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Hatshy [7]
3 years ago
5

The furniture store sells dining room tables and chairs. single chairs for particular table sell for 75.00 each. the cost for fo

ur chairs when the customer purchases the entire set is 200. what is the percent savings on the 4-chair set rounded to the nearest whole percent?
a.25%
b.33%
c.50%
d.66%
Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
3 0

Answer:

B, 33%

Step-by-step explanation:

Let us find the original price of four chairs without the special deal, and <u>compare</u> it with the deal to find the percent savings.

Step 1:

A customer must buy 4 chairs costing $75 each to recieve the deal. Let us <u>multiply</u> 4 by 75 to find the total cost without the deal:

4*75=\\300

Step 2:

We now know the original cost of the 4 chairs, and the price of 4 chairs with a deal. Let us <u>subtract the difference of costs</u> and convert it into a <u>percentage</u> to find percent savings:

300-200=100\\\frac{100}{300} =\frac{1}{3}

\frac{1}{3}=33%

<u>Therefore, B, the percent savings is 33%.</u>

<em>I hope this helps! Let me know if you have any questions :)</em>

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A 15​-ft by 15​-ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 13
andrezito [222]

Answer:

2ft wide

Step-by-step explanation:

Total Area = Area of the summing pool +  total Area of the walkway.

Area of the summing pool = 15 × 15 = 225ft²

And total area of walkway = 136ft²

∴ total area = 225 + 136 = 361 ft².

Let w = The width of the walkway.

Since the walkway has a uniform width

∴ Total Area of pool and walkway = (15+2w)(15+2w)

⇒ (15+2w)(15+2w) = 361........................(1)

 Expanding Equation(1)

 15×15 + 15×2w + 2w×15 + 2w×2w = 361

 ⇒ 225 + 30w + 30w + 4w² = 361................(2)

  Rearranging equation(2) above and collecting like terms

   4w²+60w = 361-225

    4w² + 60w = 136..............................(3)

   Dividing all through equation(3) by 4

   4w²/4 + 60w/4 = 136/4

    w² + 15w = 34..............(4)

    rearranging equation(4)

    w²+15w -34 = 0

Using factorization method to solve the quadratic equation,

   w² + 15w - 34 = 0

Two numbers whose sum give +15 and whose product gives -34

are +17 and -2.

∴ w² -2w +17w -34 =0

   grouping the equation,

   (w²-2w) + (17w-34) =0

  Bringing out the common terms in both bracket.

  w(w-2) +17(w-2) =0

 since both term in the bracket are the same, take one of the term in the bracket and form a bracket for the outer term i.e

(w-2)(w+17)=0.

Either w-2 =0

           w=+2

OR    w+17 =0

          w=-17.

The right answer is w=+2 as wide can not be negative.

∴ The walkway is 2ft wide.

 

 

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Answer:

should be 3.07 (when rounded to the nearest  hundredth)

Step-by-step explanation:

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