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2 years ago

For every 5 hours that he works, Andrew is paid $60.20. How much is Andrew paid in dollars per hour?

Mathematics

2 answers:

Zinaida [17]2 years ago

5 0

60.2/5
$12.04
He is paid $12.04 every hour he works

masha68 [24]2 years ago

3 0

Andrew is paid $12.04 per hour.

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A closed cylindrical can of fixed volume V has radius r.a) Find the surface area, S, as a function of r.b) What happens to the v

andrey2020 [161]

Answer:

Step-by-step explanation:

This question is incomplete; here is the complete question.

A closed cylindrical can of fixed volume V has radius r. (a) Find the surface area, S, as a function of r. (b) What happens to the value of S approaches to infinity? (c) Sketch a graph of S against r, if V=10 cm³.

A closed cylindrical can of volume V is having radius r and height h.

a). Surface area of a cylinder is given by

S = 2(Area of the circular sides) + Lateral area of the can

S = 2πr² + 2πrh

S = 2πr(r + h)

b). Since surface area is directly proportional to radius of the can

S ∝ r

Therefore, when r approaches to infinity (r → ∞)

c). If V = 10 cm³ Then we have to graph S against r.

From the formula V = πr²h

10 = πr²h

h = $\frac{10}{\pi r^{2}}$

By placing the value of h in the formula of surface area,

S = $2\pi r(r+\frac{10}{\pi r^{2}})$

Now we can get the points to plot the graph,

r -2 -1 0 1 2

S -13.72 -13.72 0 26.28 35.13

7 0

2 years ago

This is pretty simple, but the wording gets me. Is choice B correct as well, I’m not really sure. Please help

Oliga [24]

I’m not 100% sure but i think ur answer rn is correct don’t check the second box

7 0

2 years ago

7 divided by 4 x + 3 Y + 4 divided / 4 x minus 3 Y is equal to 5 / 4

DerKrebs [107]

9514 1404 393

Answer:

(x, y) = (4, 4)

Step-by-step explanation:

If you attempt to solve this by clearing fractions, you end up with an extraneous solution. Here, we'll solve the linear equations ...

7a +4b = 5/4

8b -14a = 3/2

where a = 1/(4x+3y) and b = 1/(4x-3y)

Dividing the second equation by 2 and adding the first, we have ...

(7a +4b) +1/2(8b -14a) = (5/4) +1/2(3/2)

8b = 8/4

b = 1/4

Substituting into the first equation gives ...

7a +4/4 = 5/4

a = 1/28

Now, we can get back to solving for x and y.

4x +3y = 1/a = 28

4x -3y = 1/b = 4

8x = 32 . . . . . . . . . add the two equations

x = 4

3y = 28 -4x = 28 -4(4) = 12 . . . . . use x in the equation for 'a'; rearrange

y = 4 . . . . divide by 3

The solution to the system of equations is (x, y) = (4, 4).

_____

<em>Additional comment</em>

If you graph these equations, you find they describe hyperbolas that intersect at (0, 0) and (4, 4). The "solution" (0, 0) is extraneous, as both equations are undefined there.

7 0

2 years ago

Which expression represents the phase below? 8 less than the product of 6 and a number, x

faust18 [17]

The statement is "8 less than the product of 6 and a number, x." "Less than" indicates subtraction - you will subtract 8 from a number. That number is "the product of 6 and a number, x." "The product" of these numbers will result with multiplication - you are multiplying 6 and x.

All this gives you the expression: 6x - 8.

3 0

3 years ago

Help! Will mark the brainiest !!

Morgarella [4.7K]

Answer:

31.98% rounded to the nearest tenth is 32 percent. The 8 rounds up and 9 goes to zero.

Step-by-step explanation:

6 0

2 years ago

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