Answer:
There appears to be some part of the question missing. Assuming it asks about the volume, the volume is:
Step-by-step explanation:
The volume of a right rectangular prism may be calculated using the formula:
whl, where w is width, h is height and l is length.
In this case it is hlw or (5.8*14.5*3.5) = 294.35 cubic inches.
To answer the question, let x be the number of adults going to the zoo and 2x be the number of children. The total amount gained from the ticket sales should be,
1650 = 6x + 4(2x)
The values of x is equal to 117.86. Therefore, the school bought approximately 118 tickets for adults and 236 for children.
There is a very simple way of dealing with percentages.
"increase" means add
"decrease/discount/reduce" means subtract
Now, we know that the original price is 100%.
100% = 1 (like 50% = 0.5)
So if an object's price is x and it is 20% off, we get:
100%x - 20%x
Taking x common,
x(100% - 20%)
= 0.8x
Therefore, if we fist add/subtract the percentages we can multiply directly with the original to get the answer. This is as follows:
5] Increase 101 by 16%
1 + 0.16 = 1.16
So the answer is:
101 * 1.16
= 117.16
6] Decrease 36 by 21%
1 - 0.21 = 0.79
The answer is:
36 * 0.79
= 28.44
7] Let original price be x, we know it is 35% off
1 - 0.35
= 0.65
0.65x = 13
x = 20
Answer:
Please find a visual representation of the scenario generated with MS Excel
Step-by-step explanation:
The given data on how Kylo fills up the bathtub with water are;
The time it takes to fill the bathtub with 50 gallons of water = 15 minutes
The time it takes to drain 30 gallons from the bathtub = 5 minutes
The time it takes to add 5 gallons of hot water = 2 minutes
The time it takes for all the water to drain out = 4 minutes
The given scenario can be represented visually on the coordinate plane, as follows;
The y-axis represents the amount of water in the bathtub in gallons
The x-axis represents the time from the when Kylo begins to fill the bathtub
The coordinates of points in the visual representation of the given scenario are therefore;
At the start, the bathtub is empty;
y = 0, x = 0
Then we have;

Plotting the number of gallons and the cumulative time values on MS Excel gives a visual representation of the scenario
Answer:
Part I : 100°
Part II : a = 29.2
Part III : b = 20.95
Step-by-step explanation:
See the attached diagram of the triangle.
Part I: ∠ A = 180° - ∠ B - ∠ C = 180° - 45° - 35° = 100°
Part II: Now, applying the law of sines, we have
⇒
⇒
⇒ a = 29.2 (Answer)
Part III: Now, applying law of cosine, we have
b = a cos 35° + c cos 100° = 29.2 cos 35° + 17 cos 100° = 20.95 (Answer)