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Natali [406]
3 years ago
5

Elijah earn 200$ for 8 hours of work. what is the unit rate(in dollars per hour)

Mathematics
1 answer:
Marysya12 [62]3 years ago
4 0

Answer: 25 dollars per hour.

Step-by-step explanation: Rate this for free toast.

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2a(5-b)=3b+7 solve for b<br> Step by step
Sidana [21]
<span>2a(5-b)=3b+7

<em>[open bracket]</em>
10a - 2ab = 3b + 7

<em>[solve for b, so we need to move all terms with b to the left]</em>
<em>[-3b on both sides]</em>
10a - 2ab - 3b = 3b + 7 - 3b
10a - 2ab - 3b = 7

<em>[move all those without b to the right]</em>
<em>[-10a on both side]</em>
10a - 2ab- 3b - 10a = 7 - 10a
-2ab - 3b = 7 - 10a

<em>[divide by -1 through to change b to be positive]</em>
2ab + 3b = 10a - 7

<em>[take b out as the common factor]</em>
</span>b(2a + 3) = 10a - 7<span>

<em>[divide by (2a+3) through]</em>
b = (10a -7)/(2a+3)


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3 years ago
Divide 2x^4 -5x^3+3-1 by 2x -1 <br> please help and please show the steps on how you did it
MaRussiya [10]
The answer below (I need 20 characters to respond so just ignore the words between the parenthesis on this response)

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Question 4 of 25
Yuki888 [10]

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How many whole numbers are in 35?
Hoochie [10]

Answer:

12

Step-by-step explanation:

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1 year ago
An open box with a square base is to be made from a square piece of cardboard 24 inches on a side by cutting out a square from e
laila [671]

Answer:

x=4 Inch

Step-by-step explanation:

Length of the Square = 24 Inches

If a Square of Length x cm is cut out from each corner

Length of the Box = 24-x-x=(24-2x) Inches

Width of the Box =24-x-x=(24-2x) Inches

Height of the box = x inches

Volume of a Cuboid = Length X Width X Height

V(x)= x(24-2x)(24-2x)

Simplifying

V(x)=4x(12-x)(12-x)

To determine the value of x at which V is largest, we take the derivative of V(x) and solve for the critical points.

V(x)=4x(12-x)(12-x)

V^{'}(x)=12(x-12)(x-4)

Set the derivative equal to zero to obtain the critical points

V^{'}(x)=12(x-12)(x-4)=0\\Since \: 12\neq 0\\(x-12)(x-4)=0\\x-12=0 \:or\: x-4=0\\x=12 \:or\: x=4

x cannot be equal to 12 as it divides the length of the square cardboard into exactly two equal parts.

When x=4

V(4)=4*4(12-4)(12-4)=16*8*8=1024 Cubic Inches

When x=4 Inch, the volume, V of the open box is largest.

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3 years ago
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