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Alenkasestr [34]
2 years ago
10

On Monday, 224 students went on a trip to the zoo. All 4 buses were filled and 8 students had to travel in cars. How many studen

ts were in each bus?
Mathematics
2 answers:
eduard2 years ago
7 0
54 students. You subtract 224 from 8 since 8 children had to travel in car
lisov135 [29]2 years ago
5 0

Answer:

54 students in each bus

Step-by-step explanation:

224 - 8 / 4 = 54

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Batman (mass=100 kg) jumps straight down from a bridge in to a boat (mass = 580 kg) in which a criminal is fleeing. The velocity
Crank

Answer:

v_b=11.94\ m/s

Step-by-step explanation:

<u>Linear Momentum </u>

The momentum of a system of masses m1,m2,m3... with speeds v1,v2,v3,... is given by

M=m_1v_1+m_2v_2+m_3v_3+...

When some interactions take place into the system of masses with no external forces interferring, the total momentum is not changed, which means that if the new speeds are v1', v2', v3'... then:

m_1v_1+m_2v_2+m_3v_3+...=m_1v_1'+m_2v_2'+m_3v_3'+...

The problem relates the story of Batman (m1=100kg) who is initially assumed at rest and lands on a boat with mass m2=580 kg initially moving at 14 m/s to the positive reference. When the collision takes place, both masses join and a common speed v_b is achieved by the common mass. Applying the conservation of momentum, we have

m_1v_1+m_2v_2=(m_1+m_2)v_b

Since v_1=0

m_2v_2=(m_1+m_2)v_b

Solving for v_b

\displaystyle v_b=\frac{m_2v_2}{m_1+m_2}

\displaystyle v_b=\frac{(580)(14)}{100+580}

\boxed{v_b=11.94\ m/s}

7 0
3 years ago
What is the greatest common factor of 84 and 62? A. 21 B. 7 C. 24 D. 2
Ket [755]
The answer is D.
Hopefully this helps! :)
8 0
2 years ago
The volume of a right circular cone varies jointly as the altitude and the square of the radius of the base. If the volume of th
Tresset [83]

Answer:13.5 inches

Step-by-step explanation:

Here, the volume of a right circular cone varies jointly as the altitude and the square of the radius of the base

So our equation for volume becomes

V = c*h*r^2

where 'h' is altitude and 'r' is radius of base and 'c' is constant

Putting the value of V,h,r,

we get,

154 = c*12*3.5*3.5

c = 22/21

Now we have volume = 77 cu and radius of the base =7/3, so putting the values we get,

77 = 22/21*h*7/3*7/3

or, h= 13.5

Hope it helps!!!

6 0
3 years ago
Read 2 more answers
8th grade math equation of the line in slope intercept form what would a graph look like if a line that contains the point 4,-6
Lynna [10]

slope = m = 3/4

Point(4, -6)

Line equation in slope intercept form: y = mx + b

In this case we know m = 3/4, so we have to find "b" using the point coordinates:

y = (3/4)x + b

-6 = (3/4)4 + b

-6 = 3 + b

b = -6 -3 = -9

b = -9

Line equation: y = (3/4)x - 9

Answer:

y = (3/4)x - 9

6 0
1 year ago
Can someone please help me with this? Thank you.<br>Solve for x.
insens350 [35]

Answer:

X=1

Step-by-step explanation:

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hope this help hope this helpsplease mark me brainiestplease mark me brainiest

5 0
2 years ago
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