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AnnyKZ [126]
3 years ago
5

Henry records how many days he rides his bike and how far he rides each week. He rides the same distance each time . He rode 17

miles in 3 days, 24 miles in 4 days and 42 miles in 7 days Write and solve an equation to find how far he rides his bike in 10 days.
Mathematics
2 answers:
alexandr1967 [171]3 years ago
8 0

64 miles cuz he would take the shorter way

Allushta [10]3 years ago
7 0

Answer:

60 miles

Step-by-step explanation:

a. Find the equation

Given:

  • 3 days : 18 miles
  • 4 days : 24 miles
  • 7 days:  42 miles

Let y is the number of miles Henry can drive (dependent variable)

Let x is the number of days Henry can drive (independent variable)

The standard form of the equation is:

y = mx + b where m is the slope of the function

We know the slope is:

m = \frac{y2 -y1}{x2 -x1} = \frac{24 -18 }{4-3} = 6

=> y = 6x + b

To find b, we substitute 4 days : 24 miles into the above function:

24 = 6*4+ b

<=> b = 0

=> y =  6x

b.  How far he rides his bike in 10 days.

Let x =10, we have y = 6*10 = 60 miles

Hope it will find you well.

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Complete the frequency table:
SOVA2 [1]

The percentage of students age 15 and above travel to school by bus is 47%

<h3>How to complete the table?</h3>

The table of values is given as:

                     Method of Travel to School

                            Walk/Bike    Bus    Car Row totals

Under age 15                            18                 165

Age 15 and above    65                                 195

Column totals          152          110        98      360

Using the column total of column 1, we have:

Under age 15 + 65 = 152

This gives

Under age 15 = 87

Using the column total of column 2, we have:

Age 15 and above + 18 = 110

This gives

Age 15 and above  = 92

Using the row total of row 1, we have:

Car + 87 + 18 = 165

This gives

Car = 60

Using the row total of row 2, we have:

Car + 65 + 92 = 195

This gives

Car = 38

So, the complete frequency table is

                     Method of Travel to School

                            Walk/Bike    Bus    Car Row totals

Under age 15           87              18      60        165

Age 15 and above    65          92        38        195

Column totals          152          110        98      360

The percentage of students age 15 and above travel to school by bus is:

Percentage = 92/195 * 100%

This gives

Percentage = 47%

Read more about frequency table at:

brainly.com/question/12576014

#SPJ1

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MA_775_DIABLO [31]

Answer:

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Step-by-step explanation:

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Describe the transformations of how the graph y=x^2 can be transformed into y= -1/5 (x-4)^2 + 2
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Answer:

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Step-by-step explanation:

Parent Graph: f(x) = a(bx - h)² + k

<em>a </em>is vertical stretch (a > 1) or shrink (a < 1) and reflection over x-axis

<em>b</em> is horizontal stretch or shrink and reflection over y-axis

<em>h</em> is horizontal movement left (if positive) or right (if negative)

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Now that we have our rules, we simply apply it to y = -1/5(x - 4)² + 2

<em>a</em> = -1/5, so reflection over x-axis and vertical shrink of 1/5 (1/5 < 1)

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