Please solve this in 2 parts as stated... thank you!
1 answer:
Solve the equation we have that:
a. S = 3V²/ 4
b. S = 108 feet
<h3>How to solve the parameters?</h3>We have the equation to be;
V = 2√3S
Where;
- V is the speed
- S is the length
Let's make S the subject from the formula, divide both sides by 2√2S = v/ 2. Take square of both sides:
Now we need to divide both sides by three:
S = 3V²/ 4
b. If v = 12miles per hour, substituting in the equation found earlier:
S = 3 (12²)/ 4
S= 432/ 4
S = 108 feet
Thus, the formula for the length is S = 3V²/ 4
Learn more about speed here: brainly.com/question/7359669
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Answer:
25 one-dollar coins, 16 half-dollar coins, and 164 quarters
Step-by-step explanation:
First, set up equations based on the information given:
Then, substitute <em>q</em> in the first equation with the expression from the third equation:
Next, substitute <em>h</em> in that equation with the expression from the second equation:
Solve for <em>d</em>, the number of one-dollar coins:
Substitute 25 for <em>d</em> in the second equation to find <em>h</em>, the number of half-dollar coins:
Substitute 25 for <em>d</em> and 16 for <em>h</em> in the third equation to find <em>q</em>, the number of quarters:
Then, verify that the coins total $74:
Next, verify that the number of half-dollar coins is one more than three-fifths of the number of one-dollar coins:
Finally, verify that the number of quarters is four times the number one-dollar and half-dollar coins together: