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3 years ago

Write an expression that is equivalent to the expression 4n-n+0.5n-2n

Mathematics

1 answer:

FinnZ [79.3K]3 years ago

4 0

Answer:

1.5n

Step-by-step explanation:

The distributive property can be used to simplify expressions like this (collect terms).

= n(4 -1 +.5 -2)

= n(3 +.5 -2)

= n(3.5 -2)

= n(1.5)

= 1.5n

_____

Of course, you can do the addition in any convenient way. Some like to add all the positive and negative terms, then find the difference.

= n((4 +.5) -(1 +2)) = n(4.5 -3) = 1.5n

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Answer:

2nd option: n + 5n = 42

Step-by-step explanation:

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3 years ago

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Answer:

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Pizza Paradise offers 4 types of crust, 10 toppings, and 8 kinds of cheese for the mega calzone. How many different mega calzone

Bumek [7]

Answer:

26880 ways

Step-by-step explanation:

Given

$Crust = 4$

$Toppings = 10$

$Cheese = 8$

Required

Determine the number of ways 3 toppings and 3 cheese can be selected

The number of crusts to be selected was not stated. So, I'll assume 1 crust to be selected from 4.

This can be done in $^4C_1$ ways

For the toppings:

3 can be selected from 10 in $^{10}C_3$ ways

For the cheeses:

3 can be selected from 8 in $^{8}C_3$ ways

Total number of selection is:

$Total = ^4C_1 * ^{10}C_3 * ^{8}C_3$

Apply combination formula:

$Total = \frac{4!}{(4-1)!1!} * \frac{10!}{(10-3)!3!} * \frac{8!}{(8-3)!3!}$

$Total = \frac{4!}{3!1!} * \frac{10!}{7!3!} * \frac{8!}{5!3!}$

$Total = \frac{4*3!}{3!*1} * \frac{10*9*8*7!}{7!*3*2*1} * \frac{8*7*6*5!}{5!*3*2*1}$

$Total = \frac{4}{1} * \frac{10*9*8}{3*2*1} * \frac{8*7*6}{3*2*1}$

$Total = 4 * \frac{720}{6} * \frac{336}{6}$

$Total = 4 * 120* 56$

$Total = 26880$

<em>Hence, there are 26880 ways</em>

5 0

3 years ago

5.80*10^9s + 3.2*10^8s

Bezzdna [24]

193.93524
That’s what I got

8 0

4 years ago

A set of pulleys is used to lift a piano with a mass of 102 kg. The piano is lifted 3 meters in 1 minutes. How much power is use

agasfer [191]

Answer:

50.031 watts

Step-by-step explanation:

Formula

Power = Force * distance / time

The units are critical

distance = meters

time = seconds

force = newtons = kg * m / s^2

Solution

F = m * a

a = 9.81

m = 102 kg

F = 102 * 9.81 = 1000.62 Newtons

T = minute = 60 sec/min * 1 min

T = 60 seconds

d = 3 meters

Power = 1000.62 * 3 / 60

Power = 50.031

3 0

3 years ago