Answer:
20 is 10% of 200
Step-by-step explanation:
We have, 10% × x = 20
or,
10
100
× x = 20
Multiplying both sides by 100 and dividing both sides by 10,
we have x = 20 ×
100
10
x = 200
If you are using a calculator, simply enter 20×100÷10, which will give you the answer.
Answer:
See image
Step-by-step explanation:
It helps a lot to draw a triangle. Sin is OPPOSITE/ HYPOTENUSE. You can use Pythagorean thm to find the third side. Then use cos = ADJ/HYP
tan = OPP/HYP
Then, find reciprocal functions. Reciprocal just means you are flipping the ratios over.
csc = HYP/OPP
sec = HYP/ADJ
tan = ADJ/OPP
The only tricky remaining part is that you cant leave a radical (the square root symbol) on the bottom of a ratio. So you have to fix those. See image.
Answer: First option
12 candy bars were sold
Step-by-step explanation:
Call x the amount of candy sold and call z the amount of cookies sold. Then we know that

We also know that candy bars sell for $ 3 and cookies sell for $ 5. The profit was $ 76
So:

To find the quantity of candy bars sold we must solve the system of equations:

Multiply the first equation by -5 and add it to the second equation

+

--------------------------------

Answer:

Step-by-step explanation:
We must write the function of the line in the form 
First calculate the slope m



Then

To have b replaced a point in the function

Finally the function is

Answer:
a. 4 : 1
b. 2 students
c. 3 : 1
Step-by-step explanation:
a. There were 12 students who got a C and 3 students who got As. The ratio is therefore:
12 : 3
Take it to the lowest form by dividing both sides by 3:
= 4 : 1
b. There were 4 students with a D grade and 8 with a B. The ratio is:
= 4 : 8
Taken to the lowest form that would be:
= 1 : 2
This means that for every student receiving a D, 2 students received an A.
c. 12 students received a C and 4 students received a D. That ratio is therefore:
= 12 : 4
Take to the lowest form by dividing both sides by 4:
= 3 : 1