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3 years ago

8

Ben is paid £15 per hour. If he works for more than 7 hours in a day, he is paid overtime for the additional hours at a rate of

1.5 times his normal rate of pay. Yesterday, Ben worked for 10 hours. How much money did he earn?

1 answer:

stepladder [879]3 years ago

7 0

Answer:

£172.50

Step-by-step explanation:

Sorry if it's wrong I'm not exactly a maths genius but: 7x15=£105+15x1.5x3=£172.50

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Assume the least squares equation is ŷ = 10 + 20x. what does the value of 10 in the equation indicate? when x = 0, y = 10. x inc

leva [86]

We know that

in the equation <span>ŷ = 10 + 20x
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3 years ago

Which polynomial correctly combines the like term and express the given polynomial in standard form

ankoles [38]

Answer:

$8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3 = -6m^6 - mn^5 - 5m^3n^3 + 14m^2n^4 + 8mn^5 + n^6$

Step-by-step explanation:

Given

$8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3$

Required

Correctly combine the like terms

We have:

$8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3$

Collect like terms (in decreasing degrees of m)

$- 2m^6 - 4m^6 - mn^5- m^3n^3 - 4m^3n^3+ 5m^2n^4 + 9m^2n^4 + 8mn^5 + n^6$

$-6m^6 - mn^5 - 5m^3n^3 + 14m^2n^4 + 8mn^5 + n^6$

So:

$8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3 = -6m^6 - mn^5 - 5m^3n^3 + 14m^2n^4 + 8mn^5 + n^6$

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3 years ago

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o-na [289]

<h3>The height of the tree is 55 feet</h3>

<em><u>Solution:</u></em>

Let,

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Shadow of tree = 40 feet

Height of man = 5.5 feet

shadow of man = 4 feet

Set up a proportion comparing the height of each object to the length of the shadow.

$\frac{\text{ Height of tree}}{\text{ Shadow of tree }} = \frac{\text{ Height of man}}{\text{ shadow of man }}$

Therefore,

$\frac{x}{40} = \frac{5.5}{4}\\\\x = 5.5 \times 10\\\\x = 55$

Thus height of the tree is 55 feet

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