Answer:
The value of x for equation is 3.4
The value of y for equation is 5.2
Step-by-step explanation:
Given as :
The two linear equation are
2 x + y = 12 ........A
4 x - 3 y = 2 .........B
Now, Solving both equations , we get
3 × ( 2 x + y ) + (4 x - 3 y) = 3 × 12 - 2
Or, 6 x + 3 y + 4 x - 3 y = 36 - 2
Or, (6 x + 4 x) + (3 y - 3 y) = 34
Or, 10 x + 0 = 34
∴ x = 
i.e x = 3.4
So, The value of x for equation , x = 3.4
Put the value of x into eq A
∵ 2 x + y = 12
Or, y = 12 - 2 x
Or, y = 12 - 2 × 3.4
Or, y = 12 - 6.8
∴ y = 5.2
So, The value of y for equation , y = 5.2
Hence, The value of x for equation is 3.4 and The value of y for equation is 5.2 Answer
C) (0.85 + x/100)(250+145) does not give the correct answer.
Explanation
A) works; adding the two costs together is 250+145=395. We multiply this by 0.85 because 100%-15%=85%=0.85. We also have x% tax, which is represented by x/100, added to 100% of the value, or 1.00. Altogether this gives us
395(0.85)(1+x/100) = 395(0.85 + (0.85x/100)) = 395(0.85) + 395(0.85x/100)
= 395(0.85) + 395(0.0085x)
B) works; we have 250+145 for the original price; we have 85% = 0.85 of the value; we also have 100% + x%, which is (100+x)/100.
C) does not work; (0.85+x/100)(395) does not take into consideration that you are finding the tax after taking the 85%. This will simplify out to
0.85*395 + (x/100)(395) = 335.75 + 395x/100 = 335.75 + 3.95x, which is too much.
D) works; simplifying the expression from A, we have 395(0.85) + 395(0.0085x) = 335.75 + 3.3575x.
Answer:
Step-by-step explanation:
The shaded area is the difference of the large and small squares.
<u>Area of large square:</u>
<u>Area of small square:</u>
<u>Shaded area:</u>
- A = A(l) - A(s)
- A = (y + 4)² - y² = y² + 8y + 16 - y² = 8y + 16
Answer:
98.57
Step-by-step explanation:
3.5% over 100% X 102=3.43
102-3.43= 98.57
1 kilo gram is 1000 grams. 1 gram is 1000 milligrams. Think you can solve the rest? :)
