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True [87]
3 years ago
6

Express simplest form

Mathematics
1 answer:
Genrish500 [490]3 years ago
7 0

p\%=\dfrac{p}{100}\\\\2\dfrac{1}{2}\%

<em>Convert the mixed number to the improper fraction.</em>

2\dfrac{1}{2}=\dfrac{2\cdot2+1}{2}=\dfrac{5}{2}


2\dfrac{1}{2}\%=\dfrac{5}{2}\%=\dfrac{\frac{5}{2}}{100}=\dfrac{5}{2}\cdot\dfrac{1}{100}=\dfrac{1}{2}\cdot\dfrac{1}{20}=\dfrac{1}{40}

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Yoko is going for a walk. She takes 5 hours to walk 12.5 miles. What is her speed?
Dennis_Churaev [7]

Answer:

2.5mph (miles per hour)

Step-by-step explanation:

Simple, 12.5/5 = 2.5 mph (miles per hour)

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The price of a 32 pack of water at heb is $2.98. The tax rate is 8% what is the final cost of the water
SpyIntel [72]

Answer:

The final cost of the water is $3.22.

Step-by-step explanation:

In order to find the answer, you have to add the tax to the price of the 32 pack of water by calculating 8% of the price and adding that amount to it.

2.98*8%=0.24

2.98+0.24=3.22

According to this, the answer is that the final cost of the water is $3.22.

3 0
3 years ago
Describe and correct the error the student made when writing the equation of the line that passes through (-8,5)
pshichka [43]

Option D (The student should have used  as the slope of the perpendicular line.) is correct.

Step-by-step explanation:

We need to identify the error that the student made in finding equation of the line that passes through (-8,5)  and is perpendicular to y = 4x + 2

The slope of the required line would me -1/m because both lines are perpendicular.

So, slope of new line will be: -1/4

because the equation of slope-intercept form is: y=mx+b where m is the slope

Now, for finding equation the student used point slope form i.e y-y_1=m(x-x_1)

where y_1 and x_1 are the points and m is the slope.

Putting values:

x_1=-8, y_1=5 and m=-1/4

y-5=-\frac{1}{4}(x-(-8))\\y-5=-\frac{1}{4}(x+8)\\y-5=-\frac{1x}{4}-2\\y=-\frac{1x}{4}-2+5\\y=-\frac{1x}{4}+3

This is the correct solution.

The student made error by using the wrong slope he used 2 instead of -1/4

in the step y-5 = 2(x-(-8))

So, Option D (The student should have used  as the slope of the perpendicular line.) is correct.

Keywords: Equation of line using Slope  

Learn more about Equation of line using Slope at:

  • brainly.com/question/4819659
  • brainly.com/question/4097107
  • brainly.com/question/1979240

#learnwithBrainly

3 0
3 years ago
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Where is the solution located on a graph a system of equations?
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