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Alina [70]
3 years ago
5

Find the greatest common factor of 12b^2 and 15b^3

Mathematics
2 answers:
Mrrafil [7]3 years ago
7 0

Answer:

3b^2

Step-by-step explanation:

12b^2=3 b^2 *4

15b^3=3*5*b^2*b

the greatest common factor is 3b^2

vlabodo [156]3 years ago
7 0

Answer:

3b^2.

Step-by-step explanation:

The GCF of 12 and 15 is 3, and

the GCF of b^2 and b^3 is b^2.

Answer is 3b^2.

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The box which measures 70cm X 36cm X 12cm is to be covered by a canvas. How many meters of canvas of width 80cm would be require
grigory [225]

Answer:

142.2 meters.  

Step-by-step explanation:

We have been given that a box measures 70 cm X 36 cm X 12 cm is to be covered by a canvas.      

Let us find total surface area of box using surface area formula of cuboid.

\text{Total surface area of cuboid}=2(lb+bh+hl), where,

l = Length of cuboid,

b = Breadth of cuboid,

w = Width of cuboid.

\text{Total surface area of box}=2(70\cdot36+36\cdot 12+12\cdot 70)

\text{Total surface area of box}=2(2520+432+840)

\text{Total surface area of box}=2(3792)

\text{Total surface area of box}=7584

Therefore, the total surface area of box will be 7584 square cm.  

To find the length of canvas that will cover 150 boxes, we will divide total surface area of 150 such boxes by width of canvass as total surface area of canvas will also be the same.

\text{Width of canvas* Length of canvass}=\text{Total surface area of 150 boxes}

80\text{ cm}\times\text{ Length of canvass}=150\times 7584\text{cm}^2

\text{ Length of canvass}=\frac{150\times 7584\text{ cm}^2}{80\text{ cm}}

\text{ Length of canvass}=\frac{1137600\text{ cm}^2}{80\text{ cm}}

\text{ Length of canvass}=14220\text{ cm}

Let us convert the length of canvas into meters by dividing 14220 by 100 as 1 meter equals to 100 cm.

\text{ Length of canvass}=\frac{14220\text{ cm}}{100\frac{cm}{m}}

\text{ Length of canvass}=\frac{14220\text{ cm}}{100\frac{cm}{m}}

\text{ Length of canvass}=\frac{14220\text{ cm}}{100}\times\frac{m}{cm}

\text{ Length of canvass}=142.20\text{ m}

Therefore, 142.2 meters of canvas of width 80 cm required to cover 150 such boxes.

5 0
3 years ago
(-5,3),(0,0) what would the equation be 3/5
andrew-mc [135]
3/-5 would be the ANSEWER to your question hope I could help
3 0
3 years ago
Brandon has 32 stamps. He wants to display the stamps in rows, with the same number of stamps in each row. How many different wa
aniked [119]
Find all the factors of 32, as they come in pairs.
The pairs will give you how many rows you can have, as well as the number of stamps in each row.
1x32 would be 1 row, 32 stamps each
2x16 would be 2 rows, 16 stamps each.
4x8 would be 4 rows, 8 stamps each.
Once you reach the point that it flips around, you can count up all those ways as well.
8x4 is 8 rows with 4 stamps each
16x2 is 16 rows with 2 stamps each
32x1 is 32 rows with 1 stamp each
The total number of factor pairs is 6, meaning he can display the stamps in 6 different ways that follow his want of having the same number of stamps in each row.
8 0
3 years ago
Read 2 more answers
Deanna Jones opened a video rental store this year with 400 tapes. She plans to buy 150 new tapes each year from now on. Deanna
PtichkaEL [24]
She will have exactly 1300 because 150x6 is 900 and 400+900 is exactly 1300
8 0
3 years ago
What is X? I thought it would be 10 but it's not.
Gnoma [55]

Answer:

9/4 = 15/x

Multiply by x on both sides

9/4x = 15

Divide by 9/4

x = 60/9 or 6.6 repeated

7 0
3 years ago
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