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bearhunter [10]
2 years ago
12

A train leaves the station at time t = 0. Traveling at a constant speed, the train travels 390

Mathematics
1 answer:
maxonik [38]2 years ago
8 0

Answer:

a: D= 130T

B it is a linear function

Step-by-step explanation:

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It takes Sue, Jeff and Todd 4 hours to paint a room together. If it takes Sue 10 hours by herself and Jeff 12 hours by himself,
diamong [38]

The number of time it would take Todd to paint the room alone is 15 hours.

  • Let the Todd's time be t.

<u>Given the following data:</u>

  • Combine time = 4 hours
  • Sue's time = 10 hours
  • Jeff's time = 12 hours

To calculate the number of time it would take Todd to paint the room alone:

How to solve a word problem:

In order to solve this exercise, we would first of all calculate their individual rate and combined rate respectively. Finally, we would add their individual rates together and equate it to the combined rate.

<u>For </u><u>Sue</u><u>:</u>

Rate = \frac{1}{10} \;work/hr

<u>For </u><u>Jeff</u><u>:</u>

Rate = \frac{1}{12} \;work/hr

<u>For </u><u>Todd</u><u>:</u>

Rate = \frac{1}{t} \;work/hr

<u>Combined rate:</u>

Rate = \frac{1}{4} \;work/hr

Adding the individual rates, we have:

\frac{1}{10} +\frac{1}{12} +\frac{1}{t} =\frac{1}{4} \\&#10;\\&#10;

Multiplying all through by 120t, we have:

12t+10t+120=30t\\&#10;\\&#10;22t+120=30t\\&#10;\\&#10;120=30t-22t\\&#10;\\&#10;120=8t\\&#10;\\&#10;t=\frac{120}{8}

t = 15 hours.

Read more on word problems here: brainly.com/question/13170908

5 0
2 years ago
Find the selling price.<br> Cost to store: $75<br> Markup: 35%
melisa1 [442]

Answer:

101.25

Step-by-step explanation:

75.00 x 35% = 26.25

26.25 + 75.00 = 101.25

6 0
2 years ago
Suppose you received a score of 95 out of 100 on exam 1 . The mean was 79 and the standard deviation was 8 . If your score on ex
Schach [20]

Answer:

You did the same on both exams.

Step-by-step explanation:

To compare both the scores, we need to compute the z scores of both the exams and then compare the values. The formula for z-score is:

<u>Z = (X - μ)/σ</u>

Where X = score obtained

           μ = mean score

           σ = standard deviation

For Exam 1:

Z = (95 - 79)/8

  = 16/8

<u>Z = 2</u>

For Exam 2:

Z = (90 - 60)/15

  = 30/15

<u>Z = 2</u>

<u>The z-scores for both the tests are same hence the third option is correct i.e. </u><u>you did the same on both exams.</u>

8 0
3 years ago
Look at the function f(x) = x3 - 4 x. which describes an interval in which the function is increasing?
Bad White [126]
Differentiate it
 get  f ' (x)=3x^2-4
put 3x^2-4=0
x=2/√3,-2/√3
so interval 
x∈(-2/√3,2/√3)
5 0
3 years ago
What is tje equation of the function?
crimeas [40]

Answer:

It is relatively easy to determine whether an equation is a function by solving for y. When you are given an equation and a specific value for x, there should only be one corresponding y-value for that x-value. For example, y = x + 1 is a function because y will always be one greater than x.

Step-by-step explanation:

8 0
2 years ago
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