Answer: a package of cookies cost $ 5 and each bag of chips cost $5
Step-by-step explanation:
Let x represent the cost of a package of cookies and y represent the cost of a bap of chips ,then from the first statement :
4x + 4y = 40
dividing through by 4 , we have
x + y = 10 ........................... equation 1
From the second statement
3x + 5y = 40 ..................... equation 2
Solving the system of linear equation by substitution method , from equation 1 , make x the subject of the formula , that is
x = 10 - y ................... equation 3
substitute x = 10 - y into equation 2 , we have :
3 (10 - y ) + 5y = 40
30 - 3y + 5y = 40
30 + 2y = 40
subtract 30 from both sides
2y = 40 -30
2y = 10
y = 5
substitute y = 5 into equation 3 , equation 3 becomes
x = 10 - 5
x = 5
Therefore ; a package of cookies cost $ 5 and each bag of chips cost $5
We are given

Firstly, we will factor numerator and denominator

Restrictions:
we know that denominator can not be zero
so, we can set denominator =0
and solve for k to get restrictions


Simplification:

we can see that k+1 gets cancelled
so, we get
..........Answer
Answer:
Step-by-step explanation:
Whether you’re job searching, working on your professional development, or building your career, you’ve probably been in a situation that warranted showing appreciation and gratitude. Perhaps you received a job lead and a pep talk from a former colleague. Maybe you had an informational interview with someone who has now taken you under their wing and is serving as a mentor. It might even be a family member who’s your greatest fan. Whatever the situation, one way to show gratitude is to write a thank-you note that expresses your appreciation.
Answer:
Yes, it is a right triangle.
Step-by-step explanation:
a^2+b^2=c^2
The longest side is the hypotenuse so c^2 would be 90.
72^2+54^2=90^2
72 and 54 can be either a or b.
Solve for all exponents: 5184+2916=8100.
That equation is true, so the triangle is a right triangle.