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zysi [14]
3 years ago
7

A store charges $1.25 per bathroom tile and lets you use their installation tools for free.Another store charges $0.75 per tile

but charges you $50 to use their tools. How many tiles would you need to buy for the total cost to be the same?
Mathematics
1 answer:
padilas [110]3 years ago
8 0

Answer:

100 tiles

Step-by-step explanation:

You would set up the equation like this.

1.25t=0.75t+50

Then, solve for t and it will show you how many tiles you will need to buy for it to be equal.

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3 years ago
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How does the graph of y = sec(x + 3) – 7 compare with the graph of y = sec(x)?
Alla [95]

Answer:

The function y = sec(x) shifted 3 units left and 7 units down .

Step-by-step explanation:

Given the function: y = sec(x)

  • If k is any positive real number, then the graph of f(x) - k is  the graph of y = f(x) shifted downward k units.
  • If p is a positive real  number, then the  graph of f(x+p) is  the graph of y=f(x)  shifted to the left  p units.

The function y = \sec(x+3)-7 comes from the base function y= sec(x).  

Since 3 is added added on the inside, this  is a horizontal shift Left 3 unit, and since 7 is subtracted on the outside, this is a vertical shift  down 7 units.

Therefore, the transformation on the given function is shifted  3 units left and 7 units down


3 0
3 years ago
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The U.S. Census Bureau announced that the median sales price in 2014 for new homes was $282,800 and the mean sales price was $34
victus00 [196]

Answer:

a) 0.9964

b) 0.3040

Step-by-step explanation:

Given data:

standard deviation =  $90,000

Mean sales price =$345,800

sample mean =  $370,000

Total number of sample = 100

calculate z score for [/tex](\bar x = 370000)[/tex]

z = \frac{\bar x - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{370000 - 345800}{\frac{90000}{\sqrt{100}}}

z = 2.689

P(x<370000) = P(Z<2.689)

FROM STANDARD NORMAL DISTRIBUTION TABLE FOR Z P(Z<2.689) = 0.9964

B)

calculate z score for (\bar x = 350000)

z = \frac{\bar x - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{350000 - 345800}{\frac{90000}{\sqrt{100}}}

z = 2.133

P(350000 \leq \bar x \leq 365000) = P(0.467 \leq Z\leq 2.133) = P(Z\leq 2.133) - P(Z\leq 0.467)

FROM NORMAL DISTRIBUTION TABLE Z VALUE FOR

P(Z\leq 2.133) = 0.9836

P(Z\leq 0.467) = 0.6796

SO,  = 0.9836 - 0.6796 = 0.3040

4 0
3 years ago
Solve the inequality below. Use the drop-down menus to describe the solution and its greah
Solnce55 [7]

Answer:

The solution of the inequality is x ≤ -4. A graph of the solution should have a vertical line passing through x = -4 and be shaded to the left of x = -4

Step-by-step explanation:

-7x + 13 ≥ 41

Subtract 13 from both sides

-7x ≥ 28

Dividing both sides by the -7 changes the inequality sign and we have

x ≤ -4

Hence, the solution of the inequality is x ≤ -4 and the graph of the solution should have a vertical line passing through x = -4 and it should be shaded to the left of x = -4 indicating that only numbers less than or equal to -4 are possible solutions of the inequality.

Hope this Helps!!!

6 0
3 years ago
Find the equation of the line that passes through the points : (4 , -1 ) and (0 , -3)
Sergio [31]

Answer:

B. y= 1/2 x - 3

Step-by-step explanation:

base equation: y= mx+ b

slope(m) equation: \frac{y_{2}-y_{2}  }{x_{2} -x_{1} }

y2= -1    y1= -3

x2= 4     x1= 0

\frac{-1 - (-3)}{4-0} =\frac{2}{4} = \frac{1}{2}

y- intercept: -3

found by taking the y from (0,-3)

3 0
3 years ago
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