Answer:
(p,r) = (1/3, 2/9)
Step-by-step explanation:
Here, we want to solve a system of equations
We can rewrite the second equation by dividing through by 2
So we have;
4p + 3r = 2
and
5p - 3r = 1
Add both equations:
9p = 3
p = 3/9
p = 1/3
Recall ;
5p - 3r = 1
3r = 5p - 1
Substitute the value or p here
3r = 5(1/3)-1
3r = 5/3 - 1
3r = 2/3
r = 2/9
So we have the solution set as;
(p,r) = (1/3 , 2/9)
Answer:
It went down 5.5°C a minute.
Step-by-step explanation:
You have to look for the difference of 100 and 78, which is 22.
Divide the difference with the minutes (4), equalling 5.5.
Answer:
3/4
Step-by-step explanation:
pizza is cut into fourths because there are for people eating it. the brothers have 3/4 of the pizza because there are only 3 brothers
Answer:
Gale's Shipping Company Cost, y=$(3+5x)
Peeta's Shipping Cost, y=$(12+2x)
Step-by-step explanation:
Let the number of pounds being shipped=x
Gale's Shipping Company charges $3.00 plus an additional $5.00 per pound to ship a package.
Gale's Shipping Company Cost = $3.00 + ($5.00 X Number of Pounds)
Gale's Shipping Company Cost, y=$(3+5x)
Peeta's Shipping Company charges $12.00 plus an additional $2.00 per pound to ship a package.
Peeta's Shipping Cost = $12.00 + ($2.00 X Number of Pounds)
Peeta's Shipping Cost, y=$(12+2x)
Answer: A committee of 5 students can be chosen from a student council of 30 students in 142506 ways.
No , the order in which the members of the committee are chosen is not important.
Step-by-step explanation:
Given : The total number of students in the council = 30
The number of students needed to be chosen = 5
The order in which the members of the committee are chosen does not matter.
So we Combinations (If order matters then we use permutations.)
The number of combinations of to select r things of n things = 
So the number of ways a committee of 5 students can be chosen from a student council of 30 students=
Therefore , a committee of 5 students can be chosen from a student council of 30 students in 142506 ways.
