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Dovator [93]
2 years ago
15

Five and nine tenths in expanded form and standard

Mathematics
1 answer:
nika2105 [10]2 years ago
3 0

Answer:

  • 5×1 +9×0.1
  • 5.9

Step-by-step explanation:

The verbiage "five and nine tenths" can refer to the mixed number 5 9/10, or to the decimal in standard form, 5.9. Simply converting the phrase to a decimal gets you the standard form.

The expanded form can be written a number of ways, depending on how you like to show the place value multipliers. The simplest expanded form is simply the sum of the digits:

  5 + 0.9

You can show the multipliers in standard form:

  5×1 + 9×0.1

Or, you can show the multipliers in exponential form:

  5×10⁰ +9×10⁻¹

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The function D(t) defines a traveler's distance from home, in miles, as a function of time, in hours. D(t) = StartLayout enlarge
nalin [4]

- At 2 hours, the traveler is 725 miles from home.

- At 3 hours, the distance is constant, at 880 miles. --> TRUE.

- The total distance from home after 6 hours is 1,062.5 miles --> TRUE.

Step-by-step explanation:

The function D(t) is defined as follows:

D(t) = 300t+125 for t< 2.5

D(t) = 880 for 2.5 \leq 3.5

D(t) = 75t+612.5 for t\leq 6

Where

t is the time in hours

D(t) is the distance covered, in miles, after t hours

Now let's analyze the different statements:

- The starting distance, at 0 hours, is 300 miles. --> FALSE. In fact, if we substitute t = 0 into the 1st equation, we get

D(0) = (300)(0)+125 = 125

So, the distance at t = 0 is 125 miles.

- At 2 hours, the traveler is 725 miles from home. --> TRUE. In fact, if we substitute t = 2 into the 1st equation,

D(2) = (300)(2)+125 = 725

- At 2.5 hours, the traveler is 875 miles from home. --> FALSE. In fact, for t=2.5 we have to use the 2nd equation, which states that the distance is:

D(t) = 880

So, not 875 miles.

- At 3 hours, the distance is constant, at 880 miles. --> TRUE. This is clearly visible from the 2nd equation: for t between 2.5 and 3.5 (so, in this case), the distance is

D(t) = 880

- The total distance from home after 6 hours is 1,062.5 miles --> TRUE. In fact, if we replace t = 6 into the last equation,

D(6)) = 75(6)+612.5=1062.5

Learn more about functions:

brainly.com/question/3511750

brainly.com/question/8243712

brainly.com/question/8307968

Learn more about  distance:

brainly.com/question/3969582

#LearnwithBrainly

4 0
1 year ago
Read 2 more answers
Hello, I was wondering if someone would be able to help me with this problem I'm on. Thanks :)
koban [17]

<span><span>Price after trade discount = $14,000 - (40% trade discount)

Price after trade discount = $14,000 - ($14,000 * 0.4)

Price after trade discount = $14,000 - ($5,600)

Price after trade discount = $8,400 </span>Price after trade discount = $8,400

2/10 EOM price = $8,400 - (2% discount)

2/10 EOM price = $8,400 - ($8,400 * 0.02)

2/10 EOM price = $8,400 - ($168)

2/10 EOM price = $8,232

So Intel will pay $8,232 on August 5.
Hope this helps.
</span>
4 0
2 years ago
or the past 50 days, daily sales of laundry detergent in a large grocery store have been recorded (to the nearest 10). Units Sol
bagirrra123 [75]

Answer, step-by-step explanation:

A. With the previous exercise we can deduce that there is the situation of a number of sales in a grocery store, the relative frequency for the number of units sold, is shown below:

units sold. relative frequency. Acumulative frequency. interval of random numbers

30. 0.16. 0.16. 0.00 <0.16

40. 0.24. 0.4. 0.16 <0.4

50. 0.3. 0.7. 0.4 <0.7

60. 0.2. 0.9. 0.7<09

70. 0.1. 1. 0.9<1

B. For the next point, they give us some random numbers and then it is compared with the simulation of 10 days in sales:

random Units

number. sold

0.12. 30

0.96. 70

0.53. 50

0.80. 60

0.95. 70

0.10. 30

0.40. 50

0.45. 50

0.77. 60

0.29. 40

the two lists are compared so that opposite each one is the result of the simulation

3 0
1 year ago
The product of two ratio rational numbers is 48/5. If one of the rational number is 66/7, find the other rational number.
goldenfox [79]
Let x = the other rational number.

x(66/7) = (48/5)

Solve for x to find your answer.
3 0
2 years ago
What is the average rate of change of f(x), represented by the graph, over the interval [-2, 2]?
Molodets [167]
To get the average rate of change (ARC) of f(x) over [x1, x2], we use the formula:
ARC = ( f(x2) - f(x2) ) / (x2 - x1)

From the graph
f(2) = 4
f(-2) = 4

Plugging in the values into the formula:
ARC = (4 - 4) / (2 - (-2) )
ARC = 0

The points connecting (-2,4) amd (2,4) is a horizontal line that is the rate of change is 0.
5 0
2 years ago
Read 2 more answers
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