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Yakvenalex [24]
3 years ago
9

Skis at a sports store near Snow Summit are on sale for $475. If the original price was $500,what discount rate(percent change)

does this represent?
Mathematics
1 answer:
Pani-rosa [81]3 years ago
5 0

Answer: 5%

Step-by-step explanation:

Hi to answer this question, first we have to calculate the discount amount:

Original price - sale price

500-475 =25

Now, the original price (500) multiplied by the percent discount in decimal form (x) must be equal to the discount amount (25)

500x =25

Solving for x

x =25/500 =0.05

Multiply it by 100 to express in percentage form.

0.05 x 100 = 5%

Feel free to ask for more if needed or if you did not understand something.

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Write an equation for each linear function described. Show your work. The graph of the function passes through the point (2,1),
svp [43]

Step-by-step explanation:

As

  • The graph of the function passes through the point (2,1), and
  • y increases by 4 when x increases by 1.

so

x             y

2             1

3             5

4             9

5             13

6             17

and so on

From the table:

\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(2,\:1\right),\:\left(x_2,\:y_2\right)=\left(3,\:5\right)

m=\frac{5-1}{3-2}

m=4

As the slope-intercept form of the line is

y=mx+b

putting m=4 and any point, let say (2, 1) to find y-intercept 'b'.

1=\left(4\right)2+b

8+b=1

8+b-8=1-8

b=-7

So putting b=-7 and m=4  in the slope-intercept form of the line

y=\left(4\right)x+\left(-7\right)

y=4x-7

Therefore, the equation for the linear function will be:

y=4x-7

8 0
3 years ago
Tatami mats are used as a floor covering in japan. One possible layout uses four identical rectangular mats and one square mat,
Maksim231197 [3]

a) Given

Total area = 81 feet squared.

 Let the area of the square mat = x feet.

From question, area of the rectangular mat is twice that of square mat.

 So, the area of the rectangular mat = 2 x feet.

Now,

Total area = 81 feet squared

Then,

      4(2 x) + x = 81\\ \\ 9 x = 81\\ \\  x = \frac{81}{9}\\ \\ x = 9\\

Hence  the area of the one rectangular mat = 2*9 = 18 feet squared

b) Let the width of the rectangular mat = y feet.

  Then length of the mat = 2 y feet.

   Area of the rectangle = 2 y* y = 2 y^{2}

   and area of rectangle = 18 feet squared.

   So,

 2 y^{2} = 18\\ y^{2} = 9\\ y= \pm3\\

Width can not be negative.

Hence, the width of the rectangular mat = 3 feet

and  length of the rectangular mat = 3*2 = 6 feet

8 0
3 years ago
What is the vertical asymptote of f(x)=3/x+5
Rudiy27

Answer:

X = -5

Step-by-step explanation:

5 0
3 years ago
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Use the Change of Base Formula to evaluate log5 92. Then convert log5 92 to a logarithm in base 3. Round to the nearest thousand
ANTONII [103]
I was thinking that the answer  could be 

2.810; log3 21.903
         
            OR


<span> 2.810; log3 55.2 </span>

So,<span> log5 of 92 is between 2.5 and 3  Correct answer is A</span>

6 0
3 years ago
Read 2 more answers
What is the distance between R(–3, 1) and S(4, 5)?<br><br> Round to the nearest tenth.
Fed [463]
The answer is (-7,4)

\binom{ - 3}{1}  -  \binom{4}{5}  =  \binom{ - 7}{4}



good luck
3 0
3 years ago
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