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3 years ago

5 Given volume of rectangular prism is 432 m. h 12 m 4 m Find height?

Mathematics

1 answer:

Tamiku [17]3 years ago

4 0

Answer:

Step-by-step explanation:

volume = length x width x height so

432 / 12 / 4 = 9

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The cost of a company picnic varies directly as the number of employees attending the picnic. If a company picnic costs $487.50

Drupady [299]

The company picnic cost $ 1300 for 80 employees

Solution:

Given that cost of a company picnic varies directly as the number of employees attending the picnic

Let "c" be the company picnic cost

Let "n" be the number of employees attending the picnic

Therefore,

$cost \propto \text{ number of employees attending picnic }$

$c \propto n\\\\c = kn$

Where "k" is the constant of proportionality

c = kn ---------- eqn 1

Given that company picnic costs $487.50 for 30 employees

Therefore substitute c = 487.50 and n = 30

$487.50 = k(30)\\\\k = \frac{487.50}{30} = 16.25$

How much does a company picnic cost for 80 employees?

Substitute n = 80 and k = 16.25 in eqn 1

$c = 16.25(80) = 1300$

Thus $ 1300 is the cost for 80 employees

5 0

3 years ago

At the beginning of its route, a garbage truck accelerates at 10ms2 as it is driven down the road. By the end of the route, the

Dmitry [639]

Answer:

$2.5\ m/s^2$

Step-by-step explanation:

Newton's Second Law: Force on a body is equal to the product of mass and acceleration of the centre of the mass of the body.

$Force(F)=Mass(m)\times Acceleration(a)$

Initially:

$Let\ mass=m\ kg\\\\acceleration=10\ m/s^2\\\\Force(F)=m\times 10=10m$

At the end of the road:

$Let\ mass=4\times m\ kg\\\\acceleration=a\ m/s^2\\\\Force(F)=4m\times a=4ma$

$Both\ forces\ are\ equal\\\\4ma=10m\\\\divide\ both\ the\ sides\ by\ m\\\\4a=10\\\\a=\frac{10}{4}\\\\a=2.5\ m/s^2$

8 0

3 years ago

20 POINTS! Please help

Marysya12 [62]

The complete square will be $(x-3)^{2}$ = 3

Step-by-step explanation:

Given,

$2x^{2} -12x+12=0$

or, $x^{2} -6x+6=0$ [ by eliminating 2 from both the sides]

To make it square

$x^{2} -6x+6=0$

or, $x^{2} -2xX3+9-9+6=0$ [ $(a+b)^{2}=a^{2} +2ab+b^{2}$

or, $(x-3)^{2}$ = 9-6

or, $(x-3)^{2}$ = 3

Hence the correct option is B

3 0

4 years ago

What is translation for math

kolezko [41]

Where you take a word problem and turn it into an equation

5 0

3 years ago

Read 2 more answers

Help please I’ll give brainleiest :)

Paladinen [302]

Answer:

1 hour would be 10 $ each

Step-by-step explanation:

1)$10

2)$50

3)$80

I hope this helps

4 0

3 years ago