6x + 2y = 18
2y = -6x + 18
y = -3x + 9
To solve the problem:
<span>Let f = distance one way distance on level
ground</span>
<span>
Let h = distance rode on the hill</span>
<span>
Write a time equation; where Time = distance/speed:</span>
<span>
level time + uphill time + downhill time + level time = 1hr</span>
<span>
</span>
<span>f/9 + h/6 + h/18 + f/9 = 1 hr</span>
<span>
Multiply equation by 18 to get rid of the denominators</span>
<span>
</span>
2f + 3h + h + 2f = 18
4f + 4h = 18
Simplify by dividing this by 4
<span>f + h = 4.5 miles is took her to get to Jon’s
house.</span>
3.0 NOT SURE IF ITS CORRECT
Answer:
10 cm.
Step-by-step explanation:
We'll begin by calculating the area of the small bubble. This can be obtained as follow:
Radius (r) = 5 cm
Area (A) =?
Since the bubble is circular in nature, we shall use the formula for area of circle to determine the area of the bubble. This is illustrated below:
A = πr²
A = π × 5²
A = 25π cm²
Next, we shall determine the total area of the small bubbles. This can be obtained as follow:
Area of 1 bubble = 25π cm²
Therefore,
Area of 4 bubbles = 4 × 25π cm²
Area of 4 bubbles = 100π cm²
Finally, we shall determine the radius of the large bubble. This can be obtained as follow:
Area of large bubble = total area of small bubbles = 100π cm²
Radius (r) =?
A = πr²
100π = πr²
100 = r²
Take the square root of both side
r = √100
r = 10 cm
Thus, the radius of the large bubble is 10 cm
