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Pachacha [2.7K]
3 years ago
10

John earns $180 for landscaping 3 yards how much will he was for landscaping 8 yards

Mathematics
2 answers:
Zolol [24]3 years ago
3 0

Hi!

We will solve this using ratios, like this:

$180 for landscaping 3 yards

$x for landscaping 8 yards

___________________________

x = (180*8)/3

x = 1440/3

x = 480

He would earn $480 for landscaping 8 yards.

Hope this helps!

agasfer [191]3 years ago
3 0

Answer:if he landscapes 3 yards for $180 and then he landscapes 8 yards then he will get $366 for all of the yards combined


Step-by-step explanation:

                             x  6

180                   3|---------

180                         180

+------                       18

360                          00

hope this helps

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Among all pairs of numbers whose difference is 20, find a pair whose product is as small as possible. what is the minimum produc
Elza [17]

Answer:

-100

-10, 10

Step-by-step explanation:

Let the smaller number be x.

Then the larger number is x + 20.

The product is x(x + 20).

Now you can write the function

y = x(x + 20)

y = x^2 + 20x

Take the first derivative of y with respect to x.

y' = 2x + 20

Set the first derivative equal to zero to find the x value for the minimum value of the function.

2x + 20 = 0

2x = -20

x = -10

The minimum value of the function occurs at x = -10. -10 is one of the two numbers.

y = x^2 + 20x

For x = -10,

y = (-10)^2 + 20(-10)

y = 100 - 200

y = -100

The minimum value of the product is -100.

x = -10

x + 20 = -10 + 20 = 10

The numbers are -10 and 10.

If you have not learned derivatives yet, then plot the function

y = x^2 + 20x

Now look at the graph and find the minimum y value and the x value at which it occurs.

The minimum y value is -100. That is the minimum product you are looking for.

The x value of the minimum function value is x = -10.

Then x + 20 = -10 + 20 = 10.

The numbers are -10 and 10.

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Write an equation of the line that passes me that passes through (2,-5) and is parrallel to the line 2y=3x+10
Otrada [13]

Step-by-step explanation:

parallel means same slope/gradient

2y = 3x + 10

y = 1.5x + 5

let equation be y = 1.5x + b

sub (2, -5)

-5 = 1.5(2) + b

b = -8

therefore y = 1.5x - 8

Topic: Coordinate Geometry

If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!

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