Answer:
x = 7 / 2
Step-by-step explanation:
5(2x - 9) + 3 = -7 ---------- subtract 3 from both sides
5(2x - 9) + 3 - 3 = -7 - 3
5(2x - 9) = -10 ------ divide both side by 5
2x - 9 = -2 ---------- add 9 to both sides
2x - 9 + 9 = -2 + 9
2x = 7
x = 7 / 2
Answer:
3.4
Step-by-step explanation:
Let the original price of the bag be = P, the selling price =2.89 after a 15% discount,
Then, Selling price= Original price- Discount on original price
Thus, the original price was 3.4.
.45x+.55x=200
Combine like terms
1x=200
So x is 100
Or you can do 45%+55%=100%
And 100% of 200 is 200
You would do 69sq×3.1416. that gives you 14,957.1576 round it to the nearest hundreth, 14,957.16
9514 1404 393
Answer:
D. x = 15; y = 5√3
Step-by-step explanation:
You don't need to know any trig to select the correct answer. You only need to know that the lengths of both sides must be less than the length of the hypotenuse. It is also helpful to know that √3 is about 1.732, so 10√3 ≈ 17.32.
Since x < 10√3, only answer choices A and D are viable.
Since y < 10√3, only answer choice D is viable.
_____
If you want to solve this using trig relations, you can recall that the sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. This means short side y is half the length of the hypotenuse 10√3, so y = 5√3. It also means longer side x is √3 times y, so is x = (5√3)√3 = 5·3 = 15.
x = 15; y = 5√3
