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3 years ago

There are 37 children in the classroom, each student will get 48 pencils.How many pencils will the teacher have to give out?

Mathematics

1 answer:

givi [52]3 years ago

6 0

Answer:

1,776

Step-by-step explanation:

1. There are 37 children in the classroom

2. Each student will get 48 pencils

3. The teacher wants to give 48 pencils evenly to 37 children

4. 48 x 37 = 1,776

A: The teacher will have to give out 1,776 pencils.

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A toy rocket is launched vertically from 5 feet above ground level with an initial velocity of 112 feet per second. The height h

Masja [62]

Answer:

Step-by-step explanation:

a)The height h after t seconds is given by the equation h(t)=-16t^2+112t+5.

Where 5 represents 5feet above the ground and this is the height from which the rocket was launched.

The equation is a quadratic equation. The plot of this equation on a graph would give a parabola whose vertex would be equal to the maximum height travelled by the rocket.

The vertex of the parabola is calculated as follows,

Vertex = -b/2a

From the equation,

a = -16

b = 112

Vertex = - - 112/32= 3.5

So the rocket will attain maximum height at 3.5 seconds.

It will also take 3.5 seconds to reach the ground. This means it will take a total of 3.5 seconds + 3.5 seconds

= 7 seconds to hit the ground.

b) to find time it will take to be 100 feet above the ground,

-16t^2+112t-95 = 0

Using general quadratic equation formula,

a = -16

b = 112

c = -95

t = [-b+/-√b^2-4ac]/2a

t = [ -112 +/-√112^2-4×-16×-95]/16 × -2

= [-112 +/-√12544-6080]/-32

= (-112+80.4)/-32 or (-112-80.4)/-32

t = 0.9875 or t = 6.0125

So it will take 0.9875 or approximately 1 second to be 100 feet above the ground

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3 years ago

An unknown fraction is between 0 and 1. Which is true about the equivalent percent and decimal?

horsena [70]

Its equivalent percent is less than 100% and its equivalent decimal is less than 0.99 or less.

For example, 1/2 is a fraction between 0 and 1. Its percentage is 50%, which is less than 100%. Its decimal is 0.50, which is less than 1 or 0.99

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Answer:

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Step-by-step explanation:

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