9514 1404 393
Answer:
(x, y) = (5, 2)
Step-by-step explanation:
<u>Given</u>:
LP = x
MP = 2y+3
NP = y+3
KP = 3x -8
KP = MP, LP = NP
<u>Find</u>:
x, y
<u>Solution</u>:
The given relations between the segment lengths let us write two equations:
KP = MP
3x -8 = 2y +3 ⇒ 3x -2y -11 = 0 [eq1]
LP = NP
x = y +3 ⇒ x -y -3 = 0 [eq2]
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Subtracting 3 times [eq2] from [eq1] gives ...
(3x -2y -11) -3(x -y -3) = 0
y -2 = 0 . . . . . . . . simplify
y = 2 . . . . . . . . . . add 2
Substituting this value into [eq2] gives ...
x = 2 + 3 = 5
The values of x and y are ...
x = 5, y = 2
Answer:
a. So the electric guitar is sold for a sale price of $315 after the discount. The discount was 30%. Even though we get that amount off, we still pay 70% of the original price, because 100% (original price) - 30% is 70%.
b. An equation that can help us find the regular price of the item is through writing and solving a proportion. Set it up like this:
315/x = 70/100
This is because 315 is part of the whole and is 70% of the value of x.
Step-by-step explanation:
Okay. Let's solve this by cross multiplying the values. 315 * 100 is 31,500. 70 * x is 70x. That simplifies to 31,500 = 70x. Didivde each side by 70 to isolate the x. 70x/70 cancels out. 31,500/70 is 450. Let's check this by multiply the number by 70% and see what happens. 450 * 70% (0.7) is 315. There. x = 450. The regular price was $450.
Answer:
6
Step-by-step explanation:
Conquered the Macedonian Satrapies and won the Seleucid-Mauryan war.
Answer:
The bottom question is wrong. You have to multiply 8 to get the amount earned. But the rest is correct.
Step-by-step explanation:
6.25 x 8 = 50
12.5 x 8 = 100
18.75 x 8 = 150
25 x 8 = 200
31.25 x 8 = 250
