Number that has only two whole number factors. It can be divided evenly by only two numbers

Lorenzo recorded the favorite food of students in his class. According to the results of the survey, what percent of the student

nalin [4]

Answer:

30%

Step-by-step explanation:

Before starting to solve this question we have to understand the following. 1% is equal to one hundredth of something whole, and can be write as $\frac{1}{100}$ .

Now in order to solve this question we will first have to find a fraction that represent how much student out of the whole class choose hamburgers. We can easily find this fraction since the numerator of the fraction will be equal to the number of people that choose hamburgers and the denominator will be equal to the number of all students in the class. So we get......

$\frac{12}{8 + 12 + 14+6} = \frac{12}{40} = \frac{3}{10}$

Now in order to find out what percentage will this fraction equal to we will have make a fraction with the same value but with a denominator being 100. To do that we will have to understand the following......

$\frac{a}{b} = \frac{am}{bm}$ (m is any number except 0)

The main I idea of this rule is that if we multiply the numerator and the denominator by the same number (any number except 0) we will get a fraction with the same value but with a different denominator and numerator.

So in our case we we do the following.........

(multiply both numerator and the denominator by 10 and we get...)

$\frac{3}{10} = \frac{(3)(10)}{(10)(10)} = \frac{30}{100}$

Now if we go back to what I said at the start of my explanation we will understand that another way of writing down $\frac{30}{100}$ is 30%.

4 0

2 years ago

A light bulb consumes

nasty-shy [4]

9900 watts-hours is how much it consumes in a period of 5 days and 12 hours.............to check this: multiply 1800 by 5 and it equals 9000 then you divide 1800 by 2 because 12hours is a half day and it is 900 after all that you add 9000+900 and it equals 9900

6 0

2 years ago

Read 2 more answers

Sec theta - Csc theta / (csc theta)(sec theta)

Sophie [7]

Answer:

sin(x)-cos(x)

Step-by-step explanation:

$\frac{\frac{1}{cos(x)} - \frac{1}{sin(x)} }{\frac{1}{sin(x)} * \frac{1}{cos(x)} }$

Simplify the denominator:

$\frac{\frac{1}{cos(x)} - \frac{1}{sin(x)} }{\frac{1}{cos(x)sin(x)} }$

Simplify the numerator:

$\frac{{\frac{2(sin(x)-cos(x))}{sin(2x)} } }{\frac{1}{sin(x)} * \frac{1}{cos(x)} }$

Divide the fractions: (a/b)/(c/d) = (a * d)/(b * c):

$\frac{(-cos(x)+sin(x))*2cos(x)sin(x)}{sin(2x)}$

Use the identity: 2cos(x)sin(x) = sin(2x):

$\frac{sin(2x)(-cos(x)+sin(x))}{sin(2x)}$

Cancel out the common factor (sin(2x)):

-cos(x) + sin(x)

Simplify:

sin(x) - cos(x)

3 0

2 years ago

Read 2 more answers

Write and equivalent expression to the expression below (17x93) (17x97)

mart [117]

(17 * 93) ^ 2 = 1581

6 0

3 years ago

Read 2 more answers

The price of a mountain bike increased by 20% in the past year the value is $150 what was the value of the mountain bike last ye

n200080 [17]

I hope I am reading the problem right: The price of a mountain bike increased by 20% in the past year. The value is $150. What was the value of the mountain bike last year?

Let's simplify this. One year, there was this radical mountain bike that used to have an unsaid price, x. That year, that price of x increased by 20% more than it was before, or 120% times the original value. Because of that, it's now $150.

We can equation this.

1.20x = 150

x = 150/1.2

x = 125

The bike, I believe, cost $125 last year. Hope this helps!

8 0

2 years ago