Answer: k = $0.50
Step-by-step explanation:
The data that we have is:
Rocko paid: $12.50 for 25 tickets.
Louisa paid: $17.50 for 35 tickets.
Now, the question asks to find the constant of proportionality.
A proportional relation can be written as:
y = k*x
where k is the constant, and in this case, y is the price and x the number of tickets bought.
Then replacing with the values above, we have:
$12.50 = k*25
then:
k = $12.50/25 = $0.50
And the other data:
$17.50 = k*35
K = $17.50/35 = $0.50
So we have the same k in both cases, this means that the constant of proportionality is k = $0.50
<span>6=<span>s+348
</span></span>flip thou equation.
<span><span>s+348</span>=6
</span>subtract 348 from both sides.
<span><span><span>s+348</span>−348</span>=<span>6−348
</span></span><span>s=<span>−<span>342
c:</span></span></span>
If there is 20 stripes total, that means that the pattern can go through the a full cycle (2 green stripes, 3 blue stripes, and 1 yellow stripe) 3 times. Making that 3 blue stripes x 3 times through the cycle.
Which means 9 blue stripes.
<h3>The sprinkler can spread the water 13 feet away from it.</h3>
<em><u>Solution:</u></em>
Given that,
The area formed by the watering pattern is 530.66 square feet
<em><u>The area of circle is given as:</u></em>
Where, "r" is the radius
Thus radius is 13 feet
The water is being sent out in circular pattern
The maximum distance at which the water is reaching out will be equal to the radius of the circle as the sprinkler is at the center of the circle.
So the sprinkler can spread the water 13 feet away from it.