Which of the following represents the relationships shown in the bar diagram? Select all that apply.
A bar diagram is divided into 3 parts. Two parts are labeled a, and 1 part is labeled 45. Together the 3 parts are equal to 195.
A.
45
+
195
=
a
B.
a
+
a
+
195
=
45
C.
a
+
a
+
45
=
195
D.
45
+
(
2
×
a
)
=
195
E.
45
×
(
2
×
a
)
=
195
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To determine which of the given options represents the relationships shown in the bar diagram, let's break down the information and analyze each option:
The bar diagram is divided into three parts: two parts labeled "a" and one part labeled "45." We are told that the sum of these three parts is equal to 195.
Option A: 45 + 195 = a
This equation suggests that the sum of 45 and 195 is equal to "a." However, the information from the bar diagram tells us that there are two parts labeled "a." Therefore, option A does not represent the relationships shown in the bar diagram.
Option B: a + a + 195 = 45
This equation suggests that the sum of two parts labeled "a" and 195 is equal to 45. However, from the bar diagram, we know that the sum of the three parts is equal to 195, not 45. Therefore, option B does not represent the relationships shown in the bar diagram.
Option C: a + a + 45 = 195
This equation suggests that the sum of two parts labeled "a" and 45 is equal to 195. This aligns with the information given in the bar diagram because the sum of the three parts is indeed equal to 195. Therefore, option C represents the relationships shown in the bar diagram.
Option D: 45 + (2 x a) = 195
This equation suggests that the sum of 45 and two times "a" is equal to 195. However, from the bar diagram, we can see that there are only two parts labeled "a." Therefore, option D does not represent the relationships shown in the bar diagram.
Option E: 45 x (2 x a) = 195
This equation suggests that the product of 45 and two times "a" is equal to 195. However, there is no information in the bar diagram that suggests a multiplication relationship. Therefore, option E does not represent the relationships shown in the bar diagram.
In summary, option C represents the relationships shown in the bar diagram because it correctly states that the sum of two parts labeled "a" and 45 is equal to 195.