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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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A 16-inch candle is lit and burns at a constant rate of 0.8 inches per hour. Let t represent the number of hours since the candl
Tamiku [17]

Answer:

<h2>See the explanation.</h2>

Step-by-step explanation:

a.

The initial length of the candle is 16 inch. It also given that, it burns with a constant rate of 0.8 inch per hour.

After one hour since the candle was lit, the length of the candle will be (16 - 0.8) = 15.2 inch.

After two hour since the candle was lit, the length of the candle will be (15.2 - 0.8) = 14.4 inch. The length of the candle after two hours can also be represented by {16 - 2(0.8)}.

Hence, the length of the candle after t hours when it was lit can be represented by the function, f(t) = 16 - 0.8t. f(t) = 0 at t = 20.

b.

The domain of the function is 0 to 20.

c.

The range is 0 to 16.

8 0
2 years ago
Find the percent of change from 688 qt to 172 qt.
Alekssandra [29.7K]

There is 75% decrease.

Step-by-step explanation:

Given,

Old value = 688 qt

New value = 172 qt

Change = New value - Old value

Change = 172 - 688

Change = -516 qt

The negative sign indicates decrease.

Decrease percent = \frac{Change}{Old\ value}*100

Decrease percent = \frac{516}{688}*100

Decrease percent = \frac{51600}{688}

Decrease percent = 75%

There is 75% decrease.

Keywords: division, subtraction

Learn more about subtraction at:

  • brainly.com/question/10196212
  • brainly.com/question/1021953

#LearnwithBrainly

3 0
2 years ago
Read 2 more answers
Farmers mowed 60 acres of grass a day instead of 50 and managed to finish the task one day earlier than planned. What is the are
schepotkina [342]
 300 acres. because <span>multiply 60 by 5.</span>
6 0
2 years ago
Which represents the solution set of the inequality 5 x minus 9 less-than-or-equal-to 21
Whitepunk [10]

Answer:

x less than or equal to 6

Step-by-step explanation:

5x-9 ≤ 21 ===> 5x ≤ 21+9 ===> 5x ≤ 30 ===> x ≤ 30/5 ===> x ≤ 6

5 0
2 years ago
Read 2 more answers
Consider the first five steps of the derivation of The Quadratic function
Burka [1]

Answer:

Step-by-step explanation:

  • pick like terms

x² +  b²/4a² = -c / a + b²/4a²

  • b²/4a² = (b/2a)²

x² + (b/2a)² = -c/a + (b/2a)²

(x + b/2a)² = -c/a + (b/2a)² =  -c / a + b²/4a² = (-4ac+ b²)/4a²

(x + b/2a)² =  (-4ac+ b²)/4a²

  • square root both sides

√{(x + b/2a)²} = √{(-4ac+ b²)/4a²}

x + b/2a = √(-4ac+ b²) / √(4a²) = √(-4ac+ b²) / 2a = √( b²-4ac) / 2a

x + b/2a  =  √( b²-4ac) / 2a

  • subtract b/2a from both sides

x + b/2a -b/2a  =  {√( b²-4ac) / 2a } -b/2a

x = -b/2a +   {√( b²-4ac) / 2a }

  • the l.c.m is the same

x = {-b±√( b²-4ac)}/2a

7 0
2 years ago
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