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3 years ago

21 3/5 is what percent of 40

Mathematics

2 answers:

EleoNora [17]3 years ago

8 0

Method 1:

$21\dfrac{3}{5}=\dfrac{21\cdot5+3}{5}=\dfrac{108}{5}\\\\\\\\\begin{array}{ccc}40&-&100\%\\\dfrac{108}{5}&-&p\%\end{array}\qquad\text{cross multiply}\\\\\\\\40p=\dfrac{108}{5}\cdot100\\\\40p=108\cdot20\\\\40p=2160\qquad\text{divide both sides by 40}\\\\\boxed{p=54}$

<h3>Answer: 21 3/4 is 54% of 40.</h3>

Method 2:

$\dfrac{\frac{108}{5}}{40}\cdot100\%=\dfrac{108}{5}\cdot\dfrac{1}{4}\cdot10\%=\dfrac{108}{2}\%=54\%$

<h3>Answer: 21 3/4 is 54% of 40.</h3>

ratelena [41]3 years ago

4 0

Answer:

21.6 is 54% of 40.

Step-by-step explanation:

21.6 ÷ 40 = 0.54 = 54%

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The distance between Vancouver and Winnipeg is approximately 1850 km in a straight line. The distance on a map is 3.7 cm. Write

yKpoI14uk [10]

3.7cm on the map represents 1850km in reality

3.7cm : 1850km

1cm : 1850/3.7 km

1cm : 500km

Scale statement for map is : 1cm : 500km.

That is 1cm on map represents 500km.

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3 years ago

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salantis [7]

Answer: C, 4 gallons per minute.

Step-by-step explanation: To find the unit rate of the faucet, we must make the units an even gallons/minute. Thus, we multiply each rate by 5 to get 4 gallons/minute.

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3 years ago

4) You are downloading songs for your mp3 player. Six songs cost $5.94. You want to buy 4

jeka57 [31]

Answer:

4 songs: $3.96 8 songs: $7.92

Step-by-step explanation:

Divide to find out how much it costs for 1 song.

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Now multiply $0.99 by (number of songs)

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4 years ago

Tony bought 48 roses for $24. How much do 24 roses cost

kondor19780726 [428]

We know that:
48 roses costs $24
24 roses costs ?$
Step 1:
Use cross multiply
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Last step:
Use division
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4 years ago

Determine whether each sum, difference, product,

PIT_PIT [208]

Answer:

28. The difference represents an irrational number

29. The difference represents a rational number

30. The quotient represents a rational number

31. The quotient represents an irrational number

Step-by-step explanation:

* Lets explain how to solve the problem

- The rational number is any numbers can be put in the form of a/b,

where a and b are integers b ≠ 0

- Ex: 1 , 2/3 , 5/4 , 22/7 , 100 , ................

- The irrational number is any number that is not rational

- It is a number that cannot be written as a ratio of two integers

or cannot be expressed as a fraction

- Ex: √2 , √7 , π , ..... (π is irrational because it's approximated value)

- If the part of the the number is irrational, then the number

is irrational

- Ex: (5 + √3) , (√7 + 5) , 2√5 , √11/4 , 5/√13

* Lets solve the problems

28. $\frac{6}{23}-\frac{\sqrt{2}}{2}$

∵ √2/2 is an irrational number

∵ One term is an irrational number

∴ The difference represents an irrational number

29. $\frac{6}{23}-\frac{15}{127}$

∵ The two terms are rational numbers

∴ The difference represents a rational number

30. $\frac{6}{23}$ ÷ $\frac{15}{127}$

∵ The two terms are rational numbers

∴ The quotient represents a rational number

31. $\frac{6}{23}$ ÷ $\frac{\sqrt{2}}{2}$

∵ √2/2 is an irrational number

∵ One term is an irrational number

∴ The quotient represents an irrational number

7 0

4 years ago