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Stella [2.4K]
2 years ago
7

Find the area of a rectangle with length (3x+2) units with width ( 4x+10 ) units​

Mathematics
2 answers:
Shalnov [3]2 years ago
8 0

Area of rectangle = Length × Width

  • Length - (3x+2)
  • Width - (4x+10)

Area of rectangle = (3x+2) × (4x+10)

Area of rectangle = 3x(4x+10) + 2(4x+10)

Area of rectangle = 12x² + 30x + 8x + 20

Area of rectangle = 12x² + 38x + 20

Hence , the area of rectangle is 12x² + 38x + 20 units

pantera1 [17]2 years ago
6 0

Answer:

Step-by-step explanation:

Area of rectangle = length * width

 = (3x + 2)(4x + 10)

  = 3x *(4x + 10) + 2*(4x + 10)

 = 3x *4x + 3x *10 + 2*4x + 2*10

 = 12x² + <u>30x + 8x</u> + 20   {Combine like terms}

  = 12x² + 38x + 20

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Avon Edwards worked 45.5 hours at $5 per hour. He made $100 in tips but no bonuses. Anything over 40 hours is paid time-and-a-ha
posledela

Answer:

1. D

2. B


Step-by-step explanation:

<u>Question 1:</u>

We can get Avon's earnings using the equation  W=HR+1.5VR+B+T

Where W is his earnings

HR is the regular hours (40 hours in this case)

V is overtime hours (hours over 40, 45.5 - 40 = 5.5 hours)

B is bonus (no bonus)

T is tips ( $100 tips, given)

and R is the rate (which is $5 per hour)


<em>Substituting the given info into the equation, we get:</em>

<em>W=HR+1.5VR+B+T\\W=(40)(5)+1.5(5.5)(5)+0+100\\W=341.25</em>


<em>So avon's earnings are $341.25</em>

<em>Answer choice D is right.</em>


<u>Question 2:</u>

The other employee needs to work x hours @ $15 per hour to equate or surpass $428. So we can set up the equation shown below and solve for x:

(15)(x)=428\\x=\frac{428}{15}\\x=28.53

Rounded to 1 decimal place, this is about 28.5 hours

Answer choice B is right.


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