Answer: Yes, a triangle can have sides of those lengths.
Step-by-step explanation:
Answer:
Dividing each part into 10 and then summing the results up, is equivalent to dividing 89.5 into 10.
Step-by-step explanation:
This example refers to the Distributive Property of the division, which is valid when the dividend is decomposed.
A simple example could be: 400 ÷ 10 = (200 ÷ 10) + (200 ÷ 10)
In the exposed example we know that 89.5 = 80 + 9 + 0.5.
(80/10) + (9/10) + (0.5/10) =
8 + 0.9 + 0.05=
8.95
89.5/10 = 8.95
Just do 5 1/5 divided by 1 2/5
9514 1404 393
Answer:
Step-by-step explanation:
When the 12-cup bag of sugar is divided evenly, each baker gets 6 cups.
There is no dot on Noah"s graph for 6 cups of sugar, so you have to extrapolate the given set of dots to see where it might be. You notice that each dot is 1/2 cup of flour more than the one to its left, so you expect that Noah will use 3 cups of flour for 6 cups of sugar.
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Similarly, the table for Lin does not have an entry for 6 cups of sugar. Again, the next entry can be figured using the relations between previous entries. Here, each row for sugar goes up by 1 1/2 cups, so the next row would be 4 1/2 + 1 1/2 = 6 cups. And the rows for flour go up by 1 cup, so the next row for flour (for 6 cups of sugar) would be 4 cups of flour.
Lin will use 4 cups of flour for 6 cups of sugar.
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<em>Alternate solution</em>
The relationship are proportional in both cases, so you can read the value for a smaller amount (2 cups or 3 cups of sugar), then multiply the value by an appropriate multiplier (3 or 2) to get the number of cups of flour for 6 cups of sugar.
Noah: 1 flour for 2 sugar ⇒ 3 flour for 6 sugar
Lin: 2 flour for 3 sugar ⇒ 4 flour for 6 sugar
Since b = 3 the equation changes
5a - 10(3) = 45
5a - 30 = 45
(Add 30 to both sides)
5a = 75
Divide 5 to both sides
a = 15
