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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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kupik [55]

Answer:

The equation  to find the total number of minutes (including rest) that Spencer should plan to be out biking is 10(m-15)=450.

Spencer should plan for 60 minutes  to be out biking.

Step-by-step explanation:

Given:

Total calories need to burn = 450 calories

Calories burn per minute = 10

number of minutes he rest = 15

We need to find the total number of minutes (including rest) that Spencer should plan to be out biking.

Solution:

Let Total minutes of biking be 'm'.

So we can say that.

Calories burn per minute multiplied by the difference of total minutes and number of minutes he rest is equal to Total calories need to burn.

framing in equation form we get;

10(m-15)=450

Hence the equation  to find the total number of minutes (including rest) that Spencer should plan to be out biking is 10(m-15)=450.

On Solving the above equation we get;

First we will divide both side by 10 we get;

\frac{10(m-15)}{10}=\frac{450}{10}\\\\m-15=45

Now adding both side by 15 we get;

m-15+15=45+15\\\\m=60\ minutes

Hence Spencer should plan for 60 minutes  to be out biking.

4 0
3 years ago
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AVprozaik [17]

Answer:

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Step-by-step explanation:

let n represent the unknown number

let n-3 represent the second unknown number

n+n-3 = 45

2n-3=45

2n=45+3

2n=48

n=48/2

n=24

n-3=21

CHECK: 24+21=45

.˙. the first number is 24 and the second number with a difference of 3 is 21

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