Answer:
Ratio is 1:5; there are 5 times more blue marbles so there should be 10 blue marbles
Step-by-step explanation:
7:35 creates a 1 green marble to every 5 blue marbles ratio. So for every green marble there are 5 blue marbles. If you have 2 green marbles then you have 5+5 blue marbles
First you find a common denominator, which is 12 ( as 4,3 and 6 all go into 12). So 2/4 becomes 6/12, as 4 multiplied by 3 is 12 and whatever you do to the denominator you must do to the numerator. Then 2/3 becomes 8/12. And 2/6 becomes 4/12. If you put these in order the answer is:
2/6, 2/4, 2/3
Answer: A. Ounces of water consumed compared with the number of same-size bottles drunk
Step-by-step explanation:
When a quantity changes uniformly with respect to the change of other quantity, then we say there is a constant rate of change.
Thus, if one quantity is directly proportional to the other quantity then there is constant rate of change.
A. Ounces of water consumed is directly proportional to the number of same-size bottles drunk. Hence there is a constant rate of change of ounces water with respect to the number of same-sized bottles.
Rest of other options do not have directly proportionality relation between the quantities.
Answer:
196 ft
Step-by-step explanation:
Bc im guessing
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Answer:
x = 10 - 10sqrt(3)/3
Approximately 4.2265 cm
Volume = 1539.6 cm³
Step-by-step explanation:
Let the height be x
V = (20 - 2x)(40 - 2x)x
V = (800 - 80x - 40x + 4x²)x
V = 4x³ - 120x² + 800x
dV/dx= 12x² - 240x + 800 = 0
3x² - 60x + 200 = 0
x = [60 +/- sqrt(60² - 4(3)(200))]/6
x = [30 +/- 10sqrt(3)]/3
x = 10 +/- 10sqrt(3)/3
Approximately,
15.7735 and 4.2265
d²V/dx² = 24x - 240
For max, d²V/dx² < 0
So, x = 4.2265
V = (20 - 2x)(40 - 2x)x
Plug in x = 10 - 10sqrt(3)/3
V = 1539.600718
