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Irina18 [472]
3 years ago
9

What steps would you follow in order to solve the equation?

Mathematics
2 answers:
tatyana61 [14]3 years ago
7 0

Answer:

add 4 on each side and multiply by 8

Step-by-step explanation:

add 4 to undo the subtraction and multiply by 8 to undo the division

Snezhnost [94]3 years ago
5 0

To solve the equation, you need to isolate/get the variable "W" by itself in the equation:

\frac{W}{8}-4 =20    Add 4 on both sides

\frac{W}{8} =24     Then multiply 8 on both sides to get rid of the fraction and to get "W" by itself

(8)\frac{W}{8}=(8)24

W = 192

Your answer is the 3rd option

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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
How to finsd the set of numbers if the mean, median and mode is given
Bad White [126]

Answer:

a) we have the numbers 0, 2, 3, 5, 5. The mean and the median are both 3

b) we have the numbers 0, 0, 3, 5, 7. The mean and the median are both 3

In both cases the mean and the median are 3, but the mode differs. The mean and the median do not uniquely determine the mode.

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
A lifeguard on the shore in a chair that is 6 ft above the ground. She sees a swimmer at an angle of depression of 10°. About ho
melisa1 [442]

Answer:

  34 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between adjacent and opposite sides of a right triangle and the trig function of the associated angle. Here, the relevant relation is ...

  Tan = Opposite/Adjacent

  tan(10°) = (height of lifeguard)/(distance from shore)

Then the distance from shore is ...

  distance from shore = (height of lifeguard)/tan(10°) ≈ (6 ft)/(0.17633)

  distance from shore ≈ 34 ft

3 0
3 years ago
Rob has 11 pencils. Kelly has 5 pencils. Which number sentence shows how many many more pencils Rob has than Kelly?
tiny-mole [99]

Answer:

<u><em>C</em></u>

Step-by-step explanation:

<u><em>11 - 5 = 6</em></u>

Hope this helps

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3 years ago
Todd and his brother Robert are going to use 512 square feet of their backyard for skateboard ramps. The shape of the backyard i
Fiesta28 [93]

Answer:

The dimensions are 16 ft by 32 ft

The quadratic equation is W^{2}-256=0

Step-by-step explanation:

we know that

the area of rectangle is equal to

A=W*L

where

L is the length side of rectangle

W is the width side of rectangle

in this problem

we have

A=512\ ft^{2}

so

512=L*W -----> equation A

L=2W ------> equation B

substitute equation B in equation A

512=(2W)*W \\ 512=2W^{2} \\2W^{2}-512=0\\W^{2}-256=0

W=\sqrt{256}=16\ ft

Find the value of L

L=2W-----> L=2*16=32\ ft



7 0
3 years ago
Read 2 more answers
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