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4 years ago

Which is bigger? 30% or 1/3?

1 answer:

8 0

Convert them to comparable thingummys

convert to fraction

percent means parts out of 100
30%=30/100=3/10

3/10 vvs 1/3
make bottom number 30

3/10 times 3/3=9/30

1/3 times 10/10=10/30
10/30>9/30

1/3 is bigger

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3 years ago

In Jamie's class, 1/5 of the students are boys. What percent of the students in Jamie’s class are boys?

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Answer:

The percentage of boys students in Jamie's class is 20 %

Step-by-step explanation:

Given as :

The total number of boys in the Jamie's class = $\frac{1}{5}$ of the total student

Let the total number of student's in the class = x

So, The number of boys = $\frac{1}{5}$ × x

I.e The number of boys = $\dfrac{x}{5}$

So , in percentage the number of boys students in class = $\dfrac{\textrm Total number of boy student}{\textrm Total number of students}$ × 100

OR, % boys students = $\dfrac{\dfrac{x}{5}}{x}$ × 100

or, % boys students = $\frac{100}{5}$

∴ % boys students = 20

Hence The percentage of boys students in Jamie's class is 20 % . Answer

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3 years ago

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Find the great common factor of 33, 63, and 90.

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Answer:

GCF is 3

Step-by-step explanation:

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3 years ago

Your bakery is in a large shopping center. The entire shopping center is 4,500 square feet. Your bakery takes up only 1/10 of th

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4 years ago

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A village was founded four hundred years ago by a group of 20 people. In this village, the population triples every one hundred

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Answer:

Step-by-step explanation:

Treat this like compound interest: Use A = P(1 + r)^t.

Here, P is the initial population and A is 3 times that, or 3P. Since P = 20 people, 3P = 60 people,

and this population is reached after 100 years.

We need to determine r, substitute its value into the formula A = P(1 + r)^t, and then determine the population of the village after 400 years.

60 = 20(1 + r)^100

Simplifying, 3 = (1 + r)^100.

Taking the natural log of both sides,

ln 3 = 100 ln (1 + r), or

ln 3

ln (1 + r) = ---------------

100

= 1.0986 / 100 = 0.01986

We must solve this for r. Raising e to the power ln (1 + r), on the left side of an equation, and raising e to the power 0. 01986 on the right side, we get:

1 + r = 3, so r must = 2.

Now find the pop of the village today. Use the same equation: A = P (1+r)^t.

A = 20(1 +2)^4 (hundreds),

A = 20(3)^4, or

A = 81

The population after 400 years is 81.

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3 years ago