Let x = the total cost of gas, dollars.
Originally, each of the three friends was to pay x/3 dollars each.
Finally, with two more friends added, the cost became x/5 dollars each.
The savings for each of the original three friends is $11, therefore
x/3 - x/5 = 11
(2x)/15 = 11
x = (11*15)/2 = $82.50
Answer: The total cost of gas is $82.50
The similar circles P and Q can be made equal by dilation and translation
- The horizontal distance between the center of circles P and Q is 11.70 units
- The scale factor of dilation from circle P to Q is 2.5
<h3>The horizontal distance between their centers?</h3>
From the figure, we have the centers to be:
P = (-5,4)
Q = (6,8)
The distance is then calculated using:
d = √(x2 - x1)^2 + (y2 - y1)^2
So, we have:
d = √(6 + 5)^2 + (8 - 4)^2
Evaluate the sum
d = √137
Evaluate the root
d = 11.70
Hence, the horizontal distance between the center of circles P and Q is 11.70 units
<h3>The scale factor of dilation from circle P to Q</h3>
We have their radius to be:
P = 2
Q = 5
Divide the radius of Q by P to determine the scale factor (k)
k = Q/P
k = 5/2
k = 2.5
Hence, the scale factor of dilation from circle P to Q is 2.5
Read more about dilation at:
brainly.com/question/3457976
Answer:
1.07
Step-by-step explanation:
because 13 divided by 13.91 is 1.07
Answer: 38.25
Step-by-step explanation: You divide the whole number by the denominator in the fraction.
153/4 = 38.25
The result can be shown in both exact and decimal forms.Exact Form:<span><span>−<span>14</span></span><span>-<span>14</span></span></span>Decimal Form:<span>−<span>0.25
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