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Lemur [1.5K]
3 years ago
9

Lucy took a taxi from her house to the airport. The taxi company charged a pick-up fee of $3.80 plus $3 per mile. The total fare

was $39.80, not including the tip. Write and solve an equation which can be used to determine xx, the number of miles in the taxi ride.
Mathematics
2 answers:
ELEN [110]3 years ago
8 0

Answer:

3$

Step-by-step explanation:

39.80/ 3 =13.2667

3$

prisoha [69]3 years ago
4 0
If you do 39.80/ 3 it would give you 13.2667miles and since the tip was not added that’s when you don’t do anything with that number and 3 because every mile you pay 3$
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bearhunter [10]

Answer: I don't know what you meant by remainder but i hope this helps :)

x=\frac{-3+\sqrt{29}}{4},\:x=-\frac{3+\sqrt{29}}{4}\\

Step-by-step explanation:

\left(4x^2+7x-1\right)=\left(4+x\right)\\\mathrm{Refine}\\4x^2+7x-1=4+x\\\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}\\4x^2+7x-1-x=4+x-x\\Simplify\\4x^2+6x-1=4\\\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}\\4x^2+6x-1-4=4-4\\\mathrm{Simplify}\\4x^2+6x-5=0\\\mathrm{For\:}\quad a=4,\:b=6,\:c=-5:\\\quad x_{1,\:2}=\frac{-6\pm \sqrt{6^2-4\times \:4\left(-5\right)}}{2\times \:4}

\frac{-6+\sqrt{6^2-4\times \:4\left(-5\right)}}{2\times \:4}\\=\frac{-6+\sqrt{6^2+4\times \:4\times \:5}}{2\times \:4}\\=\frac{-6+\sqrt{116}}{2\times \:4}\\=\frac{-6+\sqrt{116}}{8}\\\\Let\: simplify\: ; -6+2\sqrt{29}\\=-2\times \:3+2\sqrt{29}\\=2\left(-3+\sqrt{29}\right)\\=\frac{2\left(-3+\sqrt{29}\right)}{8}\\=\frac{-3+\sqrt{29}}{4}\\

\frac{-6-\sqrt{6^2-4\times \:4\left(-5\right)}}{2\times \:4}\\\\=\frac{-6-\sqrt{6^2+4\times \:4\times \:5}}{2\times \:4}\\\\=\frac{-6-\sqrt{116}}{2\times \:4}\\\\=\frac{-6-2\sqrt{29}}{8}\\\\=-\frac{2\left(3+\sqrt{29}\right)}{8}\\\\=-\frac{3+\sqrt{29}}{4}\\\\\\x=\frac{-3+\sqrt{29}}{4},\:x=-\frac{3+\sqrt{29}}{4}

6 0
3 years ago
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N76 [4]
Answer:
slope of M'N' = 1

Explanation:
First, we will need to get the coordinates of points M' and N':
We are given that the dilation factor (k) is 0.8
Therefore:
For point M':
x coordinate of M' = k * x coordinate of M 
x coordinate of M' = 0.8 * 2 = 1.6
y coordinate of M' = k * y coordinate of M
y coordinate of M' = 0.8 * 4 = 3.2
Therefore, coordinates of M' are (1.6 , 3.2)

For point N':
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y coordinate of N' = 0.8 * 5 = 4
Therefore, coordinates of M' are (2.4 , 4)

Then, we can get the slope of M'N':
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For M'N':
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Hope this helps :)
8 0
3 years ago
What is the volume of the right rectangular prism?
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Answer:

240

Step-by-step explanation:

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Hope this helped, have a wonderful day man!

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2 years ago
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Sloan [31]

Answer:

The coefficient of correlation does not change.

Step-by-step explanation:

We are given the following in the question:

The daily intake food is measured in ounces.

The body weight is measured in pounds.

Correlation between food intake and body weight = 0.80

Properties of correlation:

  • Correlation is a technique that help us to find or define a relationship between two variables.
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Conclusion:

A shift in units from ounces to grams and from pounds to kilogram does not change the value of coefficient of correlation.

8 0
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