john sold 3 baskets of apples at the market. each basket contains 9 apples. how many apples did john sell? make a bar model to s
olve the problem
2 answers:
Answer:
27 apples
Explanation:
A bar model is usually defined as the representation of numbers in the form of pictures, where the numbers are shown in the bars for calculation.
The distribution of apples is shown in a bar model that is given below, where the three separate boxes represent the baskets and each of these baskets are comprised of 9 apples.
Thus, adding all the apples from the three boxes (9+9+9), it becomes 27 apples.
Therefore, John sold a total of 27 apples.
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Below I have included an image that has the measure of all of the angles on it.
We can find the measures of the angles here due to the laws about complimentary angles. A pair of complimentary angles can be formed when 2 lines are perpendicular, and when added together, will always equal 90. The pair are the angles that are not directly adjacent from each other. In this figure, "x" and "(4x-10)" are a pair. According to another law, opposite angles, or adjacent angles, will always be equal to each other. Using the logic above is how we can find the measure of all angles.
Since one angle has a box, we know the lines are perpendicular, and that the laws of complimentary angles apply. We can also use that to see that the angle diagonal from it is equal to 90.
To solve for the other measures, we need to add the 2 equations together and set them equal to 90 (because of that law we talked about before).
x+(4x-10)=90
5x-10=90
+10+10
5x=100
/5 /5
x=20
Now that we know x equals 20, we can substitute that value in and solve.
x=20
=(4x-10)
=(4*20-10)
=(80-10)
=70
We also know this is correct because 20 and 70 equal 90.
We can find the measures of the angles here due to the laws about complimentary angles. A pair of complimentary angles can be formed when 2 lines are perpendicular, and when added together, will always equal 90. The pair are the angles that are not directly adjacent from each other. In this figure, "x" and "(4x-10)" are a pair. According to another law, opposite angles, or adjacent angles, will always be equal to each other. Using the logic above is how we can find the measure of all angles.
Since one angle has a box, we know the lines are perpendicular, and that the laws of complimentary angles apply. We can also use that to see that the angle diagonal from it is equal to 90.
To solve for the other measures, we need to add the 2 equations together and set them equal to 90 (because of that law we talked about before).
x+(4x-10)=90
5x-10=90
+10+10
5x=100
/5 /5
x=20
Now that we know x equals 20, we can substitute that value in and solve.
x=20
=(4x-10)
=(4*20-10)
=(80-10)
=70
We also know this is correct because 20 and 70 equal 90.