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3 years ago

If 3 students averaged 68 on a test and 4 students averaged 75, what is the average of all 7 students

Mathematics

2 answers:

Andreas93 [3]3 years ago

8 0

Answer: 3 students

68 68 68

4 students

75 75 75 75

Answer: 71.5

insens350 [35]3 years ago

5 0

Answer:13

Step-by-step explanation:

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devlian [24]

Answer: They are inverses of each other

============================================================

Explanation:

We need to check two things:

f(g(x)) = x
g(f(x)) = x

If both of those equations are true, then f and g are inverses of each other.

----------------

Part 1

$f(x) = -3x-12\\\\f(g(x)) = -3( g(x) )-12\\\\f(g(x)) = -3\left( \frac{-12-x}{3} \right)-12\\\\f(g(x)) = 12+x-12\\\\f(g(x)) = x\\\\$

So far, so good. Now we need to check the other equation mentioned.

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Part 2

$g(x) = \frac{-12-x}{3}\\\\g(f(x)) = \frac{-12-( f(x) )}{3}\\\\g(f(x)) = \frac{-12-( -3x-12 )}{3}\\\\g(f(x)) = \frac{-12+3x+12}{3}\\\\g(f(x)) = \frac{3x}{3}\\\\g(f(x)) = x\\\\$

That works out as well. Both equations mentioned are true, which confirms the two original functions are inverses of one another.

3 0

2 years ago

If a car goes from 60 miles per hour to 10 miles per hour in 5 seconds, find its acceleration. Enter your answer as a whole numb

denis-greek [22]

Answer:

$a=-4.47\ m/s^2$

Step-by-step explanation:

Given that,

Initial speed of a car, u = 60 mph = 26.82 m/s

Final speed of a car, v = 10 mph = 4.47 m/s

Time, t = 5 s

We need to find the acceleration of the car. The rate of change of velocity is called the acceleration of an object. It can be given by :

$a=\dfrac{v-u}{t}\\\\a=\dfrac{4.47 -26.82 }{5}\\\\a=-4.47\ m/s^2$

So, the acceleration of the car is $4.47\ m/s^2$ and it is deaccelerating.

8 0

2 years ago

Can i please have help?

sp2606 [1]

Use Photomath it works well

7 0

2 years ago

The city is planning to add a fish pond to a neighborhood park. the figure below is a scale drawing of the fish pond. its scale

timurjin [86]

Well the formula for area is A=LxW where L=length and W=width

so A=2.5(1) but this in inches so convert to feet

half inch=15 ft so 2.5 inches= $\frac{2.5}{2}$ (15)=5(15)=75 ft

half inch=15 ft so 1 inch=2(15)=30ft

Now we can rewrite our area equation: A=(75ft)(30ft)=2250 ft²

4 0

3 years ago

Could someone please help me.

scoray [572]

Answer: Your answer is "9.5 f.t"

Step-by-step explanation:

5 0

2 years ago