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ivanzaharov [21]
3 years ago
9

Samantha is making some floral arrangements. The table show the prices 1/2 dozen of each type of flower.

Mathematics
1 answer:
adelina 88 [10]3 years ago
5 0
Working:
$5.29 + ((2/3) x 3.59) + ((4/3) x 4.79)
= $14.07 (to 2d.p.)

So, she estimated correctly that she will spend around $14 on the flowers but slightly more than $14, so I don't really know if you should say that she estimated correctly or not
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Nat2105 [25]
I think I believe it’s 8000
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3 years ago
If the length of rectangle is x + 4 and the width is 3x - 5 what is the perimeter?
statuscvo [17]

Answer:

8x-2

Step-by-step explanation:

l = x+4

w = 3x-5

The perimeter is

P =2(l+w)

   = 2(x+4+3x-5)

Combine like terms

   = 2(4x-1)

Distribute

   = 8x-2

6 0
3 years ago
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Write the equation of the line with the given slope and y- intercept. 1.Slope is -2 and a y-intercept of 5.
Monica [59]

Since the slope is -2, then m=-2. Since the y-intercept is 5, b=5. Then, we can create the equation: y=-2x+5


Since the slope is \frac{3}{4}, then m=\frac{3}{4}. Since the y-intercept is -3, b=-3.

Then, we can create the equation: y=\frac{3}{4}x-3



5 0
3 years ago
A phone company charges $0.50 per minute and a connection fee of $1. If you were to represent the total cost y of an x minute ca
klasskru [66]

Answer:

Per minute value fee would be the slope of the line.

Step-by-step explanation:

Given:

Per minute charges by the phone company = $ 0.50

Connection fee (fixed) charged by company = $ 1.0

We have to represent the total cost in terms of y and also explain the slope of the line.

According to the question:

Let the number of minutes be "x" .

And the total cost charged be "y" .

So,

The total cost = (No. of minutes)(Per minute charge) + Connection fee

Re-arranging in term of x and y.

⇒ total\ cost = (no.\ of\ minutes)(per\ minute\ charge) + connection\ fee

⇒ y=0.50(x)+1   ...equation (i)

Slope- intercept form: y=m(x) +b  m is the slope and b is the y-is   intercept.

⇒ Comparing equation (i) with the slope- intercept form.

⇒ m=0.50  and  b=1

So,

The slope of the line is 0.50 which is also represented by the per minute value of the call.

Per minute value fee would be the slope of the line.

4 0
3 years ago
Which table represents the graph of a logarithmic function in the form y=log3x when b>1?
alex41 [277]

Answer:

<u><em>The satisfied table of the given function</em></u>y = log_{b} (x)<u><em></em></u>

<em>x                    1/8            1/4             1/2              1             2</em>

<em>y                    -3                 -2            -1               0               1</em>

<em></em>

Step-by-step explanation:

<u><em>Explanation</em></u> :-

Given logarithmic function y = log_{b} (x)   if b >1

Given first table

i)

put x = \frac{1}{8}     given b > 1 so we can choose b = 2

y = log_{2} (\frac{1}{8} )

y = log_{2} (2^{-3}  )

we will apply logarithmic formula

log x ⁿ = n log (x)

y = log_{2} (2^{-3}  ) = -3 log_{2} (2) = -3 (1) = -3

<em>y = -3</em>

<em>ii)</em>

<em>put x = </em>\frac{1}{4}<em>     given b > 1 so we can choose b = 2</em>

<em></em>y = log_{2} (\frac{1}{4} )<em></em>

<em></em>y = log_{2} (2^{-2}  )<em></em>

we will apply logarithmic formula

log x ⁿ = n log (x)

y = log_{2} (2^{-2}  ) = -2 log_{2} (2) = -2 (1) = -2

<em>y = -2</em>

<em>iii) </em>

<em>put x = </em>\frac{1}{2}<em>     given b > 1 so we can choose b = 2</em>

<em></em>y = log_{2} (\frac{1}{2} )<em></em>

y = log_{2} (2^{-1}  )

<em>we will apply logarithmic formula </em>

<em>log x ⁿ = n log (x)</em>

y = log_{2} (2^{-1}  ) = -1 log_{2} (2) = - (1) = -1

<em>y = -1</em>

<em>iv) </em>

<em>put x = 1     given b > 1 so we can choose b = 2</em>

<em></em>y = log_{2} (1 )<em> = 0</em>

<em>y = 0</em>

<em>v) </em>

<em>put x = </em>2<em>     given b > 1 so we can choose b = 2</em>

y = log_{2} (2 )

<em>y = 1</em>

<em></em>

<u><em>Final answer:-</em></u>

<u><em>The satisfied table of the given function</em></u>

<em>x                    1/8            1/4             1/2              1             2</em>

<em>y                    -3                 -2            -1               0               1</em>

<em></em>

8 0
3 years ago
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