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diamong [38]
3 years ago
14

An item on sale cost 85% of the original price of the original price was $40 what is the sales price

Mathematics
1 answer:
irina1246 [14]3 years ago
6 0

Answer:

34$

Step-by-step explanation:

First you take the 85% and convert it into a decimal which is 0.85

Then you multiply 0.85 by 40 and you get 34!

So 85% of 40$ is 34$

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A force of 8 lb is required to hold a spring stretched 8 in. beyond its natural length. How much work W is done in stretching it
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Answer:

The work done in stretching it from its natural length to 14 in. beyond its natural length is W=8.17 ft-lb.

Step-by-step explanation:

We know that a force of 8 lb is required to hold a spring stretched 8 in. beyond its natural length.

This let us calculate the spring constant k as:

F=kx\\\\k=F/x=(8 \;lb)/(8\;in)=1\;lb/in

We know that work is, in an scalar form, the product of force and distance.

The force F is equal to the spring constant multiplied by the distance from the natural length.

Then, as the force changes with the distance from the natural length, we have to calculate integrating:

W=\int_0^{14}F\,dx=\int_0^{14}kx\,dx\\\\\\W=\dfrac{1}{2}kx^2\left|^{14}_0=\dfrac{1}{2}(1\,lb/in)(14 \,in)^2-\dfrac{1}{2}(1\,lb/in)(0 \,in)^2

W=98lb\cdot in-0lb-in\\\\W=98(lb\cdot in)\cdot \dfrac{1 \,ft}{12\,in}=8.17\;lb\cdot ft

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Answer:

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Step-by-step explanation:

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3 years ago
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A square with sides length of 4x ^3 m has an area of 16x^6 m^2 is this true or false ​
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Answer:

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Step-by-step explanation:

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3 years ago
X + 6y = 2 4x - 3y = 10 Pick the first step to solving this system of equations using the addition method.
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<span>x + 6y = 2
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The first thing to do when solving a system of equations using the addition/elimination method is to multiply one or both of the equation by a value that will cancel out one of the variable terms. 

Based on this, the correct answer is D - multiply the bottom equation by 2 thus eliminating the y variable when the equations are added together:

</span>x + 6y = 2                     x + 6y = 2
2(4x - 3y = 10)    -->    8x - 6y = 20<span>

Hope this helps.</span>
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3 years ago
Helpppp!!! <br>Which equation can be used to find the length -of AC?​
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A)
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