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olchik [2.2K]
3 years ago
11

An object is traveling at a steady speed of 9 9/10 km/per hour about how long will it take the object to travel 5/1/10 km/per ho

ur.
Mathematics
1 answer:
Delicious77 [7]3 years ago
8 0

Answer:

0.52 km

Step-by-step explanation:

We are given that

Speed of object, v=9\frac{9}{10}km/h

Speed of object, v=9+0.9=9.9km/h

Distance travel by object, s=5\frac{1}{10}km

Distance travel by object, s=5+0.1=5.1km

We have to find the time taken by object to travel 5 1/10 km.

We know that

Time=\frac{Distance}{speed}

Using the formula

Time taken by object to travel 5.1 km =\frac{5.1}{9.9} hr

Time taken by object to travel 5.1 km=0.52 hr

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vlada-n [284]

The linear function represents the amount of money, m, that Carla has saved after w weeks is m = 25 w + 80

Step-by-step explanation:

Carla is saving money for a trip this summer. She already has some money in her savings account and will add the same amount to her account each week

  • At the end of 2 weeks, Carla has $130
  • At the end of 8 weeks, she has $280

Write a linear function in the form y = m x + b to represent the amount of money, m, that Carla has saved after w weeks

The linear equation is y = m x + b, where m is the slope of the line and b is the y-intercept

The formula of the slope is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} , where (x_{1},y_{1}) and (x_{2},y_{2}) are 2 points on the line

∵ The slope is the rate of change of y and x

∴ The same amount of money that Carla add every week = m

∵ At the end of 2 weeks, Carla has $130

∴ The first point is (2 , 130)

∵ At the end of 8 weeks, she has $280

∴ The second point is (8 , 280)

∵ m=\frac{280-130}{8-2}=\frac{150}{6}=25

∴ The same amount of money that Carla add every week = $25

∵ The amount of money that Carla saved after w week is m

∴ m = 25 w + b, where b is the initial amount of money that she

   saved in her account

To find b substitute w and m by the coordinates of one of the two

given points, let us use the first point

∵ w = 2 and m = 130

∵ m = 25 w + b

∴ 130 = 25(2) + b

∴ 130 = 50 + b

- Subtract 50 from both sides

∴ 80 = b

∴ m = 25 w + 80

The linear function represents the amount of money, m, that Carla has saved after w weeks is m = 25 w + 80

Learn more:

You can learn more about the linear function in brainly.com/question/4326955

#LearnwithBrainly

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Step-by-step explanation: if you divide the amount of miles by the miles per gallon you will find your answer. 1975/25=79

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scZoUnD [109]
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Answer: The system of equations are;

a + b = 9 ———(1)

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Step-by-step Explanation: The variables used here are a and b. Where a represents the number of free throws and b represents the number of three-pointers.

From equation (1), what we have is the total number of shots he has taken altogether which is 9 shots in all. All 9 shots are an addition of free throws and three pointers (that is a + b).

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