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Xelga [282]
2 years ago
14

The amount a gardener gets paid is directly proportional to the number of hours it takes for him to complete the job.

Mathematics
1 answer:
astraxan [27]2 years ago
8 0

Answer:

  £105

Step-by-step explanation:

The pay is proportional to the time, so working 18/12 = 3/2 times as long will gain the gardener 3/2 times the pay:

  3/2 × £70 = £105

He would get paid £105 for an 18-hour job.

__

Here are a couple of other solution methods.

<h3>as a proportion</h3>

  pay/hours = ?/(18 hours) = £70/(12 hours)

Multiplying by 18 hours, we get ...

  ? = £70×(18 hours)/(12 hours) = £70×(18/12)

  ? = £105 . . . . pay for 18 hours

He would get paid £105 for 18 hours.

__

<h3>as direct proportion equation</h3>

The equation for a directly proportional relationship is ...

  y = kx

If we let y represent pay and x represent hours, then we have ...

  70 = k(12)   ⇒   k = 70/12 = 35/6

Then for 18 hours, the pay is ...

  y = (35/6)x

  y = (35/6)(18) = 35(3) = 105

He would get paid £105 for 18 hours.

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PLEASE HELP ASAP
BaLLatris [955]

The value k needed for the transformation of f(x) to g(x) = f(k · x) is equal to 3.056.

<h3>How to find the find the dilation factor</h3>

In this problem we have the following relationship bewteen the two <em>quadratic</em> equations: g(x) = f(k · x), which means that for all y the following relationship between f(x) and g(x):

k = \frac{x_{g}}{x_{f}}

Let suppose that y = 3, then x_{f} = - 5.5 and x_{g} = - 1.8, then the value k is:

k = (- 5.5)/(- 1.8)

k = 3.056

The value k needed for the transformation of f(x) to g(x) = f(k · x) is equal to 3.056.

To learn more on transformations: brainly.com/question/11709244

#SPJ1

6 0
2 years ago
What is the unit distance, Rounded to the nearest hundredth, between the points (-5, 2) and (3, 7)?
Lostsunrise [7]

Answer:

Distance=9.43 units

Step-by-step explanation:

When you have two coordinates and you need to find the distance between them, you can use the distance formula.

D=sqrt(7-2)^2+(3-(-5))^2

D=sqrt(5^2+8^2)

D=sqrt(25+64)

D=sqrt89

D=9.43, rounded to the nearest hundredth.

Therefore, your distance would be 9.43 units.

I hope this helped! Have a good rest of your day~

3 0
3 years ago
Find the solution to the system of equations. Select all that apply
PolarNik [594]

Answer:

A. (1,0)

Step-by-step explanation:

When you're solving a system of equations algebraically, you're finding the point that exists on both functions. So, when you're finding the solution graphically, you just need to find the point where the two functions intersect. In this case, it's A. (1,0)

5 0
3 years ago
Here a subtraction problem that has been solved incorrectly what is the right way 74-25=59​
jek_recluse [69]

Answer:

74-25 is 49

Step-by-step explanation:

7 0
2 years ago
A rectangle has an area of 112 square yards. Its width is nine yards less than the length. Write an equation that models this pr
Troyanec [42]

Step-by-step explanation:

L = length

W = width

L = W + 9

A = 112 = LW = (W+9)W

So,

W2 + 9W = 112

W2 + 9W - 112 = 0

Factoring

(W-7)(W+16) = 0

W = 7, -16

We discard W = -16, since a measurement cannot be negative.

W = 7

And since L = W + 9, then L = 7 + 9 = 16

This is a 16x7 rectangle

4 0
3 years ago
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