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Georgia [21]
3 years ago
5

Directions:Use the product rule to simplify the following monomials.

Mathematics
1 answer:
nadezda [96]3 years ago
6 0

Answer: -12m^3n^3

Step-by-step explanation:

\frac{1}{4}\left(8mn\right)\left(-6m^2n^2\right)

=-\frac{1}{4}\cdot \:8mn\cdot \:6m^2n^2

=-\frac{1}{4}\cdot \:48mnm^2n^2

=-\frac{1}{4}\cdot \:48m^3nn^2

-\frac{1}{4}\cdot \:48m^3n^3

=-12m^3n^3

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Factorise fully 4x-x³​
lianna [129]

Answer:

x(2 - x)(2 + x)

8 0
3 years ago
Ninety six passengers rode a train. Tickets for regular coach seats are $114. Tickets for sleeper car seats are $295. The receip
MrRa [10]
C = amount of folks buying coach tickets
s = amount fo folks buying sleeper car tickets

we know the train had a total of 96 passengers, so, whatever "c" and "s" are
c + s = 96

we know all tickets sold for all 96 passengers was 19994, so, if "c" folks rode coach, each ticket is 114, thus 114*c is  how much money was from couch, or 114c

if "s" folks rode the sleeper car, we know each ticket is 295 each, so 295*s is how much money was from the sleeper car

we also know, the total for all tickets is 19994

thus    114c + 295s = 19994

thus   \bf \begin{cases}
c+s=96\implies \boxed{s}=96-c\\
114c+295s = 19994\\
----------\\
114c+295\left( \boxed{96-c} \right)=19994
\end{cases}

solve for "s", to see how many folks rode coach

what about the sleeper car? well, s = 96 - c
5 0
3 years ago
Solve (-16.1)•9.4•(-7.2)=x•(-7.2)•(-16.1)
Fed [463]

Hey there! :)

Answer: x = 9.4

Step-by-step explanation : How do we know this? Well, let's first rewrite our question.

(-16.1) · 9.4 · (-7.2) = x · (-7.2) · (-16.1)

Let's multiply everything out.

(-16.1 · 9.4 · -7.2) = (x · -7.2 · -16.1)

Simplify.

1089.648 = 115.92x

Our goal is to isolate x, so we should divide both sides by 115.921089.648 ÷ 115.92 = 115.92x ÷ 115.92

Simplify.

9.4 = x

So, our final answer is x = 9.4

~hope I helped!~

8 0
4 years ago
How much time will it take a car travelling at 88 km/hr (55 mi/hr) to travel 500km? Show work for credit and include final units
Sergio039 [100]

Answer:

Step-by-step explanation:

speed = 88 km/hr

distance = 500 km

time = distance / speed = 500/88= 125/22 hours

3 0
4 years ago
A circular plate has a crack along the line AB, as shown below: A circular plate is shown. The center of the plate is labeled as
makkiz [27]
Well, since point A represents the center, and B represents a point on the outer line of the circle, segment AB would represent the radius, since the radius represents the length from the center to the outside of a circle

Hope this helps
8 0
4 years ago
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