Exactly one activity:
246None of the activities :
1At least one activity:
74Snowboarding and Ice skating but not skiing:
5Snowboarding or ice skating but not skiing:
132.
Only skiing :
119.
The diagram is in the attachment.
<h3>
Answer: 12 & 2/3 km per hour</h3>
In decimal form, this is approximately 12.667 km per hour.
As an improper fraction, 12 & 2/3 = 38/3
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Explanation:
Let's use this formula
a & b/c = (a*c+b)/c
to convert the given mixed number to an improper fraction.
3 & 1/6 = (3*6+1)/6
3 & 1/6 = 19/6
The mixed number 3 & 1/6 is the same as the improper fraction 19/6
The hamster runs 19/6 km in 1/4 of an hour.
We can express that as the ratio
19/6 km : 1/4 hr
Multiply both parts by 4 so that the "1/4 hr" turns into "1 hr"
19/6 km : 1/4 hr
4*19/6 km : 4*1/4 hr
76/6 km : 1 hr
38/3 km : 1 hr
Harvey runs 38/3 km in 1 hour
Let's convert that to a mixed number
38/3 leads to a decimal, but 36/3 leads to a whole number
So,
38/3 = (36+2)/3
38/3 = 36/3 + 2/3
38/3 = 12 + 2/3
38/3 = 12 & 2/3
You can use your calculator to note that 38/3 = 12.667 approximately, which is also the value of 12 & 2/3, since 2/3 = 0.667 approximately. This helps confirm we did the conversion correctly.
Answer:
x = 3
Step-by-step explanation:
The two triangles at the left have the same angles and share a side, so they are congruent. Therefore, the vertical side is also 6x−2.
Using the same logic, the two triangles on the right have the same angles and share a side, so they are congruent. Therefore, the vertical side is also 9x−11.
So:
6x − 2 = 9x − 11
9 = 3x
x = 3
