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3 years ago

112 students are going on a field trip. If each bus can take 50 students, how many busses are needed?

Mathematics

2 answers:

MrRissso [65]3 years ago

8 0

Answer:

3 buses are needed.

Step-by-step explanation:

If there are only 2 buses, it would be full, but there would still be 12 students without a bus. To take all students, you'd need 3 buses. 2 buses will be full, and the other bus would only have 12 students.

oee [108]3 years ago

8 0

Answer:3 buses

Step-by-step explanation:

Because 50+50 is 100 which is two buses

But there are 12 students left so you need 1 more buses

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Please solve the following system of equations <br> x+3y=8 <br> 2x-y=2

Anuta_ua [19.1K]

Answer:

(2,2)

Step-by-step explanation:

Given equations are

x+3y=8 eq(1)

2x-y=2 eq(2)

we'll solve the system of equation by substitution.

Adding -3y to both sides of eq(1),we get

x+3y-3y=8-3y

x+0=8-3y

x=8-3y eq(3)

Put above value of x in eq(2),we get

2(8-3y)-y=2

16-6y-y=2

16-7y=2

Adding -16 to both sides of above equation,we get

-16+16-7y=-16+2

0-7y=-14

-7y=-14

Dividing by -7 to both sides of above equation,we get

-7y/-7=-14/-7

y=2

Putting y=2 in eq(3),we get

x=8-3(2)

x=8-6

x=2

hence, the solution for this system of equations is (2,2).

5 0

3 years ago

F(x)=x^2. What is g(x)?

Trava [24]

Answer:

=8v9g(x)

Step-by-step explanation:

6 0

3 years ago

34. A vessel is in the the form of a hemispherical bowl mounted by a hollow cylinder The diameter

Nostrana [21]

Answer:

$V=20.85\ m^3$

Step-by-step explanation:

Given that,

The vessel is in the the form of a hemispherical bowl mounted by a hollow cylinder.

The diameter of the sphere is 3.5 m.

The height of the cylinder is 2 m

Height of the cylinder = Height of bowl− Radius of hemisphere

= 2 - (3.5/2)

= 0.25 m

The volume of the vessel is given by :

V = volume of hemispherical bowl + volume of cylinder

So,

$V=\dfrac{2}{3}\pi r^3+\pi r^2 h\\\\V=\dfrac{2}{3}\times \dfrac{22}{7}\times (\dfrac{3.5}{2})^3+\dfrac{22}{7}\times (3.5)^2\times 0.25\\\\V=20.85\ m^3$