq 144\\\\or\ 25t+19\leq 144

Solving the above inequality for time 't', we get:

25t+19\leq 144\\\\25t\leq 144-19\\\\25t\leq 125\\\\t\leq \frac{125}{25}\\\\t\leq 5\ min

Therefore, the number of minutes she can continue to descend if she does not want to reach a point more than 144 feet below the ocean surface is at most 5 minutes.

7 0
3 years ago
The larger of two numbers is four more than the smaller. if the larger is x what is the smaller?
Lelu [443]

Answer:

x-4

Step-by-step explanation:

Since the larger of two numbers is four more than the smaller one, this means that there is a difference of 4 between the two numbers. In order to find the smaller of both numbers, you can obtain the smaller from the largest by subtracting 4.

4 0
3 years ago
Find the length of side x in simplest radical form with rational denminator
just olya [345]

Answer:

As shown in picture, this is an isosceles right triangle ( A = 90 deg, B = C = 45 deg). => Except hypotenuse, side1 = side2, or x = \sqrt{6}

Hope this helps!

:)

4 0
2 years ago
When a = 6 and b = 22, C = 33. If c varies directly with b and inversely with a, which equation models the situation?
S_A_V [24]

Step-by-step explanation:

C=b/a

c=kb/a

where as k is the constant

c=kb/a

we substitute

33=22k/6

crossed multiply

33*6= 22k

198=22k

we divide both sides by 22

198/22=22k/22

K=9

4 0
2 years ago
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