Find the value of x and y. y=2x and 1.85x+3.7y=12.95

Mathematics

1 answer:

Len [333]2 years ago

3 0

Answer:

x=1.4 y=2.8

Step-by-step explanation:

Lets substitute y with 2x. We get: 1.85x+7.4x=12.95.

Simplifying by combining x: 9.25x=12.95

Then you just divide 12.95 by 9.25: x=1.4

Now for y. We know why is 2x so we just have to multiply x by 2: y=2x, y=2.8.

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The part of a cylindrical soup can that is covered by the label is 8.5 cm tall and has a diameter of 6.5 cm. What is the area of

julia-pushkina [17]

Answer:

$180.4~cm^2$

Step-by-step explanation:

<u>Surface Area</u>

The surface area of a cylinder of height h and radius r is given by:

$A=2\pi rh$

It only covers the lateral side of the cylinder. If both the top and the bottom sides are to be included, then:

$A=2\pi rh+2\pi r^2$

The label will cover only the lateral side of the soup can that has a height of h=8.5 cm and a diameter of 6.5 cm. We need to calculate the radius which is half of the diameter r=6.5 cm / 2 = 3.25 cm.

Now we calculate the side area of the can:

$A=2\pi (3.25)(8.5)$

$A=173.6~cm^2$

We need to add the 0.8 cm overlap to the total area already calculated. This overlap has 0.8 cm of width and 8.5 cm of height, so this overlap area is:

$A_o= 0.8*8.5=6.8~cm^2$