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3 years ago

How are percentages different from fractions and decimals?

2 answers:

5 0

Percentages are different from fractions and decimals because percents are limited to being per 100, whereas fractions and decimals can be in any place. for example, a fraction can be 1/2 and a decimal can be 3.7265432981. There is no limit to the place for decimals and fractions, but percentages are limited to the hundredths place. I hope that helps :)

lozanna [386]3 years ago

4 0

Percentage is out of 100....it can maximum upto 100%
whereas fraction is a rational term....

percentage can be conveted in fraction.. for eg. 25 % is equivalent to 1/4 fraction

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Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min, and its coarseness is such that it forms a pile in the shap

11Alexandr11 [23.1K]

Answer:

0.25 feet per minute

Step-by-step explanation:

Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min. Since we are told that the shape formed is a cone, the rate of change of the volume of the cone.

$\dfrac{dV}{dt}=20$ ft^3/min$

$\text{Volume of a cone}=\dfrac{1}{3}\pi r^2 h$

Since base diameter = Height of the Cone

Radius of the Cone = h/2

Therefore,

$\text{Volume of the cone}=\dfrac{\pi h}{3} (\dfrac{h}{2}) ^2 \\V=\dfrac{\pi h^3}{12}$

$\text{Rate of Change of the Volume}, \dfrac{dV}{dt}=\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}$

Therefore: $\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}=20$

We want to determine how fast is the height of the pile is increasing when the pile is 10 feet high.

$h=10$ feet$\\\\\dfrac{3\pi *10^2}{12}\dfrac{dh}{dt}=20\\25\pi \dfrac{dh}{dt}=20\\ \dfrac{dh}{dt}= \dfrac{20}{25\pi}\\ \dfrac{dh}{dt}=0.25$ feet per minute (to two decimal places.)$

When the pile is 10 feet high, the height of the pile is increasing at a rate of 0.25 feet per minute

5 0

3 years ago

Jack has twice as many dimes as quarters. If the total value of the coins is $6.30, how many dimes does he have?

ycow [4]

Answer:

Number of dimes = 28

Step-by-step explanation:

Given that:

Worth of coins = $6.30 = 6.30 * 100 = 630 cents

Let,

x be the number of dimes

y be the number of quarters

According to given statement;

x = 2y Eqn 1

10x+25y = 630 Eqn 2

Putting x = 2y in Eqn 2

10(2y) + 25y = 630

20y + 25y = 630

45y = 630

Dividing both sides by 45

$\frac{45y}{45}=\frac{630}{45}\\y=14$

Putting y=14 in Eqn 1

x = 2(14)

x = 28

Hence,

Number of dimes = 28

4 0

2 years ago

maria purchased a new jacket for 78.12. the orginal price of the jacket was discounted 20% and Maria had to pay 5% sales tax. wh

prohojiy [21]

20 percent of the discount minus 5 percent sales tax equals to 15 percent.
know calculate the 15 percentage out of 78,12 so x on 78,12 equals to 20 on 100 so 78,12 equals to 100 percent and x equals to 15 percent so 78,12 times 15 divided by 100 is 15 percent or the number you found discount and and sales tax combined know you substact 15 percent out of your original price.

7 0

2 years ago

Over a period of 3 hours, the outside temperature changed an average of -2.250 Fahrenheit per hour. Which statement correctly de

Leona [35]

Answer: A

Step-by-step explanation: The question states that the change wasn't a positive one, it was a negative one as it states that the temperature changed an average of -2.250 Fahrenheit per hour. So, we multiply that by 3 to get -6.75. This is why A is correct.

7 0

1 year ago

Please help ASAP 40 PTS

umka21 [38]

Answer:

Step-by-step explanation:

The angle not marked in the top triangle is 40 degrees since it is an isosceles triangle. That makes the angle opposite it in the other triangle 40 degrees since they are vertical angles and vertical angles are equal.

The bottom triangle has 3 angles that sum to 180 degrees, The other angle not marked is also y since it is an isosceles triangle.

40 + y +y = 180

Subtract 40 from each side and combine like terms

40-40 +2y = 180-40

2y = 140

Divide by 2

2y/2 = 140/2

y = 70

3 0

3 years ago

Read 2 more answers