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QveST [7]
3 years ago
6

Divide the fractions. 9/2 divided by 4/10

Mathematics
2 answers:
mario62 [17]3 years ago
7 0

Answer:

11 1/4

Step-by-step explanation:

9/2/4/10

9/2/2/5

9/2*5/2

45/4

11 1/4

DENIUS [597]3 years ago
5 0

<u>Final Answer:</u>

45/4

<u>Step-by-step explanation:</u>

9/2 ÷ 4/10

  • 9/2 ÷ 10/4
  • 9/2 × 10/4 = 90/8

90/8 ⇒ 45/4

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A cereal company is exploring new cylinder-shaped containers. Two possible containers are shown in the diagram.x is 6 and r=4.5
KatRina [158]

Answer:

Container \rm X will have less label area than container \rm Y by about 9\; \rm in.

Step-by-step explanation:

A rectangular sheet of paper can be rolled into a cylinder. Conversely, the lateral surface of a cylinder can be unrolled into a rectangle- without changing the area of that surface.

Indeed, the width of that rectangle will be the same as the height of the cylinder. On the other hand, the length of that rectangle should be exactly equal to the circumference of the circles on the top and the bottom of the cylinder. In other words, if a cylinder has a height of h and a radius of r at the top and the bottom, then its lateral surface can be unrolled into a rectangle of width h and length 2\,\pi\, r.

Apply this reasoning to both cylinder \mathrm{X} and \rm Y:

For cylinder \mathrm{X}, h = 6\; \rm in while r = 4.5\; \rm in. Therefore, when the lateral side of this cylinder is unrolled:

  • The width of the rectangle will be 6\; \rm in, while
  • The length of the rectangle will be 2 \, \pi \times 4.5\; \rm in = 9\, \pi\; \rm in.

That corresponds to a lateral surface area of 54\, \pi\; \rm in^2.

For cylinder \rm Y, h = 10.5\; \rm in while r = 3\; \rm in. Similarly, when the lateral side of this cylinder is unrolled:

  • The width of the rectangle will be 10.5\; \rm in, while
  • The length of the rectangle will be 2\pi\times 3\; \rm in = 6\,\pi \; \rm in.

That corresponds to a lateral surface area of 63\,\pi \; \rm in^2.

Therefore, the lateral surface area of cylinder \rm X is smaller than that of cylinder \rm Y by 9\,\pi\; \rm in^2.

5 0
3 years ago
Tonya is twice kevins age
weqwewe [10]
Can you please complete your question

7 0
4 years ago
Solve the system using the substituion method<br> -4x+y=8<br> x-3y=9
lions [1.4K]
Hi there!

x - 3y = 9
x = 9 + 3y
 
-4x + y = 8
-4(9+3y) + y = 8
-36 - 12y + y = 8
-36 - 11y = 8
-11y = 44
-y = 4
y = -4

x - 3y = 9
x - 3(-4) = 9
x + 12 = 9
x = 21

So, your answers are y = -4 and x = 21.

Hope this helps!
3 0
3 years ago
Carter's mom has ¼ of a pan of brownies leftover. If Carter and two of his friends share the leftover brownies equally, what fra
antoniya [11.8K]

Answer:

x/12

Step-by-step explanation:

1/4 of a pan of brownies leftover.

=1/4 of x

=1/4*x

=x/4

If Carter and two of his friends shares the leftover=3 people

Each friend will get

x/4÷3

=x/4×1/3

=x/12

3 0
3 years ago
Given h()<br> - 4x - 4, solve for a when h(x)<br> -8.
Ilia_Sergeevich [38]

Answer:

28

Step-by-step explanation:

this is a function

if h(x) is -8 you would plug it in for x:

-4(-8) -4 a negative × a negative is a positive

32- 4= 28

7 0
3 years ago
Read 2 more answers
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