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Sunny_sXe [5.5K]
3 years ago
8

Each student in Mr. Farmers class took 42 tests this school year. Mr. Farmer has 8 students in his class.

Mathematics
2 answers:
Contact [7]3 years ago
3 0

The answer is D.I hope I got it right.

zubka84 [21]3 years ago
3 0

Answer:

D

Step-by-step explanation:

D) (40 × 8) + (2 × 8) and 42 + 42 + 42 + 42 + 42 + 42 + 42 + 42

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A car travels 20 mph slower in a bad rain storm than in sunny weather. the car travels the same distance in 2 hrs in sunny weath
ycow [4]
You can create two equations.

"<span>A car travels 20 mph slower in a bad rain storm than in sunny weather."
</span>
\sf x-20=y

Where 'x' represents speed in sunny weather and 'y' represents speed in rainy weather.

"<span>The car travels the same distance in 2 hrs in sunny weather as it does in 3 hrs in rainy weather."

\sf 2x=3y

</span>Where 'x' represents speed in sunny weather and 'y' represents speed in rainy weather.

We want to find the speed of the car in sunny weather, or 'x'. Plug in the value for 'y' in the first equation into the second equation.

\sf \boxed{\sf x-20}=y
\sf 2x=3y\rightarrow2x=3(x-20)

Distribute:

\sf 2x=3x-60

Subtract 3x to both sides:

\sf -x=-60

Divide -1 to both sides:

\sf x=60

So the car goes 60 mph in sunny weather.
5 0
3 years ago
Question
Jobisdone [24]

Answer:

The light bulb will reach the ground 1.25 seconds after it is dropped.

Step-by-step explanation:

We know that for an object that is in the air, the only force acting on it will be the gravitational force (where we are ignoring the air resistance)

Then the acceleration of the object is the gravitational acceleration, 32.17 ft/s^2

Then the acceleration of the light bulb is:

A(t) = (-32.17 ft/s^2)

Where the negative sign is because the acceleration is downwards.

Now, to get the velocity equation, we need to integrate the acceleration over time, we will get:

V(t) = (-32.17 ft/s^2)*t + V0

Where V0 is the initial velocity of the light bulb. Because it is dropped, the initial velocity will be zero, then V0 = 0m/s, then the velocity equation is:

V(t) =  (-32.17 ft/s^2)*t

Finally, to get the position equation we need to integrate again, we will get:

P(t) = (1/2)*(-32.17 ft/s^2)*t^2 + P0

Where P0 is the initial height of the object, and in this case, we know that it is equal to 25 ft.

Then the position equation is:

P(t) = (1/2)*(-32.17 ft/s^2)*t^2 + 25ft

The object will hit the ground when P(t) = 0 ft, then we need to solve that equation for t:

P(t) =  (1/2)*(-32.17 ft/s^2)*t^2 + 25ft = 0 ft

          25 ft =  (1/2)*(32.17 ft/s^2)*t^2

         2*25ft = (32.17 ft/s^2)*t^2

           50ft =  (32.17 ft/s^2)*t^2

         √( 50ft/(32.17 ft/s^2)) = t = 1.25 s

The light bulb will reach the ground 1.25 seconds after it is dropped.

8 0
3 years ago
I need help with 8th grade math please hurry and correct answer please 40 points
scoundrel [369]

Answer:

2664.3

Step-by-step explanation:

The volume of a sphere is

V = 4/3 πr³

Multiply the radius (which is the diameter divided by 2), 8.6 by itself 3 times, and them multiply it by pi and 4/3 to achieve a volume of 2664.31 or aproximatley 2664.3.

8 0
2 years ago
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Use the information to answer the following question.
Zanzabum

Answer:

C

Step-by-step explanation:

Since the difference between 0 and -10 is 10, this means that the difference between the diving board and the pool also has to be 10. Therefore, the diving board is 10 feet above the water since 0+10 is 10.

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3 years ago
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Which net represents this triangular prism?
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Hanap ka nalang sa google vhie d ko den alam eh
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