−10x+5y=10
x−5y=−28
Rewrite equations:
x−5y=−28
−10x+5y=10
Step: Solve:
x−5y=−28
x−5y+5y=−28+5y(Add 5y to both sides)
x=5y−28
Step: Substitute:
−10x+5y=10
−10(5y−28)+5y=10
−45y+280=10(Simplify both sides of the equation)
−45y+280+−280=10+−280(Add -280 to both sides)
−45y=−270
−45y
−45
=
−270
−45
(Divide both sides by -45)
y=6
Step: Substitute:
x=5y−28
x=(5)(6)−28
x=2(Simplify both sides of the equation)
Answer:
x=2 and y=6
Answer:
Step-by-step explanation:
You can represent Morgan's scenario with the expression, 25w + 615, and you can represent Kendall's scenario with the expression, 15w + 975. To find out when they both have the same amount of money in their accounts, you set them equal to each other and solve for w:
25w + 615 = 15w + 975
25w = 15w + 360
10w = 360
w = 36
Morgan and Kendall will have the same amount of money after 36 weeks.
Answer:
27
Step-by-step explanation:
cuz 29 - 4 - 2 = 27
Answer:
ASA and AAS
Step-by-step explanation:
We do not know if these are right triangles; therefore we cannot use HL to prove congruence.
We do not have 2 or 3 sides marked congruent; therefore we cannot use SSS or SAS to prove congruence.
We are given that EF is parallel to HJ. This makes EJ a transversal. This also means that ∠HJG and ∠GEF are alternate interior angles and are therefore congruent. We also know that ∠EGF and ∠HGJ are vertical angles and are congruent. This gives us two angles and a non-included side, which is the AAS congruence theorem.
Since EF and HJ are parallel and EJ is a transversal, ∠JHG and ∠EFG are alternate interior angles and are congruent. Again we have that ∠EGF and ∠HGJ are vertical angles and are congruent; this gives us two angles and an included side, which is the ASA congruence theorem.
Okay, to solve this we simply find 75% of the carton of paper, because 100%-25% = 75%
0.75(27) = 20.25
The carton of paper costs $20.25
