A tank that is 40% full contains 648 gallons of water. Use a double number line to find the maximum capacity of the water tank.

1 answer:

4 0

We know that
Double number lines are best used to visualize equivalent ratios and describe a ratio relationship between two quantities.

start with the par 40% - 648 gal and let's calculate the other missing data
to find 10%-------> multiply 648 gal by (1/4)
to find 20%-------> multiply 648 gal by (1/2)
to find 30%-------> multiply 648 gal by (3/4)
to find 50%-------> multiply 648 gal by (5/4)
to find 60%-------> multiply 648 gal by (6/4)
to find 70%-------> multiply 648 gal by (7/4)
to find 80%-------> multiply 648 gal by (8/4)
to find 90%-------> multiply 648 gal by (9/4)
to find 100%-------> multiply 648 gal by (10/4)

Here is what the numbers would look like on a number line. They are lined up.
10% 20% 30% 40% 50% 60% 70% 80% 90% 100%
162 324 486 648 810 972 1134 1296 1458 1620

the answer is
the maximum capacity is 1620 gallons of water.

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For a certain candy, 20% of the pieces are yellow, 15% are red, 20% are blue, 20% are green, and the rest are brown. a

OLEGan [10]

Answer:

Step-by-step explanation:

Based on the question we are given the percentages of each of the types of candies in the bag except for brown. Since the sum of all the percentages equals 75% and brown is the remaining percent then we can calculate that brown is (100-75 = 25%) 25% of the bag. Now we can show the probabilities of getting a certain type of candy by placing the percentages over the total percentage (100%).

Brown: $\frac{25}{100}$
Yellow or Blue: $\frac{20}{100} +\frac{20}{100} = \frac{40}{100}$ ....add the numerators

Not Green: $\frac{80}{100}$ .... since the sum of all the rest is 80%

Stiped: $\frac{25}{100}$ .... there are 0 striped candies.

Assuming the ratios/percentages of the candies stay the same having an infinite amount of candy will not affect the probabilities. That being said in order to calculate consecutive probability of getting 3 of a certain type in a row we have to multiply the probabilities together. This is calculated by multiplying the numerators with numerators and denominators with denominators.