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alex41 [277]
3 years ago
8

Jessica earns $8.50 per hour as her hourly wage. If Jessica works overtime(more than 40 hours), she gets paid 1.5 times her hour

ly wage for every hour over 40 hours.
Last week, Jessica worked 38 hours.

This week, Jessica worked 46 hours. What was Jessica's paycheck for each week?
Mathematics
1 answer:
Assoli18 [71]3 years ago
8 0

8.50 x 38 = 323 for the first week


46-40= 6

40 x 8.50 = 340

8.5 x 1.5 = 12.75

12.75 x 6 = 76.50

340 + 76.50 = 416.50 for the second week

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Valentin [98]
Hello : 
<span>X - y = 4...(1)
x + y = 8...(2)
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</span><span>The x-coordinate of the solution to the system shown is __6___.</span>
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2 years ago
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What is the coefficient of the x^5y^5- term in the biomial expansion of (2x-3y)^10
jasenka [17]

<u>Answer:</u>

 The coefficient of x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552

<u>Solution: </u>

The given expression is (2 x-3 y)^{10}

As per binomial theorem, we know,

(x+y)^{n}=\sum n C_{k} x^{n-k} y^{k}

Now here a = 2x, b = (- 3y) and n = 10 and k = 0,1,2,….10

Now x^{5}\times y^5 will be the 6 term where k =5

Now, \mathrm{T}_{6}=10 \mathrm{C}_{5} \times(2 \mathrm{x})^{(10-5)} \times(-3 \mathrm{y})^{5}=10 \mathrm{C}_{5} 2^{5} \times \mathrm{x}^{5} \times(-3)^{5} \times \mathrm{y}^{5}

So, the coefficient of x^{5} \times y^{5} \text { is }=10\left(5 \times 2^{5} \times(-3)^{5}\right.

10 \mathrm{C}_{5}=\frac{10 !}{5 ! \times(10-5) !}=\frac{10 !}{5 !+5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 !}{5 ! \times 5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6}{5 \times 4 \times 3 \times 2 \times 1}=\left(\frac{30240}{120}\right)=252

The coefficient of x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552

6 0
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Step-by-step explanation:

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Leno4ka [110]

Answer:

<h3>\boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{3}{7} }}}}}</h3>

Step-by-step explanation:

Let the points be A and B

A ( -5 , 1 ) ⇒( x₁ , y₁ )

B ( 2 , 4 )⇒( x₂ , y₂ )

<u>Findi</u><u>n</u><u>g</u><u> </u><u>the </u><u>slope</u><u> </u><u>of </u><u>the </u><u>line </u><u>passing </u><u>through</u><u> </u><u>these </u><u>Points</u>

Slope = \sf{ \frac{y2 - y1}{x2 - x1} }

plug the values

⇒\sf{ \frac{4 - 1}{2 - ( - 5)} }

We know that \sf{( - ) \times ( - ) = ( + )}

⇒\sf{ \frac{4 - 1}{2 + 5} }

Subtract 1 from 4

⇒\sf{ \frac{3}{2 + 5} }

Add the numbers

⇒\sf{ \frac{3}{7} }

Hope I helped!

Best regards!!

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31.25 percent of 112 is 35
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