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professor190 [17]
3 years ago
7

Please could someone help me understand this? thank you

Mathematics
1 answer:
Inessa05 [86]3 years ago
8 0

Answer:

here ..

length=6cm

breadth=4cm

height=5cm

<em>we </em><em>know</em><em> </em><em>that,</em>

Total Surface Area of Cuboid, (S )= 2 (lb + bh + lh)

=2(6*4+4*5+6*5)

=2(24+20+30)

=2*74

=148

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6x-2y=24<br> how do u solve for y
Tatiana [17]
It's <span>Diophantine equation. 
First, we need to found gcd(6,(-2)):</span>
6=2*3
(-2)=(-1)*2

So, gcd(6,-2)=2
Now, the question is. Can we dived c=24, by gcd(6,-2) and in the end get integer?
Yes we can.
\frac{24}{2} =12
So, we can solve it.

Now is the formula:
{\displaystyle {\begin{cases}x=x_{0}+n{\frac {b}{\gcd(a,\;b)}}\\y=y_{0}-n{\frac {a}{\gcd(a,\;b)}}\end{cases}}\quad n\in \mathbb {Z} .}

Second, we need the first pair (x0,y0) 
 if
x=0
then
y=(-12)

Third, we gonna use that formula:
{\displaystyle {\begin{cases}x=-n}\\y=-3(4+n)}\end{case}\quad n\in \mathbb {Z} .}
Congratulations! We solve it.


8 0
3 years ago
Read 2 more answers
How many ways can 6 people sit on a bench if 3 of them have to sit side by side
pickupchik [31]

Answer:

144 ways

Step-by-step explanation:

Let's think of the 3 persons sitting together as "one". So essentially we have 3 + "1" = "4" persons to arrange.

THey can be arranged in 4! ways, which is:

4! = 4 * 3 * 2 * 1 = 24 ways

Now, the 3 persons themselves can be arranged in 3! ways, which is:

3! = 3 * 2 * 1 = 6 ways

Total ways = 4! * 3! = 24 * 6 = 144 ways

4 0
3 years ago
A cube-shaped aquarium has edges that are 3 feet long and is filled with water that has a density of 62 lbs/ft3 Should the aquar
Sunny_sXe [5.5K]

Given:

There are given the edge of the cube-shaped aquarium has 3 feet.

Explanation:

To find the value, we need to use the volume of the cube formula:

So,

From the formula of volume:

V=a^3

Where

a represents the value of edge.

So,

Put the value of edge into the above formula:

Then,

\begin{gathered} V=a^3 \\ V=3^3 \\ V=27cube\text{ feet} \end{gathered}

Now,

The water has a density of 62 pounds per cube foot.

According to the question:

If the weight of 1 cubic foot of water is 62 pounds, then the weight of 27 cube feet water is:

62\times27=1674pound

Final answer:

Hence, the water weight of the full aquarium is 1674 pounds, and the table only susupports00 pounds. So the table cannot hold the aquarium.

And,

No, the density of water would not change.

6 0
1 year ago
Today i will walk 3 miles per hour to school, which is 1.5 miles away how many hours would this trip take
GaryK [48]

Answer: 30 minutes so 1/2 hour

Step-by-step explanation:

Because 3 miles = 1 hour

1.5 times 2 = 3

divide 2 on both sides

4 0
3 years ago
Read 2 more answers
When the product of 6 and the square of a number is increased by 5 times the number, the result is 4.
il63 [147K]

Let x be the unknown number. Its square is x^2. The product of 6 and the square of the number is 6x^2. Increase this by 5 and you get 6x^2+5.

If this has to equal 4, you have 6x^2+5=4

4 0
3 years ago
Read 2 more answers
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