USING YOUR MATH 5. Of the 56 blueberries that Jono picked, two-sevenths of them weren't ripe. Fill in the tape diagram below and determine how many of the blueberries weren't ripe.?
To determine how many blueberries were not ripe, we need to find two-sevenths of 56.
We can set up a tape diagram to represent the 56 blueberries.
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|_____R__________________|
The 'R' represents the part that is not ripe. Since two-sevenths of the blueberries are not ripe, we can divide the tape diagram into seven equal parts and shade in two parts.
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| R R |
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|_____R_____|
Counting the shaded sections, we see that there are 2 shaded sections representing the blueberries that were not ripe. Therefore, 2 out of the 56 blueberries were not ripe.
To fill in the tape diagram, we need to divide it into seven equal parts since there are seven total groups in the problem. Then, we color in two of the parts to represent the blueberries that weren't ripe.
[ x x o o o o o ]
In the diagram above, each "x" represents a ripe blueberry, and each "o" represents a blueberry that wasn't ripe.
From the diagram, we can see that there are 2 parts that are colored in, so the number of blueberries that weren't ripe is 2 out of the total 7 parts.
To determine how many blueberries that weren't ripe, we can set up a proportion:
2 out of 7 = x out of 56
Cross-multiplying, we get:
2 * 56 = 7 * x
112 = 7x
Dividing both sides of the equation by 7, we find:
x = 112/7
x = 16
Therefore, 16 of the blueberries weren't ripe.
To fill in the tape diagram, we need to understand the given information. We are told that out of the 56 blueberries that Jono picked, two-sevenths of them weren't ripe.
To determine the number of blueberries that weren't ripe, we can follow these steps:
Step 1: Identify the total number of blueberries picked
The total number of blueberries that Jono picked is given as 56.
Step 2: Calculate two-sevenths of the total
To find two-sevenths of a number, we divide the total by 7 and then multiply the result by 2.
So, (2/7) * 56 = (2 * 56)/7 = 112/7 = 16.
Step 3: Fill in the tape diagram
A tape diagram is a visual representation that helps us understand and represent relationships between quantities. In this case, we need to represent the ripe and unripe blueberries. Let's use the tape diagram below:
[----------------------------------------][------]
The entire tape represents the total number of blueberries picked, which is 56. We divide the tape into seven equal parts to represent the seven parts in the whole. Each part represents seven blueberries.
Now, the two-sevenths of the blueberries weren't ripe, so we fill in two parts on the tape representing the unripe blueberries.
[----------------------------------------][######]
The filled parts (denoted by "#") represent the blueberries that weren't ripe. We can count the number of filled parts to determine the quantity. In this case, there are 16 filled parts, indicating that 16 blueberries weren't ripe.
Therefore, the answer is that 16 of the blueberries weren't ripe.