The total amount of x values of dimes and q values of quarters is equal to 6.35. From the given, the number of dimes may also be expressed as, 3q + 3. The equation that best represent the given is,
(3q + 3)(0.1) + q(0.1) = 6.35
Let us first note down all the information's that are given in the question.
Radius of the snow cone = 4 inches
Height of the snow cone = 6 inches
Diameter of the bubble gum = 0.8 inches
Then
Radius of the bubble gum = 0.4 inches
Now
Volume of the come = 1/3 * pi * (radius)2 * height
= 1/3 * 3.14 * (4) ^2 * 6
= 3.14 * 16 * 2
= 100.48 cubic inches
Again
Volume of the sphere = (4/3) * pi * (radius)^3
= (4/3) * 3.14 * (0.4)^3
= (4/3) * 3.14 * 0.064
= 0.2679 cubic inches
Volume of the cone
that can be filled with flavored ice = 100.48 - 0.27
= 100.21 cubic inches
The correct option among all the options that are given in the question is option "d".
Considering the least common factor of 15 and 18, it is found that they will depart from the central station at the same time at 11 AM.
<h3>How to find the time it takes for periodic events to repeat at the same time?</h3>
To find the time that passes between the events happening at the same time, we need to find the least common multiple of the periods.
In this problem, the periods are of 15 and 18, hence their lcm is found as follows:
15 - 18|2
15 - 9|3
5 - 3|3
5 - 1|5
1 - 1
Hence:
lcm(15,18) = 2 x 3 x 3 x 5 = 90 minutes.
They will depart from the central station at the same time in 90 minutes from 9:30 AM, hence at 11 AM.
More can be learned about the least common factor at brainly.com/question/16314496
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The formula for simple interest is <em>I</em> = <em>prt</em>, where <em>I</em> is the amount of interest, <em>p</em> is the principal borrowed, <em>r</em> is the interest rate written as a decimal number, and <em>t</em> is the amount of time in years. First we find the amount of interest. He borrowed $35000 but paid back $46375. That means he paid 46375-35000 = $11375 in interest. We can now substitute our information into our interest formula:
11375=35000(<em>r</em>)(5)
11375=35000(5)(<em>r</em>) ----- remember that multiplication is commutative
11375=175000<em>r</em>
Divide both sides by 175000 to cancel it:
11375/175000 = 175000<em>r</em>/175000
0.065 = <em>r</em>
To convert this to a percentage, we multiply by 100:
0.065(100) = 6.5%
