Answer:
3/8 hours
Step-by-step explanation:
distance=speed/time=120/4=30km
time=distance/speed=30/80=3/8
Step-by-step explanation:
2x - 5 = y - 5
2x = y
x = y/2
y - 3 = x + 1
Substitute the value of x here,
y - 3 = 
y - 3 = 
2y - 6 = y + 2
y = 8
Now, x = 8/2
x = 4
So, go for D part, it is the correct answer.
Good Night/Day !
Answer:the orginal price of the tennis racket is $47
Step-by-step explanation:
Let x represent the original price of the tennis racket at the sports store.
Leah has a 20% off coupon for the sports store. The tennis racket is available at a discount of 10%.
The store applies the coupon after the 10% is taken. The value of the discount on the original price of the tennis racket would be
10/100 × x = 0.1 × x = $0.1x
The discounted price of the racket would be
x - 0.1x = 0.9x
The value of the coupon would be
20/100 × 0.9x = 0.2 × 0.9x = 0.18x
The selling price after the coupon was applied would be
0.9x - 0.18x = 0.72x
She buys the racket for $34. This means that
0.72x = 34
x = 34/0.72 = $47
Answer:
16π ≈ 50.27 square units
Step-by-step explanation:
The equation is that of a circle of radius 4. The area of a circle is given by ...
A = πr²
A = π(4²) = 16π ≈ 50.27 . . . . square units
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The equation can be put into the standard form for a circle to find its radius.
(x^2 -2x) +(y^2 +6y) = 6 . . . . collect variable terms on the left
(x^2 -2x +1) +(y^2 +6y +9) = 6 + 1 + 9 = 16 . . . . . complete the squares
(x -1)^2 +(y +3)^2 = 4^2 . . . . . the radius is 4
Compare to the form ...
(x -h)^2 +(y -k)^2 = r^2 . . . . circle of radius r centered at (h, k)