Answer:
10 2/3
Step-by-step explanation:
So in order to figure this out you have to work backwards. First, Daniel came and took a cookie. So when he took 1 there were 3 cookies available. Next Christine took one fourth of the cookies, meaning that the 3 available cookies are the remaining 3/4's. When she got there she took 1. Then Beth came and took 1/3. For it to be 3/3 there has to be 1 and 1/3 more cookies. Now there are 5 and 1/3 cookies. Amanda came and ate half of the cookies meaning that the amount of cookies we have now is the other half that she didnt eat. 5 and 1/3 plus 5 and 1/3 is 10 and 2/3. I hope this is correct.
Answer: 5n = 3d and 3n + 6 = 2d + 4
Given that the numerator and denominator of a fraction are in the ratio of 3 to 5. When the numerator and denominator are both increased by 2, the fraction is equal to \dfrac{2}{3}.
We are to select the system of equations that could be used to solve the problem.
Since n denotes the numerator and m denotes the denominator of the given fraction, so we have:
n/d = 3/5
5n = 3d
<h3>and</h3>
(n+2)/(d+2) = 2/3
3(n+2) = 2(d+2)
3n + 6 = 2d + 4
Thus, the required system of equations is,
5n = 3d and 3n + 6 = 2d + 4
Brainliest pweaseee if the answer is clear and correct! <3 ~~~
Answer:
8² = 4² + 5² - 2(4)(5) cos(P)
which is the third option
Explanation:
The general rule of cosine is:
a² = b² + c² - 2bc*cos(A)
In our triangle:
a is substituted by p = 8 cm
b is substituted by n = 4 cm
c is substituted by m = 5 cm
A is substituted by P which we want to find
Replace the variables in the general equation with the givens as follows:
p² = n² + m² - 2mn*cos(P)
8² = 4² + 5² - 2(4)(5) cos(P)
Hope this helps :)
Answer:
i hope this helps! :)
Step-by-step explanation:
1.) 130
2.) 56
3.) 5
4.) 10
5.) 24
6.) 91
