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2 years ago

Which term can be added to the list so that the greatest common factor of the three terms is 12h3?

Mathematics

2 answers:

andreyandreev [35.5K]2 years ago

7 0

Answer:

the correct option is d or the 4th option

Step-by-step explanation:

ioda2 years ago

3 0

The term that can be added to the list so the GCF is 12h3 would be 48h5.

The reason being is that 48 is first divisible by 12 and does not yield a fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.

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A movie theater was putting up their posters in the frames they had installed on the wall for upcoming attractions. They have 8

Serjik [45]

Answer:

1680

Step-by-step explanation:

Since there are 4 places (frames) to put up each poster, we think individually:

In the first place they can place ANY OF THE 8 POSTERS

In 2nd place, they can place ANY OF THE REMAINING 7 POSTERS

In 3rd place, they can place ANY OF THE REMAINING 6 posters

and

in last place, they can place ANY OF THE REMAINING 5 posters

The number of ways is the multiplication of them all, so:

8 * 7 * 6 * 5 ways = 1680 ways

7 0

2 years ago

Read 2 more answers

It takes a ship 4 hours to cover 420 km with the current and 6 hours against the current. Find the speed of the ship in still wa

KiRa [710]

Let s be the speed of the ship, and c be the speed of the current.

We know that distance equals speed multiplied by the time.

With the current
$\left(s+c\right)\left(4\:hours\right)=420\:km$
or
$s+c=105$
This is our first equation.

Now, against the current, we have
$\left(s-c\right)\left(6\right)=420$
or
$s-c=70$
This is our second equation.

We solve the equations simultaneously, by adding them together
$2s-0c=175$

$s=87.5\:km/hr$

Substitute s=87.5 to the first equation to solve for c.
$87.5+c=105$

$c=17.5\:km/hr$

The speed of the ship is 87.5 km/hr and the speed of the current is 17.5 km/hr.

3 0

2 years ago

Alex can ski 960 meters in 5 minutes. If his skiing speed is increased by 20 m/min, how many meters can he cover in 10 minutes?

pychu [463]

First let's find out how much he can ski per minute without his increase in speed.
To find speed we will have to divide distance by time.
960÷5=232
So his speed is 232 meters per second.
Now to this as add 20.
232+20=252
Then to find out how far he will go in 10 minutes,we will just have to multiply 252 by 10
252×10=2520
So your answer will be that Alex will go 2520 meters in 10 minutes.

3 0

2 years ago

Read 2 more answers

In Jana's closet she has 5 pairs of black shoes and 11 pairs of leather shoes. Two of her pairs of shoes are both black and leat

Delvig [45]

Answer:

Step-by-step explanation:

I'm not sure about the 2nd one, though I think it is D, BUT DON"T TAKE MY WORD ON IT! On the first one the answer is C, add 5 + 11, then because 2 pairs are black and leather, subtract 2 from both sides.

8 0

2 years ago

Read 2 more answers

A. [4 marks]

storchak [24]

The value of d is -2

Step-by-step explanation:

The nth term of the arithmetic sequence is $u_{n}=u_{1}+(n-1)d$ , where